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Answer: 1. x= 20 units,   2. x= [tex]5\sqrt{3}[/tex] units    3. x= [tex]4\sqrt{2}[/tex] units.

Step-by-step explanation:

In a right triangle,

[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex]  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]

Answer:

3

Step-by-step explanation:

84/28=3

Answer:

Quick

Step-by-step explanation:

Answer:

40 days

Step-by-step explanation:

This is a least common multiple problem. To do this, you need to find the number where it's a multiple of both.

Multiples of 8 are: 8, 16, 24, 32, 40...

Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40.

Both have the number 40.

Answer:

Tangent to a circle

Step-by-step explanation:

Sorry but I can't draw on this but if you draw it out then the question should become clearer.

Answer: 2261.9 ft

Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report  sig fig, so that's 2000 ft.

The total distance traveled by the seated person is 2260.8 feet.

Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.

The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.

One revolution = [tex]2\pi r[/tex]

One revolution = [tex]2 \times 3.14\times 90[/tex]

One revolution = 565.2 feet

Hence the distance covered in four revolutions can be calculated as below.

Total Distance = [tex]4 \times 565.2[/tex]

Total Distance = 2260.8 feet

Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.

To know more about the distance, follow the link given below.

https://brainly.com/question/1214027.

Answer: A

Step-by-step explanation:

The equation p = 2.5g shows the price of gas at Bob's Gas Station.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

   Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.

   Quadratic Equation:This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

  Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.

   Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.

the equation of price of gas at Phil's station is:

for p = 2.7g +0.25g

p(5) = 2.7*5+0.25*5

= 14.75 (which is not true)

hence,

p = 2.5g + 0.25*g

p(5) = 2.5*5 + 0.25*5

p(5) = 13.75

hence equation of price of gas at Bob's station is:

p = 2.5g

To know more about equation please visit:

brainly.com/question/10413253

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Answer:

Answer:

The domain is;

{-4,-9,-4,8}

The range is

{2,-5,12,-8}

Step-by-step explanation:

The domain refers to the values of the function on the x-axis while the range refers to the values of the function on the y-axis

The domain is thus;

{-4,-9,-4,8}

The range is;

{2,-5,12,-8}

Answer:

Answer choice A (<A,<B,<C)

Step-by-step explanation:

I have attached a rough drawing of this type of triangle (not to scale)

The longest side of the triangle is always the side opposite of the largest angle. Since side AB is the longest, we know that angle C is the largest angle.

This is also true for the smaller angle. The smallest angle is always opposite the shortest side. The shortest side is side BC. The angle opposite this side is angle A, meaning angle A is the smallest.

Hope this helps :-)

Answer:

She need [tex]\frac{1}{4}[/tex] cups of corn.

Step-by-step explanation:

Libby needs to make [tex]\frac{1}{2}[/tex] of her chilli recipe for the school's chilli contest. If Libby usually need [tex]\frac{1}{2}[/tex] cup of corn for her recipe.

She make half of her recipe

So, we can set up equation for unknown corn she need for the chilli contest as 'x' cups

[tex]\frac{1}{0.5} =\frac{0.5}{x}[/tex]

Cross multiply

x=0.25

To make it as a fraction, she need [tex]\frac{1}{4}[/tex] cups of corn.

Answer:

yep 1/4

Step-by-step explanation:

Answer:

it depends. If you are driving really fast then hit it. Your life matters more than the animal. But if you are driving slow, then try to stop as long as there isn't anyone behind you.

Step-by-step explanation:

NEVER SWERVE OFF THE ROAD

Answer: Grab a towel or a piece of clothing and wrap it around the animal to protect it from harmful virus’s and diseases we might transmit to them. Then walk 30 feet away from the road and carefully place the animal on flat ground.

Step-by-step explanation: Hope this helps! Btw, I found this from an instructional video I found. So I don’t take any credit. ;)

Answer:

Answer:

x = 98

Step-by-step explanation:

no

the table does not represent a proportional relationship.

Answer:

2261.54 cubic cm.

Step-by-step explanation:

So 1 cm is equal to .52 cubic cm. So if we take 1176 and divide it by .52 we get 2261.538462. Which is a crazy number, so we round. So 1176 cm = 2261.54 cubic cm. I'm pretty sure that this is correct, good luck! ;)

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

===================

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

Answer:

x = 3

m<PAW = 1

Step-by-step explanation:

☆They are supplementary angles.

☆Supplementary angles equal 180 degrees.

[tex] - 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]

☆Plug in for m<AEZ

[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]

☆m<PAW is corresponding to m<AEZ

☆Corresponding angles are congruent.

☆m<PAW equals 1.

Answer:

10 feet

Step-by-step explanation:

Use the volume formula, V = lwh, to solve for w

Plug in the values we know:

V = lwh

250 = (5)(w)(5)

250 = 25w

10 = w

So, the width is 10 feet

Answer:

The maximum possible is 20 intersections.

Step-by-step explanation:

Answer:

Slope/m=3, y-intercept=5

Step-by-step explination

2y-6x=10

Factor out the common term of two

2y/2-6x/2=10/2      /=dividing

y-3x=5

Add 3x to both sides

y-3x+3x=5+3x

Simplify

y=5+3x

To get the slope-intercept form (y=mx+b)

y=3x+5      

Answer:

On the map below, 14 inch represents one mile. Candler, Canton, and Oteen are three cities on the map.

Map_problem_figure_aff1d9be1f7b39bb6155b3bcf9b3ddd4

If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?

If Candler and Oteen are 312 inches apart on the map, what is the actual distance between Candler and Oteen in miles?

Commentary

The purpose of this task is for students to translate between information provided on a map that is drawn to scale and the distance between two cities represented on the map. This task is a very straightforward application of the mathematics described in 7.G.A.1. This task would be appropriate for assessment.

Solutions

Solution: 1

A distance of nine miles means 9 quarter inches on the map. This is

9×14=94

or 214 inches between Candler and Canton on the map.

Map_problem_a_425ac563f0de413ec7618e8fe79c1b90

How many 14 inches are in 312 inches? To find this, we divide:

312÷14=72×41=14

So it is 14 miles between Chandler and Oteen.

Step-by-step explanation:

Answer:

725/100 X 15 = 108.75

108.75 + 80 = 188.75

weekend = $188.75

Answer:

D. a rectangle

Step-by-step explanation:

Answer:

on the 30th day

Answer:

The answer is option A

A) Circumference= 12[tex]\pi[/tex] m

Step-by-step explanation:

To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r

if the radius is 6 meters, C is

C = 2*6 [tex]\pi[/tex]r

C= 12[tex]\pi[/tex] m

Answer:

22500

Step-by-step explanation:

150 x 150 will be 22500