A triangular prism and a plane cutting a triangular prism is shown which shape represents the cross section formed by the plane

Nastasia [14]

Answer:

3

Step-by-step explanation:

The correct answer is:

3

Explanation

review

△WXY~△GEF.

6

3

6

Y

X

W

2

1

2

F

E

G

What is the similarity ratio of △WXY to △GEF?

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.

solve

Look at the triangles.

6

3

6

Y

X

W

2

1

2

F

E

G

The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is

WX

EG

=

3

1

=3.

4 0

3 years ago

To which real number sets does the number 13 belong?

Crazy boy [7]

13 is a whole number, integer, natural number and rational number. Rational number because it can be written as a fraction like 13/1. It is a whole number because it doesn't have any decimals. It is an integer because an integer is a positive or negative whole number and it is a natural number because a natural number is any positive number greater than 0.

3 0

3 years ago

"a number is less than or equal to 8"

xenn [34]

Answer:

$x \leqslant 8$

7 0

3 years ago

Read 2 more answers

The sum of the squares of two positive integers is 185. If one integer is 3 less than the other, fine the larger integer.

kari74 [83]

Answer:

$\boxed{\sf \ 11 \ }$

Step-by-step explanation:

Hi,

let's note the two integers a and b

$a^2+b^2=185 \ and \\\\a = b - 3$

We are asked to find b

<em>replace a in the first equation</em>

$(b-3)^2+b^2=185\\\\b^2-6b+9+b^2=185\\\\ 2b^2-6b+9-185=0\\\\ 2b^2-6b-176=0\\\\ b^2-3b-88=0\\\\b^2+8b-11b-88=0\\\\b(b+8)-11(b+8)=0\\\\(b-11)(b+8)=0\\\\ b = 11 \ or \ b = -8$

As b must be a positive integer, the solution is 11

Hope this helps

3 0

4 years ago

3. A ball was thrown into the air with an initial velocity of 72 feet per second. The height of the

timurjin [86]

Answer:

A. The maximum heigh is 81 feet

B. The ball will reach the maximum heiight at 2.25 seconds

C. The domain of the function is $t\in [0,4.5]$

D. The range of the function is $h(t)\in [0,81]$

E. 4.5 seconds

Step-by-step explanation:

A ball was thrown into the air with an initial velocity of 72 feet per second. The height of the ball after t seconds is represented by the equation:

$h= -16t^2 + 72t$

The maximum height will be at parabola's vertex. Find it:

$t_v=\dfrac{-b}{2a}\\ \\t_v=-\dfrac{72}{2\cdot (-16)}=\dfrac{72}{32}=\dfrac{9}{4}=2.25\\ \\h(t_v)=-16\cdot t_v^2+72\cdot t_v\\ \\h(2.25)=-16\cdot 2.25^2+72\cdot 2.25=81$

A. The maximum heigh is 81 feet

B. The ball will reach the maximum heiight at 2.25 seconds

C. Find where the parabola intersects the x-axis:

$h=0\Rightarrow -16t^2+72t=0\\ \\t(-16t+72)=0\\ \\t_1=0\ \text{or}\ 16t=72,\ t_2=\dfrac{9}{2}=4.5$

So, the domain of the function is $t\in [0,4.5]$

D. The range of the function is

$h(t)\in [0,81]$

E. The ball is at the air for 4.5 seconds

4 0

4 years ago