PLZ HELP

a quarter circle has radius of 7 centimeters. What is the area of this figure? Use 3.14 for pi. Round your final answer to the nearest hundredth.

If the room is 10 by 12 that means each wall is 10 by 12 (I'm assuming) so the area of each wall is 120 ft and since there are 4 of them the total area of the walls is 480 ft and if wallpaper costs 1.53 per ft, it costs 480 * 1.53 or $734.40

Hope this helps

Answer:

The two triangles may be congruent, but additional information is needed about the sides of each triangle.

Step-by-step explanation:

Given that Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles in XYZ and found that they had measures of 65° and 45°.

We have by using properties of sum of angles of triangles, angles of PQR are 65, 70, 45 and also same for XYZ

Hence there is a chance that these triangles may be congruent depending on the sides.  We are sure that the angles are congruent hence triangles are similar.  But to prove congruence we must have additional information about sides.

The two triangles may be congruent, but additional information is needed about the sides of each triangle.

Answer:The two triangles may be congruent, but additional information is needed about the sides of each triangle

Step-by-step explanation:

Answer:

It is B.

Step-by-step explanation:

Substitute x = 0 into the function

y = -2(0) - 4 = -4

x = 1:

y = -2(1) - 4 = -6.

x = 2 and 3 give y = -8 and - 10.

Answer:

The correct answer is B.

Step-by-step explanation:

Answer:

(2, 8).

Step-by-step explanation:

(x - 2)^2 + (y - 6)^2 = 4

If x = 2 and y = 8 we have:

(2 - 2)^2 + (8 - 6)^2

= 0 + (2^2

= 4.

So it passes through the point (2,8).

The point through which the circle passes is:

                               (2,8)

The equation of the circle is given by:

[tex](x-2)^2+(y-6)^2=4[/tex]

We will check by putting each point in the equation and check which is equal to 4.

1)

(2,8)

when x=2 and y=8 we have:

[tex](2-2)^2+(8-6)^2=4\\\\i.e.\\\\0^2+2^2=4\\\\i.e.\\\\4=4[/tex]

Hence, the circle passes through the point (2,8).

2)

(5,6)

when x=5 and y=6 we have:

[tex](5-2)^2+(6-6)^2=4\\\\i.e.\\\\3^2+0^2=4\\\\i.e.\\\\9=4[/tex]

which is not true.

Hence, the circle does not pass through (5,6).

3)

(-5,6)

when x= -5 and y=6 we have:

[tex](-5-2)^2+(6-6)^2=4\\\\i.e.\\\\(-7)^2+0^2=4\\\\i.e.\\\\49=4[/tex]

which is not true.

Hence, the circle does not pass through (-5,6).

4)

(2,-8)

when x=2 and y= -8 we have:

[tex](2-2)^2+(-8-6)^2=4\\\\i.e.\\\\0^2+(-14)^2=4\\\\i.e.\\\\196=4[/tex]

Hence, the circle does not passes through the point (2,-8).

Doubling the number every night will result in 4,194,304. How can that girl possibly sleep now with all those magic pennies?

Answer: The girl will have $524.288 (524,288 pennies) after 19 nights.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

So, we have to write an exponential expression where the initial value (a) is 1, the multiplicative rate of growth (b) is 2, and the time period (x) is 19.

Mathematically speaking: (where "y” is the total money)

y = ab×

y = 1 x (2) ∧19 = 524,288 pennies

Since 1 dollar = 100 pennies,

524,288 / 100 = $524.288

The girl will have $524.288 (524,288 pennies) after 19 nights.

Answer:

Negative 8 plus negative 6 equals negative fourteen.

Answer:

Negative eight plus negative six equals negative fourteen

Answer:

8.28 units

Step-by-step explanation:

The formula for the circumference of a circle is [tex]C=\pi d[/tex]

where

[tex]C[/tex] is the circumference of the circle

[tex]d[/tex] is the diameter of the circle

We know form our problem that the circumference of our circle is 26.28 units, so [tex]C=28.26[/tex]. Let's replace that value in our formula and find [tex]d[/tex]:

[tex]C=\pi d[/tex]

[tex]26=\pi d[/tex]

Divide both sides of the equation by [tex]\pi[/tex]

[tex]\frac{26}{\pi } =\frac{\pi d }{\pi }[/tex]

[tex]\frac{26}{\pi } =d[/tex]

[tex]d=\frac{26}{\pi }[/tex]

[tex]d=8.28[/tex]

The diameter of the circle that has a circumference of 28.26 units is 8.28 units.

Answer:

The diameter of a circle is 9 units

Step-by-step explanation:

A circle has a circumference of 28.26

Let diameter of a circle be d unit.

Formula:

[tex]C=\pi d[/tex]

where, C=28.26

[tex]28.26=\pi d[/tex]

[tex]d=\dfrac{28.26}{\pi}[/tex]

[tex]d=8.995\approx 9[/tex]

Hence, The diameter of a circle is 9 units

1)

x + 2y = 21

+ -x + 3y = 29

--------------------------

5y = 50

y = 10

x + 2(10) =21

x = 1

2)

6x + 6y = 30

+ 15x - 6y = 12

-------------------------------

21x = 42

x = 2

6(2) + 6y = 30

6y = 18

y = 3

1.  The solution to the system of equations is (x, y) = (1, 10)

2. the solution to the system of equations is (x, y) = (-2, 7)

3. the solution to the system of equations is (x, y) = (5, 3)

4.  the solution to the system of equations is (x, y) = (6, 4)

5.  the solution to the system of equations is (x, y) = (2, -3)

1. To solve the system of equations using elimination, you need to add the two equations to eliminate one of the variables. Here's how you can do it:

x + 2y = 21

-x + 3y = 29

Add the two equations together:

(x + 2y) + (-x + 3y) = 21 + 29

Now, simplify the equation:

(2y + 3y) = 50

Combine like terms:

5y = 50

Now, divide both sides by 5 to solve for y:

5y/5 = 50/5

y = 10

Now that you've found the value of y, substitute it back into either of the original equations to solve for x. Let's use the first equation:

x + 2(10) = 21

x + 20 = 21

Subtract 20 from both sides:

x = 21 - 20

x = 1

So, the solution to the system of equations is (x, y) = (1, 10). The correct answer is (1, 10).

2. 15x + 6y = 12

To solve this system of equations using elimination, you can follow these steps:

Multiply both sides of the second equation by 2 to make the coefficients of y in both equations equal:

2(15x + 6y) = 2(12)

30x + 12y = 24

Now you have the system:

6x + 6y = 30

30x + 12y = 24

Multiply the first equation by -5 to make the coefficients of x in both equations equal:

-5(6x + 6y) = -5(30)

-30x - 30y = -150

Now you have the system:

-30x - 30y = -150

30x + 12y = 24

Add the two equations to eliminate the x variable:

(-30x - 30y) + (30x + 12y) = (-150 + 24)

-18y = -126

Divide both sides by -18 to solve for y:

-18y / -18 = -126 / -18

y = 7

Now that you've found the value of y, substitute it back into the first equation to solve for x:

6x + 6(7) = 30

6x + 42 = 30

6x = 30 - 42

6x = -12

x = -12 / 6

x = -2

So, the solution to the system of equations is (x, y) = (-2, 7). The correct answer is (-2, 7).

3. Subtract the first equation from the second equation to eliminate the x variable:

(2x + 6y) - (2x + 2y) = 28 - 16

This simplifies to:

4y = 12

Divide both sides by 4 to solve for y:

4y / 4 = 12 / 4

y = 3

Now that you've found the value of y, substitute it back into the first equation to solve for x:

2x + 2(3) = 16

2x + 6 = 16

Subtract 6 from both sides:

2x = 16 - 6

2x = 10

Divide both sides by 2 to solve for x:

2x / 2 = 10 / 2

x = 5

So, the solution to the system of equations is (x, y) = (5, 3). The correct answer is (5, 3).

4. Multiply the second equation by -3 to make the coefficients of x in both equations equal:

-3(2x + y) = -3(8)

-6x - 3y = -24

Now you have the system:

2x - 3y = 0

-6x - 3y = -24

Add the two equations to eliminate the y variable:

(2x - 3y) + (-6x - 3y) = 0 - 24

This simplifies to:

-4x = -24

Divide both sides by -4 to solve for x:

-4x / -4 = -24 / -4

x = 6

Now that you've found the value of x, substitute it back into the first equation to solve for y:

2x - 3y = 0

2(6) - 3y = 0

12 - 3y = 0

Subtract 12 from both sides:

-3y = -12

Divide both sides by -3 to solve for y:

-3y / -3 = -12 / -3

y = 4

So, the solution to the system of equations is (x, y) = (6, 4). The correct answer is (6, 4).

5. To solve the system of equations using elimination, you can follow these steps:

Subtract the second equation from the first equation to eliminate the y variable:

(5x + 5y) - (5x - 5y) = -5 - 25

This simplifies to:

10y = -30

Divide both sides by 10 to solve for y:

10y / 10 = -30 / 10

y = -3

Now that you ve found the value of y, substitute it back into either of the original equations to solve for x. Let's use the first equation:

5x + 5(-3) = -5

5x - 15 = -5

Add 15 to both sides:

5x = -5 + 15

5x = 10

Divide both sides by 5 to solve for x:

5x / 5 = 10 / 5

x = 2

So, the solution to the system of equations is (x, y) = (2, -3). The correct answer is (2, -3).

Learn more about Solving systems of equations using elimination here:

https://brainly.com/question/29362376

#SPJ12

Answer:

im not 100% sure but to me it looks like it could be 225

Answer:

The correct option is 3.

Step-by-step explanation:

From the given figure it is clear that the vertices of preimage are A(-4,-2), B(-2,1) and C(-2,-2).

Center of rotation is origin, i.e., (0,0).

Triangle ABC is rotated counterclockwise about the origin.

We need to find the angle of rotation.

Draw line segments OC and OC'. From the below figure it is clear that the angle of rotation counterclockwise about origin is

[tex]45^{\circ}+90^{\circ}+90^{\circ}=225^{\circ}[/tex]

Therefore the correct option is 3.

Answer: Last option.

Step-by-step explanation:

The formula for calculate the area of the circle is the shown below:

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

Where r is the radius of the circle.

As you can see in the figure attached, the radius of the circle is 6 units, then:

[tex]r=6units[/tex]

Therefore, when you substitute the value of the radius into the formula shown above, you obtain the following result:

[tex]A_c=(6\ units)^2\pi[/tex]

[tex]A_c=36\pi\ units^2[/tex]

Answer:

The correct answer is 36π square units

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where r - radius of circle

From the figure we can see a circle with radius 5 units

To find the area of circle

Area = πr² = π * 6² = 36π  square units

Area of given circle = 36π  square units

Therefore the correct answer is 36π  square units

1. subtract 47.5 from both sides

2. divide both sides by 4.5

3. 3

Just did in edg

Answer:

1. By substitution property of inequality

5(9.5)+4.5[tex]\leq[/tex]65

2. By using multiplication  in equality then we get

47.5+4.5x[tex]\leq[/tex]65

3. The five friends will have 3 snacks to split.

Step-by-step explanation:

Given

Five friends have total money= $65

Cost of each movie ticket= $9.50

Cost of each snack item= $4.50

Let ,five friends have total snacks = x

Total movie tickets=5

Because total number of friends=5

The inequality expressionis given by

I Step: [tex]5(9.5)+4.5x\leq 65[/tex]

Reason: By using substitution property of inequality

[tex]47.5+4.5x\leq 65[/tex

2. Step :[tex]4.5x[tex]\leq[/tex]65-47.5[/tex]

[tex]4.5x\leq 17.5[/tex]  ( by subtarction 47.5  from both sides)

[tex]x\leq \frac{17.5}{4.5}[/tex]   ( by dividing 4.5 on both sides )

Because they can buy maximum 3 snacks .

Beacause the number of snacks is natural number so we can't take in rational numbers.

Answer:

[tex]C(h)=\$30+xh[/tex]

Step-by-step explanation:

Let

C-----> the cost of having a plumber spend h hours at your house

h----> the number of hours

x----> the cost per hour of labor

we know that

The linear equation that represent the cost C is equal to

[tex]C(h)=\$30+xh[/tex]

In this linear equation in the slope-intercept form (y=mx+b)

the slope is equal to [tex]m=x\frac{\$}{hour}[/tex]

the y-intercept b is equal to [tex]b=\$30[/tex] ---> charge for coming to the house

Answer:

a) 0.0139; b) 0.1809; c) 0.4278

Step-by-step explanation:

We use a normal approximation to a binomial distribution for these problems.

The sample size, n, for each is 30; p, the probability of success, is 0.808.  This makes the mean, μ = np = 30(0.808) = 24.24.  The standard deviation,

σ = √(npq) = √(30(0.808)(1-0.808)) = √(30(0.808)(0.192)) = √4.65408 = 2.1573

For part a,

We are asked for P(X < 20).  Using continuity correction to account for the discrete variable, we find

P(X < 19.5)

z = (19.5-24.24)/(2.1573) = -4.74/2.1573 = -2.20

Using a z table, we see that the area under the curve to the left of this is 0.0139.

For part b,

We are asked for P(X = 24).  Using continuity correction, we find

P(23.5 < X < 24.5)

z = (23.5-24.24)/2.1573 = -0.74/2.1573 = -0.34

z = (24.5-24.24)/2.1573 = 0.26/2.1573 = 0.12

Using a z table, we see that the area under the curve to the left of z = -0.34 is 0.3669.  The area under the curve to the left of z = 0.12 is 0.5478.  The area between them is then

0.5478-0.3669 = 0.1809.

For part c,

We are asked to find P(25 ≤ X ≤ 28).  Using continuity correction, we find

P(24.5 < X < 28.5)

z = (24.5-24.24)/2.1573 = 0.26/2.1573 = 0.12

z = (28.5-24.24)/2.1573 = 4.26/2.1573 = 1.97

Using a z table, we see that the area under the curve to the left of z = 0.12 is 0.5478.  The area under the curve to the left of z = 1.97 is 0.9756.  The area between them is 0.9756 - 0.5478 = 0.4278.

Answer: option a.

Step-by-step explanation:

 By definition we know that:

 [tex]log_a(a^n)=n[/tex]

Where a is the base of the logarithm.

 We also know that:

[tex]\sqrt{x}=x^{\frac{1}{2}}[/tex]

Then you can rewrite the logarithm given in the problem, as you can see below:

[tex]log_{17}(\sqrt{17})[/tex]

And keeping on mind the property, you obtain:

[tex]=log_{17}(17^{\frac{1}{2}})=\frac{1}{2}[/tex]

Therefore, you can conclude that the answer is the option a.

Answer:

The answer is 1/2 ⇒ answer (a)

Step-by-step explanation:

*The logarithm function is the inverse of the exponential function

- Ex: If 2³ = 8 ⇒  then [tex]log_{2}(8) = 3[/tex]

 Vice versa : If [tex]log_{5}(125)=3[/tex] ⇒ 5³ = 125

* In logarithm function:

- If [tex]log_{a}a=1[/tex] because [tex]a^{1}=a[/tex]

- If [tex]log_{a}a^{n}=(n)log_{a}a=n[/tex]

∵ [tex]log_{17}\sqrt{17}=log_{17}(17)^{\frac{1}{2}}[/tex]

- √b = [tex]b^{\frac{1}{2}}[/tex]

∴ [tex]log_{17}(17)^{\frac{1}{2}}=\frac{1}{2}log _{17}(17)=\frac{1}{2}(1) = \frac{1}{2}[/tex]

∴ The answer is 1/2 ⇒ answer (a)

Answer:

The ball will hit the ground in 2 seconds

Step-by-step explanation:

The formula for throwing a baseball in the air is represented by :

h = -16t² + 12t + 40

where h is the height of the ball and t is the time in seconds

Now we need to find after how many seconds will the ball hit the ground

When the ball hits the ground the height of the ball is 0

⇒ -16t² + 12t + 40 = 0

⇒ 4t - 3t - 10 = 0

⇒ 4t² - 8t + 5t - 10 = 0

⇒  4t(t - 2) + 5(t - 2) = 0

⇒ t cannot be negative so t = 2

Hence, The ball will hit the ground in 2 seconds

The ball will hit the ground after 2 seconds.

The formula for the height of a thrown baseball is given by:

h = -16[tex]t^{2}[/tex] + 12t + 40

where h is the height (in feet) and t is the time (in seconds).

To find the time when the ball hits the ground, we need to determine when the height h is equal to zero:

0 = -16[tex]t^{2}[/tex] + 12t + 40

Solving this quadratic equation using the quadratic formula:

The quadratic formula is: t = (-b ± √(b² - 4ac)) / 2a

For our equation, a = -16, b = 12, and c = 40. Plugging these values in:

Thus, the ball will hit the ground at t = 2 seconds.

Note that we ignore the negative time value as it doesn’t represent a meaningful physical solution.

It’s the third one C)

Answer:

The difference is in which in way that they can be separated.

Step-by-step explanation:

While all three of these include mixtures of two or more things, a suspension can typically be re-separated by using a centrifuge and a solution can be filtered out. A colloid on the other hand, cannot typically be separated after it is put together.  

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

bc IM JUICE WRLD

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point form:

(3,2), (3-2), (-3,2), (-3,-2)

Equation Form:

x = 3, y = 2.

x = 3, y = -2.

x = -3, y = 2.

x = -3, y = -2.

Hope this is helpful. <33

Answer:

Step-by-step explanation:

A=l•w

=5/6•1/3

=5/18

A=0.28 mi²

Answer:

3 miles

Step-by-step explanation:

The   Answer    is     frequency

= (pi)/(2pi)

= 1/2 freq  

Answer:

Step-by-step explanation:

The easiest way to do this is to get the period correct first.

If the function f(x) = cos(B * x) then the period is

P =  2*pi/B  In this case B = 5

P = 2* pi/5

The frequency is the reciprocal of the period

f = 1/p

f = 1/(2pi/5) Now all you do is turn 2p/5 upside down.

f = 5/2*pi <<<< Answer

I don't know how simple your marker considers this, but it is the answer.

Answer:

The width of the rectangle is 3 and the width is 9. Those are reasonable measurements.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Graphs of quadratics are symmetrical about the vertex (minimum or maximum point).  

The x value of the point (-3, 11) is 3 units to the left of the vertex (0, 2), the x value that is 3 units to the right of the vertex will have the same y value, so the point

(3, 11) is also on the graph

The quadratic function has a minimum at (0, 2) and includes the point (-3, 11). Solving for the function's equation, we find y = x² + 2, and another point on the graph is (1, 3).

Since the quadratic function has a minimum at (0, 2), it means the vertex form of the quadratic function is y = a(x - 0)² + 2, or simply y = ax² + 2. We know another point on the graph is (-3, 11), so we can use this point to find the value of 'a'.

So, the equation of the quadratic function is y = x² + 2. To find another point on the graph, choose any x-value and compute the corresponding y-value. For example, let x = 1:

Thus, another point on the graph is (1, 3).

Answer:

but putting 24% in the calculator

Step-by-step explanation:

24% as a fraction: 6/25

24% as a mixed number: it just a fraction

24% as a whole number: 24

Angle K is bisected which means it is actually twice the shown angle.

Angle K = 22 x 2 = 44 degrees.

Angle H = Angle K = 44 degrees.

The sum of Angle G and J is 360 - 44 - 44 = 272 degrees

Angle G and J are identical, so angle G = 272 / 2 = 136

Angle G is also bisected, so angle 1 = 136 / 2 = 68 degrees.

The answer is C. 68

Answer: [tex]=14a^3-21a^2+42a-35[/tex]

Step-by-step explanation:

You can multiply the polynomials by applying the Distributive property.

It is important to remember the Product of powers property, which states that:

[tex](b^a)(b^c)=b^{(a+c)[/tex]

Where b is the base and a and c are exponents.

It is also important to remember the multiplication of signs:

[tex](-)(-)=+\\(+)(+)=+\\(+)(-)=-[/tex]

Then:

Each term inside of the first parentheses must multiply each term inside of the second parentheses:

[tex](7a-7)(2a^2-a+5)=(7a)(2a^2)+(7a)(-a)+(7a)(5)+(-7)(2a^2)+(-7)(-a)+(-7)(5)\\\\=14a^3-7a^2+35a-14a^2+7a-35[/tex]

Finally, add like terms:

[tex]=14a^3-21a^2+42a-35[/tex]

Answer:

D. [tex]y=\frac{7}{2}x[/tex]

Step-by-step explanation:

We are asked to find the equation, which represents the direct variation that contains the ordered pair (2,7).

When two quantities are proportional to each other, they are in form [tex]y=kx[/tex], where, k represents constant of variation.

Upon substituting [tex]y=7[/tex] and [tex]x=2[/tex] in above equation, we will get:

[tex]7=k\cdot 2[/tex]

Let us solve for k by dividing both sides by 2:

[tex]\frac{7}{2}=\frac{k\cdot 2}{2}[/tex]

[tex]\frac{7}{2}=k[/tex]

Therefore, our required equation would be [tex]y=\frac{7}{2}x[/tex] and option D is the correct choice.

Answer:

B

Step-by-step explanation:

The limit of quotient of two functions is the quotient of their limits, provided that the limit in the denominator function is not zero:

[tex]\lim_{x\to x_0}\dfrac{g(x)}{h(x)}=\dfrac{ \lim_{x \to x_0} g(x) }{ \lim_{x \to x_0} h(x) }, \text{ where }\lim_{x \to x_0} h(x)\neq 0.[/tex]

In your case,

[tex]\lim_{x \to 4} h(x)=-2\neq 0,[/tex]

then

[tex]\lim_{x\to 4}\dfrac{g(x)}{h(x)}=\dfrac{ \lim_{x \to 4} g(x) }{ \lim_{x \to 4} h(x) } =\dfrac{0}{-2}=0.[/tex]

Total discount will be of $14.85.

To calculate the total discount Jennifer received on her purchase of music CDs, each original price must be multiplied by the discount rate of 33 percent (or 0.33 in decimal form).

Let's calculate the discount for each CD first:

For the $9.99 CD: $9.99 × 0.33 = $3.30

For the $14.99 CD: $14.99 × 0.33 = $4.95

For the $19.99 CD: $19.99 × 0.33 = $6.60

Next, add up the discounts to find the total discount:

$3.30 + $4.95 + $6.60

= $14.85