9a. Which equation is set up correctly
to solve for x in the following
diagram?
7 + 18x
20.x - 5
1) 20x - 5+ 7 + 18x = 90
2) 20x - 5 + 7 + 18x = 180
3) 20 X - 5 = 7 + 18x
4) 20x - 5 + 7 + 18x = 360

Answer:

the vertex is (4,-1)

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

The volume of frustum of cone is   [tex]42.75\pi[/tex]

Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

Where,

R = Radius of the bigger circular end

r = radius of the smaller circular end

H = height of frustum

According to the question

Original height of cone = 9 cm

Radius of the bigger circular end = 4.5 cm

Radius of the smaller circular end = 3 cm

Height of frustum = 3 cm

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

                                              = [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]

                                              =  [tex]\pi [ 20.25 + 9 + 13.5][/tex]

                                              = [tex]42.75\pi[/tex]

Hence, The volume of frustum of cone is   [tex]42.75\pi[/tex] .

To know more volume of frustum of cone here:

https://brainly.com/question/24383178

#SPJ2

Answer:

22

Step-by-step explanation:

5(5) -3

25-3

22

Answer:

the answer is 22.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

to see, plug in -5 for x and find your y outcome.

y = 7(-5) -5

y = -35 - 5

y = -40

since y does not equal 0, (-5,0) is not a solution for the equation.

Answer:

no

Step-by-step explanation:

y = 7x − 5?

Substitute the point into the equation

0 = 7(-5) -5

0 = -35-5

0 = -40

This is not true so (-5,0) is not a solution

Answer:

The answer is -2.968

Step-by-step explanation:

I took the test and got it right unlike the other person who got it wrong for me.

Answer:

164

Step-by-step explanation:

82 multiplied by 2

Answer:

164

Step-by-step explanation:

2 *82=164

Answer:

5[tex]\frac{3}{50}[/tex]

Step-by-step explanation:

0.06 = 6/100 = 3/50

Answer:

5 [tex]\frac{3}{50}[/tex]

Step-by-step explanation:

Answer:

y = 4x + 6

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 )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 2, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = 4x + 6 ← equation of line

Answer:

see explanation

Step-by-step explanation:

1

Given

2x² - 16 = 0 ( add 16 to both sides )

2x² = 16 ( divide both sides by 2 )

x² = 8 ( take the square root of both sides )

x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]

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

2

Given

- 5x² + 9 = 0 ( subtract 9 from both sides )

- 5x² = - 9 ( divide both sides by - 5 )

x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]

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

3

Given

6x² - 15 = 27 ( add 15 to both sides )

6x² = 42 ( divide both sides by 6 )

x² = 7 ( take the square root of both sides )

x = ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

-12 +7

=-5 .

Therefore, 5-19-5

= -19.

In all, -12+7 can not be 5-19 or 19

Answer:

option 1

Step-by-step explanation:

formula:(x-h)^(2)*(y-k)^(2)=r^2

well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2

if you move the circle 2 units up, plug it in you get (-2), so it is

(x+3)^2*(y-2)^(2)=r^2

now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus

(x+3)^2*(y-2)^(2)=9

this is the answer, and the option that has it is answer is option 1

Answer:

5/11

Step-by-step explanation:

Since the events are overlapping...

P(A or B) = P(A) + P(B) - P(A and B)

P(A) = 4/11

P(B) = 3/11

P(A and B) = 2/11

P(A or B)  = 4/11 + 3/11 - 2/11

P(A or B)  = 5/11

Answer:

5/11

Step-by-step explanation:

Answer:

Step-by-step explanation:

2:3  = 6: ___

[tex]\frac{2*3}{3*3}=\frac{6}{9}[/tex]

2:3 = 6 :_9___

Answer:2:3=6:9

Step-by-step explanation:

2×3/3×3=6/9

2:3=6:9 !!!!!!!!

Answer:

14°

Step-by-step explanation:

→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.

→The temperature is -14, so to get it to 0, you add 14:

-14 + 14 = 0

Answer: 14 degrees

Step-by-step explanation:

-14 + x = 0

Answer: 30%

Step-by-step explanation:

Difference is (2000 - 1400) = 600

%age reduction 600/2000 x 100 = 30%

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

[tex]5x-y+150=180[/tex]       ...........(1)

[tex]5x-y=180-150[/tex]

[tex]5x-y=30[/tex]      ............(2)

[tex]5x+y+130=180[/tex]       ...........(3)

[tex]5x+y=180-130[/tex]

[tex]5x+y=50[/tex]        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

[tex]5x-y+5x+y=30+50[/tex]

[tex]10x=80[/tex]

[tex]x=8[/tex]

Now we are putting the value of x in 4, we get the value of y.

[tex]5x+y=50[/tex]

[tex]5(8)+y=50[/tex]

[tex]y=50-40[/tex]

[tex]y=10[/tex]

Therefore, the value of x and y is 8 and 10 respectively.

Answer: B

Step-by-step explanation:

Given that the scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero. That is, (0 , 4 ) to ( 7, 0 )

Let's first find the slope M

M = (0 - 4)/( 7 - 0)

M = - 4/7

Since the line of best fit is linear, let adopt general equation of straight line

Y = MX + C

As the line passes through ( 0 , 4 )

Substitutes for Y and X

4 = - 4/7 (0) + C

C = 4

Where C = intercept

The equation for the line of best fit to represent the data will be:

Y = - 4/7 X + 4

Y equals negative two thirds times x plus 4

Answer:

It is B.

Step-by-step explanation:

I took the test...  :)

Answer:

2) 5 to 10

Step-by-step explanation:

The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.

Analyzing the intervals:

In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.

In the interval from 5 to 10 the height hardly changes.

In the interval from 10 to 15 the height changes more than in the previous interval (downward).

And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.

thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).

u = 9 i - 6 j

v = -3 i - 2j

w = 19 i + 15 j

u • v = (9 i - 6 j) • (-3 i - 2j)

Distribute the dot products:

u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)

i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have

u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15

In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.

u • w = 9*19 + (-6)*15 = 81

Answer:

A I believe

Step-by-step explanation:

Edge2021

Answer:

  2/3

Step-by-step explanation:

Your model may show you that 1/4 = 2/8. Of course that will be 2 out of 3 of the 3/8 making up the other fraction of the same whole.

  1/4 = 2/3 of the fraction 3/8

Answer:

3. 16a+24b

Step-by-step explanation:

I know this because I grouped the eqatiobs together

Answer:

#3. 16a + 24b

Step-by-step explanation:

P= 2( length plus width).

Answer:

Choice C

Step-by-step explanation:

[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]

Hope this helps!

Answer:

10x7 y 4

Step-by-step explanation:

i just answered it

Answer:

30 minutes

Step-by-step explanation:

Dina took 2 hours to finish the path, since she biked at 10 km/h.

This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.

To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.

Answer:

A'(7,3), B'(11,7) and C'(9,5).

Step-by-step explanation:

The vertices of given triangle are A(4,5), B(8,9), and C(6,7).

Given rule of translation is

[tex](x,y)\rightarrow (x+3,y-2)[/tex]

We need to find the vertices of triangle A'B'C'.

Now,

[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]

[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]

[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]

Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).

Answer:

35.06

Step-by-step explanation:

So you  have to multiply 27.50 by 0.075 to find the sales tax.

2.0625 ≈ 2.06

If the tip is off the original price, you multiply 27.50 by 0.2.

5.5

The whole meal is 27.50 + 5.50 + 2.06 = 35.06

Total cost of meal is $35.06.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

The bill amount = $27.50

tax amount = 7.5%

tip amount = 20%

Now 7.5 % of bill amount

=  27.50x 7.5/100

=  27.50 x 0.075

=2.0625

≈ 2.06

Now 20% of bill amount is

= 27.50 x 20/100

= 27.50x0.2

= 5.5

Now,

The total cost

=  27.50 + 5.50 + 2.06

= 35.06

Hence $35.06 is the total cost.

Learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ3