Please Solve This Problem Using The Pythagorean Theorem, And Give Me The Right Answer And I Will Give (2024)

Step-by-step explanation:

an average of $3 per student would mean

sum(all students $) / 45 = 3

sum(all students $) = 3×45 = 135

x students have $5.

therefore (45-x) students have $2.

5x + 2(45-x) = 135

5x + 90 - 2x = 135

3x = 45

x = 15

so, 15 students have $5, and 45-15 = 30 students have $2.

400 dollars

4000/10=400 dollars

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

What is variation?

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

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Answer: B) -7(4x - 8) = -28x + 56

Step-by-Step Explanation:

=> -7(4x - 8) = -28x + 56
On opening the brackets on L.H.S,
= -28x + 56 = -28x + 56
=> L.H.S = R.H.S

Therefore this is a True Statement

The simplified value of the exponential expression is 2.

How to get the simplified expression?

Here we need to simplify the expression:

[tex]16^{1/4}[/tex]

First, you need to remember that:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then we can just write:

[tex]16^{1/4} = \sqrt[4]{16}[/tex]

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

[tex]2^4 = 16\\\\\sqrt[4]{16} = 2[/tex]

So we conclude that the simplified value is 2.

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Answer:

The simplified value of the exponential expression is 2.

How to get the simplified expression?

Here we need to simplify the expression:

First, you need to remember that:

Then we can just write:

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

So we conclude that the simplified value is 2.

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Answer:

Hey!

Well based on my knowledge it usually says that on the tissue box itself.... (in fine print)

i may be wrong.... but do check...

Answer:

44ft^2

Step-by-step explanation:

since there's two rectangles you end up 6 + 6 so you get 12 ft^2

then 4 x 8 = 32 ft^2

add 32 and 12, get 44 ft^2

Answer:

The equation is

g(x) = (x+5)² - 6

Answer: x=60°, y=60°

Step-by-step explanation:

because they are equilateral triangles, which the angles are all 60° Please correct me if I’m wrong, but I’m quite sure.

Answer:

3. 26 problems left

4. $69.20

Step-by-step explanation:

1. First I divided 5 into 2 to get a decimal, 0.4, and then I multiplied 0.4 to 65.

0.4 x 65 = 26

2. It said that Luke paid 2.75 for himself and 6 other friends, which is 7 people. I then multiplied 2.75 x 7 and got 19.25. I then added 19.25 to the other amount of money, and got 69.20.

49.95 + 19.25 = 69.20

Hope this helps <3

Answer:

Here is the ans...hope it helps

Answer:

y = 10

Step-by-step explanation:

if the figure is to be a parallelogram, then

∠ ACB and ∠ DAC are alternate angles and are congruent , that is

5y - 13 = 7 + 3y ( subtract 3y from both sides )

2y - 13 = 7 ( add 13 to both sides )

2y = 20 ( divide both sides by 2 )

y = 10

Answer:

Step-by-step explanation:

b

Answer:

BC = 25 in

AN = 12 in

BN = 16 in

NC = 9 in

Formulas:

Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Area of triangle

[tex]A = \frac{1}{2}bh[/tex]

A ... area of triangle

b ... base (one of the sides of the triangle)

h ... height perpendicular to base

Step-by-step explanation:

Given:

A = 90°

AB = 20 in

AC = 15 in

See attached picture.

1) BC

To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.

[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]

2) AN

AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.

Notice how AB is perpendicular to AC. We can use AB as base and AC as height.

[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]

Now that we have area, we can use BC as base and AN as height and solve for AN.

[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]

3) BN

Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.

[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]

4) NC

We know the lengths of BC an BN, so we can just subtract.

[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]

Answer: What do you know about statistics and data?

data are individual pieces of factual information recorded and used for the purpose of analysis

What do you think a measure of center for a data set would be?

Median and IQR

What do you think a measure of variation for a data set would be?

The most common measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.

Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?

Answer:

25

Step-by-step explanation:

the number of people that read the Kantipur or gorkhapatra or the Himalaya Times = 65 + 10 = 75

Then

The number of people that didn't read all three papers = 100 - 75 = 25

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

Answer:

2

Step-by-step explanation:

First, you have to find the change in the sides you know the numbers of. 21/3 is 7, so it's being increased/decreased by 7 units. Now, just divide 14 by 7 to get your answer (2).

Hope this helps!

Answer:

A movie costs $4.25 and a video game $5.5.

Step-by-step explanation:

Step 1: Form the equations.

Let m be the price of a movie and v the price of the video game.

First equation: One month Jessica rented 4 movies and 8 video games for a total of $61.

[tex]4m + 8v = 61[/tex]

Second equation: The next month she rented 2 movies and 3 video games for a total of $25.

[tex]2m + 3v = 25[/tex]

Step 2: Solve the system of equations.

[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 2m + 3v = 25[/tex]

I'm going to solve them by elimination. I'll multiply the second equation with two so I get 4m.

[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 4m + 6v = 50[/tex]

Now I'm going to subtract the second equation from the first.

[tex](4m + 8v) - (4m + 6v) = 61 - 50[/tex]

And solve.

[tex]8v- 6v = 61 - 50\\2v = 11\\v = \frac{11}{2}\\v = \$5.5[/tex]

Now let's insert v back in second equation to get m (nicer numbers, you can insert in first too if you want).

[tex]4m + 8v = 61\\4m + 8(5.5) = 61\\4m + 44 = 61\\4m = 61 - 44\\4m = 17\\m = \frac{17}{4}\\m = \$4.25[/tex]

Answer:

(10,7)

Step-by-step explanation:

4x -3y = 19

2x-3y = -1 <======= multiply this equation by - 2

-4x + 6y = 2 <======= now add this to the top equation

3y = 21 <===== y = 7

use this value in one of the equations to find x = 10

(49.5 - 27) / 5 = x

hope this helps

Answer:

[tex]\Large\boxed{\sf{y > 32}}[/tex]

Step-by-step explanation:

To get the final answer, isolate the variable y on one side of the equation.

1/4y≥8

First, multiply by 4 from both sides.

[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]

Solve.

8*4=32

[tex]\boxed{\sf{y\geq 32}}[/tex]

Therefore, the correct answer is D.

I hope this helps, let me know if you have any questions.

Step-by-step explanation:

1: MD = 17.621

VD = 27.41

2:

60 degrees

3: sinC

In 5 days the total rental charge is the same for each store.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

A movie store rents a game machine for $12.50 plus $1.50 per day. The downtown store rents the same machine for $4 per day with no initial fee.

Let x be the days. The two-equation will be formed as:-

Total amount = 1.5x + 12.5

Total amount = 4x

For the same total amount, we will equate the two equations.

1.5x + 12.5 = 4x

12.5 = 4x - 1.5x

12.5 = 2.5x

x = 12.5 / 2.5

x = 5 days

Therefore In 5 days, the total rental charge is the same for each store.

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Answer:

c=__ and a=__

Step-by-step explanation:

767.50=1.25(c)+2.25(a).

366=c+a

normally from here, I would just guess the number of adults and children. It does take a while doing it that way, but maybe you know a quicker way. Hope this helps :)

Answer: y=1/3x+2

Step-by-step explanation:

Answer:

Using the formula, we can find that the surface area is 208 in².

Step-by-step explanation:

To find the surface area (SA) for a rectangular prism, substitute its dimensions into the formula and solve.

Dimensions

Dimensions mean the side lengths of the shape, the height, width and length. We know the dimensions from the question.

Height: h = 6 in

Width: w = 8 in

Length: l = 4 in

Formula

We will need the formula to find the surface area for rectangular prisms. Note that different shapes have a different formula for finding surface area.

[tex]SA= 2(lw + lh + hw)[/tex]

Substitute the dimensions h = 6in, w = 8in and l = 4in into the formula.

[tex]SA= 2((4\ in)(8\ in) + (4\ in)(6\ in) + (6\ in)(8\ in))[/tex]

Remember order of operations (BEDMAS) when solving. Multiply within the brackets first.

[tex]SA= 2(32\ in^{2} + 24\ in^{2} + 48\ in^{2})[/tex] Add within the brackets.

[tex]SA= 2(104\ in^{2})[/tex] Multiply.

[tex]SA= 208\ in^{2}[/tex] Final answer

Tip: The final answer for area will always have squared units.

∴ The surface area (SA) of the rectangular prism with a height of 6 inches, width of 8 inches, and length of 4 inches is 208 squared inches.

PEMDAS simply means.

• Please
• Excuse
• My
• Dear
• Aunt
• Sally

4 + 4(5 + 2^2)

= 4 + 4(5 + 2 * 2)

= 4 + 4(5 + 4)

= 4 + 4(9)

= 4 + 36

= 40

Therefore, the answer should be: 40

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)