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2 years ago

Simply 9+3(8-3(7-5))-4

Mathematics

1 answer:

EastWind [94]2 years ago

4 0

Answer:

Step-by-step explanation:

9+3(8-3(7-5))-4
9+3(8-3(2))-4
9+3(8-6)-4
9+3(2)-4
9+6-4
15-4
11

I first delt with simplifying the parentheses till step five. Then in five I just added 9+6 because it came before the -4. But PEMDAS is very important when doing these problems because it tell you the order

P (parentheses)
E (exponents)
M (multiply)
D (divide)
A (add)
S (subtract)
**the biggest thing is that with multipe and divide it depends what comes first. If you see divide before multipe in the problem just do it that way. It is the same way with add and subtract but The multiple/divide group ALWAYS comes BEFORE add/subtract

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A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a hieght of 3 inches. The cone has a radiu

arlik [135]

The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

Step-by-step explanation:

The given is,

A cylinder and a cone have the same volume

Cylinder has a radius 2 inches and height of 3 inches.

Cone has a radius of 3 inches

Step:1

For Cylinder'

Formula to calculate the volume of cylinder is,

$V = \pi r^{2} h$ ..................................................(1)

where,

r - 2 inches

h - 3 inches

From the equation (1)

= $\pi$ × $2^{2}$ × 3

= 37.70

V = 37.70 cubic inches

Step:2

For cone,

Formula to calculate the volume of cone is,

$V = \pi r^{2} \frac{h}{3}$ ..................................................(2)

From the statement,

cylinder and a cone have the same volume

$V_{cylinder}$ = $V_{cone}$

37.70 = $\pi$ × $3^{2}$ × $\frac{h}{3}$

37.70 = 9.42478 × h

Height of the cone, h = 4 inches

Result:

Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

4 0

2 years ago

Select the representation that does not change the location of the given point. (4, 110°)

miss Akunina [59]

Answer:

(4,470°)

Step-by-step explanation:

The representation that does not change the location of (4, 110°) in polar coordinates are all points that are coterminal with the given point.

The only point among the given options that is coterminal with (4, 110°) is (4, 470)°

The two points have the same magnitude and 470°-360°=110°.

Since 110° is coterminal with 470° and the two points have the same magnitude with the same sign, the two points represent the same location in polar coordinates.

The correct choice is (4,470°)

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2 years ago

What is the value of x?<br><br> Enter your answer, as a decimal, in the box.<br><br> cm

kirza4 [7]

Answer:

50.6 cm

Step-by-step explanation:

We can use similar triangles and proportions to solve. Put the smaller triangle side over the larger triangle side.

x 46.2-14 (This is the length of the short side of the triangle)

--------- = -------------

72.6 46.2

Using cross products

46.2 *x = (46.2-14) *72.6

46.2 *x = (32.2) *72.6

46.2x =2337.72

Divide each side by 46.2

46.2/46.2 *x = 2337.72/46.2

x = 50.6

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2 years ago

Explain why we can use any two points on a line to find the slope of the line

ololo11 [35]

Because all the coordinates of a line has the same slope. So, we can use any two of them to find the slope.

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2 years ago

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Graph: y is less than or equal to -1/3x + 4

mr_godi [17]

The equation looks like this

y≤ -1/3x + 4

And it looks like

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2 years ago