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vovangra [49]
2 years ago
13

A satellite dish shaped like a paraboloid, has diameter 2.4 ft and depth 0.9 ft. If the receiver is placed at the focus, how far

should the receiver be from the vertex? Send help, we need to pass it before 12 midnight today
Mathematics
1 answer:
GREYUIT [131]2 years ago
7 0

Answer:

0.4

Step-by-step explanation:

x=\frac{d}{2} =\frac{2.4}{2}  =1.2\\

p=\frac{x^{2} }{4y}

p=\frac{(1.2)^{2} }{4(0.9)}

p=0.4

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The answer is the product of 7 and the difference of b and - 2
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2 years ago
Read 2 more answers
6[4x(72-63) divided by 3]
spin [16.1K]

Answer:

72

Step-by-step explanation:

When an expression contains more than one sign, the rule of BODMAS is applied. Bracket of Division Multiplication Addition and Subtraction. And the signs will be solved in that order.

6[4x(72-63) divided by 3]

We solve the bracket first

(72-63)

9

The next is multiplication, inside the bigger bracket.

6[4x9 divided by 3]

Then division

6(36 divided by 3)

6(12)

72

7 0
2 years ago
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Square ABCD is shown below with line EF passing through the center: If Square ABCD is dilated by a scale factor of two about the
dlinn [17]
Line E'F' would also double.


3 0
2 years ago
In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction
tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

7 0
2 years ago
Caleb has 20 more books than Danica. If Caleb gives Danica half of his books, Danica will have 4 more books than Caleb. How many
wariber [46]

Answer:

Option E: 24.

Step-by-step explanation:

When Caleb (C) has 20 more books than Danica (D), we have:

C = 20 + D   (1)

Now, when Caleb gives Danica half of his books:

C' = C - \frac{C}{2}   (2)

Danica will have 4 more books than Caleb, so:

D' = D + \frac{C}{2}     (3)    

Also we have that:

D' = C' + 4   (4)  

By entering equation (2) and equation (3) into equation (4) we have:

D + \frac{C}{2} = C - \frac{C}{2} + 4   (5)

From (1) we have:

D = C - 20   (6)

By entering (6) into (5):

C - 20 + \frac{C}{2} = C - \frac{C}{2} + 4

C = 24

And, from (6):

D = C - 20 = 24 - 20 = 4  

Therefore, the correct option is E, Caleb had to start with 24 books.

I hope it helps you!          

3 0
2 years ago
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