Perimeter, Area, and Volume
What is the volume of a
rectangular prism that has a
height of 6 inches, a length
of 2 inches, and a width of 7
inches?

Answer: 23 cm

Step-by-step explanation:

Given

[tex]a=3.5\ cm\\b=9.4\ cm[/tex]

Triangle in the figure is right-angled triangle. Therefore, Pythagoras theorem can be applied. Suppose the unknow length of the triangle is x

[tex]\Rightarrow x^2=a^2+b^2\\\Rightarrow x^2=3.5^2+9.4^2\\\Rightarrow x^2=12.25+88.36\\\Rightarrow x^2=100.61\\\Rightarrow x=10.03\ cm[/tex]

The perimeter of triangle is the sum of the lengths of sides.

[tex]\text{Perimeter }P=3.5+9.4+10.03\\\Rightarrow P=22.93\ cm\approx 23\ cm[/tex]

Answer:

75 gallons

Step-by-step explanation:

285/ 3.8= 75

so the the answer is 75

Answer:

60x^15y^5

Step-by-step explanation:

60x to the power of 15 times y to the power of 5

Hope this helps!

Answer:

answer is d

Step-by-step explanation:

hope it helps!!!

Answer:

412.5

Step-by-step explanation:

If 1cm = 125 miles, then 3.3cm = 412.5

Answer:

(-3,-5)

Step-by-step explanation:

Quadrant III is on the bottom left corner.

Answer: The answer is B,C, and D

Step-by-step explanation:

Answer:

[tex]y=-2x-15[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex].

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] which is the difference between the y-coordinates divided by the difference between the x-coordinates.

So: [tex]\frac{dy}{dx} =\frac{-9-(-3)}{-3-(-6)} =\frac{-6}{3} =-2[/tex]. Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant [tex]b[/tex].

[tex]-9=-2(-3)+b[/tex]

[tex]b=-15[/tex] - Re-arranging to get b

Now re-write the equation as we have the constants.

[tex]y=-2x-15[/tex]

Answer:

C.

If Carlos doesn’t study at all, his grade will be 50%.

Step-by-step explanation:

If Carlos doesn’t study at all, his grade will be 50%.

Check Answer

Correct. If Carlos spends 0 hours studying, his grade will be 50%.

The percentage increase from the initial population of 397,000 to 412,880 is 4%

From the question, we have the following numbers:

397,000 and 412,880.

The numbers are increments from 397,000 to 412,880.

The percentage increase is calculated as:

%Percentage = (Old number - New number)/Old Number

Substitute the numbers in the above equation

%Percentage = (412880 - 397000)/397000

Evaluate the difference

%Percentage = 15880/397000

Evaluate the quotient

%Percentage = 0.04

Express 0.04 as percentage

%Percentage = 4%

Hence, the percentage increase from the initial population of 397,000 to 412,880 is 4%

Read more about percentage increase at:

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Answer:

20

Step-by-step explanation:

volume: lwh

.666*5*6=20

Answer:

20 cm³

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] · 6 · 5

[tex]\frac{2}{3}[/tex] · 30

20 cm³

Answer:

I think 3.

Step-by-step explanation:

You make a right triangle, an isosceles, and a scalene. You can't make an equilateral, because those sidelengths are not the same size.

Answer:

Step-by-step explanation:

make the other half of the triangle on top one and then you make another triangle out of the bottom one and make the other half so you just want to put  a line from one line on the right side to the bottom line so then you just need  do the same thing on the left side

Answer: 38/9

Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).

Answer: X<Y, X>0

Because -4 is less than 0 and -4 is greater than 0

Answer:

Hey, read below!! :)

Step-by-step explanation:

Both sides are the same length. X = 70

Answer:(1,2)

Step-by-step explanation:

The image of point P = (2, -1) is (1, 2)

For given question,

We have been given a point P = (2, -1)

We know that if point (x, y) is rotated 90 degrees counterclockwise about the origin then the coordinates of image is (-y, x)

So, when point P is rotated 90 degrees counterclockwise about the origin then the coordinates of the image would be (-(-1), 2) = (1, 2)

Therefore, the image of point P is (1, 2)

Learn more about the rotation transformation here:

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Answer:

well the shape is same but the measurements are different

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It catches fire at or above. so greater than or equal to. so D

Answer:

It is a quadrilateral! Note the four sides, angles, and vertices.

Step-by-step explanation:

Answer:epression could be used to represent 2/3

1/2

1/3

1/3

Answer:

It is C

Step-by-step explanation:

Answer:

314.2

Step-by-step explanation:

Circumference of a circle is π[tex]r{2}[/tex]

so 3.142 × [tex]10{2}[/tex]=314.2

Answer:

circumference of the circle=2πr

=2×3.142×10

=62.84 cm

Answer:

The third one, 2c - 6

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

By intersecting chords theorem:

[tex]12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4[/tex]

Answer:

Sorry, I don't speak confusion.

Step-by-step explanation:

Answer:

x=9/80

Step-by-step explanation:

Answer:

9/80

Step-by-step explanation:

[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]

[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]

[tex]5)\ x = \frac{9}{80}[/tex]

Question:

A boat is travelling at 30 mph has  a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.

a) Draw a labelled diagram of the situation

b) Determine the angle of elevation of the parasail rider

c) Parasailing boats traveling at the same speed will have the same angle of elevation

Answer:

a) Please find the attached drawing of the parasail boat created with MS Visio

b) The angle of elevation of the parasail rider from the boat is approximately 48.6°

Step-by-step explanation:

a) Please find the labelled diagram of the parasailing boat created with MS Visio

b) sing trigonometric ratios, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

The opposite leg = The height of the parasail rider above water = 300 ft.

The hypotenuse = the length of the tow line = 400 ft.

θ = The angle of elevation of the parasail rider

[tex]\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75[/tex]

θ = Arctan(0.75) ≈ 48.6°

The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°

c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,

Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same