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Alexus [3.1K]
3 years ago
12

Find the value of x round the length to the nearest tenth. The diagram is not drawn to scale.

Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Apply Sin

sin80=\frac{500}{x} \\x(sin80)=500\\x=\frac{500}{sin80} \\x=507.71

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The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What percent of the scores are
Lynna [10]
A normal distribution with a mean of 74 and a standard deviation of 7.
Mean + 1 SD = 74 + 7 = 81
Less than 81 :  50 % + 34 % = 84 %
Answer:
A ) 84 % 
4 0
3 years ago
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Solve the following simultaneous equation:<br>x+y over2=1 <br>3xy-7y=2
lana66690 [7]
The ansa is y= -2/3 or -2
x= 2 or 4/3
5 0
3 years ago
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What is the length of the longest side of a triangle that has vertices at (-2,6) (-4,6) and (-4,4)?
zalisa [80]

Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6

Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40)  = 2sqrt(10) units

Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2

So the length of the longest side is 2sqrt(10) units
6 0
3 years ago
What is the equation of a line that passes through the points (3, 6) and (8, 4)
Ymorist [56]
First let us find the slope between the two points.

Slope = Change in y / Change in x.

(3, 6) and (8, 4) compares to (x₁, y₁) and (x₂, y₂)

Slope = (y₂ - y₁) / (x₂ - x₁) =  (4 - 6) / (8 - 3) = -2/5 

Slope m = -2/5= -0.4

Using  y = mx + c,   using point (3, 6)

y = -0.4x  + c

6 = -0.4*3 + c

6 = -1.2 + c

6 + 1.2 = c

7.2 = c

c = 7.2

Equation = :       y = -0.4x +c

y = -0.4x + 7.2

y = -4/10  + 72/10

10y = -4x + 72

5y = -2x + 36

Equation =:      5y = -2x + 36

Hope this explains it.
4 0
3 years ago
The perimeter of a rectangle is 96 yards and the length is 14 yards more than the width what are the dimensions of the rectangle
____ [38]

Answer:

17 yards and 31 yards.

Step-by-step explanation:

Since length is 14 more than width, lets call width: w and length: w+14

So perimeter is 96 so: 2w+2(w+14)=96

2w+2w+28=96 so 4w+28=96

4w=68 and finally w=17

So 17 yards and 31 yards.

6 0
1 year ago
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