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denis-greek [22]
3 years ago
14

Help..............................................

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

83 degrees

Step-by-step explanation:

Supplementary angles add to 180 degrees.

180 - 97 = 83 degrees

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The volume of the prism shown in 60 cm Given the dimensions shown below, what would be the value of x ?
hodyreva [135]

Answer:

(3× - 2)(x - 1)

3x² - 3x - 2× -2

3x² - 5× - 2

3x² + × - 6× - 2

× (3x + 1) -2 (3× + 1)

(3× + 1) (× - 2)

8 0
3 years ago
PLEASE HELP ME PLEASEEEEEEEEEEEEEEEEEEE!
mina [271]

Answer:

The most helpful representation would be option C.

Step-by-step explanation:

The horizontal distance traveled corresponds to one of the roots of the quadratic equation.

h(x) = -0.01(x-150)(x+4)

In this case, option c presents the roots of the polynomial, which answers are

x = -4

x = 150

Since we are talking about positive distances, the first option gets discarded.

So the horizontal distance is x = 150 feet

5 0
3 years ago
Here is another one I need help with​
aksik [14]

Answer:

Step-by-step explanation:

Surface area of objects with flat surfaces like this is simply the area of each surface added together, so let's get to work.

Both have 6 faces, so we will be adding six values together for each.

Container A:

Hopefully you can imagine the six different faces.  It's kinda like a cereal box.

The front and back of a cereal box have the same area, as do the two sides and the top and bottom, so that makes it a little easier.

Front and Back:  28 * 36 = 1008

Sides: 36*6 = 216

Top and Bottom: 6*28 = 168

Let me know if you don't understand how I did any of that.  Anyway, since there is a matching face for each we add them all together twice.  

1008*2 + 216*2 + 168*2 = 2784 in^2

Container B has a similar setup, I won't write out everything like I did unless you want me to work it out with you.

2(16*12+16*22+22*12) = 1616 in^2

So since Container A has a surface area of 2784 and Container B has a surface area of 1616 it's obvious container A has a larger surface area

4 0
3 years ago
Factor with GCF and slide and divide 7n^2 + 52n + 21
UkoKoshka [18]

Answer:

( 7 n+ 3 )  ( n + 7 )

Step-by-step explanation:

factor by grouping

3 0
3 years ago
Please answer ASAP
labwork [276]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

A 12 cm cone with a dome on top of it that has an 8 cm diameter

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: \pi \approx 3.14

V (volume) = ?

Solving: (Cone volume)

V = \dfrac{ \pi *r^2*h}{3}

V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}

V = 3.14*16*4

\boxed{V = 200.96\:cm^3}

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: \pi \approx 3.14

If: We know that the volume of a sphere is V = 4* \pi * \dfrac{r^3}{3} , but we have a hemisphere, so the formula will be half the volume of the hemisphere V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}

Formula: (Volume of the hemisphere)

V = 2* \pi * \dfrac{r^3}{3}

Solving:

V = 2* \pi * \dfrac{r^3}{3}

V = 2*3.14 * \dfrac{4^3}{3}

V = 2*3.14 * \dfrac{64}{3}

V = \dfrac{401.92}{3}

\boxed{ V_{hemisphere} \approx 133.97\:cm^3}

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

\boxed{\boxed{\boxed{Volume\:of\:the\:figure = 334.93\:cm^3}}}\end{array}}\qquad\quad\checkmark

_______________________

I Hope this helps, greetings ... Dexteright02! =)

6 0
3 years ago
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