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Luden [163]
3 years ago
7

A 4-foot tall object casts a shadow that is 3-feet long. Which of the following calculations would help you find out how long th

e shadow would be if the object was 24 feet tall?
Mathematics
1 answer:
ra1l [238]3 years ago
8 0

Answer: If you take 4 times 6 you get 24, so take 3*6 to get an 18-foot shadow. 4:3=24:18. I hope this helps. I'm not sure what your choices are, though.

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Solve for x x + 47 = -23
givi [52]
X = -23 - 47 
x = -70
-70 + 47 = -23
7 0
3 years ago
Read 2 more answers
You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

Acct 2    1500-x           .05               1          .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0
3 years ago
The total current of a parallel circuit is 9+j2 amps and the current of one component of the circuit is 3−j5 amps. What is the c
stealth61 [152]

Apply law of total resistance in parallel circuit

\\ \tt\hookrightarrow \dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}

\\ \tt\hookrightarrow \dfrac{1}{9+2J}=\dfrac{1}{3-5j}+\dfrac{1}{R_2}

\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{1}{9+2J}-\dfrac{1}{3-5J}

\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{3-5J-9-2J}{(9+2J)(3-5J)}

\\ \tt\hookrightarrow R_2=\dfrac{(9+2J)(3-5J)}{-6-7J}

4 0
3 years ago
If ABCD is congruent to EFGH, then stack BC with bar on top is congruent to ......?
Sonbull [250]

Answer:

FG

Step-by-step explanation:

7 0
3 years ago
P (D) = .42, P (E) = .27, and P (D ∩ E) = .15 P (D U E)
Paul [167]

We know that P(D\cap E)=P(D)P(E)=\boxed{0.1134}.

And P(D\cup E)=P(D)+P(E)-P(D\cap E)=\boxed{0.5766}.

Hope this helps.

6 0
3 years ago
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