Find the area of the shaded figure.
A= _ mm2

Answer:

Step-by-step explanation:

The sum of the angles measures at one side of the parallelogram is 180°.

Therefore we have the equation:

x + 113 = 180             subtract 113 from both sides

x + 113 - 113 = 180 - 113

x = 67

Answer:

67

Step-by-step explanation:

Answer:

the equation of the perpendicular bisector of segment AB is y = -2x + 7

Step-by-step explanation:

Going from B(-1, 4) to A(3, 6), x increases by 4 and y increases by 2.  Thus, the slope of this line is m = rise / run = 2/4, or 1/2.

Any line perpendicular to the one joining A and B has a slope which is the negative reciprocal of 1/2:  that'd be -2.

                                                               3 - 1       6 + 4

The midpoint of line segment AB is ( --------- , ---------- ), or (1, 5)

                                                                  2            2

Thus, the perpendicular bisector passes through the midpoint (1, 5) and has slope -2:

Starting from y = mx + b, we get  5 = -2(1) + b, or 7 = b, and so the equation of the perpendicular bisector of segment AB is

y = -2x + 7

Answer:

2,180 people

Step-by-step explanation:

Let

x-----> number of people at the book fair

we know that

1) 1/4 of the people bought 1 book each

(1/4)x=(5/20)x

2) 3/5 of the remaining  people bought 2 books each

The remaining people is (3/4)x

so

(3/5)(3/4)x=(9/20)x

3) the rest of the people bought 3  books each

The rest of the people is x-(5/20)x-(9/20)x=(6/20)x

The linear equation that represent this situation is

(1)*(5/20)x+(2)*(9/20)x+(3)*(6/20)x=4,469

(5/20)x+(18/20)x+(18/20)x=4,469

(41/20)x=4,469

x=4,469*20/41

x=2,180 people

Answer:

Option C is correct.

Step-by-step explanation:

Andy tested gemstones already = 30

Jacob tested gemstones already = 40

Total gemstones tested by Andy and Jacob already = 30+40 = 70

Andy continue to test gemstones per hour = 30

Jacob continue to test gemstones per hour = 25

Total gemstones tested by Andy and Jacob per hour = 30 +25 = 55

The total number of gemstones tested by Andy and Jacob after x hours will be: 55x

So, the equation will be: f(x) = 55x + 70

After 5 hours i.e. x =5

f(5) = 55(5) + 70

f(5) = 275 + 70

f(5) = 345

Andy and Jacob will have tested 345 gemstones in 5 hours.

So, Option C is correct.

Answer:

- i + 4

Step-by-step explanation:

Given a complex number a + bi then the complex conjugate is a - bi

Note the real part remains unchanged while the sign of the imaginary part is negated.

Hence conjugate of i + 4 = - i + 4

Janice should measure each wall's height and length to determine the square footage needed for painting and divide this by the coverage area of a gallon of paint to estimate the number of gallons she will need, ensuring to round up for any excess needed for touch-ups.

Janice's accuracy in estimating the amount of paint needed for her apartment is important to ensure that she neither runs out of paint before completing the job nor wastes money buying too much.

In general, paint cans are sold in one-gallon sizes, and a gallon typically covers around 350 to 400 square feet of wall space.

When calculating the paint needed, Janice should measure each wall's height and length to determine the square footage, considering any deductions for windows and doors.

Once she has the total square footage, she can divide by the coverage area of a gallon of paint to estimate the number of gallons needed. It's usually a good idea to buy a little extra for touch-ups, so round up to the nearest whole number.

As a review, understanding unit conversions is also pertinent.

For example, when converting miles to feet, ounces to pounds, or quarts to gallons, each conversion requires knowledge of the correct factors: 1 mile = 5,280 feet, 1 pound = 16 ounces, and 1 gallon = 4 quarts.

Such conversions are crucial in accurately determining quantities and can help avoid overestimating or underestimating the resources required for a task.

Final answer:

Janice needs to carefully calculate the amount of paint needed for her apartment by considering the square footage and paint coverage, possibly with a margin for extra paint. The painting job timing can be expressed with a linear equation T = 4 + 0.001S, where T is total time and S is square footage.

Explanation:

For Janice to estimate the amount of paint needed accurately, it's important that she does a careful calculation based on the square footage of her apartment walls and the coverage provided by each gallon of paint. The accuracy of this estimation will prevent the wastage of resources and ensure that the work does not halt due to the shortage of paint. However, it's also practical to consider buying an extra can to account for any unforeseen circumstances, as the estimation might have a margin of error.

Regarding the linear equation for the painting job: If it requires four hours of setup time plus one hour per 1,000 square feet, then we can express this as T = 4 + 0.001S, where T is the total time in hours and S is the square footage of the painting area. This linear equation will help to estimate the time needed for any given square footage.

Answer:

- 121

Step-by-step explanation:

The recursive formula allows us to find the next term in a sequence from the previous term, thus

f(1) = - 3f(0) + 2 = - 3 × 5 + 2 = - 15 + 2 = - 13

f(2) = - 3f(1) = - 3 × - 13 + 2 = 39 + 2 = 41

f(3) = - 3f(2) + 2 = - 3 × 41 + 2 = - 123 + 2 = - 121

Answer:

333 in^3

Step-by-step explanation:

Circumference = pi *d

27 = pi*d

Replacing d with 2*r  ( 2 times the radius)

27 = pi * 2 * r

Divide each side by 2

27/2 = pi *r

13.5 = pi *r

Divide by pi

13.5/ pi = r

We want to find the volume of a sphere

V = 4/3 pi * r^3

V = 4/3 pi (13.5/pi)^3

  = 4/3 pi * (13.5)^3 / (pi^3)

  4/3 pi/pi^3  * (13.5)^3

   4/3 * 1/ pi^2 *2460.375

 3280.5 / pi^2

Let pi be approximated by 3.14

 380.5/(3.14)^2

 332.7214086 in^3

To the nearest in^3

333 in^3

Answer:

332.384142939 cubic inch, rounded- 332 cubic inches

Step-by-step explanation:

Volume of a sphere is 4/3 pi*r^3

circumference=C = 2 π r

we can simply 27 by 2*pi to get radius-

approx 4.29718346348.

4/3 pi*4.29718346348.^3

4/3* pi*79.3508690311= about 332.384142939

I’m pretty sure the answer is (-4, 4) because when the equations are equal, that is when the points intersect. That happens to be at point (-4,4)

Answer: Option A

50 minutes

Step-by-step explanation:

Observe in the diagram that the vertical axis represents the score obtained and the horizontal axis represents the study time.

To find out how many hours the person with a score of 81 studied, locate the point that is at a vertical distance of 81.

Now draw a vertical line from this point to the horizontal axis. Note that the vertical line traced intercepts the vertical axis at x= 50

Then the person who got a score of 81 studied 50 minutes

The answer is the option A

Answer:

1725ft^2

Step-by-step explanation:

Hi!

First you have to find your two bases B1 and B2, which are 50 and 65.

Then you find the height, which is 30ft.

Finally, you plug those into the equation 1/2*h*(B1+B2) and solve.

1/2*30*(50+65)

1/2*30*(115)

15*115

1725ft^2 is your answer.

I hope this helps!

Answer:

The correct option is D.

Step-by-step explanation:

It is given that Issouf claims that the scale factor is 1/2.

From the given figure it is clear that

[tex]CB'=C'B'=2[/tex]

[tex]B'B=6[/tex]

[tex]CB=CB'+B'B=2+4=6[/tex]

The scale factor of a figure is

[tex]k=\frac{\text{Length of any side of image}}{\text{Length of corresponding side of preimage}}[/tex]

[tex]k=\frac{C'B'}{CB}[/tex]

[tex]k=\frac{2}{6}[/tex]

[tex]k=\frac{1}{3}[/tex]

The scale factor is 1/3 because CB is actually 2 + 4 = 6.

Therefore the correct option is D.

The number √{13} is an irrational number because it cannot be expressed as a ratio of two integers and is not a whole number or integer either.

The number √{13} is not a whole number, an integer, or a rational number because it cannot be expressed as a ratio of two integers. The square root of a positive number that is not a perfect square is always irrational. Therefore, the only correct choice for the type of number that represents √{13} is (Choice D) Irrational.

Answer:

brainliest ps :)

Step-by-step explanation:

her wage is $4.00 + s*0.5 so 7.25-4> s*.5== 3.25 > s*.5 == 6.5 > s

The inequality for the given information can be written as 6.5 > s.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

A lifeguard at a swimming pool gives one-hour swim lessons to children in the morning before the pool is open to the public. She earns four dollars per class and fifty cents per swimmer. The minimum wage in her state is $7.25.

The inequality can be written as:-

$4.00 + ( s x 0.5 )

7.25-4 > ( s x 0.5 )

3.25 > ( s x 0.5 )

6.5 > s

To know more about inequality follow

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Answer:

The area of the kite is 60 square feet

Step-by-step explanation:

The area of a kite is given as half multiplied by the product of the diagonals.

The longer diagonal measures 30 feet.

The shorter diagonal measures 4 feet.

The area of the kite is; [tex]\frac{1}{2}*30*4=60[/tex]

ANSWER

The area of the kite is 60 square feet

EXPLANATION

The area of a kite is half times the product of the diagonals.

The longer diagonal is 10+20=30 feet.

The shorter diagonal is 2+2 =4 feet.

The area of this kite

[tex] = \frac{1}{2} \times 30 \times 4[/tex]

This simplifies to,

[tex] = 60 {ft}^{2} [/tex]

Therefore the area of the kite is 60 square feet

The maximum happens at x = -b/2a

x = -48/2(-16) = 3/2

Now replace x in the equation and solve for y:

y = 48(3/2) - 16(3/2)^2

y =  -72 - 36

y = 36

The maximum height is 36 feet.

Answer:

The area of one of the bases is 0.96 ft²

The area of each lateral rectangular face is 4.8 ft²

The surface area of the paperweight is 6.72 ft²

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to

SA=2B+LA

where

B is the area of one of the bases

LA is the lateral area of the prism

Find the area of one of the bases B

B=(0.8)(1.2)=0.96 ft²

Find the lateral area LA

The lateral area is the area of each lateral rectangular face

LA=2[(0.8)(1.2)]+2[(1.2)(1.2)]=4.8 ft²

Find the surface area

SA=2(0.96)+4.8=6.72 ft²

Answer: 1.44, 0.96, and then 6.72.

Step-by-step explanation:

the person who answered first is wrong.

Answer:

the 1st one

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

6(2b-4)

Let b = 5

6(2 (5)-4)

Work inside the parentheses out

6(10-4)

6(6)

36

Answer:

36

Step-by-step explanation:

Well, we can do this 2 ways: Distribute first, or do it last.

Distribute First:

12b-24=

12(5)-24=

60-24=

36

Distribute last:

6(2(5)-4)=

6(10-4)=

Now you can take this two ways.

Distribute:

60-24=36

OR

Parenthessess: (I dont know how to spell.)

6(6)=36

Answer:

The answer is A; 19

Step-by-step explanation:

4 × (3/4 - 2/4) + 3 × 6

= 4 × 1/4 + 3 × 6

= 1 + 3 × 6

= 1 + 18

= 19

Check the picture below.

so the figure is really just 3 triangles and one square, we can simply get the area of each shape and sum them up, and that's the area of the composite

[tex]\bf \stackrel{\textit{green triangle}}{\cfrac{1}{2}(9)(3.5)}+\stackrel{\textit{brown triangle}}{\cfrac{1}{2}(2)(2)}+\stackrel{\textit{purple square}}{(2\cdot 2)}+\stackrel{\textit{pink triangle}}{\cfrac{1}{2}(5)(2)} \\\\\\ 15.75+2+4+5\implies 26.75[/tex]

Answer:

Step-by-step explanation:

Look at the picture.

We have

the right traingle with the legs a = 3.5 and b = 2 + 2 + 5 = 9

the trapezoid with the bases b₁ = 2 + 2 + 5 = 9, b₂ = 5 and the height h = 2.

The formula of an area of a right triangle:

[tex]A=\dfrac{ab}{2}[/tex]

Substitute:

[tex]A=\dfrac{(3.5)(9)}{2}=15.75[/tex]

The formula of an area of a trapezoid:

[tex]A=\dfrac{(b_1+b_2)h}{2}[/tex]

Substitute:

[tex]A=\dfrac{(9+2)(2)}{2}=11[/tex]

The area of the shape:

[tex]\bold{A=15.75+11=26.75}[/tex]

Answer:

80%

Step-by-step explanation:

According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.

Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.

The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511

For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.

62072:  4 students sent the text, 1 did not

34570:  4 students sent the text, 1 did not

80983:  2 students sent the text, 3 did not

04292:  4 students sent the text, 1 did not

83150:   4 students sent the text, 1 did not

36330:  All 5 students sent the text

96268:  3 students sent the text, 2 did not

14077:   3 students sent the text, 2 did not

77985:  1 student sent the text, 4 did not

13511:    All 5 students sent the text

We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.

From the given groups, the number of groups where 3 or more students sent a text = 8

This represents our number of favorable or desired outcomes.

Total number of possible outcomes is the total number of groups = 10

Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data  the probability that 3 or more of a group of 5 students randomly selected will send a text today will be = [tex]\frac{8}{10}=0.80=80\%[/tex]

Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today

Answer:

The answer is 80% or 4/5(;

Step-by-step explanation:

Answer:

the answer is 61units

n=61

Step-by-step explanation:

Answer:

Standard Deviation is:  2.09762 or rounded to nearest tenth is 2.1

Step-by-step explanation:

Answer:

1)163.28 (3.14*52)

2)13ft 6in (163.28/12)

3)129 times

4) 31 times

Step-by-step explanation:

1) multiply 52 times pie(3.14)

2)divide 163.28(your total) by 12

3) 1760 divided by 52

4) 1760 divided by 56.52

this is for the other 2 ones

Answer:

-100

Step-by-step explanation:

Answer:

-100

Step-by-step explanation:

You need to multiply

-20 x 5= -100

Hope this helped please mark me the brainliest answer? Have a good day :)

Answer:

A. [tex]g(x)=(x-4)^2[/tex]

Step-by-step explanation:

The graph of [tex]f(x)=x^2[/tex] is transformed to obtain the graph of g(x).

We can see from the diagram that, f(x) is shifted 4 units to the right to obtain the graph of g(x).

Therefore [tex]g(x)=f(x-4)[/tex].

Hence the equation of g(x) is

[tex]g(x)=(x-4)^2[/tex]

The correct answer is A.

The equation of the graph of g(x) is g(x) = (x - 4)²

From the graph shown, we can see that the f(x) = x² as shown is shifted   4 units to the right to obtain the graph of g(x).

Then, we have that this shift can be achieved by replacing x in the equation of f(x) with x - 4 to represent the horizontal shift.

We have the equation of the graph of g(x), to be;

g(x) = (x - 4)²

This equation represents a horizontal shift of the graph of f(x) by by 4 units to the right, as g(x) remains the same shape f(x) but is  shifted horizontally to the right by 4 units.

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Answer:

C. 66

Step-by-step explanation:

32 + x =98

The sum of interior angles of a triangle add up to the exterior opposite angle;

solving for x yields;

x = 98 - 32

x = 66 degrees

Answer:

x = 66°

Step-by-step explanation:

Since DAC is a straight line, the angles must add up to 180° and 98° is given so the missing angles is 180° - 98° = 82°

Angles in a triangle add up 180° and 32° and 82° are given →

x + 32° + 82° = 180°

x + 114° = 180°

x = 66°

1 foot = 12 inches.

The president is 6 x 12 = 72 inches tall.

54 inch model / 72 inches = 0.75 = 3/4

The model is 3/4 scale.

Answer:

6038 x 1

or

603.8 x 10