solve -2 | 3x - 6 | + 5 = 1

Given:

Spinning top is in the shape of a square pyramid.

Side length of the base = 32 mm

Height of the pyramid = 32 mm

To find:

Volume of the spinning top

Solution:

Volume of the square pyramid:

[tex]$V=\frac{1}{3} b^{2} h[/tex]

[tex]$V=\frac{1}{3} \times (32)^{2} \times 32[/tex]

[tex]$V=1024 \times 32[/tex]

[tex]V=10922.66[/tex] cubic millimeter

The volume of the spinning top is 10922.66 cubic millimeter.

Answer:

Step-by-step explanation:

0.53 is the answer to the nearest hundredth.

To calculate the cosine of ∠X in the right triangle WXY, we use the ratio of the adjacent side length (YW = 45) to the hypotenuse length (XW = 53), which results in approximately 0.85 when rounded to the nearest hundredth.

In ΔWXY, we're given that ∠Y is a right angle, meaning that the triangle is a right triangle. To find the cosine of ∠X, we can use the definition of cosine in a right triangle, which is the ratio of the adjacent side to the hypotenuse in the context of the angle we're interested in. Since ∠X is across from side YW, and XW is the hypotenuse, we'll take the length of YW as the adjacent side. The formula for the cosine of angle X then becomes:

cos(∠X) = adjacent/hypotenuse = YW / XW = 45 / 53

Calculating this value, we get cos(∠X) = 0.8490566037735849, which when rounded to the nearest hundredth is 0.85.

Answer:

5

Step-by-step explanation:

The fractions already have a common denominator of 5

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

Triangular face

Height of the Triangle=6 Units

Base of the Triangle=8 Units

Area of the Triangular Face

[tex]=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units[/tex]

Rectangular Faces

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

From the options, the areas are:

Answer:

acd

Step-by-step explanation:

Answer:

Step-by-step explanation:

(13)2−(2x+7)=0

19x2−2x−7=0

9(19x2−2x−7)=9(0)

x2−18x−63=0

(x−21)(x+3)=0

Therefore, the value of x are

x - 21 = 0 and x + 3 = 0

x = 21 x = -3

Answer:

50,000

Step-by-step explanation

80,000 - 30,000 = 50,000

Answer:

1105 cubic centimetre

Step-by-step explanation:

volume of rectangular prism

[tex] = 17 \times 13 \times 5 \\ = 1105 \: {cm}^{3} [/tex]

Answer:

It will take him 18 days to finish the book.

Step-by-step explanation:

[tex]144/8=18[/tex]

Answer:

18

Step-by-step explanation:

You divide 144 by 8 and get the answer.

The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

Step-by-step explanation:

The given is,

                A square in a rectangle have the same perimeter

                The length of a side of the square is 4x-1

                The length of the rectangle is 2x+2 and width is 2x

Step:1

                Let, a - Side of square

                        l - Length of the rectangle

                       w - Width of the rectangle

Step:2

                Formula for perimeter of square is,

                                    [tex]p=4a[/tex].............................(1)

                Formula for perimeter of rectangle is,

                                   [tex]p=2(l+w)[/tex]....................(2)

Step:3

                From given,

                            Equation (1) = Equation (2)

                                 [tex]4a = 2 (l+w)[/tex]

               where,

                         a = 4x-1

                          l = 2x+2

                         w = 2x

               Substitute the values,

                       4 ( 4x-1 ) = 2 ( 2x+2+2x )

                            16x - 4 = 2 (4x + 2)

                            16x - 4 = 8x + 4

                          16x - 8x = 8                      

                                   8x = 8

                                     x = 1

Step:4

         Substitute the values of x,

                   a = 4(1)-1 = 3

                     l = 2(1)+2) = 4

                   w = 2(1) = 2

          Perimeter of square and rectangle is 12 units

Result:

           The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

Answer:

D

Step-by-step explanation:

[tex]\Huge{\underline{\underline{\sf{\red{AnSwEr:}}}}}[/tex]

[tex]\boxed{\sf{Martina's \: Present \: age = 14 \: years}}[/tex]

[tex]\boxed{\sf{Her \: cousin's \: Present \: age = 2\: years}}[/tex]

[tex]\Huge{\underline{\underline{\sf{\green{ExpLaNaTion:}}}}}[/tex]

= Let Martina's cousin's age be = n

= Let her age be = n+12

After four years,

Cousin's age = n+4

Her age = n+12+4=n+16

But according to the question her age = 3(n+4) = 3n+12

Thus,

3n+12=n+16

3n-n=16-12

2n=4

n=4/2

[tex] \boxed{ \sf {n = 2}}[/tex]

Thus ,

Her cousin's present age = n = 2

Her cousin's present age = n = 2Her present age = n+12 = 2+12=14

Answer:

x=4/9

Step-by-step explanation:

you have to multiply both sides by 12 to get 18x-5=3 then add 5 to both sides which would get you 18x=8, then divide both sides by 18 and you will get 4/9.

Answer:

t = 350

Step-by-step explanation:

subtract 250 from each side, and then you'll have t = 350

Answer:

350

Step-by-step explanation:

600 minus 250 =350

350 plus 250 =600

I basically did the inverse operation to solve this equation    

Answer:

i wanna say yes it is a natural number, i hope this helps

Answer:

-.167= -1/6

Step-by-step explanation:

5/12+(-7/12)

=(5 × 12) + (-7 × 12)

_______________

          12 × 12

=-24/144

= -24 ÷ 24

      ________

        144 ÷ 24

= - 1

       _______

              6

Answer:

The number of tigers decays by a factor of

                                                                         [tex]\dfrac{4}{5}[/tex]    every    0.50 years  

Explanation:

The correctly written function is

         [tex]N(t)=650\cdot \bigg(\dfrac{16}{25}\bigg)^t[/tex]

Convert 16/25 into its equivalent form (4/5)²

          [tex]N(t)=650\cdot \bigg(\dfrac{4}{5}\bigg)^{2t}[/tex]

If you make t = 1/2, this is half-year, the population of tigers will decay by a factor of 4/5 in that time. Every time the half-year passes, the population is multiplied by 4/5, which means that the polulation will decay by a factor of 4/5 whenever half a year elapses.

Hence, the number of tigers decays by a factor of 4/5 every 0.50 years.

The tiger population model indicates a decay by a factor of 4/5 every year. This factor shows the yearly reduction rate for the tiger population in Siberia.

To determine the rate of change in the tiger population modeled by the function N(t) = [tex]650 \cdot \left(\frac{16}{25}\right)^t,[/tex] we look at the decay factor in the exponential function. The base of the exponent, [tex]\frac{16}{25}[/tex], indicates that the population is decaying.

This decay factor can be expressed as [tex]\frac{4}{5}[/tex], where every year, the number of tigers decays by a factor of  [tex]\frac{4}{5}[/tex]. Thus, we can complete the sentence as follows:

The number of tigers decays by a factor of  [tex]\frac{4}{5}[/tex] every year.

We have to use Pythagorean Theorem to solve this. We square the two smallest sides, then add. If the sum is the square of the largest side, then it's our answer.

A. 7, 9, 11

49 + 81 = 130 ≠ 121

B. 12, 18, 22

144 + 324 = 468 ≠ 484

C. 10, 15, 20

100 + 225 = 325 ≠ 400

D. 8, 15, 17

64 + 225 = 289 = 289

So, our answer is D

Answer:

Claire will get 12,800 pounds of interest

Step-by-step explanation:

6.4% of 200,000 is 12,800

How did I get 6.4? 1.6 * 4 = 6.4

Answer:C=6

Step-by-step explanation:C directly proportional to D

C=kD where k=constant

C=32, D=4×4

32=k16

K=32÷16

K=2

Now D=3 and k=2

C=kD

C=2×3

C=6

Answer: c=18

Step-by-step explanation:

C is directly proportional to square of D

C € D2

€ rep directly proportional

C=kd2

K is a constant

C=32

D=4

Substitute

32=k(4^2)

32=k(16)

32=16k

K=32/16

K=2

Since we know our constant k to be 2

Substitute

We are looking for c,when d=3

C=kd2

C=2×(3^2)

C=2×9

C=18

Answer:

153.36g

Step-by-step explanation:

Density is defined as the ratio of mass per unit volume of a material.

Density = Mass/Volume

Given the edge of a cube which is equivalent to its length L to be 6cm.

Density of the cube = 0.71g/cm³

Volume of the cube = L³

Volume = 6³

Volume of the cube = 216cm³

Mass = Density × Volume

Mass of the cube = 0.71×216

Mass of the cube = 153.36grams

Answer:

153.36 grams

Step-by-step explanation:

Density is mass divided by volume: d = m/v.

Here, we already know that d = 0.71 g/cm³.

We can find the volume of hte cube. The volume of a cube is denoted by:

V = s³, where s is the side length

The cube's length is 6, so plug this in:

V = s³

V = 6³ = 216 cm³

Plug these values in:

d = m/v

0.71 g/cm³ = m / 216 cm³

m = 0.71 * 216 = 153.36 grams

The answer is 153.36 grams.

Answer:

what does the shpe look like

Step-by-step explanation:

Answer:

perimeter=2

perimeter = 11

Step-by-step explanation:

A point when rotated 180º about the origin flips the sign of the coordinates. Thus, point A' after rotating point A (-3,5) 180º about the origin would have coordinates (3,-5).

A rotation of 180º about the origin essentially changes the signs of the coordinates. If we have Point A as (-3, 5), after a 180° rotation about the origin, you'll get Point A', which will be the opposite of Point A. That means it turns (-3, 5) to (3, -5).

Rotation about the origin flips the point across both axes. This is based on a rule in mathematics: When we rotate a point 180° about the origin, (x, y) becomes (-x, -y).

The coordinates of A' after the 180° rotation are (3, -5).

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answer is 72 then pi symbol

Answer:

Step-by-step explanation:

Volume = surface area of base * height

[tex]=\frac{25}{4}*\frac{8}{5}\\\\=5*2=10\\\\=10 units^{3}[/tex]

Answer:

x = 3

Step-by-step explanation:

4x + 3 + 7x = -2x + 42

11x + 3 = -2x + 42

13x = 39

x = 3

Answer:

x=3

Step-by-step explanation:

4x+3+7x=-2x+42

combine like terms

11x+3=-2x+42

add 2x to both sides

13x+3=42

subtract 3 from both sides

13x=39

divide both sides by 13

x=3

Answer:

Y-6=-1/2(x-(-1) )

Step-by-step explanation:

The Equation for the point-slope of the line is y - 6 = -1/2(x + 1).

A line's slope is defined as the ratio of the change in y coordinates to the change in x coordinates.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Given coordinates (-1,6) and (1,5).

the slope of line is given by,

m = (y₂- y₁)/(x₂ - x₁)

y₂- y₁ = 5 - 6 = -1

x₂ - x₁ = 1 - (-1) = 2

m = -1/2

to find the equation at y = 6

when y = 6, x = -1

the equation is given by

y - y₁ = m(x - x₁)

y - 6 = -1/2(x -(-1))

y - 6 = -1/2(x + 1)

Hence equation of a line is y - 6 = -1/2(x + 1).

Learn more about the slope of a line;

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Answer:

The answer is (-6).

Step-by-step explanation:

Order the numbers from smallest to largest.

Then start eliminiating one from left, one from right until you get the median. Since in our case the median is in between (-8) and (-4). Sum the numbers and divide them by 2.

Good luck!