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bagirrra123 [75]

3 years ago

15

What is the volume of this prism

2 answers:

posledela3 years ago

5 0

The volume of this prism =30

tensa zangetsu [6.8K]3 years ago

4 0

Answer:

The volume of this Prism is 30.

Step-by-step explanation:

Multiply the bases measurements together first. 3 x 10 = 30

Divide the base and height by 2. 30 / 2 = 15

Multiply the base area times the height. 15 x 2 = 30

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

What is the area of the composite figure?

Liula [17]

I cant see one of the numbers

8 0

3 years ago

Natasha has 13 apples some apples are red and some are green she has more red apples than green apples how many red apples and h

shusha [124]

Answers may vary here are all the possible answers:

(R) = red
(G)= green
12 (R) 1 (G)
11 (R) 2 (G)
10 (R) 3 (G)
9 (R) 4 (G)
8 (R) 5 (G)
7 (R) 6 (G)

3 0

3 years ago

Use the method of completing the square to write the equation of the given parabola in this form:

Fudgin [204]

This is a very challenging equation but I'll try my best!

<span>y-k=a(x-h)^2
$Vertex(1,1) ----\ \textgreater \ y-1=a(x-1)^2 
contains~ the ~point (0,-3) 

----\ \textgreater \ 1-1=a(0-,-3)^2 

----\ \textgreater \ 1=-2a 

----\ \textgreater \ a=1/-2

Equation: Y-1=1/-2(x-2)^2$
</span>

4 0

3 years ago

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Ilia_Sergeevich [38]

we know that

<u>Unit Rate</u> is the ratio of two measurements in which the second term is one

so

to find the unit rate divide $(5/8)$ by $(1/4)$

$Unit\ rate=\frac{(5/8)}{(1/4)}= \frac{5}{8}*4= \frac{2.5}{1} =2.5 \frac{ft^{2}}{hour}$

therefore

<u>the answer is</u>

The unit rate is $2.5 \frac{ft^{2}}{hour}$

4 0

3 years ago