What would be the volume of this solid if the height were halved and the other dimensions were reduced proportionally? Round to the nearest whole number.
The image?is of a?parallelogram prism standing on its face and making an angle of 60 degrees with horizontal. The dimension of prism is 3 cm by 4cm by 10 cm.

Answer:

16

Step-by-step explanation:

The run is the amount in the x direction

-8 to 8 = 16 units

(8- - 8) = 8+8 = 16

The run is 16

Answer:

158 degrees

Step-by-step explanation:

Step 1:

Let Angle CDE =y

Since Angle BCD = 2 X angle CDE

Angle BCD = 2y

Step 2

Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.

By these properties of Isosceles Trapezoids

Therefore:

[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]

123+2y+y=360

3y=360-123

3y=237

y=79 degrees

Therefore:

[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]

Question

Which algebraic expression has like terms?

[tex]9n^3 - 2n + 3 - 4n^2[/tex]

[tex]7n^3 + 3n - 3 - 6n^2[/tex]

[tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]

[tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]

Answer:

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]

B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

Step-by-step explanation:

Given:

The above expressions

Required:

Expressions with like terms

Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;

Like terms are dependent on the exponents and are independent on the sign of each terms.

Listing out the exponents of each options;

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]

The exponents of n are 3 1 0 2

Rearrange: 0 1 2 3

B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

The exponents of n are 3 1 0 2

Rearrange: 0 1 2 3

C. [tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]

The exponents of n are 3 1 3 2

Rearrange: 1 2 3 3

D. [tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]

The exponents of n are 3 4 1 2

Rearrange: 1 2 3 4

From the list of exponents above, only A and B are equal;

Hence, the following expressions have the like terms

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex] and B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

Answer:

Hey!

Your answer is Y=-5x-6

Step-by-step explanation:

Using the formula y=mx+c...

m=slope c=y-intercept

The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)

The m is the slope do we write the slope value (-5)

Which forms y=-5x-6

HOPE THIS HELPS!!

Answer: Sandy.

Step-by-step explanation:

Elaine has 16 tablespoons of lemonade, and uses 2 per glass.

then she can make 16/2 = 8 glasses of lemonade.

Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,

then she can make 18/3 = 6 glasses of lemonade.

Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.

I suppose as many as we care to, but they're all congruent. We're given two angles and an included side.   ASA, angle side angle, is a theorem that yields congruent triangles.

Answer: 1

Answer: you can draw as many as you want, but they will all be congruent. So actually only one. It's the ASA theorem to prove congruence.

Step-by-step explanation:

Answer :

A. 368 ft²

Step by step

[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]

Answer:

386 ft :)

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Substitute (2,12) into the second equation.

4(2) - (12) = 0

8 - 12 = 0

-4 = 0

This statement is false.

Answer:

x=14

Step-by-step explanation:

subtract 10 on both sides

24-10=14

x=14

Answer:

x = 14

Step-by-step explanation:

10 + x = 24

-10

x=14

( You subtract 10 from both sides. 24-10 =14. Therefore x =14

Answer:

h<0

Step-by-step explanation:

75+125h ≤ 750

h≤ 8.333

for negative values of h the inequality will not hold true

Answer:

meee tooo

Step-by-step explanation:

helpplppppppp

Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.

  9) All points with a y-coordinate of 0 will always lie on the x axis.

Step-by-step explanation:

Answer:

the answer is  7.75 g/cm3

Step-by-step explanation:

hope this helps

The density of the given block of stainless steel is 7.75 g/cubic cm. The value is obtained by the ratio of its mass to its volume.

The cuboid has rectangular faces with length(l), width(w), and height(h). So, the density of the material which is required to make the cuboid is calculated as follows:

Density = mass/volume

Where the volume of the cuboid is the product of length, width, and height.

I.e., Density = mass/ (l × w × h)

The given block has

length(l) = 8cm

width(w) = 5cm

height(h) = 3cm

The mass of the block is given as 930g

So, the density of the stainless steel is

Density = 930g/(8 × 5 × 3) cm³

            = 930/120 (g/cm³)

            = 7.75 g/cm³

Therefore, the density of the block is 7.75 g/cubic cm.

Learn more about the density here:

https://brainly.com/question/21087073

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Answer:

2049.2

Step-by-step explanation:

512.3÷ 0.25​= 2049.2

You can use a calculator... (or long division.)

Answer:

2,049.2

Step-by-step explanation:

Hope this helped!

o(*^▽^*)┛

Answer:

$51.94

Step-by-step explanation:

Answer:

From the CENTER, it would be radius of the circle

Step-by-step explanation:

Stretching across the entire circle is diameter, while from the center is radius.

Answer:

18 golf balls in all, 1/18 is the answer

Step-by-step explanation:

Answer:

1. 18

2. {blue, magenta, purple}

3. P(blue) = 1/2

P(magenta) = 7/18

P(purple) = 1/9

Step-by-step explanation:

Total balls:

9 + 7 + 2 = 18

Sample space: all possible outcomes

{blue, magenta, purple}

P(blue) = 9/18 = 1/2

P(magenta) = 7/18

P(purple) = 2/18 = 1/9

Answer:

The measure of a circumscribed angle is equal to 180° minus the measure of the central angle that intercepts the same arc. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Step-by-step explanation:

Answer:

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Step-by-step explanation:

From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Answer:

y= 2x - 3

Step-by-step explanation:

slope intercept form:  y= mx + b

Answer:

y= 2x-3

Step-by-step explanation:

2x-y+5=8

-y= 8-2x-5

-y=-2x+3

-1(-y=-2x+3)

= y= 2x-3

Answer:

144 Inches cubed

Step-by-step explanation:

8 × 6 × 6 = 288.

288 / 2 = 144.

you multiply to get the original volume then divide by 2 because the tank is only half full.

Answer:

d

Step-by-step explanation:

i said

Answer:

The answer is all real numbers.

Step-by-step explanation:

I just took it and got a 100 on EDG 2020.

Answer:

It's D - all real numbers

Step-by-step explanation:

on edge 2021

Answer:

Radius= 7cm

Diameter= 14cm

Step-by-step explanation:

Hope it Helped!!

Answer:

Angle CED

Step-by-step explanation:

They are opposite to each other in the X they make.

Answer:435

Step-by-step explanation:

Answer:D

between 3 and 4

I got it right in khan!

Step-by-step explanation:

The required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
As of the given conditions,
1 person can eat 3/4 of box in one week
There are 5 persons in the family,
Total box of cereal that can be eaten = 5(3/4)
= 15/4
= 3 3/4

Thus, the required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

Learn more about simplification here:

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Answer:

Volume of the given cone is 1107.6 cubic feet.

Step-by-step explanation:

Formula to get the volume of a right circular cone is,

V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

Now we put the values in the given formula

Volume = [tex]\frac{1}{3}\pi (8.6)^2(14.3)[/tex]  [ radius = [tex]\frac{17.2}{2}=8.6[/tex] ]

             = [tex]\frac{1057.628\pi }{3}[/tex]

             = 1107.55

             ≈ 1107.6 cubic feet

Therefore, volume of the given cone is 1107.6 cubic feet.

Answer:

146.6 ft3

Step-by-step explanation:

Answer:

192cm²

Step-by-step explanation:

If you cut the shape into 2 and you do 8×8 which is 64cm²

Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²

Answer:

here's the answer and proof in the image below

Step-by-step explanation:

Answer:

Straight angles are all 180 degrees, so it must be an equation that equals 180. I hope that this helps! be saffffeee!

Answer:

140 x 180

Step-by-step explanation:

Answer: 0.22 plates

Step-by-step explanation:

Given that The recipe calls for 23 cup of cheese for each plate of nachos

1 plate = 23 cups

X plate = 5 cups

Cross multiply

5 = 23x

Make the x the subject of formula

X = 5/23

X = 0.22

Or 5/23 plate

Answer:

Circle 1 = 24 pi in² = 452.2 in²

Circle 2 = 706.5 in²

Circle 3 = 271.6 in²

Step-by-step explanation:

In order to find the Diameter of a circle, you have to multiply the radius by 2. According to circle 1, 12in (radius) multiplied by 2 gets you 24 pi in².

In order to find the area, you multiply the radius² and then multiply it by pi or 3.14.

Is green the circumference or the diameter??? Had a little bit of confusion in that part, but I gave you the area only for Circle 2 and 3. For circle 1 I found the diameter (24 pi in²) and the area.