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lesya [120]
3 years ago
15

NO LINKS!!! Find the measurement indicated. Round your answer to the nearest tenth.​

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

<u>Solutions given;</u>

<u>Using cosine rule</u>

b²=a²+c²-2*a*c*cos B°

b²=15²+8²-2*15*8*cos39

b²=102.48

b=\sqrt{102.48}

b=10.12

b=10.1

<u>Using sine rule</u>

\frac{sin A}{BC} = \frac{sin B}{AC}  =\frac{sin C}{AB}

\frac{sin 29°}{15}  =\frac{sin C}{8}

<u>Doing criss cross multiplication</u>

Sin C=\frac{sin 29°}{15} ×8

m<C=Sin -¹(0.29)

m<C=14.98

<u>m<C=15°</u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

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Answer:

Step-by-step explanation:

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7 0
3 years ago
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carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can w
zheka24 [161]

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

\frac{5}{\frac{2}{3}}=7.5

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

8 0
3 years ago
Use the quadratic formula to solve the equation to the exact value or round to two decimal places.
lys-0071 [83]
First set everything to 0.
{x}^{2}  + x - 5
Giving you A= 1 , B= 1 and C= -5
Then input everything into the quadratic formula and either solve by hand or use a calculator.
Note exact values are found by hand, decimals are found using a calculator.

6 0
3 years ago
Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan o
Nadya [2.5K]

Susan's monthly payment will be $117.93.

We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.

P=3500

r=30%

t=3

<h3>What is the amortization formula?</h3>

A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}

Where A is the payment,

P= principal,

r =the annual interest rate

t is the number of years.

use the given value in the formula we get

A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }

A=117.9288

A= 117.93

Susan's monthly payment will be $117.93.

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brainly.com/question/25109150

5 0
2 years ago
Andrew has already played 32 minutes on his video game today and wants to play an additional 15 minutes each of x games after sc
artcher [175]

Answer:

y = 15x+32

Step-by-step explanation:

Given

y to be the total minutes Andrew will play video games today

x is the total number of games played after school

If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes

We are told that he has initially spent 32minutes on video games. hence;

Total minutes Andrew used on games y = (15*x)+32

The required equation will be y = 15x+32

7 0
3 years ago
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