Mr. Ray wanted to measure the height of a light post. He placed a mirror on the ground 32 feet from the light post, then walked backwards until he was able to see the top of the light post. His eyes were 6 feet above the ground and he was 9 feet from the mirror. Using similar triangles, find the height of the light post to the nearest tenth of a foot.

Answer:

186,666,667 Americans know who the vice president is

Step-by-step explanation:

In this question, we are tasked with calculating the number of USA citizens that know who the vice president is.

Now, in this question, we are made to know that the total population is set at 280 million with 2 out of three knowing who the vice president is.

What this means is that a fraction of the population at 2/3 knows who the vice president is

This fraction is equal to; 2/3 * 280,000,000 = 186,666,666.66666666

This is approximately equal to 186,666,667 people

Answer:

About 186.7 million people know who is the president of the United States.

Step-by-step explanation:

The number of US people who know who the vice president is (Mike Pence in 2020):

[tex]x = \frac{2}{3}\cdot (280\times 10^{6}\,people)[/tex]

[tex]x = 186.667\times 10^{6}\,people[/tex]

About 186.7 million people know who is the president of the United States.

Answer:

volume = 31.5w  

Step-by-step explanation:

A rectangular prism is a 3 dimensional figure that have 6 faces that are rectangular in shape. To ascertain the volume of a rectangular prism you need to know the length, width and height. The formula for the volume of a rectangular prism is represented below .

volume of a rectangular prism = LHW

where

L= length

H = height

W = width

volume = LHW

L = 7.5 ft

W = w ft

H = 4.2 ft

The expression for the volume of a rectangular prism with the following value above can be represented below.

volume = 4.2 × 7.5 × w

volume = 31.5w  

Answer: 45 degrees

Step-by-step explanation:

The blades of the fan align at 0, 45, 90, 135, 180, 225, 270 and 315.

If you move the blades 45 degrees the fan's blades will be in the same position as the one before them

Sorry if I didn't explain it well, comment and I'll try to explain better

Answer:

w^2+9w+20

Step-by-step explanation:

Apply the FOIL METHOD: (a + b) (c + d) = ac + ad + bc + bd

a = 5        

b = w        

c = w            

d = 4

= 5w + 5 x 4 + ww + w x 4

= 5w + 5 x 4 + ww + 4w

Simplify 5w + 5 x 4 + ww + 4w:

w^2 + 9w + 20

Answer:

[tex]\frac{-4}{x^5y^13}[/tex]

Step-by-step explanation:

Answer:

Plan Q cost $18.9 and it is less expensive by $0.9

Step-by-step explanation:

Cost of Phone Q=$10+$0.14 per minute

Cost of phone R=$7+$0.17 per minute

Let m=number of minutes

If Anthony talks for 70 minutes

Cost of Q=$10+$0.14(m)

=$10+$0.14(70)

=$10+$9.8

=$19.8

Cost of phone R=$7+$0.17(m)

=$7+$0.17(70)

=$7+$11.9

=$18.9

Plan Q cost $18.9 and it is less expensive by $0.9

Answer:

17 / 8

Step-by-step explanation:

So the cosecant is equal to the hypotenuse ÷ opposite side

Hypotenuse = 17

Opposite side = 8

17 / 8

The measure of the cosecant of the angle B is 17/8.

We can write the relation between cosecant and cosine function as -

cosec(x) = 1/sin(x)

Given is a right angled triangle.

We can write -

cosec(b) = 1/sin(b)

cosec(b) = 1/(p/h)

cosec(b) = (h/p)

cosec(b) = 17/8

Therefore, the measure of the cosecant of the angle B is 17/8.

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Answer:

13 cm

Step-by-step explanation:

Using Pythagorean theorem

5²+12²=c²

25+144=c²

169=c²

In order to get rid of the ² it has to be square rooted

√169=√c²

c = 13

A

Step-by-step explanation:

Answer:

Step By Step Explanation:

Answer:

A) 2x3y + 7y2x − 3x2 − 12y

Answer:  108 cubic inches

Step-by-step explanation:

Hi, to answer this question we have to apple the next formula:

Volume of a rectangular prism (V): base area x height  (deep of the soil)

Replacing with the values given:

V = 36 x 3 =108 cubic inches

Ian should put 108 cubic inches of soil in the flower pot.

The volume of the soil is 108 cubic inches.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1)  / (x 2 - x 1)  = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

Answer:

28 more people to reach 450

Step-by-step explanation:

450/7≈65(the total number of money the need divided by ticket price to see how many total people they need)

37*7=259 (the people they have already gotten times ticket price to find how much more they need)

450-259= 191 (what they need altogether miinus what they already have)

191/7≈28 (how much more money they need divided by ticket price, 28 is more ticket they need to sell)

does this make sense

Answer:

The answer is 13x-7

Step-by-step explanation:

f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.

Answer:Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

Step-by-step explanation:

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

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

The circle has a center located at (2, 5) and passes through the point (10, 3), hence:

[tex]Radius=\sqrt{(3-5)^2+(10-2)^2}=8.25[/tex]

The equation of the circle is:

(x-2)² + (y-5)² = 8.25²

(x - 2)² + (y - 5)² = 68

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

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The value of b is -1

look at the attached picture

Hope it will you

Good luck on your assignment

Look at the attached picture

Hope it will help you

Answer:

a = 4

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 8 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

4 (2 + a) = 24

→ Expand the brackets

8 + 4a = 24

→ Minus 8 from both sides to isolate 4a

4a = 16

→ Divide both sides by 4 to isolate a and therefore find the value of a

a = 4

→ We can substitute a = 4 back into 4 (2 + a) = 24 to see if we have the correct solution, if we end with the same number on both sides then a =4 is correct.

4 (2 + a) = 24

4 (2 + 4) = 24

4 × 6 = 24

24 = 24

So a = 4 is correct

4 (2

Answer: 12

Step-by-step explanation:

Area of trinagle = b * h /2

8*3= 24/2= 12

Answer:

Interior intersections are those intersecitons inside the main figure. For example, the intersection between two chords of a circle, that represents an interior intersection.

Exterior interseciton are those intersections which happens outside the figure, for example, the intersection of two tangent lines of a circle.

Basically, they are similiar, because both type of intersections are formed by the encounter between two lines or segments.

However, they are different, because each type is formed at different parts of the figure, one inside and one outside.

Answer:

green

Step-by-step explanation:

ahahsvs asks d ja ssbsbs d

Answer:

3, there is a positive correlation

Step-by-step explanation:

Answer:

Step-by-step explanation:

sum of angles of a polygon=(n-2)*180

S=(n-2)*180

n=13

S=(13-2)*180

=11*180

=1980°

2.

sum of angles=95+140+120+75+130+115+80

=750

again sum of angles of a heptagon=(7-2)×180

=5×180

=900

so these can,t be angles of heptagon.

3.

external angle of heptagon=360÷10=36

internal angle=180-36=144°

it is a convex polygon.

4.

external angle=360÷9=40°

internal angle=180-40=140°

it is a convex polygon.

5.

external angle=360÷5=72°

internal angle=180-72=108°

it is a convex polygon.

Answer:

45 feet

Step-by-step explanation:

To find the hypotenuse of that triangle, you would have to do 81-28, because that's the portion that snapped. That equals 53.

Then, we can apply the Pythagorean theorem: a^2+28^2=53^2

a^2=2025

a=45

Therefore, 45 feet

I hope this helped! Have a good rest of your day!

Answer:

8 years old

Step-by-step explanation:

Andy = x

Tom = 2x

So..

2x + 4 + x + 4 = 32

3x + 8 = 32

3x = 24

x = 8

Answer:

8 years old

Step-by-step explanation:

If we put Tom's age as x, since Andy is twice as old, Andy's age is 2x. Therefore, since Tom's age + Andy's age in two years is 32,

(x + 4) ← Tom's age in 4 years

(2x + 4) ← Andy's age in 4 years

We can now create an equation:

x+4 + 2x+4 = 32

Combining like terms, x + 2x = 3x, so now we have

3x + 4 + 4 = 32                                

4+4=8, so

3x + 8 = 32

-8          -8

3x = 24

Divide both sides by 3, and you have your answer ;

x = 8

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Answer:

The depth of water at 5:00 is 4.5 ft.

Step-by-step explanation:

Depth of water at 1:30 PM = 2.4 ft

Depth of water at 4:00 PM = 3.9 ft

Change in time = 4 - 1:30 = 2.5 hours

Depth increased in 2.5 hours = 3.9 - 2.4 = 1.5 ft

Now, we are given that the depth of water is increasing linearly, so after 4:00 PM as well, the water depth will keep on increasing with the same rate as that of previous time intervals.

We have to find out the depth at 5:00 PM i.e. we need to find out the increase from 4:00 PM to 5:00 PM (1 hour) and then add it to depth at 4:00 PM.

Depth increased in 2.5 hours = 1.5 ft

Depth increased in 1 hour = 1.5 / 2.5 = 0.6 ft

Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour

[tex]\Rightarrow[/tex] 3.9 + 0.6 = 4.5 ft

Depth increased in 2.5 hours = 1.5 ft

So, The depth of water at 5:00 is 4.5 ft.

The depth of water at 5:00 is 4.5 ft.

Given that,  

Now  

Depth increased in 2.5 hours is

= 3.9 - 2.4

= 1.5 ft

Depth increased in 1 hour = [tex]1.5 \div 2.5[/tex] = 0.6 ft

Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour

= 3.9 + 0.6

= 4.5 ft

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Answer:

Cylinder Q has a greater volume

Step-by-step explanation:

For this question we need to utilise the volume of a cylinder which is

→ Volume of a cylinder = π × r² × h

Let's substitute in the values and then do the analysis

Cylinder P

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 4.25² × 14

⇒ Simplify

→ Volume of a cylinder = 794.430242277

The volume of cylinder P is 794.430242277

-------------------------------------------------------------------------------------------------------

Cylinder Q

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 7² × 8.5

⇒ Simplify

→ Volume of a cylinder = 1308.47334022

The volume of cylinder Q is 1308.47334022

-------------------------------------------------------------------------------------------------------

We can see that cylinder Q has a greater volume

Answer:

i dont get it

Step-by-step explanation:

Answer:

Step-by-step explanation:

%of water=70%(100-30)

percent to be attained=86%(100-14)

difference in %=86-70%

=16%

literes of water=16%of 125l=20literes

hope this helps

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Answer:

7

Step-by-step explanation:

The mean is the average of the numbers. Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

7 + 14 + 7 + 16 + 16 = 60

60 / 5 = 12

Answer:

Step-by-step explanation:

a^3=19.683

a^3=2.7^3

length of each side=2.7 cm

Answer:

2.7 meters long

Step-by-step explanation:

Volume of a Cube is: [tex]V=a^3[/tex]

Where 'a' is the side length.

Each side of the box would be the cube root of the total volume in this case,

[tex]V=19.683\\\sqrt[3]{19.683}\\{a=2.7}[/tex]

The length of each side should be 2.7 meters long.