In the figure, PA and PB are tangent to circle O and PD bisects angle BPA. the figure is not drawn to scale

Answer:

8 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (7-3) * (4-0)

   = 1/2 4*4

   = 8

Answer:

Step-by-step explanation:

it is the tangent of the angle slope makes with the horizontal.

Answer:

3 chairs

Step-by-step explanation:

1/2 is the same as 3/6

There are three 1/6 in 3/6.

(3/6) ÷ (1/6) = 3

The requried, she painted 3 chairs as of the given proportion.

Proportionality is the relationship between two or more sets of values, and it describes how these values are related to each other.

Here,
Let's assume that the number of chairs she painted is represented by the variable 'c'.

We know that she used 1/6 of a can of paint for each chair. So, the total amount of paint used for all the chairs can be expressed as:

1/6 x c = c/6

We also know that she used 1/2 of a can of paint in total. So we can set up the equation:

c/6 = 1/2

To solve for 'c', we can multiply both sides of the equation by 6:

c = 3

Therefore, she painted 3 chairs.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ3

Answer:

Step-by-step explanation:

5•-4= -20

5•-3x= -15x

-6x•-4= 24x

-6x•-3x= 18x^2

Answer:

20 : 15x

:

: : : : :

24x : 18x

:

Step-by-step explanation:

5×-4=20

5×-3x=-15x

-6x×-4=24x

-6x×-3x=18x

// have a great day //

The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Step-by-step explanation:

|-5| who’s absolute value is 5 is representing temp form 0 to -5

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.

According to question

At 7pm, the temperature outside was -5

And |-5| = 5 (which is absolute value)

And represent count of temp from 0 to -5 .

Hence, |-5| who’s absolute value is 5 is representing temp form 0 to -5

To know more about modulus here :

https://brainly.com/question/10737199

# SPJ2

Solve the following equation : 2x+3x= 40

then, multiply the value of "x" by 2.

Hope it helps

Answer:

The final answer is [tex]\frac{8}{27}[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

-Simplify [tex]2^{2}[/tex] :

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]3^{-1}[/tex] :

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]4[/tex] and [tex]\frac{1}{3}[/tex] :

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]4^{-1}[/tex] :

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]\frac{4}{3}[/tex] and [tex]\frac{1}{4}[/tex] together:

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]\frac{1}{3}^{-1}[/tex] :

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

-Then, on the denominator,  simplify [tex]2^{-3}[/tex] :

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

Simplify [tex]3^{4}[/tex] :

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 81[/tex]

Multiply both [tex]\frac{1}{8}[/tex] and [tex]81[/tex] together:

[tex]3 \over \frac{1}{8} \times 81[/tex]

[tex]3 \over \frac{81}{8}[/tex]

Divide [tex]3[/tex] and [tex]\frac{81}{8}[/tex] by multiplying [tex]3[/tex] by the reciprocal of [tex]\frac{81}{8}[/tex] :

[tex]3 \over \frac{81}{8}[/tex]

[tex]3 \times (\frac{81}{8})[/tex]

-And you multiply [tex]3[/tex] and [tex]\frac{81}{8}[/tex] together:

[tex]3 \times (\frac{81}{8})[/tex]

[tex]\frac{8}{27}[/tex]

So, the final answer would be [tex]\frac{8}{27}[/tex] .

Answer:

-4 <x< -2

Step-by-step explanation:

you need to plot the line between -4 and -2

Answer:

16x² + 24x + 9

Step-by-step explanation:

16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²

Answer:

X=55°

Y=30°

Step-by-step explanation:

2y=x+5

Y=1/2x+2.5

3y+30=4x-100

3(0.5x+2.5)+30=4x-100

1.5x+7.5+30=4x-100

4x-1.5x=137.5

2.5x=137.5

X=55°

Y=30°

Answer:

[tex]x = 55\\y = 30\\[/tex]

Step-by-step explanation:

Finding x:

4x - 100 + x + 5 = 180 (Angles on a straight line)

5x - 95 = 180

5x = 180 + 95

5x = 275

Dividing both sides by 5

x = 55

Finding y:

2y + 3y +30 = 180 (Angles on a straight line)

5y = 180-30

5y = 150

Dividing both sides by 5

y = 30

Answer:

7

Step-by-step explanation:

We can simplify the equation to

12 = 2x - 2

Add 2 to both sides

14 = 2x

Divide by 2

x = 7

Answer:

7

Step-by-step explanation:

Answer:

The median weight for shelter A is greater than that for shelter B.

The data for shelter B are a symmetric data set.

The interquartile range of shelter A is greater than the interquartile range of shelter B.

Answer:

the slope is zero because

Step-by-step explanation:

this is a perfect horizontal line passing through y=-3

I've been thought

hope it helps

Answer:

Slope = 0

This is because the line does not go up or down. And the line is horizontal leading to the factor of the slope being 0.

Answer:

Horizontal

Step-by-step explanation:

Answer:

1- vertical

2-horizontal

Step-by-step explanation:

Read the defitions! Hope this helped!

Answer:

C. (8, 4)

Step-by-step explanation:

I graphed it

Answer:

(8,4)

Step-by-step explanation:

4x + 7y= 60

- 4x + 7y= -4

Add the two equations together to eliminate x

4x + 7y= 60

- 4x + 7y= -4

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

  14y = 56

Divide each side by 14

14y/14 = 56/14

y = 4

Now find x

4x +7y = 60

4x +7(4) = 60

4x+28 = 60

Subtract 28 from each side

4x = 60-28

4x= 32

Divide by 4

4x/4 = 32/4

x =8

Answer:

Two sides of the rectangle will extend from the wall of the house, one side of the rectangle will run parallel to the house 40 ft..

Step-by-step explanation:

2x + 40 = 150

or

x + x + 40 = 150

Answer:

(0,0) (2,4) (-2,-4)

Step-by-step explanation:

Answer:

(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)

Step-by-step explanation:

36 = 6 x 6

6 = 3 x 2

36 = 3 x 2 x 3 x 2

48 = 12 x 4

12 = 3 x 4

4 = 2 x 2

48 = 2 x 2 x 2 x 2 x 3

Answer: 2

Step-by-step explanation:

Answer:

The Radius of the circle of center (-4, 3) is 2.

Radius = 2

Step-by-step explanation:

This is the general form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

Let's convert this to standard form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

[tex]x^2+y^2+8x-6y=-21[/tex]

Group/organize [tex]x[/tex] and [tex]y[/tex] terms:

[tex]x^2+8x+y^2-6y=-21[/tex]

[tex](x^2+8x)+(y^2-6y)=-21[/tex]

Now, let's begin the process to complete the square in both parentheses.

[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]

[tex](x+4)^2+(y-3)^2=4[/tex]

Answer:

800

Step-by-step explanation:

lol ain't even a cube das a rectangle

The quick way to get the answer is just type "42 choose 11" into Google.

Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.

Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.

Final expression:

C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

Answers:

4,280,561,376 ways

Answer:

42,11

Step-by-step explanation:

Answer:

(-∞,+∞) interval notation

it is not clear if the square root on the x only or the four too.

the answer above is if the equation is :

√x +4/x -2

Answer:

10

Step-by-step explanation:

Answer:

for 1 its -0.25 and 1.25

for 2 its -0.5. and 1.5

Step-by-step explanation:

idk if there is,  but just use the graph + common sense.

you don't need to solve it in any way

Answer:

Joe’s mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4/5. Bob’s mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9/10. Since 9/10 is larger than 4/5, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.

Step-by-step explanation:

edge 2020

Answer:

Sample Answer: Joe’s mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4/5. Bob’s mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9/10. Since 9/10 is larger than 4/5, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.

Step-by-step explanation:

Answer:

The volume of the right rectangular prism is 12* 8.5 * 4 = 408  content density is 0.25 pounds

Step-by-step explanation:

Answer:

The volume of the figure given is:

Step-by-step explanation:

To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.

Volume of the cylinder.

The formula to find the volume of a cylinder is:

Where:

PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).

r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)

h = height (in this case is 7 cm too, you can find these values in the figure given)

Now we must replace the values:

Volume of the rectangular prism.

The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:

When we replace the values given in the figure:

At the last, we add the two volumes found:

Answer:6.3 in.

Step-by-step explanation:

Given

Radius of sphere [tex]r=4\ cm[/tex]

When ball is immersed in beaker, it causes the water to flowout of beaker which is collected in the conical vessel

Such that amount of water equivalent to sphere volume is collected in it.

volume of ball

[tex]V_s=\frac{4\pi }{3}r^3[/tex]

[tex]V_s=\frac{4\pi }{3}\times 4^3[/tex]

[tex]V_s=\frac{256\pi }{3}\ cm^3[/tex]

Now volume of water collected is in shape of cone then volume of cone

[tex]V_c=\frac{\pi }{3}r^2h[/tex]

and [tex]V_s=V_c[/tex]

[tex]\frac{256\pi }{3}=\frac{\pi }{3}(4)^2\times h\ quad [\text{h=height of cone formed}][/tex]

[tex]h=4^2=16\ cm\approx 6.29\approx 6.3\ in.[/tex]