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3 years ago

14

Enter the perimeter of a 30°-60°-90° triangle with a hypotenuse of 20. Round your answer to the nearest tenth. You can leave the

units off. *

1 answer:

motikmotik3 years ago

3 0

Answer:

47.3

Step-by-step explanation:

as shown above ,this question can be solved using trigonometry and hence we get the perimeter to be 47.3

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1. Over 3 years, how much more does $3000 in a savings account with an APR of 3.2% compounded

Sedbober [7]

Answer:

$1080

Step-by-step explanation:

$((3000 \times 0.032) \times 2) \times 3 = 576$

convert % to decimal by multiplying 3.2%x100=0.032

then multiply by initial amount 3000x0.032

then multiply by 2 because it's compounding semiannual

then multiply by 3 because it's over a 3 yr period

do the same for the quarterly compound but multiply by 4 because it's quarterly

$((3000 \times 0.03) \times 2) \times3 = 1080$

over a 3 yr period the quarterly compounded amount will earn:

$1080 - 576 = 504$

$504 more than the account compounded semiannual

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3 years ago

Help with this linear algebra question

JulijaS [17]

Check what the transformation does for each vector in the standard basis of R²<em> </em>:

<em>T</em> (1, 0) = (5, 2)

<em>T</em> (0, 1) = (-4, 0)

Now compute the weights <em>a</em>, <em>b</em> and <em>c</em>, <em>d</em> such that

<em>a</em> <em>T</em> (1, 0) + <em>b</em> <em>T</em> (0, 1) = (-2, 1)

<em>c</em> <em>T</em> (1, 0) + <em>d</em> <em>T</em> (0, 1) = (-1, 1)

$\left[\begin{array}{cc|c}5&-4&-2\\2&0&1\end{array}\right]\sim\left[\begin{array}{cc|c}1&0&\frac12\\\\0&1&\frac98\end{array}\right]\implies a=\dfrac12,b=\dfrac98$

$\left[\begin{array}{cc|c}5&-4&-1\\2&0&1\end{array}\right]\sim\left[\begin{array}{cc|c}1&0&\frac12\\\\0&1&\frac78\end{array}\right]\implies c=\dfrac12,d=\dfrac78$

Then the matrix <em>A'</em> is

$A'=\begin{bmatrix}\frac12&\frac12\\\\\frac98&\frac78\end{bmatrix}$

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3 years ago

16. What is the solution set for: 4x - 3 > 29?

Galina-37 [17]

4x - 3 > 29
+3 on both sides
4x > 31
/4 on both sides
x > 7.75

Answer:
A) x > 8

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4 years ago

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=71°, and RS = 2.5 feet. Find the length of SQ to the nearest tenth of a foot

3241004551 [841]

Answer:

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Step-by-step explanation:

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Greg invests $400 in a savings account that earns 6% simple interest annually. If he does not make any additional deposits or wi

zalisa [80]

Answer: your answer is 4800

Step-by-step explanation:

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3 years ago