Find the indicated side of the triangle using
the properties of a 30-60-90 triangle.
b
a
30°
12
b =
M
[?]
Enter

Answer:

V=πr2h=π·22·4≈50.26548

Step-by-step explanation:

the first step is to get a radius that is 1/2 of diameter. So 4/2=2, r=2

then pi x 2^2 x 4 which gets you 50.265 or 20.27 if you round it

The probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day is 53/64

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C).

The results of the survey are shown in the Venn diagram as,

Therefore, for circle B, it can be given as,

[tex]n(B)=11+53=64[/tex]

Similarly, for the circle C,

[tex]n(C)=53+4=57[/tex]

As the intersection of circle B and C contains 53,

[tex]n(BC)=53[/tex]

Now the probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day,

[tex]P(C|B)=\dfrac{P(BC)}{P(B)}\\P(C|B)=\dfrac{n(BC)}{n(B)}\\P(C|B)=\dfrac{53}{64}[/tex]

Hence, the probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day is 53/64

Learn more about the random sample here;

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Answer:

C or 53/64

Step-by-step explanation:

Ed2022

Answer:

$24

Step-by-step explanation:

cost of a pass for a week (without equipment rental) = 7 x 25 = $175

Therefore, cost of just renting the equipment for the week = 199 - 175 = $24

ETA: As an algebraic equation

Let x = number of days

Let y = cost of renting the equipment for a week

y = 199 - 25x

Answer:

See below

Step-by-step explanation:

Graphing all three equations can be done on one DESMOS plot, but it gets very busy and cluttered.  The attached image demonstrates an approach that simplifies the graph.

Enter the three equations and three inequalities separately into six DESMOS input boxes.  Then I clicked off the color circles of the ones I didn't want to see, leaving only two visible at one time.  Each pair represents one line of the function and limit for that function.  Then find the intersection point for the values indicated in the second half of the equation.  

One can also calculate the answers:

a)  (-21,442)

b)  (-4,-1)

c)  (18,15.5)

d) (20,17)

Answer:

77.8

Step-by-step explanation:

In terms of theorems, no I cannot recall right now. the angle opposite of the side in this case C is 77.8

if you were to find both angles on a straight line it's be 180. basically really easy to find all angles

Constant 'k' has the value in the form of factored after factorization, the provided polynomial equation is 2.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

[tex]8x^3 +6x^2 - 32x - 24[/tex]

The factor of the polynomial equation are given as,

[tex]2(x+ k)(x - k)(4x +3)[/tex]

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (8, 6, -32, -24). Thus,

[tex]2(x+ k)(x - k)(4x +3)=2(4x^3 +3x^2 - 16x - 12)[/tex]

Take out the highest common factor to make the groups as,

[tex]2(x+ k)(x - k)(4x +3)=2(x^2(4x +3) - 4(4x + 3))\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -4)\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -2^2)[/tex]

Use the property of difference of the square for the (x²-2²) term as,

[tex]2(x+ k)(x - k)(4x +3)=2(4x +3) (x +2)(x-2)\\2(x+ k)(x - k)(4x +3)=2(x +2)(x-2)(4x +3)[/tex]

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 2.

Learn more about factor of polynomial here;

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Answer:

C

Step-by-step explanation:

Answer:

I provided a picture

Step-by-step explanation:

Hi There!

Given:

To Find:

How many placemats can Mandy make, if she has 200 ft of ribbon?

Solve:

200÷30≈7

Thus, she can make 7 placemats.

[tex]\huge\textbf{TheStarryNights}[/tex]

Answer:

C. 6 placemats

Step-by-step explanation:

Mindy has 200 feet of ribbon and each placemat requires 30 feet of ribbon.

Now, we need to divide 200 by 30.

200/30 ≈ 6.66666666667

Now, what whole number is before 6.66666666667?

6.

Now, what whole number is after 6.66666666667?

7.

What is 7 x 30?

210.

What is 6 x 30?

180.

Mindy has only 200 feet of ribbon, so she can't make 7 placements because 200 < 210, but she can make 6 placements because 200 > 180.

Answer:

1.175A

Step-by-step explanation:From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.

The expression that represents the amount of money in the bank account after the increase will be:

= A + (17.5% × A)

= A + (17.5/100 × A)

= A + (0.175 × A)

= A + 0.175A

= 1.175A

Answer:

2.85

Step-by-step explanation:

It would be 2.85 because half of 3.00 is 1.50 and half of 2.70 is 1.35 add 1.35 and 1.50 together that makes 2.85

Hope that helps :))

Step-by-step explanation:

The americium is represented as 1. Every 432 years it decreases by 50%.

First half-life:

432 years.

[tex]1 \div 2 = 0.50[/tex]

0.50 (1/2) of americium remains after 432 years.

Second half-life:

[tex]432 \times 2 = 864[/tex]

[tex]0.5 \div 2 = 0.25[/tex]

0.25 (1/4) of the americium remains.

Third half-life:

[tex]432 \times 3 = 1296[/tex]

[tex]0.25 \div 2 = 0.125[/tex]

0.125 (1/8) of the americium remains.

Last half-life:

[tex]432 \times 4 = 1728[/tex]

[tex]0.125 \div 2 = 0.0625[/tex]

0.0625 (1/16) of the americium remains.

Option B is correct.

It can be deduced that the price-response function associated with the situation will be P = MWTP =  -e⁻ λ.

A function, in mathematics, is a relationship that exists between one variable that is, the independent variable and the dependent variable.

When the willingness-to-pay distribution of a product is a negative exponential distribution with parameter λ, the price-response function associated with it will be:

dWTP/dλ = -e⁻ λ

P = MWTP =  -e⁻ λ

Learn more about functions on:

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Answer:

well the answer is

Answer:

Inequality: y <= 15x

Step-by-step explanation:

y <= 15x

This means the profit per items is no more than 15 per item

Answer:

angle e = 64

angle d =141

Step-by-step explanation:

for angle e

add 77 to 39 and you'll get 116

subtract 116 from 180

you'll get 64

angle e = 64

for angle d

subtract 39 from 180

and you'll get 141 which is the value of angle d

Answer:

B.  g(x) = (2x)^2

Step-by-step explanation:

See attached image.

The graph of the function g ( x ) = ( 2x )² is plotted

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

Now , the graph of the function is g ( x )

where g ( x ) = 4x²

And , the point P ( 1 , 4 ) lies on the graph

when x = 1

g ( 1 ) = 4

Hence , the graph is plotted and g ( x ) = 4x²

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#SPJ7

The fifth term of the sequence is -15

Given the following recursive functions

[tex]a_1=13\\a^n=a^{n-1}- 7 .[/tex]

For the second term:

a2 = a1 - 7

a2 = 13 - 7

a2 = 6

For the third term:

a3 = a2 - 7

a3 = 6 - 7

a3 = -1

For the fourth term:

a4 = a3 - 7

a4 = -1 - 7

a4 = -8

For the fifth term:

a5 = a4 - 7

a5 = -8 - 7

a5 = -15

Hence the fifth term of the sequence is -15

Learn more on recursive function here: https://brainly.com/question/489759

Answer:

A would have to be the best answered all the all ones dont seen right

Answer:

10 1/3

Step-by-step explanation:

you ar esupposed to add the fractions first.if the fraction is improper(4/3), another number is added to the whole number.finally you ad the whole numbers to get your answer

hope it helps:)

Answer:

Answer: 10 1/3

Jonathan first got the steps right, however, he was incorrect because he added the denominators together. Since the two denominators are the same, the sum will also have a denominator of 3, not 6. In his other steps, he was correct; 7 + 2 = 9, 2 + 2 = 4. Thus, making 9 4/3 or 10 1/3.

Step-by-step explanation:

Step-by-step explanation:

For the solution you put the point at which the lines intersect.

Answer:

D(2.5,  7/2

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

A(0,4) & B(2,2)

[tex]AB =\sqrt{(2-0)^{2}+(2-4)^{2}}\\\\=\sqrt{2^{2}+(-2)^{2}}\\\\=\sqrt{4+4}\\\\=\sqrt{8}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}\\[/tex]

B(2,2)  & C(-2,-1)

[tex]BC =\sqrt{(-2-2)^{2}+(-1-2)^{2}}\\\\=\sqrt{(-4)^{2}+(-3)^{2}}\\\\=\sqrt{16+9}\\\\=\sqrt{25}\\\\=\sqrt{5*5}\\\\=5[/tex]

A(0,4) ; C(-2,-1)

[tex]AC=\sqrt{(-2-0)^{2}+(-1-4)^{2}}\\\\=\sqrt{(-2)^{2}+(-5)^{2}}\\\\=\sqrt{4+25}\\\\= \sqrt{29}[/tex]

Perimeter of triangle = AB + BC + AC

                                  [tex]= 5 +2\sqrt{2}+\sqrt{29}[/tex]

There is an open circle on –6. 5 and the arrow points to the right. The correct options are A and E.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

The given expression is [tex]\rm x > -6.5[/tex].

It means the value of x is more than -6.5.

Since the sign of equality is not there in the equation then at -6.5 will be an open circle. And the arrow points to the right.

The graph is shown below.

More about the inequality link is given below.

https://brainly.com/question/19491153

Answer:

Design 1: $449.45

Design 2: $522.60

Design 3: $318.25

Design 3 as it's the cheapest

Step-by-step explanation:

Design 1

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

Given the slanted side = 3.5

Height = √(3.5² - 1²) = (3√5)/2

⇒ area of design 1 = 1/2(5 + 3) × (3√5)/2 = 6√5 = 13.42 m²

⇒ cost = 13.42 x 33.5 = $449.45

Design 2

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Area of a 6-sided regular polygon = 4 triangles + rectangle

⇒ area of design 2 = 4(1/2 × 1.4 × 2.0) + (2.5 × 4) = 15.6 m²

⇒ cost = 15.6 x 33.5 = $522.60

Design 3

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

⇒ area of design 3 = 1/2(3 + 2) × 2 + 1/2(3 + 1.5) × 2 = 9.5 m²

⇒ cost = 9.5 x 33.5 = $318.25

Answer:

Step-by-step explanation:

Answer:

It should be 5 but my brain is literally dead

Step-by-step explanation:

Please give brainlest

Answer:

A

Step-by-step explanation:

8294/286

Answer:

Obtuse angle

Step-by-step explanation:

If a measurement of an angle is more than 90, then it is obtuse angle

Answer:

Obtuse angle (second option)

Step-by-step explanation

Since m∠FOR = 150°, its measurement is greater than (>) 90° & less than (<) 180°. Hence, it's an obtuse angle.

< 90° =》acute angle

= 90° =》 right angle

> 90° =》 obtuse angle

= 180° =》 straight angle

Hope it helps ⚜