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Levart [38]
3 years ago
6

A rectangle has length that is 4 inches longer than its width. It’s perimeter is 36 inches. Which of the following is it’s area?

Mathematics
2 answers:
Scilla [17]3 years ago
5 0

Answer:

C. 77

Step-by-step explanation:

Let l be length and w be the width of the rectangle,

Thus, the perimeter of the rectangle = 2 ( length + width )

= 2 ( l + w )

According to the question,

l - w = 4 ⇒ l = 4 + w

Also, 2(l+w)=36

2(4 + w +w)=36

4 + 2 w = 18

2w = 14

⇒ w = 7

So, the width of the rectangle is 7 inches.

And, length = 4 + 7 = 11 inches

Thus, the area of the rectangle = length × width

= 11 × 7

= 77 in²

Option 'C' is correct.

Pepsi [2]3 years ago
4 0
Width= 7
Length= 11
Area: 11•7=77 (C)
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A clock has a diameter of 16 cm. How long is the metal band around it?
kramer

Answer:

The length of  metal band around the given clock  is 50. 24 cm.

Step-by-step explanation:

Here, the diameter of given clock = 16 cm

Now, Diameter = 2 x Radius

So,  Radius  = D/2  = 16 cm/2  = 8 cm

⇒The radius of the clock = 8 cm

Now, The metal Band around it = The CIRCUMFERENCE of the watch

Circumference of the clock  = 2 π r

=  2 x ( 3.14) x ( 8)  = 50.24 cm

or, C = 50.24 cm

Hence, the length of  metal band around the given clock  is 50. 24 cm.

6 0
3 years ago
Hellllllllllllllp. this scale drawing of a desktop
Kruka [31]
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So 45x30= 1,350 so the answer is 1,350 square inches! :)
6 0
3 years ago
Read 2 more answers
A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5
lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 0.499, \sigma = 0.002

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.

So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.

Larger than 0.504

1 subtracted by the pvalue of Z when X = 0.504.

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.504 - 0.494}{0.002}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938= 0.0062

Smaller than 0.496

pvalue of Z when X = -1.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.496 - 0.494}{0.002}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 + 0.0062 = 0.073

7.3% of the bearings produced will not be acceptable

4 0
3 years ago
What is the missing reason in the proof?
IrinaVladis [17]

We can identify that the missing reason in the proof is: Definition of Congruent angles.

<h3>How to give proof of a congruent triangle?</h3>

We know that an angle measure of 90° of ∠ABC in the triangle means that it is a right angle triangle.

We also see that ∠ADB is also a right angle and is equal to 90°.

Now, since they have exactly the same measure, these angles are congruent. Then we can say that the angles are congruent and as such:

∠ABC ≅ ∠ABD

Thus, we can identify that the missing reason is: Definition of Congruent angles.

Read more about Triangle proof at; brainly.com/question/1248322

#SPJ1

3 0
2 years ago
After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus $0.35 per mile. Which type of function
Sauron [17]

Answer:

The answer would be A. 1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

6 0
3 years ago
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