What is 46% of 22? Use a fraction and express your answer in simplest form.

Answer:

Radius. 7, 25, 14, 35, 50, 70

Diameter 14, 50, 28, 70, 100, 140

Answer:

Angle  [tex]m\angle 1 = 35^o[/tex]

Step-by-step explanation:

Our goal is to find appropriate symmetries within the given diagram, so we can use the property of the addition of internal angles of a triangle that render  [tex]180^o[/tex].

So we start by drawing a line that goes through the center of the circle and also through the vertex of angle [tex]m\angle 1[/tex]. Please see the attached image to follow the procedure. In the image, the line is a fine black line that crosses the circle completely.

Now we draw the four radii that will define clearly the central angles of [tex]100^o[/tex] and [tex]30^o[/tex] that come as information.

Then we set our efforts to analyze the two triangles (one marked with green borders, and the other one marked with orange borders. Notice that the angle on the further right for the triangle with orange borders is in fact half of the angle [tex]m\angle 1[/tex] that we need to find, so we will work our way to determine the size of it and then multiply it by two.

We need to start though with the triangle with green borders because it has more information that we can derive.

Notice that this green triangle has a central angle equal to [tex]115^o[/tex], because it has to measure the same as 180 degrees minus half of the 100 degrees angle and minus half of the 30 degree angle  in order to add to form the perfect plane angle of the circle's diameter:  

[tex]180^o-50^o-15^o=115^o[/tex]

Now, notice as well that this green triangle is an isosceles triangle (has two equal sides (both equal to the radius of the circle), and therefore the angles opposite to them must be equal. We can find the measure of either such angles by using the property of additions of internal angles of a triangle to render [tex]180^o[/tex], subtracting from it the 115 degree angle we know, and dividing the result by two:

[tex]180^o-115^o=65^o[/tex]

half of this is [tex]32.5^o[/tex]

Now we use this angle, to find its supplementary angle, which would be the angle on top of the orange triangle:

[tex]180^o-32.5^o=147.5^o[/tex]

Now all we need is to use the property of addition of internal angles for the orange triangle (of which we currently know a 15 degree angle and a 147.5 degree angle) to find what half of angle  [tex]m\angle 1[/tex]  is:

[tex]180^o-147.5^o-15^o=17.5^o[/tex]

then angle  [tex]m\angle 1[/tex] is twice this value:  [tex]m\angle 1 = 35^o[/tex]

Answer:

24 years

Step-by-step explanation:

James Age = 9 years

Rose's Age = 15 years

Sum of their Ages = 9+15

Sum of their Ages = 24 years

Answer:

the first one

Step-by-step explanation:

The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.

Answer:

So how many he has left to do???

I think Salim has to finish 5 more problems

Step-by-step explanation:

Answer:

Step-by-step explanation:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Answer:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

If you go from 2 parts pineapple to 8, thats a 4x increase. Therefore 6x4=24 (6 from the Ginger)

Answer:

answer is B

Step-by-step explanation:

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

A sphere is a three dimensional solid shape. It is a set of points that are all at the same distance r from a common point. The distance r is the radius and the common point is the centre of the sphere.

Here,

The radius of the sphere is given by,

r = 12 units

The equation for volume of a sphere with radius r is given by,

V = 4/3 [tex]\pi[/tex]r³

So, the volume of the sphere is,

V = 4/3 x [tex]\pi[/tex] x 12³

V = 2.304 [tex]\pi[/tex]

V = 7234.56 unit³

Hence,

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

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Answer:

What diagram though?

'

Step-by-step explanation:

Step-by-step explanation:

subtract 21 from both sides

x2+2x+7-21=21-21

x2+2x+14=0

use quadratic equation

x=(-3+-(b^2-4ac)^1/2)/2a

in our equation a=1,b=2and c=14

(-2+-(14+56)^1/2)/2

x=-1+(60^1/2)/2

there is only one positive answer and it is 2.87

Answer:

the answer is A. (-4,1)

Step-by-step explanation:

because the point is inside of the shades area of the function. meaning is including the value. the other two points are in the dotted line meaning is not included  

Answer:

You should be right

Step-by-step explanation:

Srry if I am wrong though

Answer:

4

Step-by-step explanation:

20/5 = 4

Answer:

4

Step-by-step explanation:

cause 20/5 is 4 meaning it represents 4

Answer:

                                                                                                                                                     32

Step-by-step explanation:

2b+6=70

      -6=70-6=64

       [tex]\frac{2b}{2}[/tex]=64÷ 2

         b=32

beaten it's a visable line beween the equal line

Answer:

x=3               x = -8           x = 11

Step-by-step explanation:

f(x) = (x − 3)(x + 8)(x − 11)

Using the zero product property

0 = (x − 3)(x + 8)(x − 11)

0 = x-3      0 = x+8     0 = x-11

x=3               x = -8           x = 11

Answer:

x=3               x = -8           x = 11

Hope this helps!

Answer:

8t+4=76

Step-by-step explanation:

An equation needs an equals sign otherwise it is an expression

Answer:

27

Step-by-step explanation:

Given that:

(15+17+22+14+19+x) divided by 6 = 19

(87 + x) divided by 6 = 19

87 +x = 114

so x = 27.

Therefore the age of person 6 = 27

Answer:

3014.4ft³

Step-by-step explanation:

V=Πr²h(volume of cylinder)

=(3.14)(8)²(15)

=3014.4ft³

True if the lines were not vertical this would be false.

Answer:

x= -3

Step-by-step explanation:

12x-8x = -20+8

4x = -12

x= -12/4

x = -3

Steps:

Step 1: Subtract 8x from both sides.

12x−8−8x=8x−20−8x

4x−8=−20

Step 2: Add 8 to both sides.

4x−8+8=−20+8

4x=−12

Step 3: Divide both sides by 4.

4x/4   =    −12/4

Answer: x=−3

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Hope this helps.

Answer:

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Step-by-step explanation:

I'm not too good with the quadratic formula so I'm going to complete the square.

First divide everything by 9 and move the 1 to the other side.

[tex]x^2-\frac{7}{9}=-\frac{1}{9}[/tex]

Then take half of [tex]\frac{7}{9}[/tex] and square it and add it to both sides.

[tex]x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}[/tex]

Now you can factor it.

[tex](x-\frac{7}{18})^2=\frac{13}{324}[/tex]

Square root:

[tex]x-\frac{7}{18}=\frac{\sqrt{13} }{18}[/tex]

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Answer:

Using CPCTC we can derive that WM = 8 and OL = 10.

Answer:

I would say 9

Step-by-step explanation:

range is the difference between the largest and the smallest values in a data set.  the range in this case is 3. so, we have to either add to 6 or subtract from 6.

but we've been told that Lee's shoe size is not three so it 6 + 3 = 9.

hope this helps

Answer:

-616

Step-by-step explanation:

First subtract 35 with 21 since 35 is a negative. then subtract 45 with 1

for the first parenthesis would be -14. the second parenthesis would be 44.

then multiply both of the answers together to get -616

Answer:-220

Step-by-step explanation:

Answer:

96%

Step-by-step explanation:

0.96 × 100/100

(0.96 × 100)× 1/100 = 96/100

percentage = 96%

Answer:

96%

Step-by-step explanation:

Answer:

A. XY

Step-by-step explanation:

XY because it's opposite to the greatest angle.

Answer:

A.XY

Step-by-step explanation:

___________________________

Hey!!

Solution

4a+6=12-2a

or,4a+2a=12-6

or,6a=6

or,a=6/6

a=1

The value of a is 1.

hope it helps...

Good luck on your assignment

_________________________

value of 6a = 6* 1 = 6

In a linear equation coefficients can be positive or negative values and in which the highest power of the variable is always 1 .

according to question the linear equation given is :

4a + 6 = 12 - 2a

find = 6a ?

4a + 6 = 12 - 2a

6a = 12 - 6

6a = 6

a = 1

since , substituting value of a

6a = 6* 1 = 6

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Answer:

The answer is 6

Step-by-step explanation:

p(x) = x  + 3

p(-x) = -x + 3

=> p(x) + p(-x) = x + 3 + (-x) + 3 = 6

Hope this helps!

:)

Answer:

slope = - 7, y- intercept = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x + 2 ← is in slope- intercept form

with slope m = - 7 and y- intercept c = 2