1. Calculate the volume of the following shapes.
I
a)
9m
8m
5m
It’s a rectangle

Answer:

= 3 /2 ±  √ 3

Step-by-step explanation:

The points lie on the given inequality y ≥ 2x-4 are  (0,1) and (10,16)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that an inequality y ≥ 2x-4

We need to check whether the given points lie on the solution of the inequality or not,

1) (5, 4)

Put x = 5

2×5-4 = 10-4 = 6

4 ≥ 6, this is a contradiction which means (5, 4) do not lie on the solution,

2) (0, 1)

Put x = 0

2×0 - 4 = 0-4 = -4

1 ≥ -4, satisfying the condition hence lies on the solution.

3) (10, 16)

Put x = 10

2×10-4 = 20-4 = 16

16 = 16. satisfying the condition hence lies on the solution.

4) (2, -1)

Put x = 2,

2×2-4 = 4-4 = 0

-1 ≥ 0, this is a contradiction which means (5, 4) do not lie on the solution,

Hence, points lie in the solution set of the inequality are (0,1) and (10,16)

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9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.

Answer: A “The Frequency is 31 lower than expected.”

Step-by-step explanation:

The frequency is 12 fewer than expected.

Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.

The experimental relative frequency at which the coin lands heads up is [tex]\frac{19}{50}[/tex] or 0.38.

If the coin were a fair one, we would expect that it had heads up 25 out of 50 times, which would be a relative frequency of 0.50.

Since this is not happening, we conclude that the coin is NOT a fair one.

Expected frequency = 0.50

Experimental relative frequency = 0.38

= 0.50 - 0.38

= 0.12 or 12 %

Hence, the frequency is 12 fewer than expected.

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Answer:

X=24 Z=110

Step-by-step explanation: correct me if im wrong because im not 100% sure.

Answer:

z=110° and x=24°

Step-by-step explanation:

z°=(5x-10)°[Being the pair of vertically opposite angle]

z+70°=180[Being the pair of straight angle]

or, z=180-70

z= 110

Again ,

z=(5x-10)°

or, 110=5x-10

or, 110+10=5x

or, 120=5x

or, 120/5=x

x=24°

Answer:

9.42857142857

Step-by-step explanation: Is a long decimal so you could just round it to 9.43

Answer:

B. Yes, by the AA Similarity Postulate

Step-by-step explanation:

This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...

m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)

m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°

Then from here we know that

m∠BDC = 180° - 85° - m∠CBD

m∠BDC = 95° - 42°

m∠BDC = 53°

From here we see that they are similar because of the AA Similarity Postulate, since

m∠ABE = m∠CBD = 42°

m∠BDC = m∠EAB = 53°

m∠AEB = m∠BCD = 85°

Step-by-step explanation:

A computer software company models its profit with the function :

[tex]P(x) = x^2 + 15x -34[/tex] ....(1)

Where

x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.

We need to find the number of games the company sell to get $16,000 in profit.

Put P(x) = 16,000 in equation (1).

[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]

Using quadratic formula with a=1, b=15, c=-16034.

[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]

Neglecting negative value,

No of games = 134 (approx)

Answer:

i dont know what you need 35% as but..

Step-by-step explanation:

Decimal : 0.35

Fraction: 7/20

Answer:

9.4247

Step-by-step explanation:

c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.

Answer:

he will pay $133.10

Step-by-step explanation:

Step-by-step explanation:

Its option D

As, for red $12 is charged

So 35 x $12 = 420

And white is $10

So, 20 x 10 = $200

= $420 + $200 = $620

Hope this helps

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

Answer:

3x+9

Step-by-step explanation:

If it’s multiple choice the other one is

x +1+1+1+x +1+1+1+ x +1+1+1

I hope this helps!

Answer:

that is true

Step-by-step explanation:

i think it's help

Step-by-step explanation:

The advertising are telling the truth value of this questions

Answer:

(C)DC = 6 StartRoot 3 EndRoot in.

(D)AC = 12 StartRoot 3 EndRoot in.

Step-by-step explanation:

Answer:

-2²   - (-8)  + 1

Step-by-step explanation:

The values given are:

             w = -2 and v = -8

Expression given:

             w² - v + 1

When we substitute, we put a certain value in place of another. In an equation, variables are used as placeholders.

 For this problem:

     w = -2

      v  = -8

So;

            -2²   - (-8)  + 1

Answer:

Given that w=-2 and v=-8

The expression is w²-v+1

Now putting the value of w=-2 and v=+8 in the given expression, we get

(-2)²-(-8)+1

Hence, (-2)²-(-8)+1 is the right answer.

Answer:

Area formula: l x w

= 8 x 3

24 cm^2

Perimeter formula: Sum of all sides

= 8+8+3+3

= 25 cm

Answer: 24cm

Step-by-step explanation:

8 multiplied by 3

Picture relating to the question is attached

Answer:

Andy = 1/2

Bill = 1/8

Carl = 1/8

Evan = 1/8

Dirk = 1/8

Step-by-step explanation:

According to the picture depicting the sharing of the land :

Fraction of the total rectangular plot = 1

Andy got a portion of the whole divided into 2 = 1/2

Fraction left after Andy's portion:

1 - 1/2 = 1/2

1/2 of the fraction left was divided equally between Dirk and Evan

Hence ;

1/2 of 1/2 = 1/2 * 1/2 = 1/4

Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Fraction of land left :

1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4

1/4 was divided equally into 2 for Bill and Carl:

Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Answer:

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

x = 3

y = -1

Step-by-step explanation:

pretty sure thats right! have a great day!

Answer:

12

Step-by-step explanation:

The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.

Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.

Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.

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Answer:

4 and 1/2 miles (or 9/2 miles)

Step-by-step explanation:

I would set this up as a proportion

3/4          x

10          60

Cross multiply

60 x 3/4 = 45

Divide

45/10 = 4.5

4.5 = 4 and 1/2 miles

Answer:

there are

16, 8, 12 and 4 different animals

Step-by-step explanation:

Step-by-step explanation:  

Step one:  

given data

Number of Animals = 40

The given ratio is = 4:2:3:1  

The total ratio is = 4+2+3+1= 810

Step two;

Applying the part to all method

The first animal  

4/10=x/40

cross multiply  

10x= 40*4  

divide both sides by 10

x= 160/10

x= 16

for second we have  

2/10=x/40

cross multiply  

10x= 40*2  

divide both sides by 10

x= 80/10

x= 8

for the third  we have

3/10=x/40  

cross multiply  

10x= 40*3  

divide both sides by 10

x= 120/10

x= 12

for the fourth  we have

1/10=x/40  

cross multiply  

10x= 40*1  

divide both sides by 10

x= 40/10

x= 4

Answer:

the second one

so B

Step-by-step explanation:

Answer:

3.15=315% is true

Step-by-step explanation:

The last one D is true

I hope this helps. Best of luck

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm