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SashulF [63]
3 years ago
8

You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side

to construct a valid triangle?
8 centimeters
6 centimeters
4 centimeters
10 centimeters
2 centimeters
Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

6 centimeters and 4 centimeters

Step-by-step explanation:

According to the Triangle Inequality, the sum of the lengths of any two sides of a triangle has to be greater than the third side. The answer choices that satisfy the Triangle Inequality is 6 centimeters and 4 centimeters.

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Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal dista
defon

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

<h3>How to determine the horizontal distance?</h3>

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

Read more about right triangles at:

brainly.com/question/2437195

5 0
2 years ago
Harvey decided to make chocolate pudding pies for a celebration. He had to make 4 pies. Each pie needed 2 quarts of milk. How ma
Blababa [14]

Answer:

He will need 16 pints.

Step-by-step explanation:

2 pints per quart

2 quarts = 4 pints

4 x number of pies (4)

16

3 0
2 years ago
Read 2 more answers
The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.
Ber [7]

Answer:

Part 1) The volume of the object is 32\pi\ cm^{3}  or 100.48\ cm^{3}

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1)  What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=3\ cm

substitute the values

V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=(10-3)=7\ cm

substitute the values

V=\pi (2^{2})(7)=28\pi\ cm^{3}

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3} ------> exact value

Find the approximate value of the volume

assume

\pi=3.14

32(3.14)=100.48\ cm^{3}

7 0
3 years ago
Read 2 more answers
A spool contains 270 inches of wire. How many pieces of wire, each with the a length of 1 7/8 inches, can be cut from the spool?
prisoha [69]
You would be able to cut 144 pieces of wire from the spool because 270/1 7/8 (or 1.875) equals 144
6 0
3 years ago
Solve the following by elimination method <br> 11x+15y+23=0 and 7x-2y-20=0
mr Goodwill [35]
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]

Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3

Therefore, x = 2 and y = -3.
7 0
3 years ago
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