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Viefleur [7K]
3 years ago
15

Find two consecutive whole numbers such that the sum of their squares is 421

Mathematics
1 answer:
ruslelena [56]3 years ago
3 0
The equation you would need to solve is <span><span>x^2</span>+(x+1<span>)^2</span>=421. I'm not at a college level though so i don't know how to.

Give me feedback if this helped!</span>
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Please answer the question on the attachment &lt;3
nika2105 [10]

Answer:

Step-by-step explanation:

hypotenuse (h) = 9.4

base(b) = 1.9

cos x = b/h

cos x = 1.9/9.4

x = cos ^-1 ( 1.9/9.4)

x = 78.3°

hope it will help :)

4 0
3 years ago
An after-school care facility tries to maintain a 2-to-1 ratio of children to adults. If the facility hired five adults, what is
astra-53 [7]

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

3 0
3 years ago
Find the volume of the solid below.
atroni [7]
120 inches cubed

4*10*3 is 120
5 0
3 years ago
Read 2 more answers
Write y=2/3x +5 in standard form​
DochEvi [55]

Answer:

2x-3y=-15

Step-by-step explanation:

y=2/3x+5 and write in standard form.

and you come up with 2x-3y=-15.

6 0
3 years ago
An investment company pays 8​% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit
Leno4ka [110]
Before we start answering the question, let's define the compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}
Where:
<span>'A'</span>  is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}
12,000 = P(1.04) ^{10}
P = 8106.77
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5. 
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}
12,000 = P(1.04) ^{20}
P = 5476.64
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!
4 0
4 years ago
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