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Wewaii [24]
3 years ago
13

Your school is organizing a carnival. You are building a ramp for a game. The surface of the ramp will be 7 feet long with a tot

al rise of 2 feet. Find the angle of elevation of the ramp.
Mathematics
1 answer:
mariarad [96]3 years ago
4 0

Answer:

\theta=16.6^{\circ}

Step-by-step explanation:

Given that,

The surface of the ramp will be 7 feet long with a total rise of 2 feet.

We need to find the angle of elevation of the ramp. We can use trigonometry to find it such that,

\sin\theta=\dfrac{P}{H}

P is perpendicular

H is hypotenuse

Here, P = 2 feet, H = 7 feet

So,

\sin\theta=\dfrac{2}{7}\\\\\theta=16.6^{\circ}

So, the angle of elevation of the ramp is equal to 16.6^{\circ}.

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Loch ness is the largest lake in Scotland.
abruzzese [7]

Answer:

11.020

Step-by-step explanation:

vol of l.supe = k(lochness)

88.21 * 10^10 = k( 7.45 * 10^9)

divide and k =11.020

in fraction = 1642/149

4 0
3 years ago
Hey can anybody help me out with this question please
stich3 [128]
Okay, So We Need To Remember The Formula. 
I = P * R * T
So, We Plug In The Known Values. 
P = 290
R = 3.3%
T = 2 years.
Simplify along the way.
I = 290 * 3.3% * 2
I = 290 * 0.033 * 2
I = 9.57 * 2
I = 19.14
5 0
4 years ago
X+x+y+y+z+z=24
JulijaS [17]

Answer:

b = 7/2

x = 11/2

y = 21/2

z = -4

Step-by-step explanation:

2x + 2y + 2z = 24

x + y + z = 12

b + 2x + y + z = 21

2b + 2y = 28

b + y = 14

3x + y + z = 23

we can start anywhere by transforming these equations in a way that always one variable is excised by others.

so, e.g.

b = 14 - y

14 - y + 2x + y + z = 21

2x + z = 7

z = 7 - 2x

3x + y + 7 - 2x = 23

x + y = 16

16 + z = 12

z = -4

-4 = 7 - 2x

-11 = -2x

11 = 2x

x = 11/2

11/2 + y = 16

y = 16 - 11/2 = 32/2 - 11/2 = 21/2

b = 14 - 21/2 = 28/2 - 21/2 = 7/2

3 0
3 years ago
The area of a certain desert (Desert 1) is nine times the area
Lisa [10]

Answer:

∴ Area of Desert 1 = 9,000,000 square miles

Area of Desert 2 = 1,000,000 square miles

Step-by-step explanation:

let the area of Desert 1 = x

Let the area of desert 2 = y

Given:

x = 9y - - - - - - (1)

x + y = 10,000,000 - - - - -(2)

Replacing the value of x from equation 1 into equation 2:

x + y = 10,000,000

where x = 9y

9y + y = 10,000,000

10y = 10,000,000

y = 10,000,000 ÷ 10

y = 1,000,000 square mile

Next, finding x by putting the value of y into equation 1

x = 9y

where y = 1,000,000

∴ x = 9 × 1,000,000

x = 9,000,000 square miles

∴ Area of Desert 1 (x) = 9,000,000 square miles

Area of Desert 2 (y) = 1,000,000 square miles

5 0
3 years ago
THIS IS VERY SIMPLE BUT I GET CONFUSED SOMETIMES LOL
Bogdan [553]

Answer:

the answer is 24

Step-by-step explanation:

15-(-9)=24

7 0
3 years ago
Read 2 more answers
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