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2 years ago

A person is driving a car on a straight road. The graph shows the distance y in

Mathematics

1 answer:

aleksandrvk [35]2 years ago

5 0

Answer:

Step-by-step explanation:

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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

$BC=(22)sin(30\°)=11\ cm$

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3 years ago

Graph the following linear function.<br> f(x) = 1/6x+3

Black_prince [1.1K]

Y-axis is 3
x-axis is -18

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2 years ago

Which expression is equivalent to 3/2*3/2*3/2*3/2

lesantik [10]

Answer:

hello :

(3/2)×(3/2)×(3/2)×(3/2) = (3/2)^4

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3 years ago

Is my work correct here I'm supposed to find the first four terms using the recursion formula?

inessss [21]

Answer:

<u>yes your formula is correct </u>

Step-by-step explanation:

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Why did Marie Antoinette need to marry the French family?

timama [110]

Their common desire to destroy the ambitions of Prussia and Great Britain and to secure a definitive peace between their respective countries led them to seal their alliance with a marriage

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2 years ago