What is the area of the figure? A. 360 km² B. 432 km² C. 720 km²
D. 864 km²​

Answer:

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law, "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."

[tex]F= ke[/tex]

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= [tex]\frac{15}{100}[/tex]= [tex]0.15m[/tex]

we can solve for the spring constant k

we also know that the force F = mg

assuming [tex]g=9.81m/s^{2}[/tex]

therefore

[tex]24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\[/tex]

We can use this value of k to solve for the mass that will cause an extension of  [tex]10cm= 0.1m[/tex]

[tex]x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg[/tex]

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Answer:

The third graph down

Step-by-step explanation:

-2.1 w > 12.81

Divide each side by -2.1, remembering to flip the inequality

-2.1w / -2.1 < 12.81/ -2.1

w < -6.1

There is an open circle at -6.1 and the line goes to the left

Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info

Step-by-step explanation:

I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1

Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.

Now for the little circle on the -6.1:

A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not [tex]\leq[/tex]. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly

Answer: 30 minutes, 51 seconds

Step-by-step explanation:

Given the time to run each miles to be

9.05/2,24/10/922. That is

9.05, 2.24, 10, 9.22

Time taken for her to run the entire four miles will be

9.05 + 2.24 + 10.0 + 9.22 = 30 :51

30 minutes, 51 seconds

Answer:

AB = 42.15 units

Step-by-step explanation:

In triangle ABD,

By applying Cosine rule in this triangle,

cos(30)°= [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{AD}{AB}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{AD}{47}[/tex]

AD = [tex]\frac{47\sqrt{3}}{2}[/tex]

By applying tangent rule in ΔACD,

tan(44)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(44)° = [tex]\frac{AD}{x}[/tex]

0.9657 =  [tex]\frac{\frac{47\sqrt{3}}{2}}{x}[/tex]

0.9657 = [tex]\frac{47\sqrt{3}}{2x}[/tex]

x = [tex]\frac{47\sqrt{3}}{2(0.9657)}[/tex]

x = 42.15

  ≈ 42.2 units

Answer: 4 units down.

Step-by-step explanation:

When we have the graph y = f(x)

We can do verticals translations as:

y = f(x) + a.

if a is a positive number, the new graph for y is moved a units upside.

if we want to do a translation down, we should do:

y = f(x) - a.

Now, our f(x) = IxI, and our translation is:

y = IxI - 4

You can see that we have a subtraction of a positive number (4) so we have a translation of 4 units downwards.

Answer:

X = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

2x^2 + x - 3 = 0

2x^2 + 3x -2x - 3 = 0

x(2x+3) -1 ( 2x+3) = 0

(x-1) (2x+3) = 0

x-1=0

x=1

2x+3=0

2x=-3

x=-3/2.

Answer:

16.5

Step-by-step explanation:

[tex](33/4)/(1/2)[/tex]=[tex]33/4*2[/tex]=66/4=33/2=16.5

Answer:

16 1/2 or 33/2

Step-by-step explanation:

i divided 33/4 by 1/2 which gave me 66/4 so i simplify it and it gave me 33/2 or 16 1/2

Answer:

The volume of the sphere is 32 π /3 cm^3

Step-by-step explanation:

Mathematically, the volume of a sphere can be calculated using the formula below;

V = 4/3 * pi * r^3

Now since we have the radius and diameter = 2 * radius

radius = diameter/2 = 4/2 = 2

Substituting this value into the volume equation;

V = 4/3 * pi * 2^3 = 32pi/3

Answer:

The correct answer is A

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

Q:    Which of the following equations is equivalent to S = pi r squared h?

A:     B  (CC ALGEBRA 2A, ED20)

The equations is equivalent to S = pi r squared h would be; B. h=S/πr²

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.

S = πr²h

To get h, we needd to divide both sides by the coefficient of h (i.e πr²)

S/πr² = πr²h/πr²

S/πr² = h

h = S/πr²

This equation shows that h = S/πr² is equivalent to S = πr²h

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Answer:

g(-8) = -62

Step-by-step explanation:

solve for x:

8x +2 = -62 subtract 2 from each side

8x =-64 divide by 8

x =-8

Answer:

-5^x-3x-6

Step-by-step explanation:

(-5^x - 4 + g(x) ) (x)

(-5^x - 4 - 3x -2) simplified  -5^x-3x-6

Answer:

[tex]f(x) = - {5}^{x} - 4 \\ g(x) = - 3x - 2 \\ (f + g)(x) = \\ ( - {5}^{x} - 4) + ( - 3x - 2)[/tex]

[tex]( - {5}^{x} - 4) + ( - 3x - 2) \\ - {5}^{x} - 4 - 3x - 2 \\ collect \: like \: terms \: \\ - {5}^{x} - 3x - 4 - 2 \\ [/tex]

[tex] - {5}^{x} - 3x - 6[/tex]

Answer:

Multiply 8 and 3

Step-by-step explanation:

6+ (-5-7/2) -8(3)

Using the order of operations

BODMAS

•BRACKET

•OFF

•DIVISION

•MULTIPLICATION

•ADDITION

•SUBTRACTION

The first step is to deal with the bracket

Which is

6+(-5-7/2)-24

Next is solve the next parenthesis

6+(-12/2)-24

Next

6+(-6)-24

Next

6-6-24

= -24

Answer:

A is correct answer

Step-by-step explanation:

Answer:

C. 116

Step-by-step explanation:

AC= 58*2= 116

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle ABC is half the measure of its interceptrd arc AC, thus

arc AC = 2 × 58° = 116° → C

Answer:

B,C

Step-by-step explanation:

The sum of B is 1

The sum of C is -1/2

Let's try each option.

Option A:

-3 + 5 + (-1) = 2 + (-1) = 1

FALSE

Option B:

5 + (-8) + 4 = -3 + 4 = 1

TRUE

Option C:

-19/2 + 9 = -9.5 + 9 = -0.5

TRUE

Option D:

-17 + 36/2 = -17 + 18 = -1

FALSE

So, the correct answers are B and C

Best of Luck!

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

Answer:

D: { x≥0}

Step-by-step explanation:

The domain is the input values to the function

The domain is the x values

D: { x≥0}

Answer:

Brainliest! as you promised!

Step-by-step explanation:

x>= 0

every number above 0 is a answer becuase the domain is the x-axis and the line starts at 0 and keep on going to the right

Answer:

20 and 28

Step-by-step explanation:

Let x represent the current age of Hari and y represent the current age of Harry

Since the current ratio is 5:7:

5/7 = x/y  

→ 5y = 7x  (1)

Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:

3/4 = (x+4)/(y+4)  (2)

→ 3(y+4) = 4(x+4)

→ 3y + 12 = 4x + 16

→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)

→ 3(7x/5) = 4x + 4

→  21x = 20x + 20

→ x = 20

y = 7x/5 = 7(20)/5 = 28

Answer:

A) 6

Step-by-step explanation:

[tex]\sqrt{(5 - (-1))^{2} + (2-2)^{2} } = \sqrt{36} = 6[/tex]

Answer:1/16

Step-by-step explanation:

So I plugged in -4 for x

f(x)=2^-4= 1/16

hope that helps

Answer:

6.13 days

Step-by-step explanation:

Hello,

This question directly relates to radioactivity of a substance.

Data,

k = 0.113

Initial mass (No) = 38g

Half life of the substance (T½) = ?

To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.

T½ = ln2 / k

Note : ln2 is a constant derived while k is the decay constant of the substance

T½ = 0.693 / 0.113

T½ = 6.13 days

The half life of the substance is 6.13 days

Answer:

the answer to this question is

[tex]8x^{2} +2x[/tex]

Answer:

Selling price - cost price = profit, when Selling Price is more than Cost Price

Cost price - selling price = loss, when cost Price is more than sellIng Price

Answer:

b = -4

Step-by-step explanation:

Divide by 2:

b + 12 = 8

b = -4

Answer:

B = -4

Step-by-step explanation:

Take,

-4 + 12 = 8

Then,

8 x 2 = 16.

Answer:

y = -3/4x - 2

Step-by-step explanation:

You put the equation in the slope-intercept form. Remember that the perpendicular slope is the negative reciprocal. You plug in the slope and the point into the slope-intercept formula. Solve for b then plug it into the final formula.

The equation of the line that passes through the point (8,-8) and is

perpendicular to the line 4x – 3y = 18 is;

⇒ 3x + 4y = -8

Here,

The point is (8, -8)

And, The equation of line is, 4x - 3y = 18

What is Equation of line?

The equation of line passes through points (x₁, y₁) and has slope m is;

y - y₁ = m₂ (x - x₁)

Now,

The point is (x₁, y₁) = (8, -8)

And, The equation of line is, 4x - 3y = 18

Put into the slope form as;

4x - 3y = 18

4x - 18 = 3y

y = (4/3)x - 6

Hence, Slope of the given line = 4/3

The slope (m₁) of perpendicular line relationship is;

4/3 * m₂ = -1

m₂ = -3/4

Hence, slope of perpendicular line (m₂) = -3/4

So, The equation of line by using point/slope form is;

y - y₁ = m₂ (x - x₁)

y - (-8) = -3/4 (x - 8)

y + 8 = -3/4 (x - 8)

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

4y + 32 = -3x + 24

3x + 4y = -8

Hence, The equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x – 3y = 18 is;

⇒ 3x + 4y = -8

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Answer:

It's A 100%

Step-by-step explanation:

Took the quiz

Answer:

Answer B

Step-by-step explanation:

when you simplify it u get x^2+12+36