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3 years ago

In Δ ABC, the sum of the measures of ∠A and ∠B is 47°. what is the measure of ∠C?

1 answer:

8 0

To determine the measure of angle C. You would solve the equation for X. X+47=180. X= 180-47. X= 133. The measure of angle C is 133 degrees.

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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

Arrange the digits 1-9 in the 9 boxes to make three equivalent fractions,all equal to 1/2

ElenaW [278]

I'm confused because there are no boxes, but maybe 2/4 3/6 5/10

4 0

3 years ago

What is the value of x?

OlgaM077 [116]

Answer:

I honestly have no clue.

Step-by-step explanation:

I honestly have no clue.

6 0

2 years ago

Find the square root of 196 with process.

blsea [12.9K]

Answer:

The square root of 196 is 14

Step-by-step explanation:

Prime factorization of 196:

2² × 7²

Prime factors of 196 in pairs:

(2 × 2) × (7 × 7)

Now square root of 196:

√196 = √(2 × 2) × (7 × 7)
√196 = √(2 × 7)²
√196 = (2 × 7)
= 14

Thus, The square root of 196 is 14

<u>-TheUnknownScientist</u><u> 72</u>

3 0

3 years ago

Read 2 more answers

a satellite's escape velocity is 6.5 mi/sec, the radius of the earth is 3960 mi, and the earth's gravitational constant is 32.2

Artyom0805 [142]

Answer:

$23.89x10^{6}$ ft

Step-by-step explanation:

$\frac{V^{2} }{R^{2} } = \frac{2g}{R+h} \\$ This is the formula to find satellite's escape velocity V , where R is earth's radius, h is the satellite's height from the earth surface and g is the earth's gravitational constant.

$R^{2}(R+h) \frac{V^{2} }{R^{2} } =R^{2} (R+h)\frac{2g}{R+h}$ (Multiplying to clear the fractions)

(R+h) $V^{2} =R^{2} 2g$

$R+h=\frac{2R^{2}g }{V^{2} }$

$h= \frac{2R^{2} g}{V^{2} } -R$

Now, we can determine height of satellite from the surface of the earth

by putting the values in above equation

$h= \frac{2 * (3960)^{2}*32.2 }{6.5^{2} } -3960\\h= 23.902 x10^{6} - 3960\\ h=23.89x10^{6} ft$

5 0

3 years ago