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2 years ago

Rewrite 15+(72+19)using the Associative Law of Addition.

Mathematics

1 answer:

Maru [420]2 years ago

4 0

Answer:

(15+72)+19

Step-by-step explanation:

you get the same answer in the end bc all you have to do is rearrange the parentheses

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3. Find cos(A). Show your work and reduce the ratio if necessary.

anygoal [31]

Answer:

cosA = $\frac{3}{5}$

Step-by-step explanation:

cosA = $\frac{adjacent}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{30}{50}$ = $\frac{3}{5}$

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2 years ago

Order the rational numbers from least to greatest

sladkih [1.3K]

Answer:

-45/7

-7/7

-4/7

0/7

6/7

9/7

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2 years ago

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Jamal is going to borrow $25,000 from his credit union to buy a used car. The APR is 7% and the length of the loan is 5 years. W

DochEvi [55]

his final charge is going to be 7

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3 years ago

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

2 years ago

In a carnival game, you roll 2 dice. if the sum is 6, you receive a $5 payoff. if the sum is 12, you receive a $9 payoff. otherw

Ray Of Light [21]

P(sum = 6) = 5/36 ; P(sum = 12) = 1/36

expected payoff = (5/36)(5) + (1/36)(9) = $0.94

3 0

2 years ago