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Amiraneli [1.4K]
3 years ago
13

Help with this question, please!

Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0

Answer:

52 ft

Step-by-step explanation:

For each chord, the product of segment lengths is a constant. We can find that constant as the product of the segment lengths of the bisected chord:

(24 ft)·(24 ft) = 576 ft^2

Then the missing segment length (DX) of the diameter chord is ...

DX·(36 ft) = 576 ft^2

DX = (576 ft^2)/(36 ft) = 16 ft

So, the total length of the diameter chord is ...

DX +XL = 16 ft + 36 ft

DL = 52 ft

_____

We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3
Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is 258.75\ in^3.

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

Volume = Length\times height\times width

Substitute all given value in above formula.

258.75 = (h-4)\times h\times 3

Rewrite the equation as:

258.75 = 3h(h-4)

258.75 = 3h^2-12h

3h^2-12h-258.75=0

whole equation divided by 3.

h^2-4h-86.25=0

Use quadratic formula with a = 1, b = -4,c=-86.25

h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put these a, b and c value in above equation.

h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}

h=\frac{4\pm \sqrt{16+345}}{2}

h=\frac{4\pm \sqrt{361}}{2}

h=\frac{4\pm 19}{2}

For positive sign

h=\frac{23}{2}  

h = 11.5 in

For negative sign

h=\frac{-15}{2}

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0
3 years ago
You put the names of all the students in your class in a paper bag. There are 16 boys and 18 girls. If you draw a name at random
yaroslaw [1]
It would be a. 8/9 because for every 8/9 boy, there is 1 girl. To check this work, you can do 8/9 x 18 which equals 16.
5 0
3 years ago
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The area, a, of an ellipse can be determined using the formula a=TTxy where x and y are half the lengths of the largest and smal
Brilliant_brown [7]
a=\pi xy

To solve for y, divide both sides by \pi x:

y=\frac{a}{\pi x}

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Rectangle A measures 9 in by 3 in in rectangle B is a scaled copy of rectangle A. all measurements
taurus [48]
Answer:
3
Step-by-step explanation:
2 +2 =4 -1 is 3
5 0
3 years ago
Help please posted picture of question
bagirrra123 [75]
The given equation is:

y = -10x + 1
Slope of this equation = -10

New line will be perpendicular to this line, so slope of new line = 1/10

So, we are to find the equation of a line with slope 1/10 and passing through (5,7). Using the point slope form we can write

y - 7 = 1/10 ( x - 5)
y = x/10 -1/2 + 7 
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⇒
x/10 - y = -13/2

So option C gives the correct equation of the new line
6 0
3 years ago
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