A 30-foot support cable is attached 22 feet up from the base of an electric pole. What is the measure of the angle to the nearest tenth that the cable makes with the ground?

Answers

Answer 1

Answer:

In this problem, we have a right triangle where the hypotenuse is the 30-foot support cable and one leg is 22 feet (the distance from the base of the pole to where the cable is attached). To find the angle that the cable makes with the ground, we need to use trigonometry. The tangent of an angle in a right triangle is equal to the length of the opposite side divided by the length of the adjacent side. In this case, we want to find tan(θ), where θ is the angle between the cable and the ground. Therefore, tan(θ) = opposite/adjacent = 22/30 = 0.7333. Taking inverse tangent on both sides gives us θ = tan^-1(0.7333) ≈ 36.7 degrees to one decimal place. Therefore, to the nearest tenth, the measure of the angle that the cable makes with the ground is approximately 36.7 degrees.


Related Questions

Solve these questions

Answers

Answer: 36

Step-by-step explanation: Since the sum of the angles in a triangle is 180 degrees, we can set up an equation:

x + 2x + 2x = 180

Simplifying the equation, we get:

5x = 180

Dividing both sides by 5, we get:

x = 36

Therefore, the value of x is 36 degrees.

Answer:

look at the photo.........................

Please help!!!
Question below!!

Answers

1. Dilation is the process of enlarging or shrinking a figure or shape by a scale factor.

2. Reflection is the process of flipping a figure or shape over an axis. In this example, A'B'C' is reflected over the x-axis.

3. A pair of triangles that are congruent are triangles with the same size and shape.

4. A pair of triangles that are similar are triangles with the same shape but different sizes.

What is dilation?

Dilation is a mathematical operation used to expand or contract a shape. It involves multiplying every point in the shape by a given scale factor. The scale factor determines how much the shape is changed. The result is a line segment twice the length of the original.

1. In this example, triangle ABC is dilated by a factor of 2 about the point (-1,4). This means that all points on the triangle ABC will be multiplied by the scale factor 2. So the coordinates of point A will become (N-1,6) x 2 = (-2,12), point B will become (-4,5) x 2 = (-8,10) and point C will become (-4,0) x 2 = (-8,0). The new triangle created by the dilation is A'B'C'.

2. This means that the x-coordinates of the points remain the same, but the y-coordinates are multiplied by -1. So the coordinates of point A' will become (-2,12) x -1 = (-2,-12), point B' will become (-8,10) x -1 = (-8,-10) and point C' will become (-8,0) x -1 = (-8,0). The new triangle created by the reflection is ABC'.

3. A pair of triangles that are congruent are triangles with the same size and shape. In other words, the sides and angles of the two triangles are all equal.

4. A pair of triangles that are similar are triangles with the same shape but different sizes. In other words, the angles of the two triangles are equal, but the sides are not necessarily the same length.

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Which of the following is NOT a geometric sequence?

a. 20,−40,80,−160,320,...
b. 5,2.5,1.25,0.625,0.3125,...
c. 1,2,4,8,16,...
d. 100,50,10,5,1,...

Answers

Answer:

The sequence 100, 50, 10, 5, 1, ... is NOT a geometric sequence because there is no single constant ratio that multiplies each term to get the next one.

I need help with question 1

Answers

Hy bro in which class you are?

alexis puts dimes and quarters aside for the parking meter. she has a total of 20 coins and they are worth $3.80. how many quarters does alexis have?

Answers

Alexis has 12 quarters and 8 dimes.

Let's use d to represent the number of dimes and q to represent the number of quarters. We know that Alexis has a total of 20 coins, so d + q = 20.

We also know that the value of these coins is $3.80. Since dimes are worth $0.10 and quarters are worth $0.25, we can write an equation for the total value in cents:

10d + 25q = 380

To make things easier, let's divide both sides of the equation by 5:

2d + 5q = 76

Now we can use the first equation to solve for d in terms of q:

d + q = 20

d = 20 - q

Substituting this into the second equation gives:

2(20 - q) + 5q = 76

Expanding the parentheses and simplifying, we get:

40 - 2q + 5q = 76

3q = 36

q = 12

Therefore, Alexis has 12 quarters. We can check this by plugging q back into the first equation to find that she has 8 dimes as well:

d + q = 20

d + 12 = 20

d = 8

The total value of 12 quarters and 8 dimes is:

12 quarters x $0.25 per quarter + 8 dimes x $0.10 per dime = $3.00 + $0.80 = $3.80


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a coffee distributor needs to mix a(n) kenya coffee blend that normally sells for $8.20 per pound with a breakfast coffee blend that normally sells for $14.00 per pound to create 10 pounds of a coffee that can sell for $9.36 per pound. how many pounds of each kind of coffee should they mix?

Answers

The coffee distributor should mix 8 pounds of Kenya coffee blend and 2 pounds of breakfast coffee blend to make 10 pounds of a coffee blend that can sell for $9.36 per pound.

We can use the idea of weighted averages to overcome this issue. Assume that 10 pounds of the desired blend require x pounds of Kenya coffee blend and y pounds of morning coffee blend.

The price of the Kenya coffee mix per pound is $8.20, while the price of the morning coffee blend per pound is $14.00. The required combination costs $9.36 per pound. On the basis of the weighted average, we can construct the following equation:

8.20x + 14.00y = 9.36(10) (10)

When we simplify this equation, we obtain:

8.20x + 14.00y = 93.60

Given that we are producing 10 pounds of the ideal blend, we also know that x + y = 10. To get the values of x and y, we can use substitution or elimination to solve this system of equations.

Use substitute now. We can find x from the second equation by solving in terms of y:

x = 10 - y

Substitute this into first equation, we get:

8.20(10 - y) + 14.00y = 93.60

82 - 8.20y + 14.00y = 93.60

5.80y = 11.60

y = 2

We obtain x = 8 by substituting y = 2 into x = 10 - y. Hence, to manufacture 10 pounds of a coffee mix that can be sold for $9.36 per pound, we'll need 8 pounds of Kenya coffee blend and 2 pounds of breakfast coffee blend.

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What is i 48 equal to? Show steps how you get your answer please.

Answers

Answer: Bro Didnt give any context dont report if wrong

Step-by-step explanation:

i is the imaginary unit, which is defined as the square root of -1.

To find the value of i^48, we can use the fact that i^2 = -1, and simplify the expression as follows:

i^48 = (i^2)^24

Since i^2 = -1, we can substitute -1 in the above expression:

(i^2)^24 = (-1)^24

Any non-zero number raised to an even power is positive, so (-1)^24 = 1. Therefore:

i^48 = 1

Hence, i^48 is equal to 1.

In a population of tomato plants, mean fruit weight is 60 g and (hp) is 0.12. Predict the mean weight of the progeny if tomato plants whose fruit averaged 80 g were selected from the original population and interbred. Express your answer using three significant figures.

Answers

Hence, the predicted mean weight of progeny is 77.6 g (rounded off to three significant figures).

As given that the mean fruit weight of a population of tomato plants is 60 g and the heritability coefficient (h_p) is 0.12, it is required to predict the mean weight of the progeny if tomato plants whose fruit averaged 80 g were selected from the original population and interbred .

The formula for the predicted mean weight of progeny (MP) is given as: MP =  mean weight of selected individuals + (h_p) × (mean weight of original population - mean weight of selected individuals)

Using the above formula, we have ,mean weight of selected individuals = 80 g mean weight of original population = 60 gh_p = 0.12Substituting the given values in the above formula, we get :[tex]MP =  80 + 0.12 × (60 - 80)MP =  80 + 0.12 × (-20)MP =  80 - 2.4MP =  77.6 g[/tex]

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A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
Blue
Green
Yellow
Purple
14
6
12
4
16
Based on these results, express the probability that the next spin will land on purple
as a fraction in simplest form.

Answers

Answer:

4/13

Step-by-step explanation:

total = 14 + 6 + 12 + 4 + 16 = 52

purple = 16

p(purple) = 16/52 = 4/13

I need the answer to this please hurry

Answers

Answer: 240 is your answer for 100% of the e-book

Step-by-step explanation: so if we look at the given facts, 180 is 75% of the e-book, now take this and divide 180 by 3, and you get 25% of the e-book (60 is 25%) so if we factor that back into the 180 75%, we now get 240 at 100% of the e-book read

t = 240

Explanation: You can do (180 * 4)/3 which gives you 240

math help needed detailed explanation

Answers

The percentage of 8th graders who send more than 50 texts is 56.15%

How to find the percentage?

Here we want to find the percentage of eight grades who send more than 50 texts, and to get that we need to use the values in the table.

The formula for that percentage is:

P = 100%*(number that send more than 50 texts)/(total number)

On the table we can see that the total number of 8th gradesr is 130, and the number that send more than 50 messages is 73, then the percentage is:

P  = 100%*(73/130)

P = 56.15%

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A box contains 4 rows of eggs with 12 eggs in each row .if these eggs are arranged in 6 rows ,how many eggs will be in each row? ​

Answers

Answer:

8

Step-by-step explanation:

The box contains a total of 4 x 12 = 48 eggs.

If we arrange these eggs in 6 rows, we need to divide the total number of eggs by 6:

48 ÷ 6 = 8

Therefore, there will be 8 eggs in each row.

​Using _____, a supplier can use radio frequency identification (RFID) tags on each crate, case, or shipping unit to create a digital shipping list.

Answers

Using RFID (radio frequency identification) technology, a supplier can use RFID tags on each crate, case, or shipping unit to create a digital shipping list.

Radio frequency identification (RFID) technology is a wireless communication technology that enables the automatic identification and tracking of objects. RFID tags contain a microchip and an antenna, and are typically attached to or embedded within objects such as crates, cases, or shipping units.

These tags can store information such as a unique identification number or product details, which can be read wirelessly by RFID readers or scanners.

When used in shipping and logistics, suppliers can attach RFID tags to each crate, case, or shipping unit to create a digital shipping list. As the products move through the supply chain, the RFID tags can be read at various checkpoints, providing real-time information on the location and status of the products.

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What is the percent of decrease from 98. 7 to 0?

Answers

0 is a 100% decrease of 98.7. Hope this helped!

Solve for z.


z² = 16

Enter your answer in the box.

Answers

Answer: 4

Step-by-step explanation:

z^2 = 16

Since z is squared and we know that it equals 16. Take the square root of 16 which is 4.

4 x 4 = 16

Answer:

Step-by-step explanation:

16

which three of the following theorems verify that triangle WXY=triangle PME?

Answers

The theοrem that verifies that WXY=PME is AA, which stands fοr "Angle-Angle" similarity theοrem.

What theοrem verifies that WXY=PME?

Accοrding tο the AA similarity theοrem, if twο angles οf οne triangle are cοngruent tο twο angles οf anοther triangle, the triangles are similar.

In this case, we have twο cοrrespοnding angles in triangle WXY and triangle PME that are cοngruent: angle WXY is cοngruent tο angle PME because they are vertical angles, and angle XYW is cοngruent tο angle MEP because they are alternate interiοr angles fοrmed by parallel lines.

Therefοre, by the AA similarity theοrem, we can cοnclude that triangle WXY and triangle PME are similar.

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i thought of a number. four times the number increased by 30 equals 70 decreased by the number. what was my number?

Answers

Answer:

number is 8

Step-by-step explanation:

let n be the number then 4 times the number is 4n and increased by 30 means adding 30 to it , that is 4n + 30

70 decreased by the number means subtracting n fro 70 , 70 - n

then

4n + 30 = 70 - n ( add n to both sides )

5n + 30 = 70 ( subtract 30 from both sides )

5n = 40 ( divide both sides by 5 )

n = 8

Please help and hurry

Answers

Answer: 90

Step-by-step explanation: I've done this before

The price of a new car is $28,000. Assume that an individual makes a down payment of 25% toward the purchase of the car and secures financing for the balance at the rate of 6%/year compounded monthly. (Round your answers to the nearest cent. )

(a) What monthly payment will she be required to make if the car is financed over a period of 36 months? Over a period of 60 months?
36 months=$
60 months=$

(b) What will the interest charges be if she elects the 36-month plan? The 60-month plan?
36-month plan =$
60-month plan=$

Answers

(a) The monthly payment for a 36-month plan is $704.41, and for a 60-month plan is $488.08.

(b) The interest charges for the 36-month plan are $1,459.07, and for the 60-month plan are $3,369.10.

For a)

To calculate the monthly payment for a car loan, we need to use the formula for monthly payments:

M = [tex]P[r(1+r)^n / ((1+r)^n - 1)][/tex]

where M is the monthly payment, P is the principal (the loan amount), r is the monthly interest rate (the annual interest rate divided by 12), and n is the number of months over which the loan is to be repaid.

For the 36-month plan, the principal is 75% of $28,000, or $21,000. The monthly interest rate is 6% / 12, or 0.005. The number of months is 36. Plugging in these values, we get:

M = $[tex]21,000[0.005(1+0.005)^{36} / ((1+0.005)^{36} - 1)][/tex] = $704.41

For the 60-month plan, the principal, monthly interest rate, and a number of months are the same, but we change the number of months to 60:

M = $21,000[0.005[tex](1+0.005)^{60[/tex] / ([tex](1+0.005)^{60[/tex] - 1)] = $488.08

Therefore, the monthly payment for a 36-month plan is $704.41, and for a 60-month program is $488.08.

For b)

To calculate the total interest charges for the loan, we need to subtract the principal (the amount of the loan) from the total amount paid and round to the nearest cent:

For the 36-month plan, the total amount paid is $25,459.07 (36 x $704.41), so the interest charges are:

$25,459.07 - $21,000 = $4,459.07, rounded to $1,459.07

For the 60-month plan, the total amount paid is $29,284.80 (60 x $488.08), so the interest charges are:

$29,284.80 - $21,000 = $8,284.80, rounded to $3,369.10

Therefore, the interest charges for the 36-month plan are $1,459.07, and the 60-month plan are $3,369.10.

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Brooke played her flute for 3/4 hour each day for 5 days and for 1/2 hour each day for 2 days how many hours did she play it in all

Answers

⇒To be able to answer this question to find how many hours Brooke played his flute for 5 days we ought to first convert the 5 days to hours.

⇒There are 24 hours in a day this means that in 5 days we have =24×5

=120 hours.

⇒We have 120 hours in 5 days , it is said that Brooke played her flute [tex]\frac{3}{4}[/tex],

Meaning she played the flute [tex]\frac{3}{4}[/tex] hours of 120 hours which is equal

[tex]\frac{3}{4} *\frac{120}{1}\\=90[/tex]

For 5 days Brooke played her flute 90 hours

⇒The next step is to convert the 2 days to hours which is equivalent to 24×2

=48 hours are in 2 days, it is said Brooke played the flute [tex]\frac{1}{2}[/tex] hours of 2 days. This simply is equivalent to

[tex]\frac{1}{2} *\frac{48}{1} \\=24[/tex]

⇒For 2 days Brooke played the flute 24 hours,

The total number of hours she played it all is =Number of hours she played it in 5 days+ Number of hours she played it in 2 days.

=90+24

=114

⇒In total of these 7 days she played the flute for 114 hours

7(g−10h+4) please helpppppppppppp

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{7(g - 10h + 4)}[/tex]

[tex]\large\text{\underline{Distribute} \boxed{\text{7}} \underline{within the parentheses}:}[/tex]

[tex]\mathsf{= 7(g - 10h + 4)}[/tex]

[tex]\mathsf{= 7(g) + 7(-10h) + 7(4)}[/tex]

[tex]\mathsf{= 7g - 70h + 28}[/tex]

[tex]\large\text{We \boxed{\text{cannot}} do anything further because we do NOT have any \underline{like}}\\\large\text{\underline{terms}}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\mathsf{7g - 70h + 28}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Which equations can be used to solve for y, the length of the room? Select three options.

y(y + 5) = 750
y2 – 5y = 750
750 – y(y – 5) = 0
y(y – 5) + 750 = 0
(y + 25)(y – 30) = 0

Answers

B, C, E . Yes those are right answers yes

jenelle draws one from a standard deck of 52 cards. determine the probability of drawing either a two or a king? write your answer as a reduced fraction. answer

Answers

Answer:

2/13

Step-by-step explanation:

A standard deck of cards has four suits
Therefore there are four twos, one from each suit
There are also 4 kings, one from each suit

P(two) = 4 twos/52 cards = 4/ 52 = 1/13

PKing) = 4 kings/52 cards = 1/13

P(two or king) = P(two) + P(king)
= 1/13 + 1/3

= 2/13

To fill a pool, Barb uses two hoses. The first hose is rated to fill the pool in
10 hours. The second hose is rated to fill it in 5 hours. If Barb adds a third
hose that uses the slower rate, how long will it take to fill the pool.
It will take [1] hours to fill the pool.

Answers

Using division operation, the length it will take the three hoses to fill the pool is 8.33 hours.

What is the division operation?

The division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.

The division operation involves the dividend, the divisor, and the result called the product.

In this situation, it will take Hose A 10 hours to fill the pool and Hose B 5 hours.  If the two hoses are in use, it will 7.5hours (10 + 5)/2.

When the third hose is added, it will take 8.33 hours (10 + 5 + 10)/3.

The first hose's filling rate for the pool = 10 hours

The second hose's filling rate for the pool = 5 hours

The third hose's filling rate for the pool = 10 hours (the slower rate)

The total number of hours used by the three hoses = 25 hours (10 + 5 + 10)

The number of hoses used = 3

The length of time it will take the 3 hoses to fill the pool = 8.33 hours (25/3)

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Pls how do I solve
b) log₂ (7y-1)=3+log₂ (y-1).

Answers

Step-by-step explanation:

Put the logs on the same side.

[tex] log_{2}(7y - 1) - log_{2}(y - 1) = 3[/tex]

Using log rules, whenever you separate two logs using subtraction and they have the same base, we can write them as one log where they are a rational function

[tex] log_{2}( \frac{7y - 1}{y - 1} ) = 3[/tex]

Let both of these expression be the power of a exponent with base 2.

[tex]2 {}^{ log_{2}( \frac{7y - 1}{y - 1} ) } = 2 {}^{3} [/tex]

The base 2 and log base 2 cancel out

[tex] \frac{7y - 1}{y - 1} = 8[/tex]

When y =1, we will get undefined so y cannot be 1

However, multiply both sides by y-1

[tex]7y - 1 = 8(y - 1)[/tex]

[tex]7y - 1 = 8y - 8[/tex]

[tex]7 = y[/tex]

How do I solve this?

Answers

I would suggest finding k first.

If [tex]k^2-3k+5=0\\[/tex],

[tex]k=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(5)}}{2(1)}[/tex] by the quadratic formula.

[tex]k=\emptyset[/tex] by the discriminant being negative.

So the expression in terms of k that you need to find cannot be determined.

Prove that the conditional "All dodecagons must have eleven sides" is false by a counterexample.​

Answers

All dodecagons must have eleven sides is false and and can be proven through a counter example.

What are dodecagons?

A dodecagons is a polygon which has 12 sides, 12 vertices. In this word do means "Two" and deca means "Ten".

Similar to other polygons, a dodecagon is also a two-dimensional plane figure. A regular dodecagon polygon has 12 equal sides and has 12 equal measures of angles. Irregular dodecagons have unequal sides and angles. Also, a dodecagon can be a convex polygon or concave polygon.

What is a Polygon?

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges.

So a dodecagon must have twelve sides even though it may be regular or irregular.

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the likelihood that the decision made based on the sample differs from the decision that would have been made if the entire population had been examined is

Answers

The likelihood that the decision made based on the sample differs from the decision that would have been made if the entire population had been examined is called sampling risk.

What is Sampling error?

Sampling error refers to the disparity between a sample's characteristics and those of the population from which it was drawn. It arises from using a sample rather than the whole population to estimate statistics such as mean, variance, and proportions.

Since a sample only represents a portion of the population, it cannot be expected to have the same characteristics as the whole population. The study of sampling error is an essential part of statistical analysis, as it is a source of uncertainty in making inferences about the population from a sample.

To reduce the sampling error in your survey, you can utilize a larger sample size. It is also beneficial to ensure that the sample is chosen randomly and without bias.

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PLEASE HELP ASAP!!!!!!

Answers

Answer:

The greatest common factor (GCF) of -16x^2 - 6x^4 is 2x^2.

To find the GCF, we can factor out the common factors of the two terms. In this case, both terms have a factor of 2 and a factor of x^2.

-16x^2 - 6x^4 = 2x^2(-8 - 3x^2)

So the GCF is 2x^2.

HELP I’m struggling and it’s due today :,)) please help.

Will give brainliest :,,))))

Answers

Answer:

Step-by-step explanation:

4. a

x cannot be 0 because 2/0 cannot be calculated - we say that it is undefined.

b. x cannot be 1 as that would mke the denominator x - 1 = 0 which is undefined.

5 a. (9x - 5)(9x + 5)

b. (2x + 1)(x - 3).

6.

C.  (x + 7)/3

7.

a. (-5, ∝)

b. (-∝, 2]

c.(-3, 7].

8.

y = kx

24 = 16k

k = 1.5

So, y = 1.5x

When x = 50

y = 1.5*50 = 75.

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