Q2) The number of people signed up for a bus trip increased from 32 to
45. What is the percent increase?

Answer:

The sum of the legs is equal to the hypotenuse.

Step-by-step explanation:

I hope that this helps u..

Answer:

The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).

Answer:

209.6

Step-by-step explanation:

Answer:

209.6

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Answer:

I think you multiply its height by its width for the area, the volume= LXWXH.

Step-by-step explanation:

Step-by-step explanation:

First , Split the given shape into two parts : Trapezium and rectangle :

Here , 18 m and 11 m are the opposite parallel side and (15-8) = 7m is the height of the trapezium.

[tex] \boxed{ \sf{Area \: of \: trapezium = \frac{1}{2} h(a + b)}}[/tex]

⤑ [tex] \tt{ \frac{1}{2} \times 7(18 + 11})[/tex]

⤑ [tex] \sf{ \frac{1}{2} \times 7 \times 29}[/tex]

⤑ [tex] \sf{101.5 \: {m}}^{2} [/tex]

Area of trapezium = 101.5 m²

In rectangle , 18 m is the length and 8 m is the width.

[tex] \boxed{ \sf{Area \: of \: a \: rectangle = l \times w}}[/tex]

⤑ [tex] \sf{18 \: m \: \times 8 \: m}[/tex]

⤑ [tex] \sf{144 \: {m}}^{2} [/tex]

Area of a rectangle = 144 m

Now , Finding total area of given shape :

[tex] \boxed{ \sf{Total \: area = Area \: of \: trapezium + area \: of \: a \: rectangle}}[/tex]

⤑ [tex] \sf{101.5 \: {m}^{2} + 144 \: {m}}^{2} [/tex]

⤑ [tex] \sf{245.5 {m}}^{2} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⇾ \: Our \: final \: answer : \boxed{ \underline{ \tt{245.5 \: {m}^{2} }}}}}}}[/tex]

Hope I helped ! ツ

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Answer:

$2,456.70

Step-by-step explanation:

Answer:

m < 1 = 52

m < 3 = 52

Step-by-step explanation:

m < 8 = 128 therefore m < 4 = 128

1.) we know that m < 4 + m < 1 must equal 180

128 + m < 1 = 180

180 - 128 = m < 1

52 = m < 1

due to the position of m < 1 and m < 3, they are the exact same

Answer:

The number 0 is not included; thus the number line indicates an open circle on 0, meaning 0 is not include in the solution.

Please check the attached graph.

Step-by-step explanation:

Given the inequality expression

N > 0

It is clear that the value of N is greater than 0, it means the solution contains all the positive real numbers greater than zero.

In other words:

[tex]N>0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:N>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

The number line containing the solution N > 0 is shown and attached below.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 0 number.

Please check the attached graph.

Answer:

18 pencils

Step-by-step explanation:

she had 18 minus 5= 13 hope this helps

Answer:

a. 66.8%

b. 0.855

Step-by-step explanation:

In a recent survey in a Statistics class,

Percentage of students that attended class on Friday = 60%

Percentage of students that did not attend class on Friday = 100 - 60% = 40%

Percentage of those who went to class on Fridays and passed the course = 98%

Percentage of those who did not go to class on Fridays and passed the course = 20%

a. What percentage of students is expected to pass the course?

This is calculated as:

= 60% × 98% + 40% × 20%

= 0.668

Converting to percentage

= 0.668 × 100

= 66.8%

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

We solve using Baye's Theorem

= [60 × 98%]/[60% × 98% + 40% × 20%]

= 0.588 /0.688

= 0.8546511628

Approximately = 0.855

Part(a): The required pass percentage is 66.8%

Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]

Given that,

P(Friday) = 0.60, P(No Friday) = 0.40

[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]

Part(a): The percentage of students expected to pass the course is 0.668.

[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]

Part(b):

The probability that he/she attended classes on Fridays is 0.8802

[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]

Learn More:https://brainly.com/question/23485751

Answer:

468.4 meters

Step-by-step explanation:

Find the width of the rectangle.

The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.

A=length*width

8,400=140*width

60= width

Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a​ circle, the perimeter of the two semicircles is equal to the circumference of one circle.

The circumference of a circle is equal to pi​d, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.

​So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.

≈188.4

(2 times 140)+ 188.4

​So, the perimeter of the track is 468.4 meters.

This is Q.a

I hope this helps

Answer:

q

Step-by-step explanation:

Answer:

48 cm by 27 cm

Step-by-step explanation:

(16/9)*3=48/27

Answer:

[tex] {x}^{2} + {x}^{2} = {(8 \sqrt{2}) }^{2} \\ 2 {x}^{2} = 128 \\ {x}^{2} = 64 \\ \boxed{x = 8}[/tex]

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

Answer:

41.4 im pretty sure

Step-by-step explanation:

Hey there!

The answer to your question is [tex]-2 \frac{3}{11}[/tex]

[tex]-2(4x+4) - 3x -2= 34[/tex]       Write the equation

[tex]-8x - 8 - 3x - 2 = 34[/tex]           Distribute -2

[tex]-11x-10 = 34[/tex]                      Combine like terms

[tex]-11x = 24[/tex]                              Add 10 to both sides

[tex]-2 \frac{3}{11}[/tex]                                         Divide both sides by -11

Hope it helps and have a great day!

Answer:

initial velocity = 15 m/s

final velicity = 0 m/s

time required = 10sec

Formula is V = U + at

0 = 15 + a 10

-15 ÷ 10 = acc

acc = - 1.5 m/s^2

plz give branlist

Step-by-step explanation:

it means having more than 1 and half piece of pizza

Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

a1 = 9

a2 = a1 + 4

a2 = 9 + 4

a2 = 13

a3 = a2 + 4

a3 = 13 + 4

a3 = 17

a4 = 21

a5 = 21 + 4

a5 = 25

This can more easily be done by using this formula

L = a1 + (n - 1) * d

a1 = 9

n = 5

d = 4

L = 9 + (5 -1)*4

L = 9 + 4*4

L = 9 + 16

L = 25

Answer:

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Step-by-step explanation:

Given that:

Speed of Mr. Chandler = 70 mph

Distance covered in 4 hours = 70 * 4 = 280 miles

Let,

h be the number of hours.

y be the total distance covered.

y = 70h + 280

Speed of Mrs. Chandler = 80 mph

y = 80h

For catching up, the distance would be same.

80h = 70h + 280

80h - 70h = 280

10h = 280

Dividing both sides by 10

[tex]\frac{10h}{10}=\frac{280}{10}\\h=28[/tex]

Hence,

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Answer:

Step-by-step explanation:

Answer:

Cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]

Step-by-step explanation:

We need to find a cubic polynomial function with zeros 3,3 and -3.

If zeros of polynomial are: 3,3,and -3

we can write:

x=3, x=3, x=-3

Or

We can write:

x-3=0, x-3=0, x+3=0

Now, we can write them as:

(x-3)(x-3)(x+3)=0

Multiplying the terms, we can find the polynomial:

[tex](x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0[/tex]

So, cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]

Note: Origin point = (0,0).

[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Rewrite the equation by substituting m = 9/4 in the equation.

[tex]y = \frac{9}{4} x + b[/tex]

Because the graph passes through the origin point. That means the y-intercept is (0,0).

Therefore we rewrite the equation again to

[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]

[tex] \large \boxed{y = \frac{9}{4} x}[/tex]

Answer:

centre = (3, - 7 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

(x - 3)² + (y + 7)² = 121 ← is in standard form

with centre = (h, k ) = (3, - 7 )

Answer:

f g e is the answer

Step-by-step explanation:

Answer:

All you have to do is subtract by the corresponding attributes and answer each accumulation

Step-by-step explanation:

Step-by-step explanation:

Sorry I cant get any more answers but I really hope that this helps

Answer:

(x+3/4)(x+1)

Step-by-step explanation:

you can learn this in algebra 2

plz brainliest!