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3 years ago

Simplify. 14+{-2+3 [1 +3(-6 – 2)]}

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

7 0

Answer: -57

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

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Answer:

the measure of angle x is 48

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Which of the following statements contain a variable? Check all that apply.

Roman55 [17]

B
Explanation:

A Variable is a symbol for a number we don't know yet. We don’t know the number of colors on the page.

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2 years ago

The “pay upfront” car rental company charges an insurance and gas fee of $33 and daily rental fee of $8 per day. The “drive now

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Answer:

The x variable represents the number of days or the daily rental fee.

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3 years ago

Shawn purchased $87.06 worth of merchandise at a department store. He gave the clerk $100. Round to the nearest whole dollar to

beks73 [17]

Answer:

rounded purchase: $87
estimated change: $13

Step-by-step explanation:

Rounded to the nearest dollar, the value $87.06 is $87.

This amount subtracted from $100 is the change Shawn will receive, about $13.

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