A, B and C form a triangle where ∠BAC = 90°
AB = 4.4mm and BC = 14.8mm
Find the length of AC, giving your answer rounded to 1 decimal place.

If the height of the frustum of the cone is 10 cm. Then the volume of this cup will be 47 milliliters.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A small plastic vessel has the shape of a truncated cone as shown. A cubic centimeter is the same as a milliliter.

Then the volume of this cup to the nearest milliliter will be

The volume is given as

[tex]\rm V = \dfrac{1}{3} \pi (r_2^2 - r_1^2) h[/tex]

We have

Height (h) = 10 cm = 0.1 m

Radius (r₁) = 3.2 cm = 0.032 m

Radius (r₂) = 2.4 cm = 0.024 m

Then the volume will be

[tex]\rm V = \dfrac{1}{3} \pi (0.032^2 - 0.024^2) \times 0.1\\\\\rm V = 4.7 \times 10^{-5} \ \ m^3[/tex]

Then the conversion of m³ to milliliters will be

4.7 × 10⁻⁵ m³ = 4.7 × 10⁻⁵ × 10⁶ millileters

4.7 × 10⁻⁵ m³ = 47 milliliters

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Answer:

The radius is 3 meters.

Step-by-step explanation:

[tex]\pi {r}^{2} (5) = 141.3[/tex]

[tex] {r}^{2} = \frac{141.3}{5\pi} [/tex]

[tex]r = 3[/tex]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

[tex]\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\[/tex]

Simplifying the system of equations, we have

[tex]\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\[/tex]

[tex]\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500[/tex]

                                       [tex]y&=500+100=600\\ z&=3(500)-600=900[/tex]

The video store has 500 children's movies, 600 westerns and 900 horror movies.

Answer:

Part A: f(4) = 2

Part B: k = -7

Step-by-step explanation:

f(4) simply means what the y-value of the graph is when x = 4.

The parabola crosses the coordinate (4,2). In other words, when x = 4, the graph equals 2.

Part B asks to solve the equation: f(4) + k = -5

We already know from Part A that f(4) = 2. So simply substitute 2 for f(4):

2 + k = - 5

Substract 2 from both sides:

k = -7

Answer:

Distance=√(x2−x1)2+(y2−y1)2

Step-by-step explanation:

How to Find Distance Between Two Points?

Note down the coordinates of the two given points in the coordinate plane as, A(x1,y1 x 1 , y 1 ) and B(x2,y2 x 2 , y 2 ).

We can apply the distance formula to find the distance between the two points, d = √[(x2 x 2 − x1 x 1 )2 + (y2 y 2 − y1 y 1 )2]

Answer:

the number of inches the grass grows each day

Answer:

A

Step-by-step explanation:

Answer:

y2=34 y1= -11

x2= 39 x1= -26

y2-y1/x2-x1

34-(-11)/39-(-26)

34+11/39+26

45/65

m=9/13

a= c/√2

b= c/√2

Since side a and b are equivalent to each other and c is the length of side a or b × √2. Dividing c by √2 gives the value of a and b.

a×√2= c

b×√2= c

[tex] \frac{16}{7} = 8x \\ 8x = \frac{16}{7} \\ 8x \div 8 = \frac{16}{7} \div 8 \\ x = \frac{16}{7} \div 8 \\ x = \frac{16}{7} \times \frac{1}{8} \\ x = \frac{2}{7} [/tex]

Answer:

2/7=x

Step-by-step explanation:

16/7= 8x

8x= 16/7

x=16/7 x 1/8

x=2/7

Hope this helps!!

Answer:

105

Step-by-step explanation:

First, in problems like these, you have to find 30% of 150. 30% of 150 is 45. Now, since you want to see how many pies have been sold, you do 150-45, which will give you 105.

Answer:

The mean means average. To find it, add together all of your values and divide by the number of addends. The median is the middle number of your data set when in order from least to greatest. The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.

Step-by-step explanation:

hope this helps

have a good day <3

Answer:

hope this helps!!

Step-by-step explanation:

Mode: Are there two students who have the same number of children (could be zero)? If yes, that’s the mode. If not, there is no mode. Median: Put all five numbers in a row from lowest to greatest. The one in the middle is the median. Range: Take the difference of the greatest minus the lowest and that is the range.

Answer:

Area=16.65

Perimeter=26.3

Step-by-step explanation:

To find the area of a triangle, you must multply the length and height and divide by two. An equation like this could help find the area of a triangle: A=2÷(L×W) In your case, 7.4 is the length and 4.5 is the base. Multiply 7.4 and 4.5 together and divide the result by 2.

To find the perimeter, just add 7.4, 6.3, and 12.6 together. 4.5 doesn't get added, only the 3 sides of the triangle do. Don't forget to label the measurements.

Answer:

In some schools yes but it depends is it a required class? if so then you'd have to retake it.

Answer:

well you might not have to do summer school but you might have to take a course during summer for that class you failed or you may have to redo that class in order to get the points needed to pass but also it depends because even though you might  not pass that one class you can still pass the grade but you will be in the same class or a lower standard for that subject now i am not sure it honestly all depends on your teacher and school if they want you to go the next grade but they can also talk to teachers in the next grade to help you so that you can still pass but you have to do lower standard work  for the class in that next grade

Step-by-step explanation:

hope it helps let me know if you have anymore questions or if you need anymore help understanding or if you need help with work so that you can pass i would be happy to help you

Answer:

∠A≅∠Z          AB ≅ ZX

∠B≅∠X          AC ≅ ZY

∠C≅∠Y          BC ≅ XY

ΔCBA ≅ ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

A customer is more likely to have 1 pet and no children than they are to have 2 pets and no children.

We are given a table with 3 columns titled "have children", "do not have children" and "total".

Under the row titled "1 pet", the respective probabilities are;

P(having 1 pet and children) = 38/91 =  0.4176

P(having 1 pet and no children) = 53/91 = 0.5824

Under the row titled "2 pets", the respective probabilities are;

P(having 2 pets and children) = 85/126 = 0.6746

P(having 2 pets and no children) = 41/126 = 0.3254

Under the row titled "3 or more pets", the respective probabilities are;

P(having 3 or more pets and children) = 46/118 = 0.3898

P(having 3 or more pets and no children) = 72/118 = 0.6102

The only probability that is lower than P(having 1 pet and no children) in the same way is P(having 2 pets and no children).

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Answer:

The answer is "3 pets and children"

Step-by-step explanation:

Got it right on Edmentum

Rose curve equations have two forms: r = a cos(nθ) and r = a sin(nθ) where a ≠ 0 and n is a positive integer. Petals have length determined by a. If n is odd, the number of petals is n. However, if n is even, the number of petals is 2n.

hope it helps aaa ^^'

Answer:

Step-by-step explanation:

Remark

a is one part of the cosine function. It is termed the adjacent side. The given number (12) is the hypotenuse of a right triangle. The reference angle is given as 25. You have all you need to solve for a

Givens

<B = 25o

AB = 12

a = a

Equation

Cos(B) = adjacent side / hypotenuse

Solution

Cos(25) = adjacent side / 12               Multiply both sides by 12

12*cos(25) = adjacent side

cos(25) = 0.90631

12*0.906331 = adjacent side

10.87 = adjacent side

Answer

a = 10.9

Using the t-distribution, the most appropriate conclusion for the hypotesis test is given by Phone use did not change.

Suppose we're specified that:

The sample mean = [tex]\overline{x}[/tex]

The population mean =[tex]\mu[/tex]

The population standard deviation = [tex]\sigma[/tex]

The sample size = n

Then the z-statistic for this data is found as:

[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]

In this problem, the values of those parameters are as follows:

The sample mean  [tex]\overline{x}[/tex] =  -0.2

The population mean =[tex]\mu[/tex] = 0

The population standard deviation = [tex]\sigma[/tex] = 9.1

The sample size = n = 200

Hence, the test statistic is given by:

[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}\\\\\\Z = \dfrac{-0.2- 0}{9.1/\sqrt{200}}\\\\z = 0.31[/tex]

Thus,

t = 0.31.

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:

Phone use did not change.

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Answer:

b)2

Step-by-step explanation:

2x2x2x2=16

Answer:

Area: 16.65m^2 (^2 means to the power of 2 exponent, or squared)

Perimeter: 26.3 m

Step-by-step explanation:

Triangle Area formula: bh/2

Plug it in: (7.4)(4.5)/2=16.65

Perimeter: Add the sides

12.6+7.4+6.3=26.3

Answer:

Step-by-step explanation:

Remark

Here are the formulas for what you are asking for.

P = s1 + s2 + s3

Area = height * base / 2

Givens

s1 = 12.6

s2 = 6.3

s3 = 7.4

height = 4.5

base = 7.4

The area is just slightly different than it normally is. The reason is the height. It is not directly connected to the base. The construction is called the base extended.  See the givens for what that is.

Solution

Perimeter

P = s1 + s2 + s3                        Substitute givens into the formula

P = 12.6+6.3 + 7.4

p = 26.3

Area

Area = (B * H)/ 2

Area = 7.4 *4.5 / 2

Area = 16.65

Answer:

The answer is 2x3 - 11x2 + 16x -3

Step-by-step explanation:

I hope you understand.....

Answer:

Step-by-step explanation:

10/5

Just divide it

= -2

Answer:

Cameron's age=48         Christain's age=54

Step-by-step explanation:

The current total age is 102.

You can do 102-6 as this will give you an idea of Christain's age as it is twice the age of Cameron.

102-6=96

96/2=48

Cameron's age=48

102-48=54

54=Christain's age

Answer:

-216

Step-by-step explanation:

please mark as brilliant

Answer:

1/30

Step-by-step explanation:

P(champion)= 1/30