A.48
B.54
C.102
D.105

Answer:

the answer is A≈1639.91

Answer:

A≈1639.91

Step-by-step explanation:

Shape: Cylinder

Solved for surface area

Radius: 9

Height: 20

Total surface area formula: =2πrh+2πr2

R is the radius

H is the height

So for this question H is 20 and R is 9in

Answer: A≈1639.91

Hope this helps.

Answer:

the first one the both must have a right angle for it to be hl theorem

Answer:

[tex]7\sqrt{2}[/tex]

Step-by-step explanation:

98=49x2

7x7=49

98=[tex]7\sqrt{2}[/tex]

The  lemonade does Rosanne'a brother drinks is  [tex]1\div 2[/tex] liter

The remaining should be

[tex]= (1\ 1\div 2) -(1\div 4) \\\\= 1\ 2\div 4 -1\div 4 \\\\= 1\ 1\div 4 \ liters[/tex]

Since The brother drinks 2/5 of that,

So,

[tex]= (2\div 5)(1\ 1\div 4 L) \\\\= (2\div 5)(5\div 4 L) \\\\= 2\div 4 L \\\\= 1\div 2 L[/tex]

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Answer:

  c.  54.6°

Step-by-step explanation:

The Law of Cosines can be used to find the first of the unknown angles in a triangle with only three side lengths given.

  b² = a² +c² -2ac·cos(B)

Solving for B, we have ...

  2ac·cos(B) = a² +c² -b²

  B = arccos((a² +c² -b²)/(2ac)) = arccos((10.4² +21.9² -18²)/(2(10.4)(21.9)))

  B = arccos(0.579053) ≈ 54.6° . . . . . matches choice C

Answer:

C 54.6°

Step-by-step explanation:

Using cosine law:

18² = 10.4² + 21.9² - 2(10.4)(21.9)cosB

cosB = 2029/3504

B =54.6160711

Answer:

b = -1

Step-by-step explanation:

First plug in 4 for each x:

[tex]x^2+bx-12=0\\(4)^2+b(4)-12=0[/tex]

Then simplify by multiplying out what you can with 4:

[tex](4)^2+b(4)-12=0\\16+4b-12=0[/tex]

After simplify further by combining like terms:

[tex]16+4b-12=0\\4b +4=0[/tex]

Then isolate b on one side by subtracting 4 from each side:

[tex]4b+4=0\\(-4)+4b+4=0+(-4)\\4b=-4[/tex]

Finally isolate b further by dividing each side by 4 to get b alone and find the answer:

[tex]4b=-4\\\frac{4b}{4}=\frac{-4}{4} \\ b=-1[/tex]

Answer: x ≈ 18 ft

Step-by-step explanation:

We will use our trig knowledge to solve this.

The man is standing 10 ft away, but we also need to add the 5 ft shadow as well as that is a point on our triangle.

We can set up a simple trig equation of: tan(50) = x/15

x being the height of the lamppost.

Now we solve.

tan(50) = 1.1918

1.1918 *15 = x

x = 17.876

Now round to the nearest foot.

x ≈ 18 ft

Answer:

72

Step-by-step explanation:

you start with 27

27 divided by three is 9

9 apples cut into 8 pieces each would be

72

Answer: Similar - AA

Just took the quiz, Its Similar AA not sure why just trust me homie

The two triangles are similar triangles by AA similarity theorem (Option A).

The AA similarity theorem proves that if two triangles have two pairs of angles that are congruent, then they are similar triangles.

The two triangles shown in the figure have two pairs of corresponding angles that are congruent to each other, therefore, they are similar triangles by AA similarity theorem (Option A).

Learn more about AA similarity theorem on:

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Answer:

27 pi

Step-by-step explanation:

First find the area of a circle

A = pi r^2

A = pi ^^2

36 pi

We know this is 3/4 of a circle so multiply the area by 3/4

3/4 * 36 pi

27 pi

Answer: The median of the date you gave would be -71. Hope that helps!

Answer:

gallons of water = 38784 gallons

Step-by-step explanation:

He builds a pool in his backyard .The pool measures 16 yards long, 6 yards wide and 2 yards deep. The pool is a rectangular prism. The number of gallons it can take to fill the pool can be calculated when we know the volume of the pool. Therefore,

volume of the pool = length × width × height

volume = lwh

l = 16 yards

w = 6 yards

h = 2 yards

volume = 16 × 6 × 2

volume = 192 yards³

1 cubic yards = 202 gallons

192 cubic yards = ?  gallons

cross multiply

gallons of water = 192 × 202

gallons of water = 38784 gallons

Answer:

Step-by-step explanation:

Distributive  property

a(b - c) = ab - ac

3(x-4) = 3*x - 3*4  

         = 3x - 12

Answer:

no

Step-by-step explanation:

2 does not go into 35 but one goes into anything

hope this helps :)

Answer:

This is the distributive property

Step-by-step explanation:

You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.

For this example, they distributed a to both b and c making it a*b + a*c

This will result in the same answer:

3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13

3/5(-1.23..) = -6/5 + 30/65 (..= approx)

approximately- 0.74  = -0.74

Answer:

20 square yards

Step-by-step explanation:

Area of workshop

= length * width

= 5 * 4

= 20 square yards

Answer:

2 students said only fall

Step-by-step explanation:

Given:

Total number of students = 25

Number of students who like fall season (F) = 12

Number of students who like summer season (S) = 18

Number of students who like both fall and summer season [tex]\left ( F\cap S \right )[/tex] = 10

To find:

Number of students who like only fall season

Solution:

A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.

According to the venn diagram,

n(only F) = [tex]=n(F)-n\left ( F\cap S \right )[/tex]

[tex]=12-10=2[/tex]

So, 2 students said only fall.

Answer:

A

Step-by-step explanation:

Answer:3

Step-by-step explanation:720 (the amount he uses) and divide it by 240 (which is the amount to make one cake) and it gives you 3

Complete Question:

The enrollment at East Valley High School over a six-year period is displayed in the scatterplot. Student Enrollment at East Valley High School (1st picture)

Which is the equation of the line of best-fit for this scatterplot? (2nd picture)

Answer:

D) y = (81/2)x - (160,069/2)

Step-by-step Explanation:

From the scatter plot in the graph attached below, we are given the ordered pairs of the coordinates (2009, 1330), (2013, 1492), we can derive the equation of the line of best-fit for the scatter plot using the slope-intercept formula.

Thus, the slope-intercept formula is y = mx + b, where m is the slope of the line; and b is the y-intercept.

We need to find m, and then b to input into the formula to get our equation of the line.

==> Finding m using the two sets of coordinate given on the graph [ (2009, 1330) and (2013, 1492) ]:

slope (m) = (y2 - y1)/(x2 - x1)

m = (1492 - 1330)/(2013 - 2009)

= 162/4

m = 81/2

Next is to find b, which is the y-intercept

Recall, y = mx + b

Using one of the coordinates given (2009, 1330), we can find b by inputting 1330 for y, 2009 for x, and 81/2 for m in the slope-intercept formula:

Thus, we would have ==>

1330 = (81/2 * 2009) + b

1330 = (162,729/2) + b

1330 - 162,729/2 = b

(2,660 - 162,729)/2 = b

- 160,069/2 = b

Having known the values of m, and b, let's input their values to get the equation of the line.

Thus, using the slope-intercept formula y = mx + b, the equation of the line of best-fit for the scatter plot would be

==> y = (81/2)x +(-160,069/2)

y = (81/2)x - (160,069/2)

Answer:

d

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

Equation of the wave function is a cosine function.

Let the graphed function is, f(x) = -Acos(bx - ∅)

Amplitude of the given function,

A = [tex]\frac{4-(-4)}{2}[/tex] = 4 units

Period = [tex]\frac{2\pi }{b}[/tex] = 2π

b = [tex]\frac{2\pi }{2\pi }[/tex] = 1

Given graph is starting from (0, 0).

Therefore, from the given graph, Phase shift of the cosine curve = ∅ = [tex]\frac{\pi }{2}[/tex]

Therefore, equation of the given cosine function will be,

f(x) = -4cos(x - [tex]\frac{\pi }{2}[/tex])

Option (4) will be the answer.

Answer:

The coordinates of the point is (5.5, -2)

Step-by-step explanation:

Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3

Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;

Let’s call the point dividing the line in the given ratio z.

The coordinates of Z is;

{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}

In this question (x1,y1) = (3,3)

While (x2,y2) = (7,-5)

while a:b = 5:3

Substituting these values into the coordinate equation for point z, we have ;

{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}

= {44/8 , -16/8} = {5.5, -2}

Answer:

q = 8

Step-by-step explanation:

[tex]\frac{q}{q + q + 4} = \frac{2}{5} \\\frac{q}{2q + 4} = \frac{2}{5} \\\\4q + 8 = 5q\\q = 8[/tex]

The value of q is 8.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

there are 23 boys and 35 girls on the school track and field team.

After q boys and (q+4) girls graduate q the end of the year,

the probability of selecting a boy at random to represent the school for an event becomes 2/5.

now, we get,

q/(q+q+4)=2/5

solving we get,

4q+8 = 5q

i.e. q=8

Hence, the value of q is 8.

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Answer:

I think the answer is city B

Step-by-step explanation:

Hope this helps

Answer: check explanation for the solution

Step-by-step explanation:

A business that offers services to people by providing many amusement and fun with gate fees

The algebraic equations to be used is the general linear equation

Y = MX + C

Where

Y = total income or money realised

M = rate or price rate

X = number of goods or services

C = flat rate or gate fees

The business can also operate differently by using exponential equation

A = P(1 + R%)^t

Where

A = profit

P = capital

R = rate

t = time

Answer:

A.

Step-by-step explanation:

The volume is LWH

L = 16

W = 9

H = 12

16 * 9 * 12 = 1728