A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?

A rectangular pyramid. The cross section is a triangle.
a triangle that has the same dimensions as one of the sides of the pyramid
a triangle that does not have the same dimensions as one of the sides of the pyramid
a parallelogram that is not a rectangle
a rectangle

Answer:

Step-by-step explanation:

7,A=9*6sin30°

=54*0.5

A= 27

8,A=6*10sin60°

A= 60*0.86

A=52....... approximately

9, A=1/2bh

A=0.5*x*xroot 3

A=root3/2 x^2

You can find x using trigonometric values

Answer:

Step-by-step explanation:

a parallelogram that is not a rectangle

Answer:

A

Step-by-step explanation:

I did it on the quiz

Answer:

the ball takes 3.1944 sec

Step-by-step explanation:

Answer:

It takes 3.498 seconds.

Step-by-step explanation:

To calculate free fall you must use the formula: h=1/2gt^2

Answer:

16/24

Step-by-step explanation:

let’s use the GCF of both which is 3 for 15/27

15/27 divided by 3 is 5/9

for 16/24 the gcf is 8

16/24 / 8 is 2/3

now we have to multiply 2/3 times 3

2/3 times 3 6/3 which is 2

so 16/24 is greater.

Answer:

x = -8

Step-by-step explanation:

1/4x +2= -5/8x - 5

Add 5/8x to each side

1/4x +5/8x +2= -5/8x+5/8x - 5

1/4x+5/8x +2=  - 5

Subtract 2 from each side

1/4x+5/8x +2-2=  - 5-2

1/4x+5/8x =  - 7

Get a common denominator

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7x * 7/8x = -7 *8/7

x = -8

Answer:

x=-8

Step-by-step explanation:

1/4x+2=-5/8x-5

find l.c.m=8

multiply through by l.c.m which is 8

x/4×8+2×8=-5x/8×8-5×8

2x+16=-5x-40

2x+5x=-40-16

7x=-56

divide both sides by 7

7x/7=-56/7

x=-8

Answer:

D

Step-by-step explanation:

2x + 3y = 18

3x - 3y = 12

the 3y and -3y cancel and you add the other like terms

5x = 30

x = 6

plug x back into any of the equations

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

answer is (6,2)

Answer:

2 half cubes

Step-by-step explanation:

this has only half the width, you just need 1 more to make a whole, therefore 2

Answer:

15

Step-by-step explanation:

Answer:

b=-a

Step-by-step explanation:

we know that b is located the same distance from 0 as another number, a, but in the opposite direction.

so the sum of the two numbers equal zero

a+b=0

a=-b or b=-a

Answer:

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.

The midpoint of each class can be calculated as the average of the lower and upper class boundaries:

Class 0-9: Midpoint = (0 + 9) / 2 = 4.5

Class 10-19: Midpoint = (10 + 19) / 2 = 14.5

Class 20-29: Midpoint = (20 + 29) / 2 = 24.5

Now we can find the sum of the product of each midpoint and its frequency:

(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182

Finally, we divide this sum by the total frequency (76) to find the mean:

1182 / 76 = 15.552632

So the mean of the given data set is approximately 15.55.

Answer:

Look at the attachment

________________________________

Hey!!

Solution,

-6(3-m+n)

= -18+6m-6n

= 6m-6n-18

hope it helps....

Good luck on your assignment

______________________________

Answer:

[tex]= 6m + 6n - 18 \\ [/tex]

Step-by-step explanation:

[tex] - 6(3 - m + n) \\ = - 18 + 6m + 6n \\ = 6m + 6n - 18[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

D

Step-by-step explanation:

2 x 4 = 8

8 x 2 = 16

4 x 9 = 36

36 x 2 = 72

9 x 2 = 18

18 x 2 = 36

16 + 72 + 36 = 124

124 = D

Answer:

40.01 lb

Step-by-step explanation:

mean:

(45.5+61+37.2+16.34)/4

160.04/4

40.01

Answer:

40.01

Step-by-step explanation:

First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer

Answer:

[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]

[tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]

[tex]csc(x)=2[/tex]

[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

(I'll just use x for ease of writing)

We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]

[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]

Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.

[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]

[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

y=3/2x-2

Step-by-step explanation:

gradient line 1= -2/3

perpendicular meaning gradients when multiplied should be -1

gradient line 2=3/2

y+2=3/2

x-0

y+2=3/2(x-0)

y+2=3/2x-0

y=3/2x-2

The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)

The standard equation of a line is y = mx+c, where m is the slope of the line.

We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,

Therefore, the slope of the asked line is 3/2.

Finding the c,

-2 = 3/2X0 + c

c = -2

Therefore, the equation will be,

y = 3x/2-2

Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2

For more references on slope, click;

https://brainly.com/question/3605446

#SPJ2

Answer:

No.

Step-by-step explanation:

No. 5 - 4.2 = 0.8

Answer: 8 is wrong because a number gets smaller, not larger, when you take 4.2 from it.

I hope this helps :)

Answer:

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

Answer: 19.723083

Step-by-step explanation:

Answer:

.4666...

Step-by-step explanation:

What you do:

Too convert 7/15 to a decimal you need too divide it.

7/15 = 0.466666667 So its a repeating decimal.

There are two things you can do, either add a bar to the decimal to show its repeating or round it up like this: 0.467 or 0.47

                                                            ^ that is more accurate.

Have a good day! :)

Answer: 2.1%

Step-by-step explanation:

r = n [(A/P)^1/nt - 1

Answer:

7/48

Step-by-step explanation:

there are 48 in total

there are 7 white females

7/48

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

Rotation

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then the graph of f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) has been shifted 4 units left and 3 units down, thus

g(x) = (x + 4)² - 3 → A

Answer:

3. 16a+24b

Step-by-step explanation:

I know this because I grouped the eqatiobs together

Answer:

#3. 16a + 24b

Step-by-step explanation:

P= 2( length plus width).

Answer:

29

Step-by-step explanation:

2s-15=h

2(22)-15=h

44-15=h

29=h

Answer:

29

Step-by-step explanation:

22 multiplied by 2 is equal to 44. Subtract 15 from 44 and you get 29.

Answer:

30 ft

Step-by-step explanation:

We have a right triangle.

Hypotenuse = c = 50 ft

Leg  #1 = a = 40 ft

Leg#2 = b = ?

We need to use Pythagorean Theorem

c² = a² + b²

50² = 40² + b²

b² = 2500 -1600 = 900

b = 30

Answer:

11

Step-by-step explanation:

11