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3 years ago

15

If the hypotenuse of a right triangle is 30 cm long and one leg is twice as long as the other, how long are the legs of the tria

ngle?

1 answer:

Talja [164]3 years ago

8 0

30^2=a^2+2(a)^2
900=a^2+4a^2
900=5a^2
180=A^2
6√5=a
a=13.4164cm

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Distrubute 1/2 (8x-16)

KengaRu [80]

1/2×8(x-2), 4(x-2)=4x-8

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3 years ago

Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly

ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that $n = 4$

10 years, so $t = 10$

9% interest, so $r = 0.09$

There is $300.00 in the account, which means that $A = 300$

How much did Maureen earn doing odd jobs?

This is P.

$A(t) = P(1 + \frac{r}{n})^{nt}$

$300 = P(1 + \frac{0.09}{4})^{4*10}$

$(1.0225)^{40}P = 300$

$P = \frac{300}{(1.0225)^{40}}$

$P = 123.19$

Maureen earned $123.19 doing odd jobs

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3 years ago

A woman bought some large frames for $18 each and some small frames for $8 each at a closeout sale. If she bought 21 frames fo

IrinaVladis [17]

Answer:

<em> 8 large frames and 13 small frames</em>

Step-by-step explanation:

<u><em>Given:</em></u><em>
$18 each = large frames</em>

<em>$8 each = small frames</em>

<u><em>To Find:</em></u>

<em>⇒ Bought 21 frames for $248, find how many of each type she bought</em>

<u><em>Solve:</em></u>

<em>1 Large frame costs = 18 $</em>

<em>Therefore, x large frames costs = 18x $</em>

<em>{where x is the number of large frames she bought}</em>

<em>1 Small frame costs = 8 $</em>

<em>Therefore, x Small frames costs = 8y $</em>

<em>{where y is the number of small frames she bought}</em>

<em>By the given condition :</em>

<em>18x + 8y = 248 {equation 1}</em>

<em>x + y = 21 {equation 2}</em>

<em>Solve these equations simultaneously, from second equation we get :</em>

<em>x = 21- y</em>

<em>18⋅(21−y)+8y= 248</em>

<em>378 - 18y+8y = 248</em>

<em>-10y = -130</em>

<em>y = 13</em>

<em>Put y = 13 in eq x = 21- y</em>

<em>x = 21 - y</em>

<em>x = 21 - 13</em>

<em>x = 8</em>

<em>So the woman bought 8 large frames and 13 small frames.</em>

<em />

<u><em>~lenvy~</em></u>

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2 years ago

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Answer:

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After one hour you will have gained a distance of 30 miles.

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3 years ago

Read 2 more answers