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Kisachek [45]
3 years ago
14

Which mixed number and improper fraction are represented by the point on the number line?

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0
Fifth increments assessment graphic and
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The length of a rectangle is 8 feet more than it's width. The area of the rectangle is 84 square feet. Find it's length and widt
S_A_V [24]

Length of the rectangle is 14 ft and width is 6 ft

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x, then length = 8 + x. Find dimensions if area = 84 ft²

⇒ Area of the rectangle = length × width

⇒ 84 = x(8 + x) = 8x + x²

⇒ x² + 8x - 84 = 0

⇒ x² + 14x - 6x - 84 = 0 (Using product sum rule to factorize)

⇒ x(x + 14) - 6(x + 14) = 0

⇒ (x + 14)(x - 6) = 0

⇒ x = -14, +6 (negative value is neglected)

∴ x = 6 and x + 8 = 14

3 0
3 years ago
Please help with this question its in the picture
ExtremeBDS [4]

Answer:

C. 16.1

Step-by-step explanation:

a circle is 360 degrees so, the arc is 115/360(0.3194) of the whole circle

Circumference of a circle = 2πr = 2(3.1415)(8) = 50.264

multiply to find length of arc: 50.264*0.3194=16.05 which is rounded to 16.1

8 0
3 years ago
Read 2 more answers
Help me please! A,b,c or d
noname [10]
A. Complementary is the answer
5 0
3 years ago
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A box is launched upward from the ground at a speed of 57 feet per second. Calculate the height in feet of the box at 3 seconds.
expeople1 [14]
The vertical height traveled is given by
h = ut +- (1/2)g*t^2
where 
u = 57 ft/s, initial speed
t = tme, s
g = 32 ft/s^2

After 3 seconds,
h = (57 ft/s)*(3 s) - (1/2)*(32 ft/s^2)*(3 s)^2
   = 171 - 144
   = 27 ft

Answer:  27 ft
6 0
3 years ago
Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can
Firdavs [7]

Answer:

18.75 ft

Step-by-step explanation:

The given scenario can be drawn as shown in the following attachment.

Given that,

m\angle DCE=\angle ACB and m\angle DEC=\angle ABC=90^{\circ}

Therefore, \Delta ABC\sim \Delta DEC

\Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{EC}

\Rightarrow \dfrac{AB}{5}=\dfrac{15}{4}

\Rightarrow AB=\dfrac{15\times 5}{4}=18.75 ft

AB is the height of the house.

7 0
3 years ago
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