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4 years ago

The measure of angle A is

Mathematics

1 answer:

Serga [27]4 years ago

7 0

Your answer would be a) 60 - x°. This is because angles in a triangle add up to 180°, and as angle B is 90 and angle C is x + 30, that means angle A must be 180 - (90 + 30 + x) which is 180 - (120 + x), which when simplified equals 60 - x. I hope this helps!

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It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show

Tju [1.3M]

Answer:

The volume of the rectangular prism is 19.25 inches³.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = $\frac{1}{2}\ inch.$

Now, to get the volume of cube we put formula:

$Volume=(side)^3\\\\Volume=(\frac{1}{2})^3 \\\\Volume=\frac{1}{8}\ inch^3.$

Thus, the volume of a cube is $\frac{1}{8} \ inch^3.$

Number of cubes = 154.

According to question, it takes 154 cubes to fill the rectangular prism.

So, to get the volume of prism we need to find the volume of 154 cubes.

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

$\frac{1}{8}\times 154\\\\ =\frac{154}{8}\\\\ =19.25\ inches^3.$

Therefore, the volume of the rectangular prism is 19.25 inches³.

3 0

4 years ago

I need some help with this

bonufazy [111]

1st blank: 2x
2nd blank: 4x
3rd blank: 8
4th blank: 16
5th blank: 4

4 0

3 years ago

Marley is making banana-nut muffins.

balandron [24]

Answer:

5/3

Step-by-step explanation:

First, find how much milk is used for 1 muffin.

To do that, you need to divide 2/3 by 8.

You get 1/12.

Then you multiply 1/12 with 20.

You get 5/3.

3 0

3 years ago

The ratio of teachers to students at a school is 3 : 74. There are 2,500 students at the school. About how many teachers are at

Ulleksa [173]

Answer:

100

Step-by-step explanation:

$\frac{3}{75}=\frac{x}{2,500}$

2500x3=7500

7500 divided by 75=100

4 0

3 years ago

Edward went to the grocery store and bought some bro pounds of vegetables the vegetables cost 1.50 per pound. If he bought 3.25

Natali5045456 [20]

The cost of each vegetable is €1.50 per pound

Edward bought 3.25 pounds of carrot.

So the cost of 3.25 pounds of carrots = 3.25 × 1.50 = €4.875

He also purchased $1\frac{2}{10}= 1\frac{2}{5} =\frac{6}{5}$ pounds of beet.

Quantity of beet purchased = 6/5 = 1.2 pounds

So the cost of beet shall be = 1.50 × 1.2 = €1.80

He purchased 0.95 pounds of Broccoli

So the cost of Broccoli shall be = 0.95 × 1.50 = €1.425

Total amount spent = 4.875 + 1.80 + 1.425 = €8.10

Edward spent €8.10 on vegetables.

7 0

3 years ago