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ExtremeBDS [4]
3 years ago
12

A tower casts a 30-foot shadow. At the same time, a person who is 6 feet 6 inches tall casts a 4-foot shadow. How tall is the to

wer?
Mathematics
1 answer:
patriot [66]3 years ago
5 0
5 feet 5 inches? I think
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The sum of (-9) and a number (n) is multiplied by 1/2. the result is 20. what is the number?
OLga [1]

Answer:

Step-by-step explanation:

1/2(-9+n)=20

n=40+9

n=49

6 0
3 years ago
Read 2 more answers
Lydia earned $9.75 per hour last summer. She worked 25 hours a week. About how much did she earn in 10 weeks.
Goryan [66]
Well $9.75 times 25 hours is $243.75.

Then you take that and multiply it by 10.

So she earned $2,437.5
5 0
3 years ago
When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
Sladkaya [172]
We start with 2 x^{2} -20x-53 and wish to write it as a(x+d) ^{2} +e

First, pull 2 out from the first two terms: 2( x^{2} -10x)-53

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have x^{2} -10x and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: x^{2} -10x+25=(x-5) ^{2}

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have 2( x-5) ^{2}-53 and when we multiply that out it does not give us what we started with. It gives us 2 x^{2} -20x+50-53=2 x^{2} -20x-3

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: 2(x-5) ^{2}-53-50 which gives us the final expression we seek:

2(x-5) ^{2}-103

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e =  -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106


7 0
3 years ago
Joe has 45 minutes before he has to go to soccer practice he spends 20 minuets eating a snack and the rest of the time doing his
Alexeev081 [22]

Answer:

45=20+(x)

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
What is the solution to the equation? 2 x squared plus 4 equals 20 Choose all answers that are correct.
Stolb23 [73]
2x^2+4=20\ \ \ \ |subtract\ 4\ from\ both\ sides\\\\2x^2=16\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=8\iff x=\pm\sqrt8\\----------------------------\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\cdot\sqrt2=2\sqrt2\ \ \ |use\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\-----------------------------\\therefore\ your\ answer\ is\ -2\sqrt2\ and\ 2\sqrt2\to\boxed{a\ and\ c}
8 0
3 years ago
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