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3 years ago

Factor this completely

Mathematics

1 answer:

bezimeni [28]3 years ago

4 0

28n^4 +16n^3 -80n^2

we can factor out a 4n^2

4n^2 (7n^2 +4n - 20)

4n^2 (7n-10) (n+2)

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Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

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

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

5 0

2 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sa

Julli [10]

Answer:

Step-by-step explanation:

Given that IQ mean is 100 and std dev = 12 for normal adults

$Confidence level =90%\\Z critical value = 1.645\\Margin of error = 2\\Margin of error = 1.645* std error =2\\Std error = 1.216$

Std error = $\frac{12}{\sqrt{n} } =1.216$

$n=(\frac{12}{1.216} )^2 =97.38$

i.e. sample size should be atleast 97

The required sample size is 97.

This is reasonable as this is greater than 30

Yes. This number of IQ test scores is a fairly large number.

5 0

3 years ago

The price of a cup of coffee was $2.65 yesterday. Today, the price fell to $2.30 . Find the percentage decrease. Round your answ

Semenov [28]

Percent change = change/original * 100
(2.65 - 2.30)/ 2.65 * 100
.35/2.65 * 100
13.2 % decrease
-13.2% if you need to write is as a negative

7 0

3 years ago

GIVING 100 POINTS

Mekhanik [1.2K]

Answer:

-3x-6<-33 and =3x-65-6

Step-by-step explanation:

8 0

3 years ago

Help me please I only have 5 mins left

Ivahew [28]

Answer:

A.5

B.16

C.11

D.3

E.5

Step-by-step explanation:

6 0

3 years ago