A candle is a square prism. The candle is 15 centimeters high, and its volumeis 960 cubic centimeters.
a)Find the length of each side of the square base.
b) 0Find the surface area of the candle

#10.

If the two triangles are similar, then their sides are proportional.

EC we know immediately. If the whole side BC = 12 = BE + EC, and BE is 4, then EC = 8.

Therefore, I can say that BD / (BD + DA) = BE / (BE + EC). To solve the problem for side DA, x will be used in place of DA.

8 / (8 + x) = 4 / (4 + 8)

8 / (8 + x) = 4 / 12 || Cross-multiply

4(8 + x) = 12 * 8

32 + 4x = 96

4x = 64

x = 16

AD = 16

Then, if we know AD, we can easily find AB. AB = AD + DB. AB = 24.

Lastly, we need to find AC. All of the other lengths on the big triangle have been double that of the smaller triangle, so 6 x 2 = 12. AC = 12.

#11.

BC will be parallel to DE if the proportions are equal.

AE / AB = AD / AC

1 / 5 = 2 / 11

These fractions are not equivalent, therefore BC and DE are not parallel.

Hope this helps!! :)

Answer:

32 miles

Step-by-step explanation:

Answer:

A is 1/2 and the answer for B is 2/3

Answer: I believe that this is the answer

Answer:

Independent- Miles traveled, Dependent- cost

Step-by-step explanation:

3dg3nuity

Answer:

I did it :D

Step-by-step explanation:

Answer:

What do you mean??

Answer:

7:1 for length and 7:1 for width

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

(23 * 5) represents the total number of 6th graders.

-s represents the number of students who were absent.

(23 * 5) - s represents the number of students in the museum.

Answer:

I think no A. x = -1/2 ,x = -4

Answer:

28/45

Step-by-step explanation:

tan = opp/adj

tanE = 28/45

Answer:

the answer is D. 36 fans in total minus 15 fans that rooted for the rams. Equals the amount of fans that rooted for the Patriots

Answer:

6. 477.5

7. 498.1

8. 452.4

Step-by-step explanation:

Answer:

y = 9.8995

Step-by-step explanation:

This question requires the use of basic trigonometry.

In this problem, we know one of the sides and two of the angles.

Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.

You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.

7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.

Hope this helped!

Answer:

x=5 and y=6

Step-by-step explanation:

Step: Solve 3x−7y=−27 for x:

3x−7y=−27

3x−7y+7y=−27+7y

3x=7y−27

[tex]\frac{3x}{3} =\frac{7y-27}{3}[/tex]

[tex]x=\frac{7}{3} y-9[/tex]

Step: Substitute   [tex]\frac{7}{3}y-9[/tex] for x in 6x−5y=0:

6x−5y=0

[tex]6(\frac{7}{3}-9)-5y=0[/tex]

9y−54=0

9y−54+54=0+54

9y=54

[tex]\frac{9y}{9} =\frac{54}{9}[/tex]

Therefore y=6.

Step: Substitute 6 for y in x= [tex]\frac{7}{3} y-9[/tex]:

[tex]x=\frac{7}{3} y-9[/tex]

[tex]x=\frac{7}{3}(6)-9[/tex]

Therefore x= 5.

x= 5 and y= 6

Hope this helped! :)

Answer:

answer in pic

Step-by-step explanation:

The proof of the right-triangle is: [tex]a^{2} + b^{2}=(c)^{2}\\[/tex].

To prove that [tex]a^{2} + b^{2}=(c)^{2}\\[/tex].

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

[tex]a^{2} + b^{2}=(c)^{2}\\[/tex]

Given that:

To proof:

The proof of the right-triangle is:

[tex]a^{2} + b^{2}=(c)^{2}[/tex]

from question it is given that

c=e +f

By Pythagoras theorem, we have:

[tex]a^{2} + b^{2}=(f+ e)^{2}[/tex]

Therefore, the proof of the right-triangle is:

[tex]a^{2} + b^{2}=(c)^{2}\\[/tex]

Learn more about Pythagorean Triple here:

https://brainly.com/question/24161728

#SPJ5

Step-by-step explanation:

where are the 2 functions ?

Answer:

A diameter is a chord.

Step-by-step explanation:

A diameter is a chord.It is the longest chord.

Answer:

$10.50

Step-by-step explanation:

First, find the cost of a pound of nuts.

Divide the price by the number of pounds:

60/4

= 15

Calculate the price with the 30% discount by multiplying this by 0.7:

15(0.7)

= 10.5

So, after the discount, a pound of nuts will cost $10.50

Answer:

protractor

Step-by-step explanation:

use a protractor or  an online protractor

Answer:

Convert

r

=

8

cos

θ

−

2

sin

θ

to Cartesian form

#x^2 + y^2 - 8 x +2 y = 0, using

r

=

√

x

2

+

y

2

≥

0

and

(

x

,

y

)

=

r

(

cos

θ

,

sin

θ

)

.

The Socratic graph of this circle,

with center at

(

4

,

−

1

)

and radius

√

17

.

is immediate.

graph{(x^2+y^2-8x+2y)((x-4)^2+(y+1)^2-0.04)=0[-1 23 -6 6] }

Answer:

A.m = -3

Step-by-step explanation:

This equation is written in point slope form

y-y1 = m(x-x1)

y +2 = -3(x – 7)

y - -2 = -3(x – 7)

The slope is -3 and the point is (7, -2)

Answer:

33.51032

Step-by-step explanation:

Because equation is 3/4 times r to the 3 power times pi

2 to the 3 power=8

8 times 3/4=32/3

32/3 times pi = 33.51032

Answer:

V= 33.510 m³

Step-by-step explanation:

= =

4 4

3 3

n n ( pi)

r 2 =

V3 4 33.51032 m³

I didn't get to round it.

Answer:

option b is answer answer

Answer:

its B

Step-by-step explanation:

Answer:

4x+7x-9=90

11x-9+9=90+9

11x=99

x =9

measure of CBD=7x-9

=54

Answer:

Step-by-step explanation:

7x-9+4x=90 degree ( being perpendicular)

11x=90+9

x=99/11

x=9

Angle CBD=7x-9

=7*9-9

=63-9

=54 degree

Answer:

A does, that is the only one that makes sense :)

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

if x has 2 values of y in a graph then that graph is no function

Answer:

68%

Step-by-step explanation:

25-8=17

17/25=0.68

68%

Hope this helped :)

Answer:

-42

Step-by-step explanation:

The big dog means multiply and 6*-7 equals -42 100% sure