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nataly862011 [7]
3 years ago
5

Find the value of the length a x rounded to 1 DP. The diagram is not drawn accurately

Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

x ≈ 3.7 m

Step-by-step explanation:

Use the right triangle on the left to find the height h , using the sine ratio

sin39° = \frac{opposite}{hypotenuse} = \frac{h}{7} ( multiply both sides by 7 )

7 × sin39° = h , then

h = 4.4

Using the tangent ration on the right side right triangle, then

tan50° = \frac{opposite}{adjacent} = \frac{h}{x} = \frac{4.4}{x} ( multiply both sides by x )

x × tan50° = 4.4 ( divide both sides by tan50° )

x = \frac{4.4}{tan50} ≈ 3.7 m ( to 1 dec. place )

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For questions 10-11 if l || m, find the values of x and y.
klemol [59]

Answer:

10) 9x - 2° = 5x + 54° (corresponding angles are equal)

9x - 5x = 54 + 2

4x = 56

x = 56/4

x = 14°

10y + 6° = 9x - 2° (linear pair)

10y + 6° = 9(14)° - 2°

10y + 6° = 126° - 2°

10y + 6° = 124°

10y = 124° - 6°

10y = 118

y = 118/10

Sorry, i don't know how to do the 11th question

but hope this helps you!

8 0
3 years ago
John's dog Fido is tied to a post in his backyard. Fido's leash is 8.5 feet long. Determine how much circular roaming area Fido
ira [324]

Answer:

227 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the roaming area that Fido has

Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash

Mathematically, the area would be

A = π * r^2

A = 3.14 * 8.5^2

A = 226.865 ft^2

To the nearest square foot, this is 227 ft^2

3 0
4 years ago
What is 12.5% of 10 kg in grams​
Anastasy [175]

Answer:

1250 g

Step-by-step explanation:

12.5% of 10 kg

12.5% of 10000 g

.125 of 10000 g

.125 * 10000 g

1250 g

6 0
3 years ago
Read 2 more answers
The table shows how an elevator 500 feet above the ground is descending at a steady rate.
lapo4ka [179]

Answer:

h(t) = -5t + 500

Step-by-step explanation:

At time zero, the elevator is at 500 ft.

At time 5 seconds, the elevator is at 475 ft.

The difference in height is -25 ft.

The elevator traveled -25 ft (25 ft down) in 5 seconds, so it travels at a speed of 5 ft per second. Since it is traveling down, its speed is -5 ft/sec.

For each second of travel, it loses 5 ft of height.

h(t) = -5t + 500

7 0
2 years ago
Given the function h(x)= 5x-8, find the value of r such that h(3-r) = 6r
Keith_Richards [23]

the answer is r= 3h/h+6

4 0
3 years ago
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