78.2 times 10 to the fourth power in standard form

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

Answer:

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

Step-by-step explanation:

Answer: [tex]x=-5[/tex]

Step-by-step explanation:

To solve this exercise you need to remember the following:

[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]

Therefore, keeping the above on mind, you can solve for x as following:

[tex]e^0=e^{ln(x+6)}[/tex]

[tex]e^0=x+6[/tex]

Remember that, by definition: [tex]a^0=1[/tex], then you have:

[tex]1=x+6[/tex]

Subtract 6 from both sides of the equation.

Then the value of x is:

[tex]1-6=x+6-6\\x=-5[/tex]

It was a cylinder shape

volume of cylinder is

[tex] = \pi {r}^{2} h[/tex]

Radius of the can

=6.6÷2

=3.3

Volume of 6 can

[tex]6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)[/tex]

Answer

2484.11

Answer:

The scale factor is 1/3

Answer:

7 Hours

Step-by-step explanation:

$75-$12 per day is 63

$63 divided by $9 per hours is 7

Hope this helps and have a blessed day!

The radius is one half of the diameter.

Divide the diameter by 2 for the radius.

Radius = 4 centimeters / 2 = 2 centimeters.

Answer:

2 centimeters

Step-by-step explanation:

Circle

r=2cm

Using the formula

d=2r

Solving for r=d

2=2cm

Answer:

[tex]\large\boxed{\dfrac{16}{81}}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

Circle A:

radius = 4 ft. Substitute:

[tex]A_A=\pi(4^2)=16\pi\ ft^2[/tex]

Circle B:

radius = 9 ft. Substitute:

[tex]A_B=\pi(9^2)=81\pi\ ft^2[/tex]

The ratio:

[tex]\dfrac{A_A}{A_B}=\dfrac{16}{81}[/tex]

Final answer:

To solve the system of equations y = x - 10 and y = 2x + 5, we equate both expressions for y, solve for x, and find x = -15. Substituting x back into either equation gives y = -25, making the solution (x, y) = (-15, -25).

Explanation:

The question seeks the solution of the system of equations given by y = x - 10 and y = 2x + 5.

To find the solution, one can use the substitution method, where the expression for y in one equation is substituted into the other equation.

This gives us two equations stated to have the same value of y, which means they can be set equal to each other: x - 10 = 2x + 5.

Solving this equation for x involves moving x terms to one side and constants to the other, yielding x = -15. Substituting x back into either original equation (e.g., y = x - 10), we find y = -25.

Thus, the solution to the system of equations is x = -15 and y = -25.

Answer:

x = -6

Step-by-step explanation:

∵ [tex]\frac{x}{3}=\frac{x+2}{2}[/tex]

* These are two equivalent fractions

  we can solve by using cross-multiplication way

  that means we multiply x by 2 and multiply (x + 2) by 3

∴ 2(x) = 3(x + 2)

* Take care about the multiplication of 3(x + 2) you must

  multiply 3 by x and also multiply 3 by 2

∴ 2x = 3x + 6

* Now lets start to collect the like terms

∴ 2x - 3x = 6

∴ -x = 6

* Divide the both sides by -1

∴ x = -6

x = -3/2 (Or) x = -1.5

First apply the rule a/a = 1

2/2 = 1

x/3 = x +1

Multiply both sides by 3

(x/3 * 3) = (x * 3) + (1 * 3)

Simplify

x = 3x + 3

Subtract 3x from both sides

(x - 3x) = (3x + 3 - 3x)

Simplify

-2x = 3

Divide both sides by -2

(-2x / -2) = (3 / -2)

Simplify

x = -3/2

(Decimal: x = -1.5)

Answer:

y

Step-by-step explanation:

please give branleist

Graph-Y is decreasing from the beginning for all the values of 'x'.

The graph of an equation represents the nature of that equation by plotting the points.

Four graphs W, X, Y, and Z are given.

1. Graph-W is constant up to a certain values of 'x'. After that it is increasing for the rest of the values of 'x'.

2. Graph-X is increasing from the beginning. After that it is constant for certain values of 'x'. Then the graph is increasing.

3. Graph-Y is decreasing from the beginning for all the values of 'x'.

4. Graph-Z is increasing from the beginning. After that it is decreasing.

Learn more about the graph of an equation here: https://brainly.com/question/16877400

#SPJ2

Hello there (:

1)) Is 3/10

2)) Is 1/2

I hope this helps ya ;)

Answer:

See explanation.

Step-by-step explanation:

Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.

Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,

[tex]OD=\dfrac{1}{2}BO=\dfrac{1}{2}\cdot \dfrac{1}{2}AB=\dfrac{1}{4}AB.[/tex]

Answer:

CB And A F

Step-by-step explanation:

Answer:

The answer is CB.

Step-by-step explanation:

A ray is a line that starts from a point and travels in a particular direction to infinity.

Here, CB is the ray as it is originating from a point C and travelling up to infinity in a single direction beyond B.

The ray is represented by a arrow in one direction.

Answer:

Step-by-step explanation:

Answer:

32÷8

Step-by-step explanation:

Division is like repeated subtraction

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The problem that would repeatedly take away 8 from 32 is 32÷8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The same is true for 25÷5, it is asking how many times can 5 be taken away from 25, hence repeated subtraction

Answer:

17 inches

Step-by-step explanation:

1/2(diameter)=radius

1/2(34)=radius

17 inches

Answer:

17

Step-by-step explanation:

The top angle is 90 degrees, so I would assume that m<1 is 90 degrees.  Plugging this into the equation gives us 90 = 4y + 22.  Subtract 22 from both sides, and we get 68 = 4y.  Divide both sides by 4, and we get 17 = y.

ANSWER

45 inches.

EXPLANATION

Let the perimeter of the smaller rectangle be x.

Then, the ratio of the perimeter of the smaller rectangle to the larger rectangle is

[tex]x:72=5:8[/tex]

We change the ratio to fraction to obtain,

[tex] \frac{x}{72} = \frac{5}{8} [/tex]

Multiply both sides by 72.

[tex]x = \frac{5}{8} \times 72[/tex]

[tex]x = 5 \times 9 = 45[/tex]

The perimeter of the smaller rectangle is 45 inches.

Answer:

45 inches

Step-by-step explanation:

The 72 inches is 8 parts of the ratio, hence

[tex]\frac{72}{8}[/tex] = 9 inches ← 1 part of the ratio

5 parts = 5 × 9 = 45 inches ← smaller perimeter

Answer:

x = 12, y = 0

Step-by-step explanation:

Use elimination.

24y = 0

y = 0

Then plug back into the second equation.

2x + 9(0) = 24

2x = 24

x = 12

Plug back into the first equation to check.

Answer:

(12, 9)

Step-by-step explanation:

Please enclose fractions inside parentheses in cases such as this one.  You meant b = (3/4)a, not b = 3/(4a).

To solve this system, subst. (3/4)a for b in the 2nd equation, obtaining:

a + (3/4)a = 21.

Mult. all 3 terms by 4 to eliminate the fraction 3/4:

4a + 3a = 84

combining like terms:  7a = 84

Solving for a:  a = 84/7 = 12.

If a = 12, b = (3/4)a = (3/4)(12) = 9

The solution is (12, 9)

Answer:

a=12

b=9

Step-by-step explanation: Just did it on i-ready and got it right.

Answer: (-5, -2) is where you started.

Answer:

States with no personal income tax raise money for public services through their property tax.

Step-by-step explanation:

Answer:

States with no personal income tax raise money for public services through their property tax.

Step-by-step explanation:

Step-by-step explanation:

Answer:

[tex]176\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

In this problem

Let

x-----> the measure of an arc intercepted by an inscribed angle

[tex]88\°=\frac{1}{2}(x)[/tex]

[tex]x=2(88\°)=176\°[/tex]

Option (C) The intercepted arc of an inscribed angle measuring 88 degrees has a measure of 176 degrees, which is twice the size of the inscribed angle according to the Angular Measurement of Arcs property.

The measure of an arc intercepted by an inscribed angle is twice the measure of the inscribed angle. Given that the inscribed angle measures 88 degrees, the intercepted arc would therefore measure 176 degrees. This is because according to the Angular Measurement of Arcs property, an arc's measure is twice that of its corresponding inscribed angle (Theorem 7 in the reference material).

Answer:

w = 13/5

Step-by-step explanation:

The equation is : 5w-4=9

Then we add 4 to each side

5w = 13

Then we divide by 5

w = 13/5

Check the picture below.

so the triangular prism is really 3 rectangles and two triangles stacked up to each other at the edges, so if we simply get the area of each figure individually and sum them up, that's the area of the prism.

let's notice, the triangles have a base of 2.4 and a height/altitude of 1.

[tex]\bf \stackrel{\textit{2 triangles's area}}{2\left[ \cfrac{1}{2}(2.4)(1) \right]}~~+~~\stackrel{\textit{right rectangle}}{(2\cdot 1.5)}~~+~~\stackrel{\textit{left rectangle}}{(2\cdot 1.7)}~~+~~\stackrel{\textit{bottom rectangle}}{(2\cdot 2.4)} \\\\\\ 2.4+3+3.4+4.8\implies 5.4+8.2\implies 13.6[/tex]

THE ADVANTAGE IS: They can store more containers for higher stocks and space.

Answer:

B office space.

Step-by-step explanation:

What it says is Paul pays property tax. Property will be a building of some sort so office space is your answer.

Answer:

Part a) The area of the shaded region is [tex]41\ ft^{2}[/tex]

Part b) The area of the nonshaded region is [tex]87\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The total area is equal to the area of the shaded region plus the area of the nonshaded region

step 1

Find the total area  

The total area is equal to the area of the rectangle

[tex]A=8(16)=128\ ft^{2}[/tex]

step 2

Find the area of the shaded region

The area of the shaded region is equal to the area of the  trapezoid minus the area of the smaller square

so

[tex]A=\frac{1}{2}[(8-2)+3)](8+2) -2^{2} \\ \\A=\frac{1}{2}[9](10) -4\\ \\A=41\ ft^{2}[/tex]

step 3

Find the area of the nonshaded region

The area of the nonshaded region is equal to the total area minus the area of the shaded region

so

[tex]A=128\ ft^{2}-41\ ft^{2}=87\ ft^{2}[/tex]

Answer:

Hi there!

I got the answer: 88 units^2

Step-by-step explanation:

to find the area you the formula: A=(a+b)/2 times height

"a" in this case is 17 and "b" is 27 because 5+5+17 is 27

height is 4

then you plug what you know into the equation

(17+27)/2 times 4 to get 88

Answer:

Macy did not find the correct equivalent fraction with denominator 30.

Step-by-step explanation:

We need to compare two ratios 4:5 and 19:30.

First we will write them in the form of fraction:

[tex]\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.

[tex]\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}[/tex]

[tex]\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, we have to compare the two fractions on the basis of their numerators.

It is clear that:

[tex]\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}[/tex]