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sesenic [268]
3 years ago
7

What is the value of x to the nearest tenth? 2.8 4.2 4.8 6.9

Mathematics
1 answer:
lilavasa [31]3 years ago
6 0
A^2 + b^2 = c^2
a = x
b = 14
c = x+10
x^2 + 14^2 = (x + 10)^2
( x^2 + 196 = x^2 + 20x +100 ) - x^2
( 20x +100 = 196 ) -100
( 20x = 96 ) / 20
x = 4.8
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In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

sin(\angle BDC)=BC/BD

BC=(BD)sin(\angle BDC)

substitute the values

BC=(22)sin(30\°)=11\ cm

6 0
3 years ago
What is the area of the regular hexagon shown?
andreyandreev [35.5K]

Answer:

584.57

Step-by-step explanation:

5 0
3 years ago
For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water
LuckyWell [14K]

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

7 0
3 years ago
Read 2 more answers
Please help me asap.​
KonstantinChe [14]

Answer:

<T

Step-by-step explanation:

You can tell that the angles and length of the triangles are equal from the marks. For example, angle J has 2 lines on its angle so i looked for the other angle with 2 lines on it which happens to be angle S.

Comment if u dont understand

3 0
2 years ago
You and your friend go to tacos Galore for lunch. You order 3 soft tacos and 4 burritos and your bill comes out to $18.00. Your
Korolek [52]

Answer:

Soft Tacos = 2

Burritos= 3

Step-by-step explanation:

You

3 x 2 = 6

18 - 6 = 12

12/4= 3

You spent 6$ on soft tacos and 12$ on burritos.

Your friend

2 x 2 = 4

10-4 = 6

6/2 = 3

Your friend spent 4$ on soft tacos and 6$ on burritos.

I hope I explained this well.

6 0
2 years ago
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