H varies directly to the cube of c. When H =40 c=2. find the value of when H=5000

Given:

Consider the below figure attached with this question.

[tex]\angle ABO=20^\circ[/tex]

[tex]\angle ACO=30^\circ[/tex]

To find:

The value of x.

Solution:

Draw a line segment OA as shown below.

In triangle ABO,

[tex]OA=OB[/tex]      [Radii of same circle]

[tex]m\angle BAO=m\angle ABO=20^\circ[/tex]        [Base angles of an isosceles triangle]

In triangle ACO,

[tex]OA=OC[/tex]      [Radii of same circle]

[tex]m\angle CAO=m\angle ACO=30^\circ[/tex]        [Base angles of an isosceles triangle]

Now,

[tex]m\angle BAC=m\angle BAO+m\angle CAO[/tex]

[tex]m\angle BAC=20^\circ+30^\circ[/tex]

[tex]m\angle BAC=50^\circ[/tex]

Central angle is always twice of angle subtended by two points on the circle.

[tex]m\angle BOC=2\times m\angle BAC[/tex]

[tex]x=2\times (50^\circ)[/tex]

[tex]x=100^\circ[/tex]

Therefore, the value of x is 100°.

Answer:

15

Step-by-step explanation:

brainliest plzzz

Answer:

X=16

cos∅ = opposite/hypotenuse

Cos60 = 8/x

8/cos60 = x

x = 16

hope this helps!

Answer:

The equation of the line that is perpendicular to y = -x – 10 and contains point (-12, 1)

[tex]y=x+13[/tex]

Please note there is something wrong with the  values given question. This is correct answer.

Step-by-step explanation:

Slope of line y = -x – 10 is m1=-1

Since slope of perpendicular lines are negative reciprocal of each other

Slope of other line is m2=1

Equation of line contains point (-12, 1) and having slope m2=1 is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1 = 1(x+12)[/tex]

[tex]y =x+12+1 \\y = x + 13[/tex]

Answer:

t to the 2 power

Step-by-step explanation:

The expression for a number t cubed is t³.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6.

As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between.

Given statement:

a number t cubed

Here the number be t.

So, the number t is cubed which can be written as

= t³

Hence, the expression is t³.

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Answer:

72°

Step-by-step explanation:

So the three angles of a triangle always add up to 180°. This means that

[tex]15x + 21x + 24x = 180[/tex]

This becomes:

[tex]60x = 180[/tex]

And solves as:

[tex]x = 3[/tex]

The largest angle has to be the one marked with 24x because it has the largest coefficient and x is a constant.

[tex]24x = 24(3) = 72[/tex]

The measure of the largest angle in the triangle is 72°.

72 degrees is the biggest angle in the given triangle.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given that the three angles of the triangle are 24x, 21x, and 15x

Since the sum of all the angles of the triangle is always 180 degrees

Thus,

24x +21x + 15x = 180

60x = 180

x = 3

Thus, the biggest angle would be 24x

biggest angle of triangle = 24 * 3 = 72

Therefore, the biggest angle of the given triangle is 72 degrees

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9514 1404 393

Answer:

  1/12

Step-by-step explanation:

The slope of a ramp (or anything else) is the ratio of its "rise" to its "run."

The rise is the vertical change. Here, that is shown as 3 m.

The run is the horizontal change. Here, that is shown as 36 m.

Then the slope is ...

  [tex]\text{slope }=\dfrac{\text{rise}}{\text{run}}=\dfrac{3\text{ m}}{36\text{ m}}=\boxed{\dfrac{1}{12}}[/tex]

__

Additional comment

If this were a line on a graph, the slope would be calculated the same way. When the rise is positive to the right, the slope is positive. On a graph, if the rise is negative as you go to the right, the slope is negative.

Answer:

-34

Step-by-step explanation:

Answer:

A. -34

Step-by-step explanation:

Answer:

30

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Step-by-step explanation:gfdgdfg

The area of the garden is increased by 20 % . If the width remains the same, then the new length of the garden is 2.4 yards.

The area of Rectangle is length times of width.

Given that A decorative fence surrounds a rectangular flower garden that is 2 yards long and 3 yards wide

Area = Length × Width

Area=6 yards.

The area of the garden is increased by 20 % .

20/100=0.2

the area would equal 6 (l x w) and 6 increased by 20% equals 7.2.

As the width remains same

so we use 7.2/3 to find the new length

7.2/3=2.4 yards.

Hence, 2.4 yards is the new length of the garden.

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Answer:

B

x is the price of the sweater so 3x  and add $15 for the skirt which would add up to $90

Answer:

3x + 15 = 90

Step-by-step explanation:

hope this helps!

Answer:

13

Step-by-step explanation:

Assuming the average human lifespan is 79 years then youll see a comet about 13 times in your life

Answer:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the table

x               y

2              0

7              20

Determining the slope between (2, 0) and (7, 20)

(x₁, y₁) = (2, 0)

(x₂, y₂) = (7, 20)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [20 - 0] / [7 - 2]

               = 20 / 5

               = 4

Thus, the slope of the line = m = 4

now substituting the point (2, 0) and the slope m = 4 in the slope-intercept form of a line equation to determine the y-intercept b.

[tex]y = mx+b[/tex]

0 = 4(2) + b

b + 8 = 0

subtract 8 from both sides

b + 8 - 8 = 0 - 8

b = -8

Thus, the y-intercept = -8

Summary:

Answer:

7.00

Step-by-step explanation:

First, you take 2.5x + 4.5 wich gives you 7.00 or 7.

Answer:

3

Step-by-step explanation:

48= 1, 2, 3, 4, 6, 8 ,12, 16, 24, 48.

15= 1, 3, 5, 15, 30, 45 and so on but only 3 can go into 48 and 15 and it is the greatest since there are no other common greater numbers between them.

Step-by-step explanation:

since they're Head opposite angles.

[tex](3x - 3) = (2x + 13) \\ 3x - 2x = 13 + 3 \\ x = 16[/tex]

Answer:

y=[tex]\frac{2}{3}[/tex] x+4

Step-by-step explanation:

     Since the temperature dropped 7 degrees, we will subtract 7 degrees from the original temperature given.

Write an equation to represent the situation:

37°F - 7°F = x

What was the temperature after the sun went down:

37°F - 7°F = x

30°F = x

        The temperature after the sun went down was 30°F.

Answer:

angle A and C are both Equal and sides BC and BA of the triangle are congruent

Step-by-step explanation:

Answer: 2.5%

Step-by-step explanation:

From the question, we are informed that John borrowed $20,000 from Beth and that he pays $500 per month in interest.

The percentage interest rate would be calculated thus:

= Amount paid as interest / Amount borrowed × 100

= 500/20000 × 100

= 2.5%

Answer:

Try c

Step-by-step explanation:

Answer: 57.1

Step-by-step explanation: To be complementary the angles have to add up to make a sum of 90.

90 - 32.9 = 57.1

The angles are 32.9 and 57.1.

Answer:

B

Step-by-step explanation:

subtracting from x means you move to the right the amount you subtracted. Since you're already one the the right, moving five more puts you at six.

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The area of the triangle in the rectangle is 6 x 16, since the triangle takes about half of the rectangle, its supposed to be 1/2 (16x6)

In order for Emily to use 156 stickers, she would've had to decorate 12 pages. 13 × 12 = 156. Therefore, your answer would be 12 pages.

Answer:

B, C, D and E are correct options

Step-by-step explanation:

Here, we want to get the correct options;

a. We simply divide the next term by the previous term so that we get the common ratio

That would be 16/-8 = -32/16 = -2

As we can see, the common ratio is -2 which means that the option cannot be correct

b. The 5th term is mathematically;

ar^4 = -8 * (-2)^4 = -8 * 16 = -128

This is correct

c. The 7th term is

ar^6 = -8 * (-2)^6 = -512

5th term is ar^4 = -8 * (-2)^4 = -128

So -512/-128 = 4

As we can see, this option is correct

d. 8th term is 1024

8th term is ar^7

= -8 * (-2)^7 = 1024 which is correct

e. 10th term is ar^9 = -8 * (-2)^9 = 4096

9th term is ar^8 = -8 * (-2)^8 = -2048

This is correct

Answer:

4+20p

Step-by-step explanation:

4x1 and 4x5p= 4+20p :)