Mathematics College

What is the area of this composite figure?

Answers

Answer 1

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

Related Questions

A family buys a studio apartment for $240,000. They pay a down payment of $48,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would an $84,000 down payment be?
a. The down payment is
(Type a whole number.)
% of the purchase price.

Answers

Answer:

A. 20% B. 35%

Step-by-step explanation:

a. (48,000 divided by 240,000) x 100 = 20

B. (84,000 divided by 240,000) x 100 = 35

A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?

Answers

Answer:

the dimensions of the rectangle are 34cm and 15cm

Step-by-step explanation:

proof:

p= (2 × 34) + (2 × 15)

=68 + 30

= 98

hope this helps!!

Answer: 34x15

Step-by-step explanation:

A rectangle

Knowing the properties of a rectangle, the opposite sides are equal and parallel.

Determine formula

Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]

Solve for X

Side 1:

[tex]((2(3x-1))*2)[/tex]

[tex]((6x-2)*2)[/tex]

[tex](12x-4)[/tex] simplified

Side 2:

[tex]((2x+3)*2)[/tex]

[tex](4x+6)[/tex] simplified

Solve:

[tex](12x-4) + (4x+6) = 98[/tex]

[tex]16x+2=98[/tex]

[tex]16x=96[/tex]

[tex]\frac{16x}{16} = \frac{96}{16}[/tex]

[tex]x = 6[/tex]

Substitute x

[tex]2(3(6)-1) = 34[/tex]

[tex](2(6)+3) = 15[/tex]

The dimensions of this rectangle are 34x15.

Yellow Bird launches from point (10,0). His flight path reaches a maximum height of 22 yards and lands at point (42, 0).

Answers

The Equation for the launch of the yellow bird is y = -0.1( x - 26 )² + 20

what will be the equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values

Given:

Starting position of the bird = ( 10 , 0 )

Final position of the bird = ( 42 , 0 )

Maximum Height of the bird = 20 yards

To find: Equation that represent this condition.

Clearly, Birds flight path is not a straight line. It has a curved path.

So, the path bird follow is a PARABOLA.

Standard Equation of the parabola in vertex form, y = a( x - h )² + k

where ( h , k ) is the vertex of the parabola.

In our Question , vertex is the point at the highest position.

Vertex will be 20 yard above the mid point of the starting and final position.

Using Mid-Point Formula,

Mid-Point of ( 10 , 0 ) & ( 42 , 0 ) =

Now, the vertex = ( 26 , 0 + 20 ) = ( 26 , 20 )

⇒ Equation, y = a( x - 26 )² + 20

Now, we find value of by substituting value of (10 , 0) in the equation,

⇒ 0 = a( 10 - 26 )² + 20

a( -16 )² = -20

a(256) = -20

a = -20/256

a = −0.078125

a ≈ -0.1

Therefore, The Equation is y = -0.1( x - 26 )² + 20

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A lion can run at a speed of 1.43 kilometers per minute. How fast can the lion run in miles per hour

Answers

The loin's speed in miles per hour will be 53.31 miles per hour.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

It is given that:-

lion can run at a speed of 1.43 kilometres per minute.How fast can the lion run in miles per hour

Now to find the speed of a lion in miles per hour we have the following relationship.

[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]

Therefore the loin's speed in miles per hour will be 53.31 miles per hour.

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Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?

A. θ=-pi/2
B. θ=0
C. θ=pi/2
D. θ=3pi/2

Answers

The value of theta where we do not have a vertical asymptote is θ = 0.

Where we do not have a vertical asymptote?

The vertical asymptotes happen when the denominator becomes equal to zero.

For our case, we have:

tan(θ) = sin(θ)/cos(θ).

So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.

Then the correct option is B.

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what set of data corresponds to the dot plot

Answers

The bottom answer matches. please give brainlest

Work out the size of angle x

Answers

take 180-123=57 u take 42+57=99

James sees a truck at the dealership for $50,000
base price, $1,400 premium interior, $1,700
navigation touch-screen, and $2,200 smart
traffic sensors. If his current vehicle is worth
$5,000 and he's offered a 80% trade-in rate,
what is the total cost of the car after the $1,200
destination fee?
A. $41,900
B. $52,500
C. $51,500
D. $56,500

Answers

The total cost of the car after the $1,200 destination fee is B. $52,500.

How to calculate the total cost?

To calculate the total cost of the car after the trade-in rate and the destination fee, we shall subtract the trade-in value from the total price of the new car, and then add the destination fee.

Given:

Base price of the car = $50,000

Premium interior = $1,400

Navigation touch-screen = $1,700

Smart traffic sensors = $2,200

Total price before the trade-in

= $50,000 + $1,400 + $1,700 + $2,200 = $55,300.

The trade-in rate = 80% of the trade-in value, which is $5,000.

So, the trade-in value = 80% * $5,000 = $4,000.

Subtract the trade-in value from the total price:

$55,300 - $4,000 = $51,300.

Finally, add the destination fee of $1,200 to the destination fee:

Total cost of the car = $51,300 + $1,200

= $52,500.

Therefore, the total cost of the car after the $1,200 destination fee is $52,500.

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if you need 4/5 of a cup for one pie how many do cups do you need for 9

Answers

hey!

Given ,

For one pie , 4/5

For 9 pie = 4/5 x 9 = 36/5

Hope this helps :)

Answer:

if you simplefy it, it would be 7 1/5

Step-by-step explanation:

see how many time 5 goes into 36= 7 times what is your remander = 1 and the denomorator is 5 so 7 and 1/5

The point (2,5) is represented on the graph. Which point also belongs on this graph?

Answers

If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The point (2,5) is represented on the graph.

Then the equation of the line passing through (2, 5) and the origin will be given as

y - 0 = [(5 - 0) / (2 - 0)] (x - 0)

y = 5/2 x

2y = 5x

If the point (30, 75) satisfies the equation, then the point will lie on the line.

2 × 75 = 5 × 30

150 = 150

The graph is given below.

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Two towers make up the Vertical Forest. One is 76 meters tall, and the other is 111 meters tall. How many feet taller is the higher tower? (Hint: 1 meter = 3.28 feet)

Answers

Answer: 114.8

Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser

Rewrite using the Distributive Property and GCF 13+36

Answers

Answer:

13(1+2)

Step-by-step explanation:

13(1)+13(2)=13+26

The GCF of 13, 26 is 13.

Liam's mass is 102.1 kg

Choose the best approximation of Liam's mass.

Choose 1 answer:

A.) 1*10^1 kg

B.) 1*10^2 kg

Earth has an estimated mass of 5,972,000,000,000,000,000,000,000

Choose the best approximation of the Earth's mass.

Choose 1 answer:

A.) 6*10^21

B.) 6*10^24

Approximately how many times as large is the Earth's mass as Liam's mass?

Choose 1 answer:

A.) 6*10^20

B.) 6*10^21

C.) 6*10^22

Answers

First one is B second one is B last one is C

The answer is the number (A)

Help!!!!PLEASE & THANKS

Answers

x° = 25°

25° is the answer

Line j is parallel to line k. Find the m

Answers

Answer:

- 8.14 = m = slope

Step-by-step explanation:

We know from the diagram that 8x-7 + 5x+18 = 180 so x = 13

so 8x -7 = 97

slope = tan 97 = -8.14

Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other. If they meet in 4 hours, what is the rate of each bus?

Answers

If they meet in 4 hours. Then the speed of each bus will be 124 km per hour and 113 km per hour.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other.

If they meet in 4 hours.

Then the speed of each bus will be

Let x be the speed of the one bus.

Then the speed of second bus will be

Speed = x - 11

Then the relative speed will be

Speed = 2x - 11

Then we have

2x - 11 = 948 / 4

2x - 11 = 237

2x = 248

x = 124

Then the speed of each bus will be 124 km per hour and 113 km per hour.

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How many helmets must the company make and sell to break even? helmets

Answers

Answer: 600

Step-by-step explanation: i took test and got it right

Answer: 600

Step-by-step explanation:

The amount of time a certain brand of light bulb lasts is normally distribued with a
mean of 1100 hours and a standard deviation of 75 hours. Out of 965 freshly installed
light bulbs in a new large building, how many would be expected to last less than
1100 hours, to the nearest whole number?

Answers

Answer:

Therefore, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.

Step-by-step explanation:

In statistics, the 68–95–99.7 rule, also recognized as the Empirical rule, is a shortcut used to recall that 68%, 95% and 99.7% of the values lie within one, two and three standard deviations of the mean, respectively.

Then,

P (µ - σ < X < µ + σ) = 0.68

P (µ - 2σ < X < µ + 2σ) = 0.95

P (µ - 3σ < X < µ + 3σ) = 0.997

he random variable X can be defined as the amount of time a certain brand of light bulb lasts.

The random variable X is normally distributed with parameters µ = 1300 hours and σ = 90 hours.

Compute the interval of hours that represents the lifespan of the middle 68% of light bulbs as follows:

Thus, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.

Which is a perfect square? 20,21, 24,25

Answers

25 is a perfect square. 5 * 5 is 25

The perfect square form the given numbers is 25.

What is meant by Perfect Squares?

Perfect squares are defined as the number which is the result of the multiplication of another number, likely integers, to itself two times.

For example, 4 = 2 × 2

So 4 is a perfect square of 2.

Here the given numbers are,

20, 21, 24, 25.

We need the perfect squares as the squares of integers.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

So 25 is a perfect square.

20, 21 and 24 cannot be written as the square of an integer.

Hence the correct number is 25.

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Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?

Answers

Answer:Mackenzie

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mackenzie

Use the equation below to find A, if 1 = 6 and w = 3.
A = lw

Answers

Answer:

l=6, w=3

And A is the multiplication of l and w

A=6×3

Sam Bought a shirt for $27 after a discount, He said he bought the shirt at a 10% discount, What was the original selling price of the shirt?

Answers

Answer:$37.00

Step-by-step explanation: hope it helps

2.* Use the slope (m) and y-intercept (b)
to describe the system.
(1) x + y = -1
(2) -x - y=-1
F. Intersecting lines
G. Same lines, m > 0
H. Same lines, m < 0
J. Parallel lines, m > 0
K. Parallel lines, m < 0

Answers

Answer:

the answer is for this particular problem is F

Two angles are complementary. One angle is labeled (2p + 9). The other angle is
labeled 4pº. Find the value of p.
A p = 2.5
B p = 4.5
Cp = 13.5
D p = 28.5

Answers

Answer:

p=13.5

Step-by-step explanation:

know: complementary angles add to 90

(2p+9) +4p =90

6p +9 =90

6p= 81

p= 81/6 = 13.5

What is the radius of oT?
Answer Here
+
21
20
R

Answers

The length of the half chord is given as 21. The length of the perpendicular drawn from the center to the chord is 20. The radius would be 29 units.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

The length of the half chord is given as 21.

The length of the perpendicular drawn from the center to the chord is 20.

By Pythagoras' Theorem

[tex]|r|^2 = |21|^2 + |20|^2\\\\|r|^2 = 441 + 400\\\\|r|^2 = 841\\\\|r| = \sqrt{841} \\\\r = 29[/tex]

The radius of the circle would be 29 units.

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2. (07.01)
In a city school, 70% of students have math class, 65% have science class, and 45% have math
and science class this semester. What is the probability (rounded to the nearest whole percent)
that a randomly selected student will have science class this semester, given that the student is in
math class? (1 point)
Hint: P(AB)
P(ANB)
P(B)
O 93%
20%
69%

Answers

Answer:

[tex]P(\text{Science}|\text{Math})\approx64\%[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Science}|\text{Math})=\frac{P(\text{Science and Math})}{P(\text{Math})}\\\\P(\text{Science}|\text{Math})=\frac{0.45}{0.70}\\ \\P(\text{Science}|\text{Math})\approx0.643\approx64\%[/tex]

None of the answer choices have this solution apparently, so either you left out some option, mistyped them, or it wasn't there to begin with

Pls, look at the picture for the question.

Answers

B. 9*10^16 (because in question give it)

B. 3*10^9 (because answer to first question is divided by seconds in one year (365*24*60*60).

Answer:

1. 9 * 10^15 meters per years

2. 3*10^8 meters per second

Step-by-step explanation:

Light travels is given 9,... m per year.

They ask how many meter light trravels per years.

They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.

Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.

Converting meters per year to meter per seconds

[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]

The answer should be 2.8*10^8 or 3*10^8 meters per second

Comedy Drama Action Horror
Day 1 5 7 3 1
Day 2 2 11 4 5

5. Based on the above chart, which conclusion can be drawn from the data?

a. Horror is the most popular genre.
b. Drama is the most popular genre.
c. People like comedies because they like to laugh.
d. People don’t like horror movies because they don’t like to be scared.

Answers

Answer:

B. Drama is the most popular genre

Step-by-step explanation:

Day 1:

⇒ Comedy: 5

Drama: 7

Action: 3

Horror: 1

Day 2:

⇒ Comedy: 2

Drama: 11

Action: 4

Horror: 5

With this information we can start ruling out our answer choices.

A. horror is the most popular genre

Lets see, both of the sum of both days for Horror is 6, for Action is 7, Drama is 18, and Comedy is 7, with this we can conclude that horror is actually the least popular genre

B. Drama is the most popular genre

Using the information we gathered previously, we know Drama is the most popular genre, therefore this option is a high possibility.

C. People like comedies because they like to laugh

Although, I personally love comedies for this reason, this chart does not prove that people like comedies for this reason.

D. People don't like horror movies because they don't like to be scared

As for option C, the chart does not prove that is the case!

Therefore we can conclude that option B is the best choice.

rewrite! Write an new and equivalent equation that is easier to solve

Answers

[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]

[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]

we will multiply 7 with bracket

[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]

Now we will take (-21) on LHS to RHS

[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]

Now we will do squaring both sides

[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]