Which of the following correctly uses the Pythagorean Theorem to find the missing side ?

A. 8² + (10)² = 2²
B. X + 8=10
C. x² +8² = (10)²
D. x² + (10)² = 8²

Answer:

d=6 & p=13

Step-by-step explanation:

1. P+d=19

×9

2. 9p +5.50d=150

×1

9p+9d=171

-

9p +5.50d=150

3.5d=21

d=6

Substituting d=6 in 1.

P+6=19

P=13

Answer:

y=-2x

Step-by-step explanation:

should look like a straight line, that is going up to the left. crossing (0,0) and (1,-2)

Answer:

here we go

Step-by-step explanation:

Stirring a cup of hot tea causes a metal spoon to get warm. Which statement best explains why the spoon gets warm? Heat energy transfers from the hot tea to the spoon.

Answer:

Step-by-step explanation:

Answer:

Angle 2 = 150°

Step-by-step explanation:

▪︎ Measures of supplementary angles add up to 180°.

Therefore,

Angle 1 + Angle 2 = 180°

Angle 1 = 30°

30° + Angle 2 = 180°

Angle 2 = 180° - 30° = 150°

Answer:

[tex]x \approx 9.823\ ft[/tex]

Step-by-step explanation:

Remember that the area of a sector is defined as:

[tex]A = \frac{\theta}{360^\circ}\times \pi r^2[/tex]

In this problem, we are given the area [tex]A[/tex], and the angle [tex]\theta[/tex]. We can set up an equation to solve for the radius, which is x:

[tex]A = \frac{\theta}{360^\circ}\times \pi r^2\\128 = \frac{152}{360}\times \pi r^2\\128 \times \frac{360}{152} = \pi r^2\\\frac{5760}{19} = \pi r^2\\r = \sqrt{\frac{5760}{19 \pi}}\\r \approx 9.823[/tex]

Answer:

r ≈ 9.8 feet

Step-by-step explanation:

Formula of A Sector

Substitute the given values in the formula to find r.

5 (12 + x)

Step-by-step explanation:

Answer:

5(12+X)

Step-by-step explanation:

Answer:

62, since positive doesn't change to negative.

The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.

The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches

The side length of the cube = 4 inches

Because diameter of the sphere is 4 inches and all sided touch to the cube face.

Volume of the cube = 4³ = 64

The volume of the empty space = 64- 33.51 = 30.49 cubic inches

Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.

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Top company would accept the order as it increases the total profit of the corporation by $90000

As a company as a whole, Tops corporation will accept orders if the contribution margin increases by accepting orders.

a. The contribution margin will be:

= sales price - variable cost of manufacturing department - variable cost of marketing department

= $400 - [$2400*1000/10000units] - $70

= $400 - $240 - $70

= $90

Therefore, the increase in profit will be:

= $90 × 1000

= $90000

Top company would accept the order.

b. The marketing department will accept the order as it increases its profit by $400000-$370000 = 30000.

c. The manufacturing division manager would accept the order as it increases its profit by $60000. This was gotten as:

= (300 × 1000) - (240 × 1000)

= 300000 - 240000

= 60000

The other parts of the question include:

The company has just received an offer to buy 1,000 units of the product this month at a price of $400 per unit. The Marketing Division manager suggests that for the special order only, the transfer price be set at 50 percent of the sales price, or $200 per unit. Instead, assume the transfer price is unchanged from the current transfer price.

Required:

a. Does Tops Corporation want to accept this order?

b. Will the Marketing Division manager be willing to accept this order?

c. Will the Manufacturing Division manager be willing to accept this order?

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Answer:

BC = 17 - x

Step-by-step explanation:

Let AC be the line segment and B be some point on it,

AB + BC = AC

( 2x - 8 ) + BC = x + 9   ...............(1)

BC = x + 9 - ( 2x - 8 )
BC = 17 - x

Answer:

The rule is increase by 5. That means the next term would be 26.

Answer:

Medical Insurance

Step-by-step explanation:

Answer:

Medical Insurance

Step-by-step explanation:

serious car accident and broke both wrists.

Answer:

240cm³

Step-by-step explanation:

To find our answer we will multiply the volume, width, and height.

4 · 20 · 3 = 240.  Therefore, 240cm³ is our answer.  

Have a good day!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate its volume ~

Volume of a rectangular prism is :

[tex]\qquad \sf  \dashrightarrow \:v = l \cdot w\cdot h[/tex]

[tex]\qquad \sf  \dashrightarrow \:v = 20 \cdot 4\cdot 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:v = 240 \: \: cm {}^{3} [/tex]

Answer:

Step-by-step explanation:

8²p=8^4

64p=4096

p=64

p could also equal 2

8^2x2=8^4

Answer: P = ^2

Step-by-step explanation:

8^4= 4096

8^2= 64

4096/64=64

(8^2)^2= 8^4

4096 = 4096

I'm good how's life!

Answer:

14.

Step-by-step explanation:

42 = 2 8 3 * 7

Largest prime factor = 7

28 = 2 * 2 * 7

Smallest prime factor = 2

Answer = 2*7 = 14.

Probability of paYing in credit card

P(Not paying in credit card)

The probability that the next customer will pay with something other than a credit card is 0.87.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that Layla owns a small business selling clothing. She knows that in the last week, 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card.

Based on these results we have;

Total cards=52+20+11=83

Probability of paying in credit card;

11/83

0.13

Now, P(Not paying in credit card)

1-0.13

0.87

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Answer:

By multiplying -2 by 5 you get:

Step-by-step explanation:

- 10

Answer:

no solution

Step-by-step explanation:

6x + 33 = 6x + 36

33 ≠ 36

Answer:

no solutions

Step-by-step explanation:

6x + 33 = 6(x + 6) ← distribute parenthesis

6x + 33 = 6x + 36 ( subtract 33 from both sides )

6x = 6x + 3 ( subtract 6x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

]

The circumference of the circle with a radius of 49mm is 308mm

The circumference of the circle is also known as its perimeter. The formula is expressed as:

C = 2pi r

r is the radius = 49mm

pi = 22/7

Substitute

C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm

Hence the circumference of the circle with a radius of 49mm is 308mm

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Answer:

B

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Percent means per hundred. Change to "per hundred"

3/5 = 6/10 = 60/100

3/5 is 60%

OR

Divide 3/5 means 3÷5...

3÷5 = .6

Change decimal to percent by multiplying by 100.

.6 × 100 = 60

60%

Answer:

60%

Step-by-step explanation:

well if they only finished 3/5 it’s going to be

60/100 = 60%

The slope within two sets of points is calculated using the slope equation [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Hence, the equation of two sets of points is [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

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The unicycle would move 2.512 meters if the wheel turns once

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

An equation is an expression that shows the relationship between two or more numbers and variables.

a) The circumference of the wheel = π * diameter = 3.14 * 80 cm = 251.2 cm = 2.512 m

The unicycle would move 2.512 meters if the wheel turns once

b) For a 100m race:

Number of wheel rotation = 100 m / 2.512 m = 39.8

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

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Answer:

15%

Step-by-step explanation:

see the picture for explanation

Answer:

28%.

Step-by-step explanation:

That would be 100 * 7/25

= (100/25) * 7

= 4*7

= 28.

Answer:

  62, 63, 64

Step-by-step explanation:

The middle integer of three consecutive integers will be the average of them. That is, it will be their sum, divided by 3.

__

The middle integer is 189/3 = 63.

The three consecutive integers are 62, 63, 64.

_____

Additional comment

If you'd like to write an equation that tells you the same thing, let x represent the middle integer. Then the lower one is x-1, and the upper one is x+1. Their sum is ...

  (x-1) +x +(x+1) = 189

  3x = 189 . . . . . . . . . . . . simplify

  x = 189/3 = 63 . . . . . . . divide by the coefficient of x

  (x-1) = 63-1 = 62 . . . . . . find the other two integers

  (x+1) = 63+1 = 64

Answer:

Expression D has the least value

The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A computer generates 50 integers from 1 to 8 at random.

Total number of outcomes = 5+8+9+7+4+6+5+6  = 50

Computer generating a 2 = 8

Computer generating a 4 = 7

P(computer generating a 2) = 8/50

P(computer generating a 4) = 7/50

P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or

= 0.3×100

= 30%

Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

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Answer:

-6, -6

Step-by-step explanation:

Given :

Solving :

The zeros are : -6, -6