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Aleonysh [2.5K]
3 years ago
13

Which trigonometric ratios are correct for triangle DEF?

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
Sin(D) = 24/25
tan(D) = 24/7
sin(E) = 7/25 
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For every $3.00 donated to a certain charity by Club A, $1.25 was donated by Club B. If the combined total amount donated to the
shtirl [24]

Answer:

D, $18,000.00

Step-by-step explanation:

Club A

$3 x is donated where x is the number of donations

Club B

$1.25x  is donated where x is the number of donations

The total of donations is 25500.00

Add the donations  times the dollar amount  for Club A and Club B and you get the total amount donated

$3x +$1.25x = 25500.00

Combine like terms

4.25x = 25500.00

Divide by 4.25 on each side

4.25/4.25x = 25500.00/4.25

x =6000

There were 6000 donations

We want to find Club A donation amount

$3 x is the amount donated

3*6000 = 18000

4 0
3 years ago
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Given f(x)=x^3+2x+k.<br> and x+1 is a factor of f(x), then what is the value of k?
Ludmilka [50]

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

4 0
3 years ago
Solve the system of equations below by graphing.
AleksandrR [38]
I think it would be B hope it helps
5 0
4 years ago
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Pls help asap.......
lidiya [134]

i really dont know but downlaod photomath that shall work perfectly


3 0
3 years ago
What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)
mina [271]
 Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5
8 0
3 years ago
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