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2 years ago

I need help with this question an i cant get it wrong

Mathematics

1 answer:

Gennadij [26K]2 years ago

3 0

Divide your shape into two different shapes. a cube and a rectangular prism.

the cube has the measurements of 20*20*20 giving it a volume of 8000 inches^3

the rectangular prism has the measurements of 40*30*20 giving it a volume of 24000 inches^3

now add them together to get 32,000 inches^3 as your answer

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The farther an integer is from 0, the ______ its absolute value.

Citrus2011 [14]

I think it's higher because as far as the integer gets, the higher its absolute value gets. So, put higher in the blank.

5 0

3 years ago

Read 2 more answers

15 points!!! GEOMETRY help please!!<br> Questions attached!

dolphi86 [110]

3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

$x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o$

$Answer:\ \boxed{47^o}$

4.
Look at the picture.

Use Pythagorean theorem:

$x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8$

$Used:\ (a+b)^2=a^2+2ab+b^2$

$Answer:\ \boxed{4.8\ units}$

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}$

We have: $OP:\ y=-\dfrac{3}{2}x+b$

Now, we must find the slope of the line perpendicular to the line OP.
We know:

$k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1$

therefore

$-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}$

So. We have the answer! :)

$Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}$

6 0

3 years ago

A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.

PSYCHO15rus [73]

Answer:

Hey there!

1 gallon=400 square feet

2 3/8 gallon= 400 (2 3/8) square feet

2 3/8 gallon= 950 square feet.

Let me know if this helps :)

5 0

3 years ago

If y varies directly as x, what is the value of y in these ordered pairs?<br> (8, 4) and (4, y)

soldi70 [24.7K]

So if we see the first one (8,4) x=8 and y=4

And we see the 2nd one (4,y) x=4 and y=?

We notice that the value of x its been halved. So y varies with x so y value also has to be halved so y= 2

6 0

3 years ago

Please helppp, worth 35!!!

MrMuchimi

Answer:

9.42

Step-by-step explanation:

Hey There!

The first step of this problem is to find the formula for arc length

$arc-length=2\pi r(\frac{0}{360} )$

r=raduis

0 = angle

now we just plug in the values

$arc-length=2\pi 10\frac{54}{360} \\2\pi =6.283185307\\6.283185307x10=62.83185307\\62.83185307\frac{54}{360}=9.424777961$

so the arc length equals 9.424777961

the last step is to round to the nearest hundreth

so your final answer is 9.42

5 0

3 years ago