A person whose eye level is 15 feet above the ground is looking at a building. The angle of elevation to the top of the building is 40° and the angle of depression to the bottom of the building is 15°. What is the height in feet of the building?

Answer:

Point of intersection where the two lines meet is at (3, -2)

Step-by-step explanation:

Answer:

3 - 151 x

Step-by-step explanation:

d/dx(5×3 x - 10×15 x - 3 x - 10 x - (3 x - 3)) = -151

Indefinite integral:

integral(3 - 151 x) dx = 3 x - 75.5 x^2 + constant

Definite integral after subtraction of diverging parts:

integral_0^∞ ((3 - 151 x) - (3 - 151 x)) dx = 0

Answer:

x = minutes of Tori's podcast = 88 minutes

y = minutes of Wendy's podcast = 129 minutes

Step-by-step explanation:

Let

x = minutes of Tori's podcast

y = minutes of Wendy's podcast

40x + 16y = 5,584 (1)

27x + 11y = 3,795 (2)

Multiply (1) by 11 and (2) by 16

440x + 176y = 61,424 (3)

432x + 176y = 60,720 (4)

Subtract (4) from (3) to eliminate y

440x - 432x = 61,424 - 60,720

8x = 704

x = 704/8

x = 88

Substitute x = 88 into (1)

40x + 16y = 5,584 (1)

40(88) + 16y = 5,584

3,520 + 16y = 5,584

16y = 5,584 - 3,520

16y = 2,064

y = 2,064/16

y = 129

x = minutes of Tori's podcast = 88 minutes

y = minutes of Wendy's podcast = 129 minutes

Answer:

4 mph

Step-by-step explanation:

Let :

Boat speed = 20 mph

speed of current = x mph

Distance against current = 2 miles

Distance with current = 3 miles

speed against current will be ; 20 - x

speed with current will be ; 20 + x

Time =distance / speed against time against = time with current

Solving Mathematically ;

2/(20-x )=3/(20 +x)

2(20+x )= 3( 20-x )

40+2x = 60-3x

3x +2x=20

5x=20

x = 20 / 5

x = 4 mph

Speed of current = 4 mph

Answer:

63

Step-by-step explanation:

If you put them from least to greatest order you cross out from both ends until you get to the middle, in that case I got to the middle in between 63 and 63 so you can go in between them so your answer is 63

Answer: 5√2

Step-by-step explanation:√50--->√2*√25

√25--->5

5*√2=5√2

Answer:

108,000,934

1.08934×10^8

Step-by-step explanation:

(302)^3

(a+b)^3

(a+b)^3==a^3+3a^2b+3ab^2+b^3

(300+2)

(300)^3+3(300^2+2)+3(300+2^2)+2^3

27,000,000+81,000,002+8+924

108,000,002+8+924

108,000,934 or 1.08934×10^8

Answer:

3 as well lol?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Surface area = 148cm^2

Volume = 120cm^2

Step-by-step explanation:

You are smart don't say you're not. :)

Answer:

Surface Area is 148 cm^2

Your Volume will be 120 cm ^3

Step-by-step explanation:

Surface Area you get by getting the area of each of the 2 dimensional shapes, the formula to get the surface area for a rectangualr prism is 2(wl+hl+hw), so you would plug in 2((5(6))+((4(6))+(4(5)) which will give you 2((30)+(24)+(20)) which will then give you 2(74) and the final answer will be 148 cm^2

The formula for Surface Area is w(l)(h) so in this case it will be 5(6)(4) which will be 30(4)= 120 cm^3

Hope this helps  

Answer:

A. 9

Step-by-step explanation:

Triangle Inequality:  the lengths of any two sides of a triangle add up to more than the third side.

B. 10 can't be the answer because the 4 cm and 6 cm sides would just meet at a point on the 10 cm sides.

C. 11 and D. 12 can't be answers because the 4 cm and 6 cm sides would not meet (kind of like windshield wipers that are too short).

Answer: 500

Step-by-step explanation:

let we suppose x people went to the fair on Sunday.

now number of people attend the fair on monday=x-15%of x.

x-15x/100=100x-15x/100

85x/100

A/q

85x/100=425

85x=42500

x=42500/85

500

so, 500 people. attended the fair on sunday

Answer:

3x=60+15

x=75/3

x=25

Thus the answer is 25

Answer:

[tex]3x - 15 = 60 \\ 3x = 60 + 15 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

Step-by-step explanation:

Here's a primer on how the dimensions play out at every level, from high school football to the NCAA and on up to the NFL. There are two constants, across the level of competition: 120 yards (360 feet) of length and 53 1/3 yards (160 feet) of width.

i think this is what your looking for?!

Answer and Step-by-step explanation:

This is the same thing as:

4.2 - (12 + x)

The 4.2 is being subtracted by the value of 12 and a number, denoted as x.

#teamtrees #PAW (Plant And Water)

Answer:

no

Step-by-step explanation:

9x12=108

108 square feet so not enough paint.

needs more paint that covers 4 square feet

Answer:

222! thats your answer!

Step-by-step explanation:

Answer: x - 16

Step-by-step explanation:

Since there were x cupcakes at the beginning of a party and at the end of the party, 16 of them had been eaten, the expression for the number of cupcakes that were left will be gotten by subtracting the number of cupcake that have been eaten from the cupcakes at the beginning. This will be:

= x - 16

For example, if there were 20 cupcakes at the beginning and 16 was eaten, the number left will be:

= x - 16

= 20 - 16.

= 4

There'll be 4 left

Answer:

33°

Step-by-step explanation:

have a nice day!! :)

Answer:

A

Step-by-step explanation:

according to tangent property

we get

Given that

Thus our equation is

[tex] \rm \displaystyle 2AM + 2AN + 2BK = 34[/tex]

substitute the given values

[tex] \rm \displaystyle 2.6+ 2AN+ 2.4 = 34[/tex]

simplify multiplication:

[tex] \rm \displaystyle 12+ 2AN+ 8 = 34[/tex]

simplify addition:

[tex] \rm \displaystyle 2AN+ 20= 34[/tex]

cancel 20 from both sides:

[tex] \rm \displaystyle 2AN=14[/tex]

divide both sides by 2:

[tex] \rm \displaystyle AN=7[/tex]

AN=CN

hence,CN=7

therefore our answer is A

Answer:

30 in²

Step-by-step explanation:

A=(b1+b2)h/2

A=(10+5)4/2

A=(15)4/2

A=60/2

A=30 in²

Answer:

Hello! I believe its 30

Triangle to the left I did 4 x 3 = 12 ÷ 2 =6

Triangle to the right I did 2 x 4 = 8 ÷ 2 = 4

Then I did square in the middle so 5 x 4 = 20

Now i add these up 20 + 6 + 4 = 30

Hope this helps!

Answer:

4.5 > 4.420

0.67 < 0.8

0.82 = 0.820

62.4 > 6.24

0.13, 0.3, 0.303, 0.32

0.08, 0.8, 0.82, 8.2

24.54, 24.4, 24.304, 24.24

6.5, 6.25, 6.05, 6.007

Step-by-step explanation:

The most useful way to compare fractions is to add extra zeros at the end.

For example, 0.67 ___ 0.80.

0.80 is obviously bigger than 0.67.

In 24.4, 24.54, 24.304, 24.24, you can add extra zeros as well.

24.400, 24.540, 24.304, 24.240 (This makes it much easier to group the numbers, whether from largest to smallest or smallest to larger).

**REMEMBER TO REMOVE THOSE ZEROS AFTER FINDING YOUR FINAL ANSWER**

Answer:

a good student someone that pays attention in class and studies. If they do the work, study and pay attention there should be no issues. most teachers like students like that and the should be able to pass the class.

Answer:

$21.75

Step-by-step explanation:

Divide $7.25 by 4 then multiply what you get from that by 12

11 × 11 × 11 × 11 × 11 × y × y × y = 11⁵y³

Or, if you meant

11 × 11 × 11 × 11 × 11 × y X y X y = 11⁵X²y³

Answer:

answers are a d and b

Step-by-step explanation:

It says use the substitution method, so you would take the bottom equation, and since it says that x is equal to that, you would use that equation in place of the x in the top equation. so it would be 9y = 3(3y+3) - 9. You then distribute the 3 into the 3y +3, which gets you 9y = 9y + 9 - 9, which is also 9y=9y. Subtract 9y to get 0 = 0, which just means that there are infinite solutions to this equation. Whenever you get 0 = 0, all that means is that there are infinite solutions to this particular set of equations. Hope this helped!

Answer:

y=y

x=3y+3

Step-by-step explanation:

[tex]\left \{ {{9y=3x-9} \atop {x=3y+3}} \right.[/tex]

[tex]9y=3x-9[/tex]

Plug the second equation [tex]x=3y+3[/tex] into the above equation as x

[tex]9y=3(3y+3)-9[/tex]

Open up the brackets

[tex]9y=3(3y+3)-9\\9y=9y+9-9\\9y=9y\\y=y[/tex]

This system of equations has infinitely many solutions.

When graphed, the two lines will overlap each other.

Therefore, y=y and x=3y+3.

I hope this helps!

Answer:

5

Step-by-step explanation: