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2 years ago

Helpp please 100 points

Mathematics

2 answers:

omeli [17]2 years ago

8 0

Answer:

z=7 and x=60

Step-by-step explanation:

well from the square that is combining the angles 1 and 2, they tell you that that is a right angle and you know that angle 2 is 38 so 90-38=52 which is the measurement of angle 1 so to find z, you would have to divide 38/-2 which is -19 and then add 12 so 12-19=-7 so z=7. so you know that one side =90 degrees so angle 3 must also =90 degrees because they are on the same line and a line is equal to 180, so all you have to do is reverse the operations in 1 1/2x to find x, so 1 1/2 or 3/2 divided by 90 is 60.

pls this took a lot of work and i kindly ask for brainliest.

maxonik [38]2 years ago

4 0

You got this dont give up

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A small moving box has a volume of 2304 inches cubed and length of 16 inches. The box's width and height are the same. Write the

lisabon 2012 [21]

Answer:

V = 16x²

Width = 12in

Height = 12in

Step-by-step explanation:

Volume of the box is expressed as;

V = Length *Width * height

Given

Length = 16in

Width = x

Height = x

The volume of the box will be expressed as;

V = 16 * x * x

V = 16x² (This gives the required equation)

To get x:

We are given

V = 2304in³

Substitute;

2304 = 16x²

x² = 2304/16

x² = 144

x= √144

x = 12

Hence the width and the height are both 12inches since they are the same.

For the sma

8 0

2 years ago

Calculus Problem

Roman55 [17]

The two parabolas intersect for

$8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2$

and so the base of each solid is the set

$B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}$

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, $|x^2-(8-x^2)| = 2|x^2-4|$ . But since -2 ≤ x ≤ 2, this reduces to $2(x^2-4)$ .

a. Square cross sections will contribute a volume of

$\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x$

where ∆x is the thickness of the section. Then the volume would be

$\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}$

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

$\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x$

We end up with the same integral as before except for the leading constant:

$\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx$

Using the result of part (a), the volume is

$\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}$

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

$\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x$

and using the result of part (a) again, the volume is

$\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}$

7 0

2 years ago

A student took a system of equations, multiplied the first equation by 2 and the second equation by 3, then added the results to

egoroff_w [7]

Answer:

system 4.

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18 ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12 ...(2)

add (1) and (2)

0+0=30

which is impossible .It has no solutions.

3 0

2 years ago

6.3 x 10'-8 in standard notation

iris [78.8K]

6.3 x 10'-8
63 - 8
55

55 is the answer

5 0

2 years ago

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lesantik [10]

Answer:

10x^2-11x-6

Step-by-step explanation:

To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.

Step by step, you would:

5x * 2x = 10x^2

5x * -3 = -15x

2 * 2x = 4x

2 * -3 = -6

In an equation, it would expand to 10x^2-15x+4x-6

To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.

-15x+4x=-11x

Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.

6 0

2 years ago