1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Levart [38]
3 years ago
10

If the length of a rectangle is 3 and the width is 2, the length of the diagonal is a 13 b 5 c √5 d √13

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

The length of the rectangle is 12cm and the area of the rectangle is 60cm2.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2

52+b2=132

25+b2=169

25−25+b2=169−25

b2=144

√b2=√144

b=±12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.

The area of a rectangle is given by multiplying the width by the length.

A=(5cm)(12cm)

A=60cm2

You might be interested in
A radio is being discounted 20% if the sale price of the radio is $51.44 what is the original price of the radio Radio is being
Grace [21]
Original price of the radio is $64.30

Sale price - $51.44
Discount rate - 20%

This means that $51.44 is the discounted price or is equivalent to 80% of the original price, since the 20% equivalent is deducted from the original price.

To get the original price, divide $51.44 by its corresponding percentage, 80%.

$51.44 / 80% = $64.30

To get the discount, multiply the original price by its discount rate

$64.30 x 20% = $12.86

To get the sales price, deduct the discount from the original price.

$64.30 - $12.86 = $51.44
100% - 20% = 80%

6 0
3 years ago
Which is bigger 3 yards is 10 feet
77julia77 [94]
1 yard = 3 feet.

3 yards = 3 * 3 = 9 feet

9 feet < 10 feet

Hope that helped =)
5 0
3 years ago
Read 2 more answers
Choose the equation and the slope of the line that passes through (5,-3) and
madam [21]

Answer:

x = 5; the slope is undefined

Step-by-step explanation:

A line perpendicular to the x-axis is a vertical line.

In a vertical line, every point has a different y-coordinate and the same x-coordinate. Since you want a line that is vertical and passes through the point (5, -3), then every point on the line must have x-coordinate 5 no matter what its y-coordinate is. The slope of a vertical line is undefined.

Answer: The equation is x = 5; the slope is undefined

7 0
3 years ago
Use the long division method to find the result when<br> 3x^3 + 13x^2 + 11x + 1 is divided by x+1
grin007 [14]

Answer:

duster f vying FE65820 crystal cyst

7 0
3 years ago
The cost of a school banquet is 75$ plus 15$ per person.
ivann1987 [24]

Answer:

The cost of a school banquet is $75+30n, where n is the number of people attending.

If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.

At n=53, the value is $(75+30·53)=$1,665.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Let point (a,b) be on a unit circle.
    5·1 answer
  • The sum of three consecutive even numbers is 66. What is the smallest of these numbers?
    9·1 answer
  • Ellen made pudding for dessert. She collected data on the temperature of the pudding as she was cooking, as graphed below. What
    12·2 answers
  • The bowl is shaped like a hemisphere with a radius of 5 inches. Find the volume of the bowl.
    10·1 answer
  • I need to understand the solution.
    11·1 answer
  • Ryan decided to ride his bicycle X times around the neighborhood. His best friend
    15·1 answer
  • Evaluate the log without a calculator ( Show your work )<br><br> <img src="https://tex.z-dn.net/?f=log_%7B81%7D%2027" id="TexFor
    8·2 answers
  • 6w-19+k when w=8 and k=2
    8·2 answers
  • PLEASE ANWSER THIS QUESTION ASAP!!!
    8·2 answers
  • What are like terms​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!