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Dmitrij [34]
4 years ago
10

Which quadrant does 7 pi divided by 8 fall into

Mathematics
1 answer:
Svet_ta [14]4 years ago
6 0

Answer:

Quadrant 2

Step-by-step explanation:

Convert radians to degrees

7pi/8(180/pi)

1260/8=157.5

157.5 degrees would fall into quadrant 2

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Write the equation of a line in y =mx+b<br> form that has a slope of 3/4 and a y-intercept of 0.
Rus_ich [418]

Answer:

y = ¾x  

Step-by-step explanation:

y = mx + b, where

m = slope and

b = y-intercept

If slope = ¾ and y-intercept =0,  the equation is

y = ¾x

4 0
4 years ago
The area of a bulletin board is 55 ft2. The length is nine feet less than four times the width. Find the length and the width, i
galben [10]

Answer:

The length and width are 11ft and 5ft respectively

Step-by-step explanation:

let the

length = L

Width = W

Area = LW = 55

The length is nine feet less than four times the width

L = 4W - 9

W (4W - 9) = 55

4W^2 - 9W -55 = 0

4W^2 - 20W + 11W - 55 = 0

4W(W - 5) + 11(W - 5) = 0

(W - 5)(4W + 11) = 0

W - 5 = 0 , 4W + 11=0

W = 5 or  - 11/4

since the width cannot be negative, W = 5

LW = 55

L = 55/5

L = 11

The length and width are 11ft and 5ft respectively.

7 0
3 years ago
PLEASE HELP AND PLEASE SHOW YOUR WORKING
professor190 [17]

Answer:

S = 13 - x

T = (18 + x) / 2

Step-by-step explanation:

S = 18

T= 18

Sue gives away x, so subtract it from 18. But Tony gets x, so add it to 18 in his expression.

S = 18 - x

T= 18 + x

Sue eats 5 so subtract 5 from her expression. Tony eats half, so divide his expression by 2.

S = 18 - x - 5

T = 18 + x / 2

Simplify 18-5.

S = 13 - x

T = (18 + x) / 2

6 0
3 years ago
Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x
Serggg [28]

Answer:

Option A)

9x^2 - 36x + 35 = 0

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}

The sum of the roots and the product of the roots can be calculated as:

\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}

Standard form of quadratic equation:

x^2-(\alpha + \beta)x+\alpha\beta = 0

Putting values, we get,

x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0

is the required quadratic equation.

Thus, the correct answer is

Option A)

9x^2 - 36x + 35 = 0

5 0
3 years ago
Ubehebe crater in Death Vally has a diameter of a little more than 1/2 mile. If latisha walks around its rim at a rate of 2 mile
Sergeu [11.5K]
l=2 \pi r
r=0.25 miles
l=2×\pi×0.25
 =0.5 × 3.14
 =1.57

120(minutes)÷2(miles)=60(minutes per mile)
60×1.57=94.2 minutes 
8 0
4 years ago
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