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SVEN [57.7K]
3 years ago
10

A picture is 6 inches longer than it is wide and has an area of 167

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

Answer:

A) L = W + 6

B) L * W = 167  OR L = 167 / W

Substituting B) into A)

167 / W = W + 6

Multiplying both sides by "W" we get

167 = W^2 + 6W

W^2 + 6W -167

Solving by the quadratic formula

Width = 10.266

Length = 16.266

Step-by-step explanation:

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A ramp with a one meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?
natita [175]

The value of the acute angle is 40°

Step-by-step explanation:

Let the angle be 'θ'

Length of the ramp = 1 m

Height = 0.643 m

To find :

The angle of elevation.

we can use sine to find the angle of elevation.

sin θ = 0.643/1

sin θ = 0.643

0.643 = sin 40°

sin θ = sin 40°

So, θ = 40°

The angle of elevation is 40°

4 0
3 years ago
Will give brainliest ^-^
ANEK [815]

area of square = 9 x 9 = 81 square feet


 area of 1 corner = 1/2 * 3 * 3 = 4.5 square feet

4.5 * 4 = 18 square feet total of all 4 corners

81 - 18 = 63 square feet total not covered by benches.


Please mark Brainliest.


3 0
3 years ago
Read 2 more answers
Several intervals can be combined into one region using the "set union" operation, ∪∪, which is represented as "u" in webwork. f
alekssr [168]

Write the set of points from  -6 to 0 but excluding  -4  and 0 as a union of intervals

First we take  the interval  -6 to 0. In that -4  and 0 are excluded.

So we split the interval -6 to 0.

Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.

Interval becomes [-6,-4) . It says -6 included but -4 excluded.

Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets

(-4,0)

Now we take union of both intervals

[-6,-4) U (-4,0)  --- Interval from  -6 to 0 but excluding  -4  and 0



7 0
3 years ago
Compare the functions below: Which function has the smallest minimum?
anzhelika [568]

Answer:

D. All three functions have the same minimum value

Step-by-step explanation:

f(x) = -3 sin (x-pi) +2

Sin has a minimum value of -1, but since it is multiplied by a negative, we want its maximum value

sin has a maximum of 1

f (min) = -3(1) +2 = -1

g(x) has a minimum at x =3  

g(minimum) = -1

h(x) = (x+7)^2 -1

        The smallest a squared value can be is zero

     = 0 -1

h(min) =-1

5 0
3 years ago
Please help me. this is trig and all I need is an explanation on how to start
nikklg [1K]

Step-by-step explanation:

Hypotenuse : Opposite the right angle.

Opposite : Opposite the angle.

Adjacent : the last side left.

Your formulas.

Soh Cah Toa (Sin Cos Tan)

You'll be using Cos (Cah) because hypotenuse and adjacent are the only sides with something in it.

You rearranged formula :

Side length × Cos (Angle) = your answer to x

7 0
2 years ago
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