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3 years ago

The height of a rhombus is 5 cm. The area is 20 cm².

Mathematics

1 answer:

Fofino [41]3 years ago

5 0

A = 1/2bh
20 = 1/2b(5)
20 = 2 1/2b
20 × 2/5 = 2/5 × 5/2b
8 = b

P = 4a
P = 4(13)
P = 52cm<u></u>²

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QUESTION 4 of 10: Your average weekly take home wage is $615. You take a one-week paid vacation and a second week unpaid vacati

Anastasy [175]

Answer:

$45

Step-by-step explanation:

Here we need to calculate the income of this year.

We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:

51 * $615 = $31,365

So, our surplus will be our income minus our expenses:

Surplus = $31,365 - $31,320 = $45

Our cash surplus is $45

6 0

3 years ago

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. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte

Mashcka [7]

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160$

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240$

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

$\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}$

4 0

2 years ago

Can someone please help me??

aivan3 [116]

Answer:

-16 is the answer after evaluating

Step-by-step explanation:

${b }^{2} - 7b - 6 \\ 5 { }^{2} - 7 \times 5 -6 \\ 25 - 35 - 6 \\ 25 - 41 \\ - 16$

4 0

3 years ago

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Prove this trigonometric equation;<br><br> - tan^2x + sec^2x = 1,

alekssr [168]

Hey there :)

- tan²x + sec²x = 1 or 1 + tan²x = sec²x

sin²x + cos²x = 1
Divide the whole by cos²x

$\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}$

$\frac{sinx}{cosx} = tanx$ so $\frac{sin^2x}{cos^2x} = tan^2x$
and
$\frac{1}{cosx} = secx$ so $\frac{1}{cos^2x} = sec^2x$

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

3 0

3 years ago

The number is 9,18,27,36,45 what is the question?

MissTica

Hello from MrBillDoesMath!

Answer: I'd guess it's "find the next number in the sequence" (which is 54)

Discussion:

9 * 1 = 9

9 * 2 = 18

9 * 3 = 27

9 * 4 = 36

9 * 5 = 45

9 * 6 = 54

Thank you,

MrB

7 0

3 years ago

Read 2 more answers