These prisms are similar. Find the volume of the larger prism in decimal form. Ratio 5:7. Volume of smaller Prism is 50 m3

Mathematics

1 answer:

lord [1]3 years ago

6 0

Answer:

137.2 m³

Step-by-step explanation:

The ratio of volumes is the cube of the ratio of linear dimensions. The larger volume is ...

... V = (7/5)³ × 50 m³ = 2.744 × 50 m³

... V = 137.2 m³

Read more on Slope of a graph:

brainly.com/question/19376563

8 0

3 years ago

1.75x+1.25y=2<br> 7x+5y=9<br> how many solutions does this system of equations have?

Zepler [3.9K]

Answer:

Step-by-step explanation:

1.75x+1.25y=2 Multiply this equation by 4

7x + 5y = 8

7x+5y=9

As you can see, the xs and ys have the same coefficient. These lines are parallel. There are NO solutions. Just to show you that, here is a graph.

6 0

3 years ago

Jane is planning to put a new fence around her flower garden. She wants to change the shape, but doesn't want to change the amou

ANEK [815]

Answer:

The answer is below

Step-by-step explanation:

Let us assume that the length of the square be x. Therefore the area of the square is given as:

Area of square = length × length = x × x = x²

Given that the length of one side of the rectangle is twice the length of the other side. Let the length of the small side be a therefore the length of the long side = 2a

The area of the rectangle = length of small side × length of long side = a × 2a = 2a²

Since both the rectangle and square are to occupy the same space, hence:

$Area\ of\ rectangle=Area\ of \ square\\\\2a^2=x^2\\\\a=\sqrt{\frac{x^2}{2} }\\ \\a=\frac{x}{\sqrt{2} }$

Length of small side = a = $\frac{x}{\sqrt{2} }$ , length of long side = 2a = $\frac{2x}{\sqrt{2} }$

The length of the sides are length of the square side divide by √2 ( $\frac{x}{\sqrt{2} }$ ) and twice the length of the square side divide by √2 ( $\frac{2x}{\sqrt{2} }$ )

6 0

3 years ago

Does anyone know how to do this ?

goldenfox [79]

Answer: D) 32

Step-by-step explanation:

The area of a parallelogram equals its base times its height. Substitute the base and area into this formula to solve for the height:

A=bh

40=(5)(h)

h=8

If ABCD is a parallelogram, opposite sides are parallel, so AB is parallel to DC. If AB is parallel to DC, EB is parallel to DC. Since EB is parallel to DC, quadrilateral EBCD has at least one pair of parallel sides, making it a trapezoid. The area of a trapezoid is equal to $\frac{h(b_{1}+b_{2}) }{2}$ where h is the height, $b_{1}$ is one base, and $b_{2}$ is the other base. Plug the necessary values into the formula: