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cupoosta [38]
3 years ago
14

The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the

Mathematics
2 answers:
docker41 [41]3 years ago
5 0
In the Pythagorean Theorem, a^2+b^2=c^2. The measurements provided here are 30, and 18. 30 is c and 18 is either a or b (it doesn’t matter) 30 is c because it is specified as a diagonal. In reverse to the Theorem, it would be 30^2-18^2= a^2 that would be 900-324. You would then square root what you got for “a” to find your answer. It would be 24.
Anna007 [38]3 years ago
3 0

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

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Sandra normally takes 2 hours to drive from her house to her grandparents' house driving her usual speed. However, on one partic
Rudiy27

Answer:

Her usual driving speed is 38 miles per hour.

Step-by-step explanation:

We know that:

s = \frac{d}{t}

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.

We have that:

At speed s, she takes two hours to drive. So

s = \frac{d}{2}

d = 2s

However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.

228 minutes is 3.8 hours. So

0.4s + 0.6(s - 30) = \frac{d}{3.8}

So

3.8(0.4s + 0.6s - 18) = d

3.8s - 68.4 = 2s

1.8s = 68.4

s = 38

Her usual driving speed is 38 miles per hour.

3 0
3 years ago
Suppose that a dog, a goat, and a bag of tin cans are to be transported across a river in a ferry that can carry only one of the
Bingel [31]

Answer:

The task is explained in detail below.

Step-by-step explanation:

We know that  a dog, a goat, and a bag of tin cans are to be transported across a river in a ferry that can carry only one of these three items at once (along with a ferry driver).  

The driver will first transport the goat to the other shore and then return empty. Then they will take a bag of tin and transport it to the other shore, and then they will return with the goat to their original place.  

Then he will leave the goat there and take a dog and carry it to the other shore and then return empty.

And eventually they will take the goat and transport it to the other shore.

4 0
3 years ago
Helpp me out pls!!!!!!!!!
dsp73

Answer:

a. Maurice walked farther.

b. 0.62 m

Step-by-step explanation:

Maurice

4.1 × 1.8 = 7.38 miles

Junnie

2.5 × 3.2 = 8 miles

This shows that Junnie walked more than Maurice.

8 - 7.38 = 0.62

Junnie walked 0.62 m more than Maurice

5 0
3 years ago
What is .50 as a benchmark fraction
Alinara [238K]

Answer: 1/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Bas_tet [7]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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