1. The side view of Mrs. Marigold's roof on her house
is shown below.
26 ft.
h
48 ft.
Find h, the height of Mrs. Marigold's roof.

The work would be finished 3 times faster if they had been doing the work at the same time. The correct option is B.

Assumption;

Provided each one of the workers works for an hour which is equivalent to the time it takes to finish the hole.

In essence, the total time required to finish the ditch by 2 workers is; 2 hours.

Hence, for 3 workers working simultaneously, the time required is

1hour  = 60 minutes

However, since they took 1 hour turns on the job, it follows that; The total time used is;

Total time = 3 × 1hr = 3 hours = 180 hours

Hence they could have finished the work in;

R = 180/60 times faster =3 times faster.

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1000 yards in kilometers will be 0.9 km.

The yard is a United States customary measurement. In this form of measurement, we have yards, feet, and inches.

1 Yard = 3 feet.

1 foot = 12 inches.

Here we are given 1000 yards,

1000 yards = 3 X 1000 feet

= 3000 feet

= 36000 inches.

Now, converting this to the metric measures we know that

1 inch = 2.5 cm

Hence, 36000 inches = 90000 cm.

1 cm = 1/100 m

Hence, 90000 cm = 90000/100 m

= 900 m

1 m = 1/1000 km

Hence, 900 m = 900/1000 km

= 0.9 km

Hence, 1000 yeard = 0.9 km.

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The true statement about the function in the list of options is (d) none of these

From the question, we have the following parameters that can be used in our computation:

p c

0.25 1.69

0.45 3.04

0.75 5.06

1.25 11.81

Where

The values in the p column represent the domain

In this case, the domain is

Domain = [0.25, 1.25]

The values in the c column represent the range

In this case, the range is

Range = [1.69, 11.81]

This means that the options (a), (b) and (e) are false

For option (c), we have

c = 6.75p

This means that

c = 6.75 * 0.25 = 1.69

c = 6.75 * 0.45 = 3.04

c = 6.75 * 0.75 = 5.06

c = 6.75 * 1.25 = 8.43 -- false

This means that the option (d) is false

Hence, none of the options is true

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The correct option is B.Because when i use deduction and start from a given set of rules and condition is what must be true.If you analyze it to be true then it must be definitely true.

Deduction is a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument. For example to solve 2x = 6 for x we divide both sides by 2 to get 2x/2 = 6/2 or x = 3.

In mathematical logic a deduction theorem is that justifies doing conditional proofs—to prove an implication A → B, assume A as an hypothesis and then proceed to derive B—in systems that do not have an explicit inference rule for this.

Now we able to know

Deduction is a term used to known as validated principle.This is when you analyze points through logic from a given set of rules and condition.

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Answer:

35 cu cm

Step-by-step explanation:

Volume is 1/3 the volume of the cylinder.  So, (1/3)(105) = 35 cu cm

Answer:

yes!

Step-by-step explanation:

the y axis vertical, and the x axis is horizontal!

Answer:

Step-by-step explanation:

Days in may = 31

Days in a year = 365

therefore, expected ratio = 31/365

Answer:

110° and 215°

Step-by-step explanation:

to measure the bearing from one point to another

the bearing is measured clockwise from a north line.

(a)

clockwise from the north line N at C to D is 110°

(b)

clockwise from the north line N at C to D is 215°

Answer:

The value of t is 19.04

Step-by-step explanation:

[tex]7e^{0.1t} = 47\\[/tex]

[tex]e^{0.1t} = \frac{47}{7}[/tex]

take log both sides :

[tex]ln(e^{0.1t}) = ln(\frac{47}{7}) \\0.1t = 1.9042\\t = \frac{1.9042}{0.1}\\t = 19.04[/tex]

Answer:

4

Step-by-step explanation:

3 - h(x + 4) -2y  Substitute in what was given.

3 -(-5)(-5+4)-2(-3)

3 + 5(-1) + 6

3-5+6

-2+6

4

Answer:

3-(-5)(-5+4)-2(-3)

3+5(-1)+6

3-5+6

-2+6

4

Answer:

1.25 hours or 1 hour and 15 minutes

Step-by-step explanation:

12:45 - 12:30 = :15

15 minutes equates to 1/5 of the rides

So, we multiply 15 by 5 to find the total time taken to ride all the rides.

15 x 5 = 75

75/60 = 1.25

It would take him 1.25 hours to ride all the rides at the carnival or 1 hour and 15 minutes.

Answer:

y = 49 1/3

Step-by-step explanation:

1/8y-2/3=5.5

1/8y = 5.5 + 2/3

multiply both sides by 8:

y = 8(5.5 + 2/3) = 44 + 16/3 = 44 + 5 1/3 = 49 1/3

According to the use and the fundamental knowledge behind these formulas, The top 5 formulas in mathematics are quadratic, Pythagorean , slope-intercept , exponential and Euler's Formula.

Mathematics is the study of numbers, shapes, and patterns. It is the science of studying the properties and relationships of quantities and shapes using logic, symbols and mathematical operations. It is a way of understanding the world and solving problems using quantitative reasoning.

A mathematical formula is a set of symbols, numbers and mathematical operations that express a relationship or equation. These formulas are used to model, describe and explain phenomena in the natural and physical world, as well as in abstract mathematical theories. Formulas can take many forms, including equations, identities, and inequalities. They allow us to make predictions and calculations, and can be used in various fields of science, engineering and other fields to solve problems.

1. root of [tex]ax^2+bx+c[/tex] is [tex]x= \frac {-b+- \sqrt{b^2-4ac}}{2a}[/tex].

2.[tex]h^2 = p^2 +b^2[/tex]

3. [tex]y =mx+c[/tex]

4.[tex]e^x[/tex]

5.[tex]e^{ix} = cosx+isinx[/tex]

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Answer:

Step-by-step explanation:

You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.

The system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.

  p + m = 5 . . . . . . total mixture weight is 5 lb

  p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix

We can subtract the second equation from the first to eliminate the variable p:

  (p +m) -(p +.2m) = (5) -(.6)(5)

  0.8m = 0.4(5) . . . simplify

  m = 2.5 . . . . . . . . divide by 0.8

  p = 5 -m = 2.5

The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.

The probability of point being in between B and C is 0.167

Probability is a statistic used to indicate the likelihood or potential that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.

Distance between B and C= 4 units

Total distance=24

Probability that point lie between B and C = 4/24 =1/6

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Answer:

96

Step-by-step explanation:

5 x 6 = 30

78 - 12 = 66

5 x 6 + 78 - 12

= 30 + 66

= 96

Answer:96

Step-by-step explanation:

Answer:

When you have a good credit score, you're more likely to meet lending approval guidelines and borrow money when you need it most, explains McClary. This can help if you're ever in a pinch and need to open a credit card. You're more likely to qualify for a 0% APR card like the Citi Simplicity® Card.

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Have a good day- look at this image <3

Answer: 3.8%

Step-by-step explanation:

First find the interest cost:

= Amount repaid - Amount borrowed

= 11,052 - 9,000

= $2,052

This cost is the simple interest and because it is the same figure per year, the annual simple interest can be determined by dividing the above by the number of years:

= 2,052 / 6

= $342

Now that we have the simple interest amount, divide it by the amount borrowed to find the rate:

= 342 / 9,000

= 3.8%

The cumulative total in Vietnam j(n) is 23(n-1),cumulative takes into account all data up to the present. In month four, j(n) will be worth more than v(n).

The distinction between total and cumulative is that total refers to the entirety of something, whereas cumulative takes into account all data up to the present.

When a new number is added to a series of numbers, the running total is updated by adding the new number's value to the previous running total. Partially sum is another name for it. Running totals serve two distinct objectives.

We take it for granted that you mean that vehicles delivered to Vietnam should be modeled by v(n) = 5 + 11 and those sent to Japan by j(n) = 23(n-1).

In month four, j(n) will be worth more than v(n).      

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Answer:

[tex]9.9 ~in[/tex]  ✔︎

Step-by-step explanation:

[tex]A=1/2 ~ base * height[/tex]

[tex]49=1/2(x)(c)[/tex]

[tex]98=x^2[/tex]

[tex]x=\sqrt{98}[/tex]

[tex]x=7\sqrt{2}[/tex]

[tex]x=9.9[/tex]

༄❁༄❁༄❁༄❁༄

hope it helps...

have a great day!!

2a+b=15.7 is the formula used to get the base's length and b has a value of 3.

Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and Skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

An isosceles triangle has 2 equal sides that are longer than the length of the base

perimiter=15.7

equation is 2a+b=15.7

so if the longer side is 6.3

we know that identical sides are bigger so 6.3 is one of the identical sides

2a means the 2 identical sides

2(6.3) + b = 15.7

12.6 + b = 15.7

subtract 12.6 from both sides

b = 3.1

therefore, The equation used to find the length of the base is 2a+b=15.7

and the value of b is 3.1

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Answer:

12.6 + b = 15.7

The total cost of the bill that sells for $42 is $54.0204

From the question, we have the following parameters that can be used in our computation:

Cost of the bill = $42

Sales tax = 9%

Tip = 18%

The total cost of the bill that sells for $42 is then calculated as

Total cost = Selling price * (1 + Sales tax) * (1 + tip)

Substitute the known values in the above equation, so, we have the following representation

Total cost = 42 * (1 + 9%) * (1 + 18%)

Evaluate

Total cost = $54.0204

Hence, the total cost is $54.0204

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The longest tornado ever recorded spanned 219 miles of land as it swept through many states at a pace of 60 miles per hour.

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The solution of the system of equations y =0 x=4

To solve the system of equations, we must set the two equations equal to each other and solve for x.

y = -2x + 8

y = x - 4

We start by subtracting the second equation from the first equation.

-2x + 8 = (x - 4)

We then add 4 to both sides of the equation.

-2x + 12 = x

We then subtract 12 from both sides of the equation.

-3x = -12

Finally, we divide both sides of the equation by -3.

x = 4

Now that we have solved for x, we can substitute 6 for x in either equation and solve for y.

y = -2(4) + 8

y = -8 + 8

y = 0

Therefore, the solution of the system of equations is (4, 0).

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What is the solution of the system of equations  y= -2x + 8 and y = x - 4?

All that is the equivalent angle to the given angle sin∠GFH is cos∠GEJ.

Corresponding angles are those angles which are created in the matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

From the image, we get JE and HF are parallel.

So ∠GFH and ∠GEJ are corresponding angles. That means they are equal.

⇒sin(∠GFH) = sin(∠GEJ).

From triangle GFH, ∠GFH + ∠FGH = 90.

⇒sin(∠GFH) = cos(∠FGH).

Again ∠FGH = ∠EGJ.

⇒sin(∠GFH) = cos(∠EGJ)

All that is equivalent to sin∠GFH is cos(∠EGJ).

Thus, the correct answer is D.

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