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den301095 [7]
4 years ago
10

Temperatures in °F can be converted in °C

Mathematics
2 answers:
melisa1 [442]4 years ago
5 0

Answer:

F=\frac{9C+160}{5}

Step-by-step explanation:

C=\frac{5(F-32)}{9}

Multiply both sides with 9.

9C=5(F-32)

Use distributive property.

9C=5F-160

Add 160 to both sides.

9C+160=5F

Divide 5 to both sides.

\frac{9C+160}{5}=F

antoniya [11.8K]4 years ago
4 0

Answer:

\frac{9c + 160}{5}

Step-by-step explanation:

C = 5(F - 32)/9

so we do a little algebra here

9C = 5F - 160

we move both side

5F - 160 = 9C

5F = 9C + 160

so in the end

F =

\frac{9c + 160}{5}

a = 9

b = 160

c = 5

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On the number line below, Point B lies somewhere between Points A and C. If AB = \frac{1}{3} AC. Find BC. a 16 b 0 c 8 d 24
ollegr [7]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the number line is not attached.

<em>However, the following will guide you through</em>

Given

AB = \frac{1}{3}AC

Required

Determine BC

First, we need to get the fraction of BC using the following

AB + BC = AC

Substitute \frac{1}{3}AC for AB

\frac{1}{3}AC + BC = AC

Make BC the subject of formula

BC = AC - \frac{1}{3}AC

Take LCM

BC =  \frac{3AC - AC}{3}

BC =  \frac{2AC}{3}

BC =  \frac{2}{3}AC

This implies that you multiply the length of AC by 2/3 to get BC

<em>Take for instance, AC = 24</em>

<em>BC will be:</em>

<em />BC = \frac{2}{3} * 24<em />

<em />BC = \frac{48}{3}<em />

<em />BC = 16<em />

<em />

<em>Or if AC = 12</em>

<em>BC will be:</em>

<em />BC = \frac{2}{3} * 12<em />

<em />BC = \frac{24}{3}<em />

<em />BC = 8<em />

<em />

<em>Or if AC = 36</em>

<em>BC will be:</em>

<em />BC = \frac{2}{3} *36<em />

<em />BC = \frac{72}{3}<em />

<em />BC = 24<em />

<em />

5 0
3 years ago
Write the percent 96.55% as a decimal<br><br> a- 9566<br> b- 956.6<br> c- 0.9566<br> d- 9.566
qaws [65]


96.55% divide by 100 then the answer you'll get is 0.9655
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4 0
3 years ago
Read 2 more answers
Your classmate says that the solutions to the given inequality are x &gt; -2. Look carefully at the work. Should your friend hav
LuckyWell [14K]

Answer:

x < -2 (No, he shouldn't have reversed the inequality symbol).

Step-by-step explanation:

Given the algebraic expression;

19 - 2(1 - x) < 13

Opening up the bracket, we have;

19 + (-2*1) + (-2*-x) < 13

19 + (-2) + (2x) < 13

19 - 2 + 2x < 13

17 + 2x < 13

Rearranging the equation, we have;

2x < 13 - 17

2x < -4

Dividing both sides by 2, we have;

<em>x < -2</em>

Hence, your friend shouldn't have reversed the inequality symbol (sign).

Note: you should only flip the inequality symbol (sign) when you're dividing by a negative number such as -2.

For example, if we had re-arranged the equation as;

17 - 13 < -2x

4 < -2x

Dividing both sides by -2, we have;

4 > x

6 0
3 years ago
Find the value of x in the equation 3/4 (8x -6 )-2 = 1/2 (1-2x)
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I continue in comment

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3 years ago
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In ΔRST, the measure of ∠T=90°, SR = 65, TS = 33, and RT = 56. What is the value of the sine of ∠R to the nearest hundreth
irina [24]

We have been given that in ΔRST, the measure of ∠T=90°, SR = 65, TS = 33, and RT = 56. We are asked to find the value of sine of ∠R to the nearest hundreth.

First of all, we will draw a right triangle using our given information.  

We know that sine relates opposite side of right triangle to hypotenuse.

We can see that side SR is hypotenuse and TS is opposite side to angle R.

\sin(\angle R)=\frac{SR}{TS}

\sin(\angle R)=\frac{65}{33}

\sin(\angle R)=1.96969

Upon rounding to nearest hundredth, we will get:

\sin(\angle R)\approx 1.97

Therefore, the value of the sine of ∠R is approximately 1.97.

3 0
3 years ago
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