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Taya2010 [7]
3 years ago
15

In the right triangle below, an altitude is drawn to the hypotenuse. Solve for x.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

x = 3√7

Step-by-step explanation:

From the right triangle given in the picture,

Altitude or height of the triangle (AD) = x

Base or hypotenuse of the given triangle (BC) = 16

Length of segment BD = 16 - 7 = 9

By using geometric mean theorem in the given triangle,

\frac{AD}{BD}=\frac{DC}{AD}

(AD)² = (BD)(CD)

x² = 9×7

x = √63

x = 3√7

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A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
bekas [8.4K]

Answer:

100%

Step-by-step explanation:

Let  p = percent of cashews in first mix

2p = lb. of cashews in first mix

30(.20) =  6 = lb. of cashews in second mix

32(.25) =  8 = lb. of cashews in the combined mix

So,

lb. of cashews in first mix +  lb. of cashews in second mix = lb. of cashews in the combined mix

2p + 6 = 8

2p = 2

p = 1 = 100%

7 0
3 years ago
Read 2 more answers
Joan works on commission for a furniture store. She gets a base pay of $85 a day plus 6 percent of the
podryga [215]

Answer:

Correct expression: 85 + 0.06(t - 400)

Correct earnings: $91

Step-by-step explanation:

The expression Joan wrote is incorrect because instead, $85, she put $400 as her base salary. The correct expression would be 85 + 0.06(t - 400), where 85 is her base pay in dollars, and t - 400 represents her sales in dollars exceeding $400.

If Joan's sales were $500, she would not make $424.90, but

85 + 0.06(t - 400)

85 + 0.06(500 - 400)

85 + 0.06(100)

85 + 6

$91

Hope this helps.

Cheers,

Andy

7 0
3 years ago
Hannah has a biased coin.
muminat
Look at it this way:

When you flip a coin, the probability of it landing with EITHER side showing
is 100%. 

This leads us to the rule ...

               The sum of the probabilities of
               all possible outcomes is 100%.

For a coin:  (probability of heads) plus (probability of tails) = 100%.

That just says:  We're 100% sure that the coin will land with either
heads or tails up.

An "honest" coin gets heads 50% of the time and tails the other 50%.

But if the coin is all bent and squashed and has a feather stuck to
one side and a wad of gum on the other side so that it comes up
heads 70% of the time, then the coin isn't 'honest'.  But it still has to
land EITHER heads OR tails, so the sum of the probabilities is still 100%.

So the probability of heads is 30%.
7 0
3 years ago
Find the slope.<br> (6,7) (2,-4)
emmainna [20.7K]
I'm pretty sure the slope is: - 4/11
7 0
3 years ago
3x+4y=5 what is this in slope intercept form
tia_tia [17]
Slope intercept form is to leave y by itself. ok this is the initial question 3x+4y=5 and we want y by itself. first subtract 3x by both sides. you now have 4y=5-3x, then divide 4 by both sides. y=5-3x/4, this is slope intercept form, if you still need help download the app socratic and photomath.
3 0
3 years ago
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