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4 years ago

Combine like terms. 8y – 4z + 3y + 5z = 11y + [? ]z

Mathematics

1 answer:

RoseWind [281]4 years ago

8 0

Answer:

= 11y + 1z

Step-by-step explanation:

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Find all the missing dimensions when a=9, b=13, c=64°

DerKrebs [107]

Answer:

Part 1) $c=12.14\ units$

Part 2) $m\angle A=41.78^o$

Part 3) $m\angle B=74.22^o$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^2=a^2+b^2-2(a)(b)cos(C)$

we have

$a=9\ units\\b=13\ units\\C=64^o$

substitute

$c^2=9^2+13^2-2(9)(13)cos(64^o)$

$c^2=81+169-234cos(64^o)$

$c^2=250-234cos(64^o)$

$c^2=147.4212$

$c=12.14\ units$

step 2

Find the measure of angle A

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}$

solve for sin(A)

$sin(A)=\frac{sin(64^o)}{12.14}(9)$

$sin(A)=0.6663$

$m\angle A=sin^{-1}(0.6663)=41.78^o$

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$41.78^o+m\angle B+64^o=180^o$

$m\angle B+105.78^o=180^o$

$m\angle B=180^o-105.78^o$

$m\angle B=74.22^o$

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3 years ago

Coffee and bagels equal three dollars . Let x represent the number of customers who order coffee and bagel. How much money will

vladimir1956 [14]

Answer:

r = 3x

Step-by-step explanation:

If Bob's Bagels makes $3 from each order, then their revenue (r) for x orders will be ...

r = 3x

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3 years ago

What is 7/10 in simplest form

Allushta [10]

7/10 in its simplest form is 0.7

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3 years ago

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Find the value of x. 5² x 5 + 5 = 5^5

SCORPION-xisa [38]

Answer:125

Step-by-step explanation:

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1 year ago

Suppose a spider was able to create one thread that would extend from the top-right back corner of a room to the bottom-left fro

NNADVOKAT [17]

Answer:

d^2 = 30^2 + 12^2

e^2 = d^2 + 8^2

e^2 = 30^2 + 12^2 + 8^2

e = √(30^2 + 12^2 + 8^2) = 33.3 ft

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4 years ago

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