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3 years ago

Picture 1: What is the value of x in this circle?

Mathematics

1 answer:

Hoochie [10]3 years ago

5 0

Answer:

Picture 1 x = 43°

Step-by-step explanation:

Picture 1 - When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle.

180 - 47-90= 43° = x

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The width of a rectangle, in feet, is represented by (3x-1). The length of the rectangle, in feet, is represented by (1.5x+3). F

bogdanovich [222]

Answer: 4.5x + 2

Explanation:

Sum of length and width = (3x-1)+(1.5x+3)
= 3x - 1 + 1.5x + 3
= 4.5x + 2

7 0

3 years ago

Please help me asap

Darya [45]

L = rc
= 26.9 * 9*3.14 / 5
= 152.04 to nearest 1/100

8 0

3 years ago

Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x

Degger [83]

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or <em>a+b+c+d+e+f+g+h+i = 72</em> if we multiply both

9 sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i + x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i + x + x + 1

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

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72. We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

72 + 2x + 1

------------------- = 9 (as the new average is 9)

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or 2x = 26.

Then x must be 13, and x + 1 must be 14.

3 0

3 years ago

Andres boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rot

Gelneren [198K]

Answer:

a) r(t) = 0.783t radians

b) h(t) = 30cos(0.783*t) feet

Step-by-step explanation:

The situation is depicted in the picture attached

<h3>(see picture) </h3>

Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds

4.7 radians __________ 60 seconds

r(t) radians ____________ t seconds

$\large \displaystyle\frac{4.7}{r(t)}=\displaystyle\frac{60}{t}\Rightarrow r(t)=(4.7/60)t \Rightarrow\\\\\boxed{r(t)=0.783t\;rad}$

The height h(t) after t seconds is given by

h(t) = 30cos(r(t)) ===>

h(t) = 30cos(0.783*t) feet

7 0

3 years ago

A seal went 25 feet below sea level to catch a fish. A sea lion dove 10 feet less than three times as deep as the seal to catch

vfiekz [6]

Answer:

65 feet below sea level.

Step-by-step explanation:

With the information provided, we can create the following equation for the position of the sea lion (p)

p = 3x - 10

In this equation, x would be the final position of the seal when it caught the fish. Since we are told that the seal's position is 25 feet below sea level then we can plug in this value as x and solve for p...

p = (3 * 25) - 10

p = 75 - 10

p = 65

Finally, we can see that the sea lion's position is 65 feet below sea level.

7 0

3 years ago

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