All categories

2 years ago

What is the value of x in the diagram below?

Mathematics

1 answer:

AysviL [449]2 years ago

3 0

Answer:

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 20 × (20 + 36) = 20 × 56 = 1120 ( take square root of both sides )

x = $\sqrt{1120}$ = $\sqrt{16(70)}$ = $\sqrt{16}$ × $\sqrt{70}$ = 4 $\sqrt{70}$

You might be interested in

Mr. Simpson tutored for students on Monday nine students on Tuesday 16 students on Wednesday and 21 students on Thursday if you

Svetach [21]

25 pattern is, 7, 5, and then 3. -2 every time

3 0

3 years ago

I just want the equation you don't have to solve.

AlexFokin [52]

The equation to solve this should be x+3x=60

4 0

4 years ago

Help me please, Find a, b, and c.

Mama L [17]

Answer:

a = $6*\sqrt{3}$

b = 12

c = $6\sqrt{2}$

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths $1-1-\sqrt{2}$ .

A 30-60-90 right triangle has side lengths $1 - \sqrt{3} -2$ .

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length $\sqrt{3}$ . Therefore, $a = 6*\sqrt{3}$ .

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to $\sqrt{2}$ . This means $\sqrt{2}$ was multiplied by $12 = \sqrt{2} * \sqrt{72}$ . This means that side c is $\sqrt{72}=6\sqrt{2}$ .

3 0

3 years ago

Read 2 more answers

You are given a circle of radius 6 what is the segment area of an arc that is 60 degrees

mixas84 [53]

Answer:

= 18.857 cm²

Step-by-step explanation:

The area of a segment is given by;

θ/360 × 2πr². where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.

θ = 60, and r = 6

Therefore;

Area = 60/360 × 22/7 × 6²

= 18.857 cm²

3 0

3 years ago

Help me with this please

meriva

Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

6 0

3 years ago

What is the value of x in the diagram below?​

What is the value of x in the diagram below?