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3 years ago

Can someone help please ! , volume= _ & surface area =__

Mathematics

1 answer:

Juliette [100K]3 years ago

5 0

Step-by-step explanation:

$volume = 4.5 \times 2 \times 2.5 \\ = 22.5feet {}^{3} \\ \\ surface \: area = 4 \times 2 \\ = 8{feet}^{2}$

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A shopkeeper has 2,625 markers. He would like to pack 25 markers in each box. How many boxes will he need?

Lerok [7]

Answer:

it's 105 boxes.

Step-by-step explanation:

hope this helps! and sorry for the person just trying to get points.

5 0

2 years ago

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

6 0

3 years ago

7 is 1/10 of what number

umka21 [38]

We should find the original number, 7 of 1/10. We divide the known number for the numerator, than multiply for denominator.

7 : 1 = 7 * 10 = 70 <- answer

So 7 is 1/10 of 70

We can check our work:

1/10 of 70 = 7?

70 : 10 = 7*1 = 7

3 0

3 years ago

9dx10=240 pls hurry

vaieri [72.5K]

Answer:

2.6 or $\frac{8}{3}$

Step-by-step explanation:

9d×10=240

÷10 ÷10

9d =24

÷9 ÷9

2.6 or $\frac{8}{3}$

8 0

2 years ago

Wich number is the principal square root of 49

myrzilka [38]

A principle square root of a real number that's not negative, such as 49, is the square root of that number that is not negative.

If you take the square root of 49, you get either -7 or 7, since both $7^{2}$ and $(-7)^{2}$ equal 49. However, the principle square root would be A) 7, since it's not negative.

3 0

2 years ago

Can someone help please ! , volume= ___ & surface area =____

Can someone help please ! , volume= _ & surface area =__