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3 years ago

Find the degree triangle

Mathematics

1 answer:

coldgirl [10]3 years ago

6 0

Answer:

A) 7

Step-by-step explanation:

Because the triangles are congruent to each other, then their corresponding angles are also congruent to each other. Thus, angles Z and V are congruent to each other:

$\angle Z=\angle V\\\\40^\circ=(5n+5)^\circ\\\\35=5n\\\\7=n$

Therefore, your answer is A.

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3 years ago

jill's fish weighs 8 times as much as her parakeet. together, the pets weigh 63 ounce. how much does the fish weigh?

andriy [413]

<span><span>1. </span>Jill’s fish weighs 8 times as much as her parakeet.
Together they weigh 63 ounce.
Find the weight of the fish.
=> Jill’s Fish = 8x
=> Parakeet = x
Equation:
=> 8x + x = 63
=> 9x = 63
=> 9x / 9 = 63 / 9
=> 7 ounce
Thus the weight of fish = 8(7)
=> 56 ounce
Which is 8 times as much as parakeet which is 7
=> 56 + 7 = 63 ounce</span>

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4 years ago

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3 years ago

A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$

Substitute the values,

$\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}$

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$= \dfrac{4}{3}\pi r^3\\\\= \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3$

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water = Volume of the cylinder - Volume of the sphere

= 1696.46 - 113.097

= 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

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2 years ago