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Lady_Fox [76]
3 years ago
15

Alfred is taking a trip. He drove 150 mi and then stopped to refuel. He will drive 60 mph to finish his trip. Let x represent th

e hours it takes for Alfred to complete the rest of his trip, and let y represent the total distance traveled.
Complete the function equation that relates Alfred’s total distance traveled to his time.

y=___x+____
Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0
The total distance traveled by Alfred is the sum of the distance he traveled before and after refueling.

The distance he traveled before refueling is 150 miles. After refueling, the distance he traveled is the product of his speed and time, x hours. Therefore, his total distance traveled is,
 
                                y = 60x + 150
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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
The _____ in the hundreds place has a value ____ times as great as the _____ in the _____ place. 440
solong [7]

Answer:

The 4 in the hundreds place has a value 10 times as great as the 4 in the tens place.

Step-by-step explanation:

440 = 400 + 40 + 0

the hundreds place is worth 400 here

it is worth 10x the tens place (40 here)

5 0
3 years ago
a person driving along the road moves rates of 56 miles per hour driven.How far does the person drive in 1.5 hours?
tester [92]
56 miles : 1 hour
/2. /2
28 miles : 30 minutes
56+28. 1h+30m
84 miles : 1 hour 30 minutes

84 is the answer
8 0
3 years ago
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A carnival snack booth made $76 selling popcorn in one day. It made 22 times as much selling cotton candy. How much money did th
const2013 [10]
I think you have to multiply 74*22
3 0
3 years ago
Read 2 more answers
BRAINLIEST FOR WHOEVER ANSWERS FIRST!!!!
Fofino [41]

Answer:

x = 34

Step-by-step explanation:

ΔABD and ΔBCD are both isosceles triangles

In ΔABD

AB =AD, hence ∠ABD = ∠ADB ( base angles are equal )

∠ABD = \frac{180-44}{2} = \frac{136}{2} = 68°

∠DBC = 180° - 68° = 112° ( straight angle )

∠BCD = x = \frac{180-112}{2} = \frac{68}{2} = 34


4 0
3 years ago
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