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Andrej [43]
2 years ago
11

This rectangular frame is made from 5 straight pieces of metal.

Mathematics
1 answer:
Aneli [31]2 years ago
7 0

Answer:

Total weight = 70.5 kg

Step-by-step explanation:

Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.

2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each

2 pieces from the width of the rectangular frame, hence, they a length of 5 m each

To find the length of the diagonal, we can use Pythagoras Theorem:

Hypotenuse² = Base² + Perpendicular²

Hypotenuse² = 5² + 12²

Hypotenuse² = 169²

Hypotenuse = 13

Hence, the length of the piece of metal placed at the diagonal is 13cm

Find the sum of all lengths of the metal pieces.

Total length = 12 + 12 + 5 + 5 + 13

Total length = 47 m

Total weight = 1.5 × Total length

Total weight = 1.5 kg/m × 47m

Total weight = 70.5 kg

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A trapezoid is 14 centimeters high and has bases that measure 13.5 centimeters and 27.5 centimeters. What is the area of the tra
Alexxandr [17]
Hello!

We can find the area of the trapezoid using the formula for area of a trapezoid:

FORMULA: 

A = [(b + b) * h / 2]

SUBSTITUTE: 

A = [(13.5 + 27.5) * 14 / 2]

SOLVE: 

A = 41 * 14 / 2

A = 574 / 2 

A = 287 cm²

So, the area of the trapezoid is 287 cm².


7 0
2 years ago
Divide 6K2 - 15k-5 by 3k​
icang [17]

Answer:

Step-by-step explanation:

6k^2

------- = 2k; and:

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-15k

------- = -5

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-5 cannot be evenly divided by 3k, so there's a remainder instead.

6k^2 - 15k - 5

-------------------- = 2k -5 with remainder -5.

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4 0
2 years ago
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Thirty-two percent of fish in a large lake are bass. Imagine scooping out a simple random sample of 15 fish from the lake and ob
klio [65]

Answer:

Thirty-two percent of fish in a large lake are bass. Imagine scooping out a simple random sample of 15 fish from the lake and observing the sample proportion of bass. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.

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B. The standard deviation is 0.8795. The 10% condition is not met because there are less than 150 bass in the lake.

C. The standard deviation is 0.1204. The 10% condition is met because it is very likely there are more than 150 bass in the lake.

D. The standard deviation is 0.1204. The 10% condition is not met because there are less than 150 bass in the lake.

E. We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 150 bass in the lake

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6 0
2 years ago
Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
Ivenika [448]

Given:

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When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

\dfrac{1850}{400.73}=4.61657

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

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The eastward translation of the rose garden is along which axis? What integer represents a change of two yards east?
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Answer:

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