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inysia [295]
3 years ago
8

kate is saving to take an sat prep course that costs $350, so far , she has saved $180, and she adds $17 to her savings each wee

ks must she save to be able? write an equation to represent the cost of the course?
Mathematics
1 answer:
Tresset [83]3 years ago
6 0
X(17)+180=350
         -180 -180
x(17) + 0   =170
so you need to see how many time 17 make 170 
17x10=170
x=10
10(17)+180=350
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George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends
MariettaO [177]

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

<h3>How to get the area of the cover?</h3>

Remember that the area of a circle of radius R is given by the formula:

A = pi*R^2

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

A = 3.14*(11ft)^2 = 379.94 ft^2

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

C = 2*pi*R

Then the length of the rope will be:

C = 2*3.14*11ft = 68.2ft

If you want to learn more about circles:

brainly.com/question/1559324

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7 0
2 years ago
"if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01"
spayn [35]
Probability between z = 0 and z = 3.01 is given by

P(0<z<3.01) = P(z<3.01) - P(z<0)

Reading from the z-table, we have
P(z<0) = 0.5
P(z<3.01) = 0.9987

Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987

5 0
3 years ago
What is the value of b for the following circle in general form? x2 + y2 + ax +by+c=0​
liberstina [14]

Answer:

Step-by-step explanation:

<u><em>(1).</em></u> (x - <em>h</em>)² + (y - <em>k</em>)² = <em>r</em>²

where <em>(h, k)</em> are coordinates of a center of the circle with radius <em>r</em>

<u><em>(2).</em></u> ( a ± b )² = a² ± 2ab + b²

~~~~~~~~~~~~~~

( 1 , - 2 ) ; r = 3

( x - 1 )² + ( y + 2 )² = 3²

x² - 2x + 1 + y² + 4y + 4 = 9

x² + y² - 2x + 4y - 4 = 0

a = - 2

b = 4

c = - 4

7 0
2 years ago
Rebecca is planting an orange grove that covers 32 acres she uses the same amount of ground space for each tree Rebecca plants 1
telo118 [61]
Area of the garden that 15 trees are planted will be:
Area=250×25=6250 ft²
but 1 acre= 43560 ft²
thus converting our area to acres we get:
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=0.1435 acres
thus the population density will be:
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4 0
3 years ago
If a circle’s diameter is 3 inches, what would be the best estimate of its circumference?
inn [45]
3.14 x 3 about 9 would be the answer

3 0
3 years ago
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