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2 years ago

Which statements are true about the figure? Check all that apply.

Mathematics

1 answer:

Illusion [34]2 years ago

3 0

Answer:

Step-by-step explanation:

The figure is a triangular prism.

The figure has 6 vertices.

The figure had 9 edges.

Vertex: The meeting point of two edges is called vertex

Edge: The meeting point of two faces is called an edge.

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Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

Find the value of y

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

Find the values of x

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

(3 x 10-8exopet -8 )(3 x 10exponet9)

valina [46]

Answer:

=66.501505not9x21−1310.355601no2pt10x12−177.337346not9x11

Step-by-step explanation:

8 0

2 years ago

Add 2 to both sides of the equation.

qwelly [4]

Answer:

See below.

Step-by-step explanation:

Adding 2 to both sides will not help solve the equation.

Adding 2 to both sides gives you this:

x^3 = ∛(x-2)

x^3 + 2 =∛(x-2) + 2

What was the original question?

4 0

2 years ago

Ms. Yung bought 18.5 pounds of candy to make treat bags for Halloween. If she plans on putting 0.2 pounds of candy in each bag,

laiz [17]

Answer:

92 treat bags

Step-by-step explanation:

In order to calculate the total amount of treat bags that Ms. Yung can make we would simply need to divide the weight of each bag's candy by the total weight of candy that Ms. Yung has. This would evenly divide the total amount of candy into as many bags as possible.

18.5 lbs. / 0.2lbs = 92.5 bags

Therefore, if we divide evenly Ms. Yung would be able to make a total of 92 treat bags because even though she has for half a bag left it would not be an entire treat bag like she wants.

7 0

3 years ago

the width of a rectangle is 6 2/3. the length of the rectangle is twice its width. what is the perimeter of the rectangle?

melamori03 [73]

Answer:

The perimeter is 40 units.

Step-by-step explanation:

First multiply the width by 2

6 2/3 * 2 = 13 1/3

Now take two 6 2/3 and two 13 1/3 an add them

6 2/3 + 6 2/3 + 13 1/3 + 13 1/3

= 40

Hope this helps you :3

5 0

2 years ago