Find the area of the figure. 16cm 9cm
area: cm2

the total arc length to the nearest foot if it is rotated 125° will be 218 feet.

Diameter of the Ferris wheel = 200 feet

radius of the Ferris wheel will be = 200 / 2 = 100 feet

Now, it has travelled 125° counterclockwise.

So, the arc length travelled will be:

Arc length = 2 π r ( 125° / 360°)

Arc length = 2 (22 / 7) (100) (125 / 360)

Arc length = 218.25 feet

rounding off to the nearest whole number, we get that:

Arc length = 218 feet.

Therefore, we get that, the total arc length to the nearest foot if it is rotated 125° will be 218 feet.

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Answer:

A) 40

B) $ 15

Step-by-step explanation:

A)An equation for the number of​ 30-day periods until the value of the gift cards will be equal

Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is

155 - 3.50 x---------------------(1)

For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is

135 - 3x---------------------- (2)

Now when both the amount lost is equal

solving the equation, we get

20 =  0.5x

x = 40Thus the value of gift cards will be equal for 40 ,30 day periods. B)The value of each card be when they have equal​ value The two cards  will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.Then substituting  x = 40, we get when they have equal​ value, the value of each card will be $15

After combining the given expression [2/5m - 4/5 - 3/5m], the resultant expression is [-1/5m - 4/5].

So, 2/5m - 4/5 - 3/5m:

Now, evaluate the expression as follows:

Therefore, after combining the given expression [2/5m - 4/5 - 3/5m], the resultant expression is [-1/5m - 4/5].

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Answer:

(-2, 4)

Step-by-step explanation:

Midpoints

x = (x1 + x2)/2

y = (y1 + y2)/2

so

-3 = (-4 + x2)/2

x2 - 4 = -6

x2 = -2

5 = (6 + y2)/2

y2 + 6 = 10

y2 = 4

Solution

Now, the circle equation

Rewrite in standard form

Therefore the circle properties

The final answer

15) Magnitude of projection is 6.325

17) Projection is <-3.6, 10.8>

19) The acute angle between and vector is 34.509°.

The magnitude of the projection of A vector onto B vector could be deduced as,

Proj V(a) ÷ V(b) = (V(a) · V(b)) ÷ |V(b)|

15)  Given, coordinates <8,-4> and <1,-3>

|V(b)| = √((1)² + (-3)²)

|V(b)| = √(1+9)

|V(b)| = √10

Proj V(a) ÷ V(b) = (V(a) · V(b)) ÷ |V(b)|

Proj V(a) ÷ V(b) = (8, -4) · (1, -3) ÷ √10

Proj V(a) ÷ V(b) = (8 + 12) ÷ √10

Proj V(a) ÷ V(b) = 20 ÷ √10

Proj V(a) ÷ V(b) = 2√10 = 6.325

17) Given, coordinates <-6,10> and <1,-3>

Projection = Proj V(a) ÷ V(b) = ((V(a) · V(b)) ÷ |V(b)|) × <1, -3>

|V(b)| = √((1)² + (-3)²)

|V(b)| = √(1+9)

|V(b)| = √10

Proj V(a) ÷ V(b) = (V(a) · V(b)) ÷ |V(b)| × <1, -3>

Proj V(a) ÷ V(b) = ((-6, 10) + (1, (-3)) ÷ √10) × <1, -3>

Proj V(a) ÷ V(b) = ((-6 × 1) + (10 × (-3)²) ÷ √10) × <1, -3>

Proj V(a) ÷ V(b) = ((-6 + 90) ÷ √10) × <1, -3>

Proj V(a) ÷ V(b) = ((84) ÷ √5) × <1, -3>

Proj V(a) ÷ V(b) = <-3.6, 10.8>

19) The vector are <2,3> and <-5,-2>. The acute angle between and vector is 34.509°.

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Answer:

a

Step-by-step explanation:

as all the other points had inflection

For the given expression (8^7)^2 = 2^y , the number equals to y is 42.

As given in the question,

Given expression :

(8⁷)² = [tex]2^{y}[/tex]

Simplify the given expression by using law of exponents :

Here the law of product of exponents or product law of exponents (power or index) has been applied under which [tex](8^{7})^{2} = 8^{7times2} = 8^{14}[/tex]

(  8¹⁴ ) =  [tex]2^{y}[/tex]

⇒ (2³)¹⁴ = [tex]2^{y}[/tex]

⇒ 2⁴² =  [tex]2^{y}[/tex]

Comparing the exponents i. e. power (or index), since the base is common, Also when two exponential numbers with common base are equal, their exponents (power or index) can be equated.

Number equals to represent the value of y is 42

Therefore, for the given expression (8^7)^2 = 2^y , the number equals to y is 42.

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Answer:

[tex]1. a=-10[/tex]

[tex]2. b=-0.2[/tex]

[tex]3. c=0.25[/tex]

Step-by-step explanation:

1. 1/5a = -2

a=-10

2. 8+b=7.8

b=-0.2

3.-0.5=-2c

c=0.25

:]

(Brainliest would help a lot) Tell me if this is incorrect!

Answer:

Step-by-step explanation:

x=3?

Answer:

3

Step-by-step explanation:

If you multiply 1 by 3 it gives you 3, the side of triangle B. Using that scale factor. you can then take the side of triangle B that is 9 and divide it by 3. That gives you the missing side of triangle A.

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Equation for the function graphed is f(x) = -0.6 (x - 1)² ÷ (x + 1)(x + 3)

Given, the y-intercept is at (0, 0.2).

From the given graph, it can be deduced the vertical asymptotes are at x = -1, x = 1 and x = -3.

Which implies denominator is 0 and the function is undefined for x = -1, x = 1 or x = -3.

So, -1 and -3. are the roots of the denominator. As a result, the denominator equation has the form: (x + 1)(x + 3).

For finding the equation of the function f(x) = a(x - 1)² ÷ (x + 1)(x + 3)

Put f(0) = 0.2

f(0) = a(0 - 1)² ÷ (0 + 1)(0 + 3) = 0.2

a = - 0.6

∴ Equation is f(x) = -0.6(x - 1)² ÷ (x + 1)(x + 3) for y-intercept is at (0,0.2).

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The equation y = 2x + 3 is in its slope-intercept form in which slope = 2 and y-intercept is 3.

If the slope is 2, then this means that the rise = 2 and the run = 1.

Knowing the slope and the y-intercept, let's now graph the line.

Let's remove the indication of the slope, here is the graph of the line y = 2x + 3.

Answer:

C

Step-by-step explanation:

multiply 24.23 by 4

The measure of angle A in triangle ABC is 90 degrees.

An isosceles triangle is a triangle that has at least two sides of equal length.

Since side AC the same as side AB, this forms an isosceles triangle and angle C is the same as angle B.

Hence;

Note that, the sum of the interior angle of a triangle is 180°

Hence

Angle A + Angle B + Angle C = 180°

4x + 2x + 2x = 180

Solve for x

8x = 180

Divide both sides by 8

8x/8 = 180/8

x = 180/8

x = 22.5

Now, we find measure of angle A.

Angle A = 4x

Plug in x = 22.5

Angle A = 4( 22.5 )

Measure of angle A = 90°

Therefore, the measure of angle A in the isosceles triangle is 90°.

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The width of rectangle is 83 meter.

What is the area of rectangle?

By dividing the rectangle's length by its breadth, we may determine the area of a rectangle.

Formulas for rectangles.

Formula for the perimeter of a rectangle. Rectangle Area Formula: P = 2 (l + b). A = l × b, where l is length of rectangle and b is width of rectangle.

Given area of rectangle is 8217m^2

length l = 99 m

Let width of rectangle be b meter

Therefore,

99 x b = 8217

=> b = 8217/99

=> b = 83

Therefore, the width of rectangle is 83 m.

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The submarine is at a position of -775 feet or 775 feet below sea level.

Here, we assume that the submarine was originally at the sea level, which means it was at position 0.

It then descended 500 feet below sea level. Which means it is now at a position of 500 feet below sea level. This, can be written as-

0 - 500

= -500 feet

Further, it is given that the submarine descended another 275 feet. This means that from -500 feet it further descended 275 feet. This can be written as-

-500 - 275

= -775 feet

Thus, the submarine is at a position of -775 feet or 775 feet below sea level.

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Your question was incomplete. Check for full content below-

A submarine descended 500 feet below sea level. It then descended another 275 feet. Write and then evaluate a subtraction expression to determine the new position of the submarine.

Answer:

GH = 2

Step-by-step explanation:

since F is the midpoint of EG , then EF = FG = 4

EF + FG + GH = EH , that is

4 + 4 + GH = 10

8 + GH = 10 ( subtract 8 from both sides )

GH = 2

Answer:

D

Step-by-step explanation:

A and B don't prove anything because we have the slopes of sides LM and ON to worry about. C could mean that yes, the figure is a quadrilateral, but with those parameters it could be a square, a rectangle, or trapezoid. Therefore D is the correct answer

Diagonal Mo bisects diagonal LN.

Midpoint of line MO =  Midpoint of line LN

Option C is the correct answer.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

In a rhombus,

- All sides are equal

- Opposite sides are parallel

- Diagonals bisect each other

- opposite angles are equal

Now,

Midpoint of line MO =  Midpoint of line LN

Since diagonals bisect each other

Thus,

Diagonal Mo bisects diagonal LN.

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Translation: add or subtract to the coordinates x ,y

A = (3,2)

A'= (6,-2)

(3+3, 2-4 ) = (6,2)

Solution:

(x,y) (x+3,y-4)→

Jane wants to rent a boat and spend less than $75.

The boat costs $8 per hour, and Jane has a discount coupon for $5 off

Let t for the number of hours

Then we can write the following inequality

The discount coupon is being subtracted since it was off.

Let us solve the inequality for t

Step 1: Add 5 to both sides of the inequality

Step 2:

Divide both sides of the inequality by 8

This means that Jane could rent the boat for less than 10 hours

Step-by-step explanation:

-4+8=4

-23+-1=-24

this is correct answer

Ths values of a and b in the equivalent ratio illustrated on the table will be 6 and 12

It should be noted that from the information given, the relationship that exist between the numbers is illustrated as:

y = 0.8x

Therefore, when y is 4.8, the value of x will be:

y = 0.8x

x = 4.8 / 0.8

x = 6

When x = 15, the value of y will be:

y = 0.8x

y = 0.8 × 15

y = 12

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Answer: Well, 10 x 3, 10 x 3

Step-by-step explanation: I think thats what you are asking?

The volume and the surface area of the right cylinder are equal to 468π cubic inches and 228π square inches. (Correct choice: B)

In this problem we find a right cylinder, whose height (h), in inches, and radius (r), in inches, are described in the figure and are needed to calculate the volume (V), in cubic inches, and the surface area (A), in square inches, of the solid. The formulas are described below:

Volume

V = π · r² · h

Surface area

A = 2π · r² + 2π · r · h

If we know that r = 6 in and h = 13 in, then the volume and the surface area of the cylinder are, respectively:

Volume

V = π · (6 in)² · (13 in)

V = 468π in³

Surface area

A = 2π · (6 in)² + 2π · (6 in) · (13 in)

A = 228π in²

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Given:

The matrics

Required:

Match lettered entries in the matrices A, B and AC to their values.

Explanation:

First multiply matrices A with B

Now we can find values of a, b, c, d, e and f from equating two matrices as:

Answer:

The values are a = 2, b = 12, c = -1, d = -3, e = 5 and f = 19.

The new speed of Ms.Torres is 119/4 miles/ hour for the driving.

For the given question;

The distance covered by Ms.Torres; 178 1/2 miles

Convert mixed fraction to fraction; 357/2 miles.

The time taken by Ms.Torres; 4 1/2 hours

Convert mixed fraction to fraction; 9/2 hours.

Speed = distance/ time

Speed = 357/2 miles/9/2 hours

Original Speed = 119/3 miles/ hour.

Now, the speed covered by her is 3/4 of the original speed.

Thus,

= (3/4)×(119/3)

= 119/4

Therefore, the new speed of Ms.Torres is 119/4 miles/ hour.

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a. Given the expression of the form Ax + By + C = 0, the slope is

In this case: A = -2 and B = 3.

Answer: 2/3

b. A = -4 and B = 1, so

Answer: 4

c. A = 5 and B = -7, so

Answer: 5/7

d. A = 5 and B = -8, so

Answer: 5/8

Answer:

Smallest to largest would be:

0.008, 0.086, 0.867, 0.870

Step-by-step explanation:

math.

Answer:

The first one

Step-by-step explanation:

The first quotient (7) is different from the other three (0.7)

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