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egoroff_w [7]
3 years ago
8

HELPPPPPP I DON'T KNOW THIS !! I will give brainliest to the CORRECT ANSWER :(

Mathematics
2 answers:
Kamila [148]3 years ago
4 0

Step-by-step explanation:

260 square inches

is the right answer

chubhunter [2.5K]3 years ago
3 0

Answer:

260 in²

Step-by-step explanation:

<u>1) Find the total area of the triangular sides</u>

A=\frac{1}{2}bh

Plug in 10 in as the base and 8 in as the height

A=\frac{1}{2}(10)(8)\\A=\frac{1}{2}(80)\\A=40

Multiply the area by 4 (for the 4 triangular surfaces)

40*4\\=160

Therefore the total area of the triangular sides is 160 in².

<u>2) Find the area of the square base</u>

A=l^2

Plug in 10 as the length

A=10^2\\A=100

Therefore, the area of the square base is 100 in².

<u>3) Add the areas together</u>

100 in² + 160 in²

= 260 in²

Therefore, the surface area of the solid is 260 in².

I hope this helps!

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a charitable organization in Lanberry is hosting a black tie benefit. Yesterday, the organization sold 55 regular tickets and 49
jenyasd209 [6]

Answer:

  • regular: $67
  • VIP: $122

Step-by-step explanation:

Let r and v represent the costs of a regular and VIP ticket, respectively. The two sales can be represented by ...

  55r +49v = 9663

  79r +84v = 15541

We can subtract 7 times the second equation from 12 times the first to eliminate the v terms.

  12(55r +49v) -7(79r +84v) = 12(9663) -7(15541)

  660r +588v -553r -588v = 115,956 -108,787 . . . . . eliminate parentheses

  107r = 7169 . . . . . . . simplify

  r = 67 . . . . . . . . . . . divide by 107

Using this value in the first equation, we have ...

  55(67) +49v = 9663

  v = 5978/49 . . . . . . . . . subtract 3685, divide by 49

  v = 122

A regular ticket costs $67; a VIP ticket costs $122.

_____

<em>Additional comment</em>

When using "elimination" to solve a system of equations, you're looking for coefficients of the same variable that are related by small factors. Preferably, one coefficient is the same as, or a small multiple of, the other. Here, 55 and 79 (the coefficients of x) are not related by an integer, or a couple of small integers. On the other hand, the y-coefficients 49 and 84 have a common factor of 7, and are in the ratio 7:12, a pair of small numbers. This is why we chose to eliminate the y-variable.

The x-variable could be eliminated using 55 and -79 as multipliers of the equations. This results in larger numbers, and more chance for error. (Errors tend to creep in when computing or copying large numbers.)

Of course, any of several machine methods could be used to solve these equations, including graphing and matrix-solving functions. Here, we tried to honor the requirement to solve by elimination.

7 0
3 years ago
∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

4 0
3 years ago
Let the sample be 11, 3, 4, 3, 5, 7, 8, 12. What is the range of the sample?
grin007 [14]

Solution

- The Range of a dataset is simply the difference between the largest number and the smallest number in the dataset.

- In the dataset given, the largest number is 12 while the smallest number is 3.

- Thus, the Range of the dataset is

12-3=9

Range = 9

7 0
1 year ago
Find the slope of the line that passes through (-13, 64) and (69, 23).
Ivenika [448]

Answer:

-2

Step-by-step explanation:

5 0
3 years ago
What is the slope intercept form of the equation of the line passing through the point 2,-3 having a slope of m=-1/2?
Rudik [331]
<span>what is the slope intercept form of the equation of the line passing through the point 2,-3 having a slope of m=-1/2?</span>
8 0
3 years ago
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