An isosceles triangle has legs measuring 9 feet and a base of 12 feet. Find the measure of the base angle, x, to the nearest degree

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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When a stone is dropped into a lake, it generates a circular ripple that travels outward at a velocity of 60 cm/s. We need to find the value of A ∘ r. When solving such a problem, the wave equation is used.

A general wave equation is given as follows: A(x, t) = f(x - vt) + g(x + vt)where A is the amplitude of the wave, v is the speed of the wave, and f and g are functions that depend on the shape of the wave. Initially, the stone is dropped into the lake, and the ripple starts to propagate outward.

We assume that the shape of the ripple is circular; thus, we can say that the function that represents the ripple is: A(x, t) = A∘r(x, t)where r is the distance from the center of the ripple to any point on the circumference of the ripple. Since the ripple is circular, r will be constant at any given point on the circumference of the ripple. Also, we can assume that the amplitude of the ripple is constant; therefore, A is also constant at any point on the ripple circumference. The wave speed is given as 60 cm/s, and the ripple is circular, so the equation that represents the ripple can be written as: A(x, t) = A∘r(x - vt)For a circular ripple, the distance r from the center of the ripple to any point on the circumference can be expressed in terms of the angle θ between the radius vector and the x-axis. Hence, we can write: r = Rsin(θ)where R is the radius of the circle. The wave equation is given as:A(x, t) = A∘r(x - vt) Substitute r into the wave equation and we get: A(x, t) = A∘ Rsin(θ) (x - vt) From the initial point of the ripple, t = 0. Hence, the wave equation becomes: A(x, 0) = A∘Rsin (θ) x We can now solve for A ∘ R by using the following equation:A(x, 0) = A∘Rsin(θ) x.Thus, the value of A ∘ R is given as: A ∘ R = A(x, 0) / sin(θ)The final answer will be (A ∘ r)(t) = (A ∘ R)sin(θ) (x - vt).

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Answer:

A solution of a linear system is an assignment of values to the variables x1, x2, ..., xn such that each of the equations is satisfied. The set of all possible solutions is called the solution set.

Step-by-step explanation:

Answer:

370.85

Step-by-step explanation:

The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Answer:

Ken’s error was showing a decrease in temperature by moving 2 units left on the number line. He should have moved 2 units right to represent an increase in temperature of 2°CStep-by-step explanation:

Answer:

Step-by-step explanation:

Use the area formula:

\(\\ \sf\longmapsto Area=LB\)

\(\\ \sf\longmapsto Area=10\dfrac{3}{4}\times 8\dfrac{1}{2}\)

\(\\ \sf\longmapsto Area=\dfrac{43}{4}\times \dfrac{17}{2}\)

\(\\ \sf\longmapsto Area=\dfrac{731}{8}\)

\(\\ \sf\longmapsto Area=91\dfrac{3}{8}ft^2\)

Answer:

Cheetah A ran at a faster speed than Cheetah B, as it ran 18 miles in 16 minutes while Cheetah B ran 54 miles in 50 minutes.

Step-by-step explanation:

Answer: its A

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Formula for the surface area of rectangular prism = 2(lb + bh + hl)

Here, l = Length of the prism

b = Width  

h = Height

If l = 25 cm, b = 12 cm and h = 20 cm

Surface area of the rectangular prism = 2(25×12 + 12×20 + 20×25) cm²

Therefore, Option D will be the correct option.

Answer:

0.25(4x + 7)

Step-by-step explanation:

Answer:

Already in simplest form. -37/76

Step-by-step explanation:

Nothing changes, it's the most simplified it can be.

answer #

you can't simplify the answer

Answer:

1

Step-by-step explanation:

first, solve in the parentheses then solve from there:

1 + 4 = 5

50 - 5^2 / 25

50 - (5 x 5 ) /25

50 - 25 / 25

25 / 25

1

\(\\ \tt\longmapsto \dfrac{50-(1+4)^2}{25}\)

\(\\ \tt\longmapsto \dfrac{50-5^2}{25}\)

\(\\ \tt\longmapsto \dfrac{50-25}{25}\)

\(\\ \tt\longmapsto \dfrac{25}{25}=1\)

The solution for all triangles shown in the image below is given as

Generally, the equation is given as'

hypo^2=adj^2 +opp^2

Therefore

\(x=\sqrt{81^2+108^2}\)

x=135

2)

\(x=\sqrt{8^2-4^2}\)

x=6.92

3)

\(x=\sqrt{20^2+15^2}\)

x=25

4)

\(x=\sqrt{6^2+10^2}\)

x=11.66

5)

x=\sqrt{77^2-55^2}

x=53.88

6)

x=\(\sqrt {48^2+90^2}\)

x=102

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The solution of expression is,

⇒ (6 + a⁴b) / a²b²

We have to given that,

An expression to solve is,

⇒ 6/a²b² + a²/b

Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, WE can simplify the expression as,

⇒ 6/a²b² + a²/b

Take LCM;

⇒ (6 + a² × a²b)  / a²b²

⇒ (6 + a⁴b) / a²b²

Therefore, The solution of expression is,

⇒ (6 + a⁴b) / a²b²

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The time taken to completely fill the pool is 5/4 hour

From the question, the given parameters are:

Time =3/4 hour

Size of the pool = 3/5

The time to fill the pool is then calculated as

Time = Given time/Proportion of the pool

Substitute the known values in the above equation

So, we have the following equation

Time = 3/4 hour ÷ 3/5

Express the quotient as product

So, we have the following equation

Time = 3/4 hour x 5/3

Evaluate the products

Time = 5/4 hour

Hence, the time taken is 5/4 hour

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Answer:

$18

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

Answer:

vertical line x = -3

horizontal line y =  -9

Step-by-step explanation:

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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Answer:

1. -25

3. 15

5. -5/4

Explanation:

Considering the given functions for a(x)

1. To solve for a(8), we'll have to use the third function since we're given that x > 1 in the 3rd function and we know that 8 is greater than 1.

So we'll have;

3. To solve for a(-7), we'll use the 1st function because -7 is less than -6 and the condition is x <= -6;

5. a(-1/2)

In this case, we'll use the 2nd function is -1/2 lies between -6 and 1.

So, we'll have;

Answer:

Take  the expression  x^2/3  which has an exponent  of 2/3.  The top of the fraction refers to the power  - that is  x^2 ( x squared). and the 3 indicates  a cubic root.

So in radical form  it is  ∛(x^2)

Converting radical to exponent  an example would be

∛(x^5)   =  x^(5/3)    

Step-by-step explanation:

hope this helps.

The quadratic equation is −x²+10x. Domain for the given equation is (0,10) and the Range is (0,25]. The x-intercept is (0,10) and the area is 10.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

Here,

quadratic function in standard form that models f(x), the total area of the playground in square feet in terms of its width x in feet,

f(x)=−x²+10x

The graph is given below,

Domain=(0,10)

range=(0,25]

To determine the domain that must exist between them, we used the xx-intercepts. We excluded them from the domain because the area at the x-intercepts is 0.

Since an area must be greater than 0, y>0y>0 follows. Remembering that the vertex of the graph of f(x) has the maximum point of (5,25) the maximum value for y is 25.

−x²+10x is the quadratic equation. The domain and range of the given equation are (0,10) and (0,25), respectively. (0, 10) is the x-intercept, and 10 is the area.

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Answer:

1st one- 4

2nd one- 1

3rd one- 5

4th one-6

5th one-3

6th one-2

Answer:

add 3 :)

Step-by-step explanation:

hope this helps :))

Answer:

SUBTRACT 3 NOT ADD 3.

Step-by-step explanation:

you have to switch it from +3 to -3!

The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

Answer:

A rational number is a number such as -3/7 that can be expressed as the quotient or fraction a/b of two integers, a numerator q and a non-zero denominator b. Every integer is a rational number: for example, 10 = 10/1.

No.

\(5 \frac{1}{3} \)

So we can turn from 5 1/3 to 16/3

Note that 16/3 makes infinity decimal but if the infinity decimal can be turnt into a fraction, it will be classified as rational number.

Annabeth's bi-weekly gross earnings, including overtime compensation, would be $1,097.56.

Amount is a term used to describe a quantity or size of something. It is used to refer to a number of objects, items, or people, as well as a measure of money, time, or distance. Amount is also used to describe the total sum of money that is owed, received, or spent.

This amount is calculated by multiplying her hourly rate of $21.84 (which is determined by dividing her bi-weekly gross earnings of $913.45 by 40 hours) by 47 hours, which is the total number of hours worked in the week. Then, her overtime compensation of 7 hours is multiplied by her hourly rate of $21.84 multiplied by 1.5, which is the rate for time-and-a-half. The sum of these two amounts is her bi-weekly gross earnings with overtime, which is $1,097.56.

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