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
olga2289 [7]
3 years ago
6

Rhombus ABCD has perimeter 148, and one of its diagonals has length 24. How long is the other diagonal?

Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

70 units.

Step-by-step explanation:

The 4 sides of a rhombus are equal so each side has length 148 /4

= 37 units. The diagonals bisect each other at right angles so when we draw the 2 diagonals we have 4 congruent right-angled triangles.

So consider one of these triangles:

The hypotenuse is 37 units and one of the legs = 1/2 * 24 = 12 units ( half of the diagonal of length 24).

So the other leg is found using Pythagoras:

x^2 = 37^2 - 12^2 = 1225

x = 35.

This is half of the other diagonal so the latter  = 70 units.

You might be interested in
Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area
harkovskaia [24]

Answer:

The area  of the cover for the hot tub must be:

  • <u>38 square feet</u>.

Step-by-step explanation:

First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:

  • <u>Area of a circle = pi * radius ^ 2</u> (you must know that the radius is half the diameter)

Since the diameter is mentioned, it can be replaced in the formula:

  • Area of a circle = 3.14 * (3.5 feet) ^ 2
  • <u>Area of a circle = 38,465 square feet. Approximately 38 square feet</u>.
7 0
2 years ago
Read 2 more answers
What is probablity, and how would I be able to find? (Could you also show an example)
Dominik [7]
How many are there then the total amount
7 0
3 years ago
one angle of a triangle is 2 / 3 of a right angle . the greater of the other to exceed the lesser by 20 degree. Find the angles
jarptica [38.1K]
2/3 of a right triangle is 60 degrees.  Then x + (x+20) + 60 = 180 total.

2x + 80 = 180, so 2x = 100 and x = 50.  The angles are 50, 70 and 60 (degrees)

What do you mean by "grades?"
4 0
3 years ago
The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati
makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\

And the second one would be

y = 2-x \,\,\,\,\,,  1 \leq x \leq 2.

If you rotate the first region around the "y" axis you get that

{\displaystyle A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51 }

And if you rotate the second region around the "y" axis you get that

{\displaystyle A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188 }

And the sum would be  2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first  region around the x axis you get that

{\displaystyle A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708 }

And if you rotate the second region around the x axis you get that

{\displaystyle A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472 }

And the sum would be 1.5708+1.0472 = 2.618

7 0
3 years ago
An environmental scientist estimated the number of drops of water in two different jugs. He estimated that the smaller jug conta
LiRa [457]
I believe it is 8,459,999,894,000,001
8 0
3 years ago
Other questions:
  • Which of the following expressions is a linear equation in one variable?
    13·1 answer
  • The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the
    9·2 answers
  • How do you do this question?
    7·1 answer
  • In the figure angle G measures 102° and angle B measures 30° what is the measurement of angle B
    10·2 answers
  • Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working
    13·2 answers
  • The standard form of 230 000
    7·2 answers
  • What is the least common multiple and greatest common factor of 24 and 21
    11·1 answer
  • The figure below shows a line graph and two shaded triangles that are similar:
    11·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    7·2 answers
  • Someone please help me!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!