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3 years ago

If the ratio of the triangular pyramids' surface areas is 4:9, what is F?

Mathematics

1 answer:

VladimirAG [237]3 years ago

4 0

Answer:

The answer to your question is f = 10.35 in

Step-by-step explanation:

Data

Proportion = 4:9

height 1 = 4.6 in

height 2 = f

Process

1.- Write the proportion

$\frac{4}{4.5} = \frac{9}{f}$

2.- Solve for f

$f(\frac{4}{4.6}) = f(\frac{9}{f})$

$f(\frac{4}{4.6}) = 9$

$4.6\frac{4f}{4.6} = 9(4.6)$

4f = 41.4

$\frac{4f}{4} = \frac{41.4}{4}$

f = 10.35 in

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The graph of the equation below is a circle. What is the length of the radius of the circle? (x - 4)^2 + (y + 12)^2 = 17^2

djverab [1.8K]

The correct answer is: [D]: "17" .
______________________________________________________
The radius is: " 17" .
______________________________________________________
Note:
______________________________________________________
The formula/equation for the graph of a circle is:
______________________________________________________
(x − h)² + (y − k)² = r² ;

in which:

" (h, k) " ; are the coordinate of the point of the center of the circle;

"r" is the length of the "radius" ; for which we want to determine;
_______________________________________________________
We are given the following equation of the graph of a particular circle:
_______________________________________________________

→ (x − 4)² + (y + 12)² = 17² ;

which is in the correct form:

→ " (x − h)² + (y − k)² = r² " ;

in which: " h = 4 " ;

" k = -12" ;

"r = 17 " ; which is the "radius" ; which is our answer.

→ { Note that: "k = NEGATIVE 12" } ;

→ Since the equation for this particular circle contains the expression: _________________________________________________________
→ "...(y + k)² ..." ;

[as opposed to the standard form: "...(y − k)² ..." ] ;
_________________________________________________________
→ And since the coordinates of the center of a circle are represented by:
" (h, k) " ;

→ which are: " (4, -12) " ; (for this particular circle) ;
_________________________________________________________
→ And since: " k = -12 " ; (for this particular circle) ;
_________________________________________________________
then:

" [y − k ] ² = [ y − (k) ] ² = " [ y − (-12) ] ² " ;

= " ( y + 12)² " ;

{NOTE: Since: "subtracting a negative" is the same as "adding a positive" ;

→ So; " [ y − (-12 ] " = " [ y + (⁺ 12) ] " = " (y + 12) "
___________________________________________________
Note: The above explanation is relevant to confirm that the equation is, in fact, in "proper form"; to ensure that the: radius, "r" ; is: "17" .
___________________________________________________
→ Since: "r = 17 " ;

→ The radius is: " 17 " ;

which is: Answer choice: [D]: "17" .
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8 0

3 years ago

Read 2 more answers

The quotient rule for exponents states that bm bn=_______, b≠0 . When dividing exponential expressions with the same nonzero b

wariber [46]

Answer:

The quotient rule for exponents states that $b^{m}\div b^{n}=b^{m-n}$ .

When dividing exponential expressions with the same nonzero base, subtract the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

$x^{0}=1$
$(x^{m})^{n}=x^{mn}$
$x^{-n}=\frac{1}{x^{n}}$
$x^{m}\cdot x^{n}=x^{m+n}$
$\frac{x^{m}}{x^{n}}=x^{m-n}$

The quotient rule for exponents states that:

$b^{m}\div b^{n}=b^{m-n}$ .

When dividing exponential expressions with the same nonzero base, subtract the exponents.

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3 years ago

Which expression is equivalent to 5(4k+7)? A. 5(7+4k) B.7(5k+4) C.35k+20 D.4k+35

Nata [24]

Answer:

A. 5(7+4k) = 35+ 20k

This is the same as 5(4k+7)

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3 years ago

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Likurg_2 [28]

Answer:

It would be 24 cars

Step-by-step explanation:

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Suppose you obtained a Spearman rs of 0.53 from a sample of 13 pairs of scores. For a two-tailed test, such a correlation coeffi

Anastasy [175]

Answer:

C: p < 0.01

Step-by-step explanation:

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