What are the measures of the numbered angles?

Answer:

[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12\% of 59.7}}{\left( \cfrac{12}{100} \right)59.7}\implies 7.164[/tex]

Answer:

c. y=4x+24

Step-by-step explanation:

To identify the equation, the equation must satisfy the points (-5,3).

putting x as -5 should give us y=3

c. y = 4x + 23

y = 4 * (-5) + 23

y = -20 + 23

y = 3

[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

Identify an equation in slope-intercept form for the line parallel to y = 4x - 9

that passes through (-5,3).

[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

If lines are parallel to each other, they have the same slope.

If a line is parallel to [tex]\bold{y=4x-9}[/tex], and the slope of this line is 4, then the slope of the line that's parallel to [tex]\bold{y=4x-9}[/tex] also has a slope of 4.

All right, we know the slope, but that's part of the slope-intercept equation,

We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.

Point-slope form looks like so:-

[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with 3, m with 4, and x1 with -5:-

[tex]\longmapsto\sf{y-3=4(x-(-5)}[/tex]

On simplification,

[tex]\longmapsto\sf{y-3=4(x+5)}[/tex]

On further simplification,

[tex]\longmapsto\sf{y-3=4x+20}[/tex]

On further simplification,

[tex]\longmapsto\sf{y=4x+20+3}[/tex]

Final equation:-

[tex]\longmapsto\sf{y=4x+23}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

Choice D, 20 inches.

Step-by-step explanation:

The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]

c = [tex]\sqrt{9 + 16}[/tex]

c = [tex]\sqrt{25}[/tex]

c = 5

The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.

Answer:

D. 20 in

Step-by-step explanation:

Finding the side of the rhombus :

Perimeter :

Answer:

Step-by-step explanation:

a)

The answer is greater than 450 because the percentage is less than 100%

b)

36% = 36/100 = 0.36

450/0.36 = 1250

how many people were surveyed?:

1250

Answer:

x < & = -23/2

Step-by-step explanation:

Let a number be x.

Twice a number = 2x

2x - 3 = -26 and 2x - 3 < -26

2x = -23 and 2x < -23

x = -23/2 and x < -23/2

The linear equations for the system: y = x + 70 and y = 4x + 10

She'll attend 20 classes/month

The graph for the solution (20, 95) is in the image attached below

A linear equation can expressed in slope-intercept form, as, y = mx + b.

Linear equation for the first membership plan:

b = 70

m = 1

x = number of classes

y = total amount

Equation for the first membership plan: y = x + 70

Linear equation for the second membership plan:

b = 10

m = 4

x = number of classes

y = total amount

Equation for the second membership plan: y = 4x + 10

The system of equations are:

y = x + 70

y = 4x + 10

The solution is the point at which the line for both equations intersect on the graph as shown in the image attached below, which is: (20, 95).

This means Mary must attend 20 classes for each membership plan, she must attend 20 classes to pay the same total amount of $95 per month.

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Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.

The period of a function is given by the distance between it's repetitions.

In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.

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Answer:

9.6 ft.

Step-by-step explanation:

Given they are similar, take the sides of the triangles in proportion.

Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.

The Porches work 80% of the time and the Ferraris work 60% of the time.

Using the binomial distribution, the probability that half the Porches work is:

= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾

= 0.9728

The probability that half the Ferraris work is:

= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾

= 0.84

The probability that only half of both will work is:

= 0.9728 x 0.84

= 0.8172

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Answer:

Step-by-step explanation:

Answer:

=> e is greater than Or equal to 13

Answer:

Hey I don't know if this helps but I your trying to see if the equality is true of false it would be false

Answer:

$204

Step-by-step explanation:

Expression : 240 x 15%

15% x 100 = 0.15

Equation : 240 x 0.15 = 36

Final Answer : 36

240 - 36 = 204

Answer:

10 I think but not sure. but It has to be an Evan number

Answer:

7

Step-by-step explanation:

The median is 7, if you place all the numbers in order then start crossing off the smallest and then largest number, you would be left with the number in the middle which is 7.

Answer:

7

Step-by-step explanation:

3, 3, 5, 7, 8, 9, 11

7 is in the middle.

answer = 70

top triangle

1/2 times 5 times 5 = 12.5

12.5 times 2 = 25

bottom

14 - 5 = 9

1/2 times 5 × 9 = 22.5

22.5 times 2 = 45

45 + 25 = 70

The area of the kite is [tex]70in^2[/tex]

The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Given;

[tex]10_{14}=140[/tex] ÷ [tex]2=70[/tex]

[tex]70_2=140[/tex]

Therfore, the area of the kite is [tex]70in^2[/tex]

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Answer:

Step-by-step explanation:

I calculated it.

Answer:

the answer is 21

21

The volume of the stump in cubic inches is 18095.6  if the Ashley measures its height as 1.2 ft and its radius as 20 in.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have h = 1.2 ft = 1.2×12 = 14.4 inches

r = 20 inches

[tex]\rm V = \pi (20)^2 \times 14.4[/tex]

After calculating, we get:

V = 18095.57 ≈ 18095.6 cubic inches

Thus, the volume of the stump in cubic inches is 18095.6  if the Ashley measures its height as 1.2 ft and its radius as 20 in.

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Answer:

Step-by-step explanation:

2

The exterior angle and x form a straight line which need to equal 180.

x = 180-70 - 110

Answer: x = 110

For the given triangle the required measure of angle is 110°.

Use the concept of a triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Since we know  that,

The angle of a line is 180 degrees.

Therefore, for the given triangle,

x° + 70° = 180°

Subtract 70° on both sides,

x°  = 110°

Hence,

The measure of x° is 110°.

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Answer:

3/2

Step-by-step explanation:

it's the slope because it's before x.

Answer:

-35

Step-by-step explanation:

Answer:

54(16÷8)-10?????

Step-by-step explanation:

I'm bad at this

Answer:

[tex]volume \: of \: triangular \: prism = \frac{1}{2} \times b \times h \times h \\ = \frac{1}{2} \times 8 \times 12 \times 9 \\ = 432m {}^{3} [/tex]

Answer:

the answer is 9, the total number of dots is 18. which divided into three is 6 in a column.

and the 1/2 of this in the group Is 9

Answer:

I am going to use a dot to represent a line:

1 . 1, 2, 3, 3, 7

2. 2, 3, 4

3. 2, 5

Answer:

(0, -3, 2)

(0, -3, 0)

(-4, 0, 2)

Corner where 2 or more edges meet.

If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given

[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]

be the two points.

Answer:

Question 1:

Rectangular prism requires [tex] 10.185\: in^2[/tex] more material to make than the cylinder.

Question 4:

The cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.

Step-by-step explanation:

Question 1:

Question 4:

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]

Now, we will substitute the values in the formula :

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]

Therefore,