What is the volume of the rectangular pyramid shown below?
9 in.
8 in.
7
in.​

Answer:

397

Step-by-step explanation:

67 + 90 + (40 x 6)

PEMDAS

Parentheses first

67 + 90 + 240

Then add

157+240

397

x² + 2x + y² + 4y = 20

We complete the square in both x and y.  For each we  add half the linear coefficient, squared.  So (2/2)²=1 for x and (4/2)²=4 for y.  We add them to both sides to keep the equation the same.

x² + 2x  + 1   + y² + 4y + 4  = 20 + 1 + 4

Now the left side is the sum of squares and the right side is the squared radius.

(x + 1)² + (y + 2)² = 5²

Standard form is (x-p)² + (y-q)² = r² for center (p,q) and radius r.  Note the minus signs.

We read off the answer:

Answer: Center (-1, -2), radius 5.

Answer:

The area of the trapozoid would be 192 inches.

Step-by-step explanation:

Here are the steps on how to find the area of a trapozoid.

I hope I helped

brainliest would be appreciated.

Answer:

can u explain it more lol

Step-by-step explanation:

1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

Thomas has 1 blue shirt

Thomas has 1 green shirt

Thomas has 1 blue hat

Thomas has 1 green scarf

Thomas has 1 blue pair of pants

Thomas has 1 green pair of pants

So, number of blue garments = 3

Number of shirts = 2

Total garments =6

Probability is the measure of the likelihood of an occurrence.

P(event) = Favorable outcomes / Total outcomes

P(blue garment) = 3/6 =1/2

P(shirt) = 2/6 =1/3

Hence, 1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

To get more about probability visit:

https://brainly.com/question/24756209

Answer:

Step-by-step explanation:

Diameter is 7cm

radius is diameter/2 = 7cm/2 = 3.5cm

Answer:

[tex]diameter = 7 \: \: cm \\ radius = 3.5 \: \: cm[/tex]

Step-by-step explanation:

[tex]d = 7 \: \: cm[/tex]

[tex]r = \frac{d}{2} \\ r = \frac{7}{2} \\ r = 3.5cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]14x+5y=-5\\2x-5y=-5[/tex]

Step-by-step explanation:

The given equations are

[tex]2x-5y=-5\\11x-5y=15\\9x+5y=5\\14x+5y=-5[/tex]

Let's demontrate that the system

[tex]14x+5y=-5\\2x-5y=-5[/tex]

Has (-0.6, 0.8) as solution, approximately.

If we sum those equations, we have

[tex]16x=-10\\x=\frac{-10}{16} \approx -0.625[/tex]

Then, we use this value to find the other one

[tex]2x-5y=-5\\2(-0.625)-5y=-5\\-5y=-5+1.25\\y=\frac{-3.75}{-5} \approx 0.75[/tex]

As you can see, the answers aproximates to (-0.6, 0.8).

Therefore, the right system is

[tex]14x+5y=-5\\2x-5y=-5[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Lower quartile=46

Upper Quartile=52

Median=48

Step-by-step explanation:

Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot  (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.

Answer:

C

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula.

The point slope formula is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

where m is the slope, and (x1, y1) is the point given.

We know that the slope is -3, and the point given is (10, -1)

Therefore, our m is -3, x1 is 10, and y1 is -1.

y- -1 = -3(x-10)

y--1 is the same as y+1

y+1= -3(x-10)

Therefore, choice C is correct.

Answer:

The line is quadrants 1 2 and 3

Step-by-step explanation:

remember top right is 1

top left is 2

and  bottom left is 3

Answer:

X= -45

Step-by-step explanation:

Subract 23 from both sides to solve for x.

Answer:

x = -45

Step-by-step explanation:

x + 23 = -22

x = -22-23

x = -45

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.

Answer:

26 and 31

Step-by-step explanation:

The square root of 26 is between 5 and 6, and so is the square root of 31.

Answer:

Take the chicken across, and come back, then take the corn across, and come back with the chicken. Then take the fox across and come back. Then take the chicken across!

Step-by-step explanation:

Mark at brainliest if this helps please

Answer:

Well, first you can make the girl take the chicken across the river, leaving the fox with the bag of corn since there will be no harm. Then, she should leave the chicken on the far side and row back across the river. Then she should take the fox across the river. Once she reaches the other side he drops off the fox,however, takes the chicken with her and rows back. Next, she drops off the chicken on the starting side and takes the bag of corn across the river. She then leaves the fox and the bag of corn together and rows back to pick up the chicken, which completes the crossing. Hope it helped!

Step-by-step explanation:

Answer:

The picture doesn't pop up.

Step-by-step explanation:

Answer:

D. 6.71 units

Step-by-step explanation:

In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here, we have (0, 0) and (6, 3), so:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71

The answer is thus D.

Answer:

D 6.71 units

Step-by-step explanation:

AB² = (6 - 0)² + (3 - 0)²

AB² = 36 + 9

AB² = 45

AB = 3sqrt(5)

Approximately 6.71

Answer: Cos13= 9/x  x is about 9.2

Step-by-step explanation:   cos13 =about .97 9/9.2=.97

Answer:

1 / 1296

Step-by-step explanation:

Rolling a 1 for one of the cubes is 1 / 6

1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296

Answer:

1 / 1296

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.

We know the probability of rolling a 4 on one cube will be .  the probability of rolling 4 in each of the individual cubes will be .

But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is  which simplifies to . 1 / 1296

Hope this helps

Answer:

45 goals

Step-by-step explanation:

You have the fraction 24/8

After you simplify it you get 3/1 (that’s the percentage of goals/games)

Supposing goals = x,

x/15 = 3/1

x= 45 goals

Answer:

D) 20,800,000

Step-by-step explanation:

Answer:

Part A:

Formula for circumference: C = diameter x pi

=> pi = C/diameter

=> pi(A) = 12.56/4 =3.14

=> pi(B) = 6.28/2 = 3.14

Part B:

Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi

=> pi = A/(diameter/2)^2

=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14

=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14

Part C:

pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.

=> pi is a constant value: 3.14

Answer:

A) pi = 3.14

B) pi = 3.14

C) pi has the same value for all calculations, pi is a constant

Step-by-step explanation:

Circumference = pi × d

12.56 = 4 × pi

pi = 3.14

6.28 = 2 × pi

pi = 3.14

Area = pi × r²

12.56 = pi × (4/2)²

12.56 = 4pi

pi = 3.14

3.14 = pi × (2/2)²

3.14 = pi

Answer:

Pretty sure its A

Step-by-step explanation:

wait hold on im wrong

how do you delete an answer

Answer:  Region I and III

Step-by-step explanation:

The Union includes all the members of set A and set B

Region II is also part of that union, but alone, Region II is the intersection.

Answer:

CCCC IDK the type of vehicle but its c

Step-by-step explanation:

43.2+ 4 x 2.8 + (4.4 x 4 x 1/2) = 63.2

Please! I need brainliest

Answer:

k = -1

Step-by-step explanation: 6-4 = k-3k

subtract: 2 = -2k

divide both sides by -2: k = -1

simplifying is easy! we simply add or subtract like terms on each side.

6-4=2

1-3=-2 and then add k which is the variable so -2k

The equation would be 2=-2k and then we can divide both sides by -2 to isolate the variable to get -1=k

Answer:

D

Step-by-step explanation:

A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.

Answer: You could plot the points  (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)

Step-by-step explanation:

y= 2x - 2

x      y

0    -2

1       0

2      2

3        4

4        6

5          8

-1        -4

-2            -6

Answer:

23

Step-by-step explanation:

Simplify the following:

(-66)/(-3) - 4 - -5

The gcd of -66 and -3 is -3, so (-66)/(-3) = (-3×22)/(-3×1) = (-3)/(-3)×22 = 22:

22 - 4 - -5

-(-5) = 5:

22 - 4 + 5

22 + 5 = 27:

27 - 4

| 2 | 7

- | | 4

| 2 | 3:

Answer:  23

Answer:

86

Step-by-step explanation:

the radius of one circle is 5. the area of a circle is pi x r^2. 5 times 5 is 25. 25 times 3.14 is 78.5. since there are 4 circles, you must multiply 78.5 by 4, which is 314. Next, find the area of the square. 20 times 20 is 400. to find the area of the shaded part, subtract 314 from 400. The answer is 86.

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

Answer:

54[tex]x^{2}[/tex] +33x - 10

Step-by-step explanation:

you have to use F.O.I.L.  First Outter Inner Last

(6x + 5)(9x - 2)

First (6x)(9x)         = 54 [tex]x^{2}[/tex]

Outter (6x)(-2)      = -12x

Inner (5)(9x)         = 45 x

Last (5)(-2)            = -10

combine middle terms

54[tex]x^{2}[/tex] +33x - 10

Answer:

 x^(3)y^(4)\sqrt(2)

Step-by-step explanation: