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MrRissso [65]
3 years ago
7

The area is ___ square units

Mathematics
1 answer:
12345 [234]3 years ago
5 0
Answer: 358 square units

Steps:
(12 * 20) + (10 * 10) + (6 * 3)
240 + 100 + 18
358
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Find the value of x
Dvinal [7]
Answer
67.5

45° would be the other angle of 2x°

180° - 45° = 135°

135/45 = 67.5°
6 0
3 years ago
In 1993, the sports league introduced a salary cap that limits the amount of money spent on players' salaries. The quadratic mod
jeyben [28]

Answer:

1999

Step-by-step explanation:

y  = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17

verify with known data point

y  = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17

y  = 0.2313(12)^2 + 2.600(12) + 35.17

y  = 27.9873 + 28.6 + 35.17

y = 99.6772  which verifies our equation

65 = 0.2313x² + 2.6x + 35.17

 0 = 0.2313x² + 2.6x - 29.83

quadratic formula

x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))

x = (-2.6 + 5.86) / 0.4626 = 7.05 years

7.05 = y - 1992

y = 1999.05

8 0
2 years ago
8 = 4 w divided by 3
olya-2409 [2.1K]
8 = 4w/3

  8 = 4w/3 
×3 = 4w×3
  24= 4w           ( the two 3s cross each other out)
÷4 = ÷4
  8 = w              ( the two 4s cross each other out)
6 0
3 years ago
Factor the quadratic expression as the product of two binomials x^2-3x-10
vovikov84 [41]
X^2+2x-5x-10
x(x+2)-5(x+2)

(x-5)(x+2)
6 0
3 years ago
He dimensions are tripled. The new surface area would be times larger than the original surface area.
ddd [48]

Answer:

The new surface area would be 9 times larger than the original surface area.

Step-by-step explanation:

Here we do not know what was the original shape, but we will see that it does not matter.

Let's start with a square of side length L.

The original area of this square will be:

A = L^2

Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L

Then the new area of the square is:

A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A

So the new surface area is 9 times the original one.

Now, if the figure was a circle instead of a square?

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

Now if the dimensions of the circle are tripled, the new radius will be 3*R

Then the new area of the circle is:

A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A

Again, the new area is 9 times the original one.

If the figure is a triangle?

We know that for a triangle of base B and height H, the area is:

A = B*H/2

If we triple each measure, we will have a base 3*B and a height 3*H

Then the new area is:

A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A

Again, the new area is 9 times the original area.

So we can conclude that for any shape, the new area will be 9 times the original area.

3 0
3 years ago
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