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GenaCL600 [577]
2 years ago
7

Calculate size of angle x. I worked out CA=14cm

Mathematics
1 answer:
nikdorinn [45]2 years ago
5 0

Answer:

∠x = 13.43°

Step-by-step explanation:

area ΔABC = 1/2 ( BD x AC) = 1/2 (22 x AC) = 42

22 x AC = 84        AC = 84/22 = 42/11 = 3.82

CD = BD - BC = 22 - 6 = 16

AD² = AC² + CD² = (3.82)² + 16² = 270.59

AD = 16.45

sin ∠x = AC / AD = 3.82 / 16.45 = 0.2322

∠x = 13.43°

You might be interested in
The perimeter of a rectangle is 24 m. The length is 30 m less than five times the width. Find the dimensions of the rectangle. L
Len [333]

Answer:

<h2>width = 7 m</h2><h2>length = 5 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

6 0
3 years ago
Find the constant of variation for the relationship f(x)= 30x.
trasher [3.6K]
For a direct variation, f(x) = kx. Therefore, for f(x) = 30x, constant of variation (k) = 30.
3 0
3 years ago
Read 2 more answers
The expression is (10w^3)^2/5w equivalent to
Rasek [7]
The correct answer is:  3)  " <span>20w⁵ </span>" .
__________________________________________
Explanation:
_________________________________________

(10w³)²<span>/ (5w) =

[ 10</span>² * w⁽³*²)<span>  ] /  [5w] =

(100* w</span>⁶) / 5w =

(100/5) * w⁽⁶⁻¹⁾ = 

20 * w⁵ =

20w⁵ ;  which is: Answer choice:  3)  " <span>20w⁵ </span>" .
_____________________________________________________
3 0
3 years ago
!!!HELP WILL GIVE BRAINLIST!!!
Finger [1]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>A. Statistical</em>

▹ Step-by-Step Explanation

Since you are asking about how many acorns squirrels typically eat in a day, you are asking for how many acorns on average. Average can be shown in statistical graphs therefore, making the answer statistically.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

6 0
3 years ago
PLZ HELP ME
Likurg_2 [28]

Answer:

x ≈ 14.87

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 10² + 11² = 100 + 121 = 221 ( take the square root of both sides )

x = \sqrt{221} ≈ 14.87 ( to the nearest hundredth )

8 0
2 years ago
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