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
3(2.7+5)−2 what is the answer
lbvjy [14]

Answer:

The answer to the problem is 21.1

3 0
3 years ago
Please help I still do not understand these questions
solniwko [45]

Answer:

m = 2/5

Step-by-step explanation:

easy

4 0
2 years ago
Mel bought some shirts for $15 each, Joe bought 3 less shirts than Mel for $18 each together they spent $111 how many shirts did
LenaWriter [7]
Mel purchased 5 shirts and Joe purchased 2 shirts. 
8 0
3 years ago
A set of three lines that has one point of intersection
ryzh [129]
This construction called a pencil of lines. That figure can have 3,4,5.... any number of  straights lines. The main rule is their common point. And it looks like spokes of a wheel. Here you can find a lot of vertical angles and rays.
6 0
3 years ago
A quadratic function is described by the equation f(x) = (x - 3) ^ 2 Which statement about the graph of the function is true?
Bond [772]

Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Step-by-step explanation:

Remember, a quadratic function which has roots x = a, and x = b, can be written as:

p(x) = A*(x - a)*(x - b)

Where A is the leading coefficient. This is the factorized form of a quadratic.

We have the function:

f(x) = (x - 3)^2

Now, we could rewrite this as:

f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)

Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)

Then the only root of f(x) is x = 3.

Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:

A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

4 0
3 years ago
Other questions:
  • Difference between 2 numbers is 25,smaller is 1/6 of large number, whats the small number
    7·1 answer
  • What would the unit rates be for a man who walked 20 mi in 5 h?
    10·2 answers
  • Which of the following functions is graphed below?
    13·1 answer
  • Can someone please help me with this math problem?
    8·1 answer
  • The extremes in the proportion 3/4=15/20 are
    8·2 answers
  • Solve for b, Round to the hundreth<br> 28b^3 = 2165
    6·2 answers
  • Helpppppppppppppppppppppp
    10·1 answer
  • X-y=−3 slope intercept form
    15·1 answer
  • PLSSSS HELPPP MEEEEEE
    10·1 answer
  • Tomas learned that the product of the polynomials <img src="https://tex.z-dn.net/?f=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29" id="TexFo
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!