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lisov135 [29]
3 years ago
11

I need help with this

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

For the first block, you need to multiply a x a x b

3 x 3 x 6 = 54

For the 2nd block, you need to multiply a x a x c

3 x 3 x 12 = 108

Now you need to add both volumes of the blocks

108 + 54 = 162 in^3

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The area of the square, the
const2013 [10]

Answer:

B.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

As given in the question, we know that:

The ratio of the area of the circle to the area  of the square is π/4

  • The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*πr^{2}

  • The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V =  1/3*h*4r^{2}

=> the ratio of volume of the cone to the pyramid is:

= \frac{V1}{V2}

= (1/3*h*πr^{2} ) / ( 1/3*h*4r^{2} )

= π/4

S we can conclude that the volume of the cone equals π/4  the volume of the  pyramid

Hope it will find you well.

7 0
3 years ago
A<br> Find tan a.<br> r<br> √5,-√7)<br> ✓[?<br> Enter
Virty [35]

Answer:

tan(\alpha)=-\frac{\sqrt{35}}{5}

Step-by-step explanation:

Tan can be defined as: \frac{sin(\theta)}{cos(\theta)} as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.

Using this we can define tan

sin(\alpha)=-\sqrt{7}\\cos(\alpha)=\sqrt{5}\\\\tan(\alpha)=-\frac{\sqrt{7}}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}\\tan(\alpha)=-\frac{\sqrt{7*5}}{5}\\tan(\alpha)=-\frac{\sqrt{35}}{5}\\

8 0
2 years ago
Read 2 more answers
The table shows the grades that science students earned on the last test. a:17 b:25 c:24 d:12 f:2 What percent of students recei
Molodets [167]

Answer:

0.525 %

Step-by-step explanation:

there is a total of 80 students and 42 received a A or B so 42/80 = 0.525

Hope this helps!

8 0
3 years ago
Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether th
Alex17521 [72]

Answer:

The slope is 3 and the line is rising.

Step-by-step explanation:

To find the slope m of a line given two points (x₁, y₁) and (x₂,y₂) we can use the formula:

m = (y₂-y₁) / (x₂ - x₁)

In this problem we have the points (6,2) and (7,5), substituting these values in the formula we get:

m = (5 - 2) / (7 - 6) = 3/1 = 3

Therefore, the slope is 3.

Given that the slope is positive we can conclude that the line through the points rises.

5 0
3 years ago
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