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Alenkasestr [34]
2 years ago
5

A parallelogram has sides of length 16 units and 10 units. The shorter diagonal is 11 units. Find the measure of the longer diag

onal. Round to 2 decimal places, if necessary.
Mathematics
1 answer:
lord [1]2 years ago
4 0

The measure of the longer diagonal is 24.31 units

<h3>How to determine the longer diagonal?</h3>

The side lengths are given as;

a = 16

b = 10

The shorter diagonal is represented as d1, and it is given as

d1 = 11

The longer diagonal is represented as d2, and it is calculated using

d1^2 + d2^2 = 2 * (a^2 + b^2)

Substitute the known values in the above equation

11^2 + d2^2 = 2 * (16^2 + 10^2)

Evaluate the sum

121 + d2^2 =2 * 356

Evaluate the product

121 + d2^2 = 712

Subtract 121 from both sides

d2^2 = 591

Take the square root of both sides

d2 = 24.31

Hence, the measure of the longer diagonal is 24.31 units

Read more about parallelograms at:

brainly.com/question/970600

#SPJ1

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Liula [17]

Answer:

29

Step-by-step explanation:

You take the two sides and make them to the second power so 20 would be 400 and 21 would be 441. You add those numbers to get 841. Than the square root of 841 is the answer which is 29

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Which number is composite? 53,81,41,47,31<br><br> a. 31<br><br> b. 81<br><br> c. 41<br><br> d. 47
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answer

B 81

explanation

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3 years ago
over the course of 4 days the price of stock at ACME corporation fell $28. What was the average change in stock price per day?
expeople1 [14]
28/4 = 7...and since the price fell, it would be -7 per day
8 0
3 years ago
Read 2 more answers
Unit 3, Lesson 7
aksik [14]

Answer:

Find the complete table in attached file.

Step-by-step explanation:

Find the Incomplete table in attached file

Given:

A car travels 55 miles per hour for 2 hours.

So the speed of the car 55 miles per hour is constant for 2 hours.

Using speed  formula.

Speed=\frac{distance}{time}

Second row.

From the second row of the table time = \frac{1}{2}=0.5\ sec and speed is constant speed = 55\ mi/hr, so we need to find only distance.

Speed=\frac{distance}{time}

55=\frac{distance}{0.5}

distance = 55\times 0.5

distance = 27.5\ mi

Third row.

From the third row of the table time =1\frac{1}{2}=\frac{3}{2} = 1.5\ sec and speed is constant speed = 55\ mi/hr, so we need to find only distance.

Speed=\frac{distance}{time}

55=\frac{distance}{1.5}

distance = 55\times 1.5

distance = 82.5\ mi

Fourth row.

From the fourth row of the table distance =110\ miles and speed is constant speed = 55\ mi/hr, so we need to find time.

Speed=\frac{distance}{time}

time=\frac{distance}{speed}

time=\frac{110}{55}

time = 2\ sec

Therefore we complete the table from the above calculation.

8 0
3 years ago
Emma is playing miniature golf. Her ball is 2 feet to the left of the right-hand wall. The hole is 4 feet to the left of the wal
NISA [10]

Answer:

<u></u>

  • <u>She should aim 6 feet down the wall</u>

Explanation:

The diagram attached sketches the situtation.

Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.

Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:

  • x/4 = y/2 ⇒ x = 2y

You have other equation:

  • x+ y = 18

Substitute

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  • 3y = 18
  • y = 18/3
  • y = 6 ← this is the distance down the wall where the ball should hit

  • x = 2(6) = 12

Then, she should aim 6 feet down the wall.

8 0
3 years ago
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