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2 years ago

Find the area of the figure. in.2

Mathematics

1 answer:

iogann1982 [59]2 years ago

4 0

Area of a box:

base * height = area

1 in * 1 in = 1 in^2

Area of a triangle:

(1/2) * base * height = area

(1/2) * 3 * 3 = 4.5 in^2

4.5 in^2 + 1 in^2 = 5.5 in^2.

So the overall area is 5.5 in^2.

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Graph the following lines and write the equation in slope-intercept form. With y intercept of −3 and an x intercept of −4.5.

makvit [3.9K]

Answer:

$y=-\frac{2}{3}x-3$

Step-by-step explanation:

To write the equation of a line we need 2 points. We know:

If the y-intercept of the line is -3 then the point is (0,-3).

If the x-intercept of the line is -4.5 then the point is (-4.5,0).

Using these two point, we will find the slope and then substitute it into the point slope form $y-y_1=m(x-x_1)$ with a point.

Slope: $m=\frac{0--3}{-4.5-0}=\frac{0+3}{-4.5}=\frac{3}{-4.5}=-0.6667$

This decimal is -2/3. We will now substitute -2/3 and (0,-3) into the point slope form.

$y--3=-\frac{2}{3}(x-0)\\y+3=-\frac{2}{3}(x)\\y+3=-\frac{2}{3}x\\y=-\frac{2}{3}x-3$

6 0

3 years ago

Hakim deposited $50 in a saving account earning 10% interest, compounded annually . To the nearest cent , how much interest will

Paraphin [41]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$50\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$

$\bf A=50\left(1+\frac{0.10}{1}\right)^{1\cdot 2}\implies A=50(1.1)^2\implies A=60.5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{earned interest}}{60.5 - 50\implies 10.5}~\hfill$

7 0

3 years ago

Read 2 more answers

Seriously someone help me i answered it but i don’t know if it is right so please tell me if it is and how i got the answer or p

alex41 [277]

Answer:

Step-by-step explanation:

To determine a function rule, look at the table. Input the x and y value from one column into the function to see if it is correct.

<h3>Function a: y = 10 - 2x</h3>

Input values

22 = 10 - 2(6)

22 = 10 - 12

22 ≠ -2 ❌

As we can see, function a gives us a false statement, so a is incorrect.

<h3>Function b: y = 2 - 10x</h3>

Input values

22 = 2 - 10(6)

22 = 2 - 60

22 ≠ -58 ❌

We once again get a false answer, so b is also not correct.

<h3>Function c: y = 10 + 2x</h3>

Input values

22 = 10 + 2(6)

22 = 22 ✔

Finally, we get a true statement, so option c is correct.

<h3>Function d: y = 2 + 10x</h3>

Just to check that option c is correct, we need to prove that d is incorrect.

Input values

22 = 2 + 60

22 ≠ 62 ❌

This is also wrong, so that proves that c is correct.

I'm always happy to help :)

6 0

3 years ago

the venn diagram represents the results of a survey that asked participants whether they would want a rabbit or a snake as a pet

rosijanka [135]

For this case we will complete the table part by part.
We have then:

First row:
Snake = Rabbit = 4
Rabbit = Not Snake = 18
Total = 4 + 18 = 22

Second row:
Not rabbit = Snake = 11
Not rabbit = Not Snake = 26
Total = 11 + 26 = 37

Third row:
Total = 4 + 11 = 15
Total = 18 + 26 = 44
Total = 59

3 0

3 years ago

Read 2 more answers

Picture attached below

zysi [14]

Answer: number (3)

Explain:

6 0

2 years ago