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jonny [76]
3 years ago
7

A city known for its temperature extremes started the day at -5 degrees Fahrenheit. The temperature increased by 78 degrees Fahr

enheit by midday, and then dropped 32 degrees by nightfall. What expression can you write to find the temperature at nightfall?
Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting temperature = - 5°F

Temperature at midday =increase in temperature by 78°F = (starting temperature + 78°F)

Temperature at nightfall = decrease in temperature by 32°F = ( temperature at midday - 32°F)

Temperature at midday:

(-5°F + 78°F) = 73°F

Temperature at nightfall:

(Temperature at midday - 32°F)

(73°F - 32°F) = 41°F

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Please solve the following sum or difference identity.
xxTIMURxx [149]

Answer:

sin(A - B) = \frac{4}{5}

Step-by-step explanation:

Given:

sin(A) = \frac{24}{25}

sin(B) = -\frac{4}{5}

Need:

sin(A - B)

First, let's look at the identities:

sum: sin(A + B) = sinAcosB + cosAsinB

difference: sin(A - B) = sinAcosB - cosAsinB

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \frac{24}{25}

cos(A) = \frac{7}{25}

sin(B) = -\frac{4}{5}

cos(B) = \frac{3}{5}

Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

6 0
3 years ago
Read 2 more answers
Blueberries are on sale for $2.80 per pint. The regular price is $3.50 per pint. What is the percent of decrease?
maks197457 [2]
The answer is 7% because the sale amount was .70 cents.
3 0
3 years ago
rectangle A has 7 times the area of rectangle B. The width of rectangle A is 1/4 the width of rectangle B. The height of rectang
algol13

Answer:

just do 7 times 1/4 + the 12 thats your answer

Step-by-step explanation:

8 0
3 years ago
A postal clerk sold 50 postage stamps for $16.05. Some were 39-cent stamps and the rest were 24-cent stamps. How many 39-cent st
svetoff [14.1K]
39x + 24(50 - x) = 1,605 
<span>13x + 8(50 - x) = 535 </span>
<span>13x + 400 - 8x = 535 </span>
<span>5x = 135 </span>
<span>x = 27 </span>

<span>Answer: 27 of 39-cent stamps were sold</span>
7 0
4 years ago
Solve the inequality
Alex17521 [72]
Isolate c by subtracting all sides by 4

Then divide all sides by -5

You should get


5 less than or equal to c less than or equal to 4



Hope this helped :)
8 0
2 years ago
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