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Alja [10]
3 years ago
15

The height of a parallelogram is one-third its base. If the area of the parallelogram is 363 square inches, find its base and he

ight. (Draw a diagram.)

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

Height = 11 inches

Base = 33 inches

Step-by-step explanation:

In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.

From the question, we are told that height is 1/3 of base. This means that base is 3 times the height

So if we represent the height with variable h, then the base is 3h

Mathematically the area of a parallelogram can be calculated by the formula

A = bh

Thus ,

363 = h * 3h

3h^2 = 363

divide through by 3

h^2 = 121

h = √121

h = 11 inches

since b = 3h , then b = 3 * 11 = 33 inches

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6 0
3 years ago
Will give brainliest
Galina-37 [17]

The percentage of the radioactive isotope left is 25.0000%.

<h3>What is the half life?</h3>

The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.

Now;

We are told that;

Half life (t1/2) = 55 days

Time taken (t) =  115 days

Ratio of isotope remaining = N/No

Thus;

N/No = (1/2)^t/t1/2

N/No = (1/2)^115/55

N/No = (1/2)^2

N/No =1/4

Hence, the percentage = 1/4 * 100/1 = 25.0000%

Learn more about half life of an isotope:brainly.com/question/16387602

#SPJ1

7 0
2 years ago
1. What is the prime factorization of 402? *<br> Your answer
docker41 [41]

Answer:

Step-by-step explanation:

Prime factorization requires dividing by primes starting with smallest prime number

402/2=201

201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is

2X3X67

3 0
3 years ago
The side lengths of the smaller cube is 3 1/2 inches by 3 1/2 inches by 3 1/2 inches
Svetllana [295]

Answer:

28.5 inches long for the smaller cube

7 0
3 years ago
A. Steven wrote an expression with 2 terms. The second term, which is the whole number 7, is subtracted from the first term. The
bulgar [2K]

Answer:

Part a)

Steve's expression is 2(2x+5)^{2}-7

For x=3, the expression is equal to 235

Part b)

Jasmine's expression is

(3x^{2})+(25x)

For x=2, the expression is equal to 62

Step-by-step explanation:

Part a)

Let

n-----> the first term

The expression is

(n-7)

n=2(2x+5)^{2}

substitute

Steve's expression is

2(2x+5)^{2}-7

Evaluate for x=3

2(2(3)+5)^{2}-7=242-7=235

Part b)

Let

n-----> the first term

Jasmine's expression is

(3x^{2})+(25x)

Evaluate for x=2

(3(2)^{2})+(25(2))=12+50=62

4 0
3 years ago
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