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DiKsa [7]
3 years ago
10

Find the area of each figure. Round to the nearest tenth if necessary.

Mathematics
2 answers:
Gnesinka [82]3 years ago
8 0

Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

9966 [12]3 years ago
8 0
Shape one / triangle:

the formula for triangles is a =1/2 x bh

5x10 = 50

50 x 1/2= 25

So the area for shape 1 is 25.

Shape two / rectangle :

the formula for quadrilaterals is a = bh

12 x 10 = 120

so the area of shape 2 is 120
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Select all of the solutions to the equation below.
Arada [10]

Answer:

12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24

Step-by-step explanation:

12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24

8 0
2 years ago
Show work please and thanks!
Zigmanuir [339]
Hello there!

On those type of angles, the angles that are facing each other is equal to another.
So you can set up the equation like this : 

10x + 1 = 12x - 5
        -2x = -6
          x = 3

So the answer is x = 3.



In some problems, you have to find the angle.
Then you just simply substitute 3 into x.

10x + 1
10(3) + 1
30 + 1
31

12x - 5
12(3) - 5
36 - 5
31
The angles are 31° and 31°.

Hope this helped! :)
3 0
3 years ago
Suppose that the functions u and w are defined as follows.
zhuklara [117]

Answer:

- 3 and 3

Step-by-step explanation:

To evaluate (u ○ w)(- 1), evaluate w(- 1) then use this value to evaluate u(x)

w(- 1) = (- 1)² + 2 = 1 + 2 = 3, then

u(3) = - 3

---------------------------------------------------

To evaluate (w ○ u)(- 1), evaluate u(- 1) then use this value to evaluate w(x)

u( - 1) = - (- 1) = 1, then

w(1) = 1² + 2 = 1 + 2 = 3

5 0
3 years ago
Rewrite the expression as an exponent with a base of x: (x^6)^4
attashe74 [19]

Answer:

it´s good

Step-by-step explanation:

5 0
2 years ago
The hypotenuse of a right triangle is 25 feet long The height of the right triangle is shrinking at a rate of 1 ft/week. What is
Lesechka [4]

9514 1404 393

Answer:

  increasing 7/24 ft per week

Step-by-step explanation:

An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.

If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...

  b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)

Then the rate of change of b with respect to x is ...

  b' = (-2x +14)/(2√(-x^2 +14x +576))

When x=0, the rate of change of the base is ...

  b' = 14/(2√576) = 7/24

The base is increasing 7/24 ft per week when the height is 7 ft.

8 0
3 years ago
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