Answer: 16.666666 feet
Explanation: 25/9=x/6 (25*2)/3 =50/3 I hoped this helped you solve your problem. Have a good day love!
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The Height of the fence is 8 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
tan(θ) = Perpendicular/Base
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
Given that a 25-foot tree casts a 6 1/4-foot shadow. Also, At the same time, a fence casts a 2-foot shadow.
Length of the shadow = 6 1/4 feet = 6 + 1/4 = 6.25 feet
Now, since the sun is at the same angle, therefore, the angle between the top of the object and the top of the its shadow will be the same for all the objects. Therefore,
tan(θ) = Height of the tree/Shadow of the tree = Height of the fence/Shadow of the fence
tan(θ) = 25 feet / 6.25 feet = Height of the fence / 2 feet
Height of the fence = (2feet × 25 feet) / 6.25 feet
Height of the fence = 8 feet
Hence, the Height of the fence is 8 feet.
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(Please answer, 100 points)
Find the circumference of each of the following circles. Use 3.14 for π.
(The last one is 25 mi across.)
These were my answers, are they correct:
6a. 53.38
6b. 100.48
6c. 122.46
6d. 78.5
use the formula 2πr
106.76 300.962×3.14×(1/2)×39 = 122.4678.5the c bit I did the whole process cuz the diameter is given and for the d bit i thought what you were trying to say is 25 diameter.
hope it helps and don't forget to put the units wherever necessary.!!!!
Carmen earns 3% a year on money in her savings account. She had $354 in her account last year how much interest did she earn
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3\% of 354}}{\left( \cfrac{3}{100} \right)354}\implies 10.62[/tex]
WILL MARK BRAINLIST!!!
Answer:
[tex]3/4[/tex]
Step-by-step explanation:
We are asked to find the difference which means we will be using subtraction.
We are given two numbers to use [tex]4\frac{1}{12}[/tex] (Houston to Dallas) & [tex]3\frac{1}{3}[/tex] (San Antonio to Houston).
To be able to subtract, we need to have the same denominator on both fractions, which we can do by multiplying 1/3 by 4
[tex]\frac{1}{3} * 4=\frac{4}{12}[/tex]
now we can subtract the numbers and simplify!
[tex]4\frac{1}{12} -3\frac{4}{12} =\frac{9}{12} =\frac{3}{4}[/tex]
Which one is it? And what is the answer for x?? Please help ASAP!!
Answer:
see below
Step-by-step explanation:
sin 67 = opp/hyp = x/20
20 * sin 67 = x
The foot of an extension ladder is 15 feet from the wall. The ladder is 7 feet less than three times longer than the height that it reaches on the wall. What is the length of the ladder
Answer:
38
Step-by-step explanation:
15 x 3(or 15+15+15)=45
45-7=38
Which equation represents the graph below?
Answer:
y = cos(2x)
Step-by-step explanation:
This is equation must be a cosine function because it starts at a nonzero number. We can conclude that the final answer is D because the amplitude is 1 not 2. Also, the period (2π/k) is equal to 2π/π = 2.
See the image below for the different parts of a cosine/sine function.
I hope this helps!
don't spam!! complete answe= Brainliest answer
Answer:
Step-by-step explanation:
Finding final velocity.
[tex]\boxed{v_{f}=v_{i} + at}\\\\v_{f} -- > final \ velocity\\\\v_{i} -- > Initial velocity[/tex]
a -> accelaration
t ---> time
[tex]v_{i} = 7 \ m/s[/tex]
a = 2 m/s²
t = 5 s
[tex]v_{f}= 7 + 2*5[/tex]
= 7 + 10
= 17 m/s
10) h = 5 m
g = -10m/s²
[tex]t =\sqrt{\dfrac{2*h}{g}}\\\\ =\sqrt{\dfrac{2*5}{10}}\\\\= \sqrt{\dfrac{10}{10}}\\\\= 1[/tex]
t = 1 sec
Drawing a ball from a bag without looking is an example of simple random sampling. Which of these actions could affect the FAIRNESS of the outcome of this simple random sample? A. Use a box instead of a bag. B. Use balls that aren’t all the same color. C. Use balls that are all of the same shape. D. Use balls that aren’t all the same size.
Statement (D) uses balls that aren’t all the same size will affect the fairness of the outcome of this simple random sample if drawing a ball from a bag without looking is an example of simple random sampling.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We have:
Drawing a ball from a bag without looking is an example of simple random sampling.
As we know the degree to which we believe the distributions of outcomes are fair is referred to as outcome fairness.
These outcomes can include things like pay, perks, promotions, and other physical things, but they can also include things like praise and other forms of social recognition.
Thus, statement (D) uses balls that aren’t all the same size will affect the fairness of the outcome of this simple random sample if drawing a ball from a bag without looking is an example of simple random sampling.
Learn more about the population and sample here:
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Answer:
D
Step-by-step explanation:
I took the quiz on EDGE 2022
For which equation is 0 not a solution?
x - 5 = 4
6 x + 4 = 4
3 x = 0
x + 9 = 9
I think its the third one
Please help me!!
There were 36 campers at Yosemite Creek. They
had 10 large pepperoni pizzas to share equally.
How much pizza can each camper have?
Find PNFNM
answer choices below
Answer:
The answer is C. HOPE THIS HELPS!
Step-by-step explanation:
PLS GIVE ME BRAINILIEST IT WOULD REALLY REALLY HELP ME!
Consider the right triangle shown.
What is the length of the other leg?
Round your answer to the nearest tenth
These are the three basic trigonometric ratios:
The sine ratio: [tex]\sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]The rangent ratio: [tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]Here, 'opposite' or adjacent are referring to the legs in relation to one of the interior angles of the triangle, θ.
We can use these ratios to help us solve for side lengths or angles, depending on what information is given to us and what information we must solve for.
Solving the QuestionWe're given:
The indicated angle (θ) measures 70° The adjacent side measures 5.7 unitsWe must solve for the other leg, which is the 'opposite' sideBecause this question involves the adjacent and the opposite, we can use the tangent ratio to find the answer.
[tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]
⇒ Plug in the given information:
[tex]\tan(70^\circ)=\dfrac{opposite}{5.7}[/tex]
⇒ Multiply both sides by 5.7 to isolate 'opposite:
[tex]5.7\tan(70^\circ)=opposite\\opposite = 15.66062\dots[/tex]
⇒ Round to the nearest tenth:
[tex]opposite=15.7[/tex]
AnswerThe length of the other leg is 15.7 units.
make u the subject of formula in the equation s=2(u+v)t
Answer
u = s/2t - v
Step-by-step explanation:
HELP PLEASE ILL GIVE THE BRANLIEST THING IF U DO, PLEASEE
Answer:
The y-intercept is 5, and the slope is -3/2, y=5
Step-by-step explanation:
6 blue chips 13 pink chips 7 white chips Vicky takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Vicky takes out a blue chip in both draws? PLEASE HELLPP
Answer:
9/169Step-by-step explanation:
Total number of chips
6 + 13 + 7 = 26Probability of a blue chip
P(blue) = blue / total = 6 / 26 = 3/13The subsequent blue has same probability as the chip is replaced.
Probability of two blue chips is
P(blue, blue) = 3/13*3/13 = 9/169Answer:
[tex]\sf \dfrac{9}{169}[/tex]
Step-by-step explanation:
The bag has:
6 blue chips13 pink chips7 white chips⇒ Total number of chips = 6 + 13 + 7 = 26
Probability Formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Probability of choosing a blue chip from the first draw:
[tex]\implies \sf P(Blue)=\dfrac{6}{26}[/tex]
As the chips are replaced, the probability of choosing a blue chip from the second draw is the same as the first.
Therefore, the probability of taking out a blue chip in both draws is:
[tex]\begin{aligned}\implies \sf P(Blue)\:and\:P(Blue) & = \sf \dfrac{6}{26} \times \dfrac{6}{26}\\\\& = \sf \dfrac{6 \times 6}{\26 \times 26}\\\\& = \sf \dfrac{36}{676}\\\\& = \sf \dfrac{36 \div 4}{676 \div 4}\\\\& = \sf \dfrac{9}{169}\end{aligned}[/tex]
What is Foil Method give atleast one example
A foil method is a technique where two or more binomials multiply.
FirstOuterInnerLastExample 1[tex]\tt{(b + 3) (b + 7)}[/tex]
[tex]\tt{F: (b)(b) = b^2}[/tex]
[tex]\tt{O: (b)(7) = b7}[/tex]
[tex]\tt{I: (3)(b) = 3b}[/tex]
[tex]\tt{L:(3)(7) = 37}[/tex]
[tex] \tt{=b^2 +7b+3b+21}[/tex]
[tex]= \boxed{ \tt{b^2 +10b+2}}[/tex]
Example 2[tex]\tt{(x + 3)^2}[/tex]
[tex]\tt{F: (x)(x) = x^2}[/tex]
[tex]\tt{O: (x)(3) = x3}[/tex]
[tex]\tt{I: (3)(x) = 3x}[/tex]
[tex]\tt{L:(3)(3) = 9}[/tex]
[tex] \tt{=x^2 +3x+3x+9}[/tex]
[tex] = \boxed{ \tt{x^2 +6x+9}}[/tex]
8/7 as a mixed number
Answer:
[tex]1\frac{1}{7}[/tex]
Dan and Paul went shopping at a department store
Dan spent $4 more than Paul spent
Dan spent $24 at the store
Which equation could be used to calculate p, the amount Paul spent?
A. P-4=24
B. 4p=24
C. 4+24=p
D. 4+p=24
Answer:
D 4+p=24
Step-by-step explanation:
So P stands for Paul & how much he spent.
Dan spent $24 at the store & he spent $4 more than Paul, so Paul only spent $20. So P = $20
So which equation would work if you substituted $20 for P?
4 + P = 24
4 + 20 = 24
What is 135% of 62?
A: 8. 37
B: 83. 7
C:837
D:8370
Stephen borrows $10,000 from his uncle at a simple interest rate of 2%. He repays the loan in full after 3 years. How much money did Stephen pay his uncle back in total?
The total amount of money that Stephen would pay his uncle is equal to $10,600.
How to calculate simple interest.Mathematically, simple interest is calculated by using this formula:
I = PRT
Where:
I is the simple interest.P is the principal.R is the interest rate.T is the time measured in years.Given the following data:
Interest rate = 2% = 0.02.
Principal = $10,000.
Time = 3 years.
Substituting the given parameters into the formula, we have;
I = 10000 × 0.02 × 3
I = $600.
Amount of balance;
A = I + P
A = 600 + 10,000
A = $10,600.
Read more on simple interest here: brainly.com/question/24341207
root 3 + root 27 - 12 upon root 3 + 6 upon root 3
Answer:
2√3
Step-by-step explanation:
root 27
= √27
= 3√3
12 upon root 3
= 12 / √3
= ( 12 / √3 ) x ( √3 / √3 )
= ( 12 x √3 ) / ( √3 x √3 )
= 12√3 / 3
= 4√3
6 upon √3
= 6 / √3
= ( 6 / √3 ) x ( √3 / √3 )
= ( 6 x √3 ) / ( √3 x √3 )
= 6√3 / 3
= 2√3
root 3 = √3
root 3 + root 27 - 12 upon root 3 + 6 upon root 3
= √3 + 3√3 - 4√3 + 2√3
= 4√3 - 4√3 + 2√3
= 2√3
Answer:
2√3
Step-by-step explanation:
Our equation :
[tex]\sqrt{3} + \sqrt{27} - \frac{12}{\sqrt{3} } + \frac{6}{\sqrt{3} }[/tex]Simplifying
[tex]\sqrt{3} + \sqrt{9 *3} - \frac{12\sqrt{3} }{\sqrt{3}*\sqrt{3} } + \frac{6\sqrt{3} }{\sqrt{3}*\sqrt{3} }[/tex][tex]\sqrt{3}+3\sqrt{3} - \frac{12\sqrt{3} }{3}+\frac{6\sqrt{3} }{3}[/tex][tex]4\sqrt{3}-4\sqrt{3}+2\sqrt{3}[/tex]2√3What is the length of the dotted line? round to the nearest hundredth. 2.50 in. 3.75 in. 5.00 in. 6.25 in.
The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.
What is a hexagon?The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.
The perimeter of the hexagon is 7.5 inches.
Then the length of the hexagon will be
[tex]\rm 7.5 = 6x\\\\x \ \ = 1.25[/tex]
The length of the hexagon is 1.25 inches.
Then the diagonal length of the hexagon will be
y = 2 × 1.25
y = 2.5
The diagonal length of the hexagon is 2.5 inches.
Then the length of the dotted line is 3.75 inches.
More about the hexagon link is given below.
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Worth 41 points!
A camp counselor buys lunch for her campers at a nearby fast food restaurant. On Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of $39. On Thursday, she purchased 9 hamburger meals and 2 chicken meals, for a total of $35. Which pair of equations could be used to determine the cost of each type of meal?
Answer:
4x+3y=23
Step-by-step explanation:
4x+3y=23
2x+6y=34 multiply equation by 2 to get x values equivalent, so
4x+12y=68 now subtract firs equation from this
-(4x+3y=23)
so 9y=45 and y=5
now find x:
4x+3(5)=23
4x+15=23
4x=8
x=2
So, hamburgers cost $2 and chicken nuggets $5.
A water tank is in the shape of a cylinder with a height of 21 feet and a diameter of 8 feet. What is the volume, in cubic feet, of the water tank?
Answer:
1,055.04
Step-By-Step explanation:
Volume equals pi times radius squared times the hight.
You first calculate what the radius will be by dividing the diameter by two and then you procede to multiply the radius to a power of two which is the equvialent as multiplying it to the base number and then you multiply the then squared radius to pi and lastly multiply it by the hight and you have your answer.
[tex]\pi * (8x^{2}) * 21 \\\pi * (4x^{2}) * 21\\\pi * 16 * 21\\50.24 *21\\=1,055.04[/tex]
can someone help me please
Answer:
plug the 5 into the function
f(5)=(5)^2-5
f(5)= 25-5
f(5)=20
Step-by-step explanation:
Answer:
f(5) = 20
Step-by-step explanation:
so, we're going to plug in 5 as our x value, and the equation becomes:
f(5) = [tex](5)^{2}[/tex] - (5)
now we'll simplify
f(5) = 25 - 5
now solve...
f(5) = 20
What is the measure of one interior angle of a 26 gon?
[tex]\textit{sum of all interior angles in a polygon}\\\\ n\theta = 180(n~~ - ~~2) \begin{cases} n=\stackrel{\textit{number of}}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=26 \end{cases}\implies (26)\theta =180(26~~ - ~~2) \\\\\\ 26\theta =180(24)\implies 26\theta =4320\implies \theta =\cfrac{4320}{26}\implies \theta \approx 166.15^o[/tex]
Milani's teacher draws students names at random, calls on the student, and replaces the name so that students know they should always be prepared to respond. There are 202020 students in Milani's class. Let XXX be the number of names it takes for the teacher to draw Milani's name.
Find the probability that the teacher first draws Milani's name as the 7^{\text{th}}7
th
7, start superscript, start text, t, h, end text, end superscript name.
You may round your answer to the nearest hundredth.
P(X=7)=P(X=7)=
Using the binomial distribution, it is found that there is a 0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, there are 20 students, hence in each question the probability that Milani's name is called is p = 1/20 = 0.05.
The probability that the teacher first draws Milani's name as the 7th student is P(X = 0) when n = 6(none during the first six) multiplied by 0.05(called during the seventh), hence:
P(X = 7) = (0.95)^6 x 0.05 = 0.0368.
0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.
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A train travels 150 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?
Answer:
400 miles
Step-by-step explanation:
150---3
x --- 8
x= (150)(8) / 3 = 1200/3 = 400
Hope this helps
Answer:
x=400 miles
Step-by-step explanation:
Choose the method of pay that would result in the most earnings for one month on sales of $60,000. a. straight commission of 6% on all sales. b. monthly salary of $1,500 plus 3% commission on all sales. c. graduated commission of 4% on the first $50,000 in sales and 10% on anything over that. d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that. please select the best answer from the choices provided a b c d
The method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We're specified that:
One month sales of $60,000 occurs.Calculating the earnings from all the options:
Option a: straight commission of 6% on all sales.That means, we get:
Earning = 6% of 60,000 = [tex]\dfrac{60000}{100} \times 6 = 3600[/tex] (in dollars)
That means:
Earning = 1500 + 3% of 60,000 = [tex]1500 +\dfrac{60000}{100} \times 3 = 1500 + 1800 = 3300[/tex] (in dollars).
Option c : graduated commission of 4% on the first $50,000 in sales and 10% on anything over thatThat means, we get:
Earning = 4% of 50,000 + 10% of 10,000 (as total 60,000 dollars sales was done).
Earning = [tex]\dfrac{50000}{100} \times 4 + \dfrac{10000}{100} \times 10 = 2000 + 1000 = 3000[/tex] (in dollars)
Option d: graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.That means:
Earning = 5% of 40,000 + 9% of 20,000 (as 40000 + 20000 = 60000)
or, we get:
Earning = [tex]\dfrac{40000}{100} \times 5 + \dfrac{20000}{100} \times 9 = 2000 + 1800 = 3800[/tex] (in dollars).
Thus, option D provides the method for max earning.
Thus, the method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
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Answer:
D
Step-by-step explanation: i took the test
Jacobey needs 32/3cups of milk to make one cheesecake. He is baking 4 cheesecakes for
the school bake sale. How many cups of milk does he need for the cheesecakes?
Answer: 14⅔
Step-by-step explanation: If he needs 3⅔ cups to make 1 cheese cake then he will need 11/3 ×4 cups to make 4 cakes
44/3 =14⅔
(Let me know if you mean 32/3 cups or 3⅔cups )