Find the surface area of the right triangular prism (above) using its net (below).

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

cos  = adj/ hypotenuse

Cos A = 30 /34

Simplifying

Cos A = 15/17

Answer:

(0,7) and (0, 7/2).

Step-by-step explanation:

lets start with putting 0 instead of x to get the y-intercept:

x = 0, y= -7

and then we put 0 instead of y to get the x-intercept:

Y = 0, 0=2x-7, x = 7/2

we can put the points (0,7) and (0, 7/2).

Answer:

The least common denominator of the two rational expressions is [tex](x+2)^{2}\cdot (x+3)[/tex].

Step-by-step explanation:

Let be the following rational expressions:

[tex]\frac{x^{3}}{x^{2}+4\cdot x + 4}, \frac{-9}{x^{2}+5\cdot x + 6}[/tex]

Then, we factor each denominator:

[tex]\frac{x^{3}}{(x+2)^{2}}, \frac{-9}{(x+3)\cdot (x+2)}[/tex]

Now, we compare each denominator to find all missing binomials so that each expression may have a common denominator:

[tex]\frac{x^{3}}{(x+2)^{2}} \rightarrow (x+3)[/tex]

[tex]\frac{-9}{(x+3)\cdot (x+2)} \rightarrow (x+2)[/tex]

Hence, we conclude that least common denominator of the two rational expressions is [tex](x+2)^{2}\cdot (x+3)[/tex].

Here is my answer. I hope this is helpful.

Answer:

C. x = 1

Step-by-step explanation:

Combine like terms

10 + 2 − 3 = 9

12 − 3 = 9

Add 3 to both sides of the equation

12 − 3 + 3 = 9 + 3

Add the numbers

12 = 9 + 3

12 = 12

[tex]\frac{12x}{12} = \frac{12}{12}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]x = \frac{12}{12}[/tex]

Divide the numbers

x = 1

Therefore the correct answer is C. x = 1

Answer:

C. x = 1

Step-by-step explanation:

Have a great day

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

12.5 miles

Step-by-step explanation:

5/2 inch*5 miles/ i inch= 25/2 miles or 12.5 miles

if my anwer helps please mark as brainliest.

Answer:

1

Step-by-step explanation:

The expression that has a value of 13 is (18 ÷ 2) + 6 ÷ 6 + 3

In order to calculate the expression, we need to use the PEMDAS rule which states:

From the question, we are to get the expression equal to 13.

From the given expression,(18 ÷ 2) + 6 ÷ 6 + 3 is equivalent to 13;

(18 ÷ 2) + 6 ÷ 6 + 3

9 + 6  ÷ 6 + 3

9 + 1 + 3

13

Hence the expression that has a value of 13 is (18 ÷ 2) + 6 ÷ 6 + 3

Learn more on expansion here: https://brainly.com/question/26430239

Answer:

c =2

Step-by-step explanation:

3(c - 12) = -30

divided by 3 on each side

c-12=-10

+12 on each side

c=2

Answer:

It’s B

Step-by-step explanation:

Because the area is 64 and the base is 4, then you would have to divide 64 by 4 to get 16 which is the height!

Answer:

it would be C. h=32 cm

Step-by-step explanation:

the formula for area of a triangle in A=1/2*b*h

so plug what you know into the formula, you know the area, A, and the base, b, so:

64=1/2*(4)*h

now solve what you can:

64=2h

then divide each side by 2 to get h, or the height, alone:

32=h

so, the height is 32 cm!

im sorry if this didnt make sense, but i hope this helped!! :D

283°?

Step-by-step explanation:

360-77=283?

that full whole thing is 360°

Answer:

13

Step-by-step explanation:

ok so angle BGD= 90 vertically opposite angles

angle CGB = 90 ( CGB + CGA = 180 and CGA is 90 so CGB = 180 - 90 = 90)

CGB + BGD = 180

CGB + 90 = 180

Angle EGB = 77 (V.O.A)

NOW angle CGB = 77 + X

so now

CGB + 90 = 180

77 + x + 90 = 180

77 + x = 90

x = 90-77

x= 13

please mark brainliest thx

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer:

£18.06

Step-by-step explanation:

The computation of her pay per hour is shown below:

= Total earnings last year ÷ Total number of hours she worked

= £27,000 ÷ (32.5 hours × 46 weeks)

= £27,000 ÷ 1,495 hours

= £18.06

Answer: 80

Step-by-step explanation:

If you look at the top left and bottom right corner, you see that they are identical, so basically you would do the same to 80.

Well lets see...

Solution 1. The sum of angles of a quadrilateral is 360˚ 100˚+100˚+80˚=280 degrees 360˚-280˚=80˚.

Solution 2. Opposite angles on a parallelogram are equal so x=80˚.

HOPE THIS HELPED!!!!!!!!!!

Answer: 8

Step-by-step explanation:  You can see each time on the graph it goes up by 8. So your answer will be   I hope this helps.

A.

(or c)

Answer:

Y=1x+7

Step-by-step explanation:

y=mx+b

m: slope

b: y axis

Answer:

60g

Step-by-step explanation:

A sample of radioactive element has a mass that weighs 80g

The amount of life spent is two half-lives

This means that after two half lives, the number of daughter materials that would be available in the sample is 60g

Hence 60g of daughter cells would be available after two half lives

Answer:

[tex]\sqrt{125}[/tex]

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]

225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]

Answer:

x = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take the square root of both sides )

x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form

Answer:

Step-by-step explanation:

120 = 2x + 70

120  - 70 = 2x + 70 - 70

50 = 2x

50/2 = 2x/2

x = 25

Here is my answer. I hope this is helpful.

Answer:

The coordinates of the new triangle would be (2,2), (-1,0) and (-2,4)

Answer:

3/5 = 0.6

Step-by-step explanation:

Answer: A. 3/5 = 0.6

Step-by-step explanation: You have to convert the fraction into a decimal and then compare. - Gradpoint

3/5 = 3 divided by 5 = 0.6

Answer:

That would be 4/5. A reciprocal is just a fraction inverted, pretty much.

Answer:

A = 61°

B = 72°

C = 47°

Step-by-step explanation:

Well, first of all, we can see that:

[tex]61^{\circ}+47^{\circ}+B^{\circ}=180^{\circ}[/tex]

So, we can find angle B.

[tex]B=180^{\circ}-47^{\circ}-61^{\circ}[/tex]

[tex]B=72^{\circ}[/tex]

Now, we can see to that angle C is just 47°

Finally, we know that the sum of all angles in a triangle is 180°, so we have:

[tex]B+A+C=180^{\circ}[/tex]

[tex]A=180^{\circ}-47^{\circ}-72^{\circ}[/tex]

[tex]A=61^{\circ}[/tex]

I hope it helps you!

The measure of each angle ∠A, ∠B, and ∠C of the triangle. are 61, 72, and 47 degrees.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Triangle ABC is formed by two parallel lines and two other intersecting lines.

The angle ∠A and angle 61 are equal because they are corresponding angles. Then angle ∠A will be

∠A = 61

The angle ∠C and angle 47 are equal because they are Alternate angles. Then angle ∠C will be

∠C = 47

We know that the sum of all the interior angles of a triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180

61 + ∠B + 47  = 180

On simplifying, we have

∠B = 72

Thus, the measure of each angle A, B, and of the triangle. are 61, 72, and 47 degrees.

More about the angle link is given below.

https://brainly.com/question/15767203

Complete Question

The interior angle sum of a convex polygon is 2520.How many sides does the polygon have?

Answer:

16 sides

Step-by-step explanation:

The sum of angles in a polygon formula is given as:

(n - 2)180°

Where n = Number of sides of the polygon

Hence:

(n - 2)180°= 2520°

Divide both side by 180°

(n -2) = 2520/180

n - 2 = 14

n = 14 + 2 = 16

Therefore the number of sides the convex polygon has 16 sides.