Three boys, Adam, Kyle, and Ty, and two girls, Anne and Kate, have volunteered to help plan the school dance. One student will be randomly selected to plan and host the event, while another will be randomly selected to manage all the scheduled activities. The remaining volunteers will help decorate the gym for the dance. What is the probability that a girl will host the event and Anne will manage the event?

Answer:

2.

Step-by-step explanation:

This is called the ambibuous case where  2 sides are given and angle opposite one of these sides.

2 traingles are possible.

Answer:

According to the graph:

H^2 + 10^2 = 21^2

Solve as:

H = 18.19 feet

So the height is 18.19 feet

Answer: A. Obstacle

Step-by-step explanation: They have the same meaning.

Answer:

Step-by-step explanation:

[tex]y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x[/tex]

Answer:

  3/4

Step-by-step explanation:

You can form the product, then cancel common factors, or you can cancel common factors before you form the product.

__

  [tex]5\times\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3\cdot5}{4\cdot5}=\boxed{\dfrac{3}{4}}\\\\\textsf{or ...}\\\\5\times\dfrac{3}{20}=\dfrac{5}{20}\cdot\dfrac{3}{1}=\dfrac{1}{4}\cdot\dfrac{3}{1}=\boxed{\dfrac{3}{4}}[/tex]

Answer:

Step-by-step explanation:

Break up the shape into a trapezoid and rectangle:

Trapezoid area = (Top + Bottom) * Height / 2

= (9 + 20) * (21-16) / 2

= 29 * 5 / 2

= 72.5

Rectangle area = Length * Width

= 20 * 16

= 320

Combining, the total area = 72.5 + 320

= 392.5 in^2

Answer:

A = 392.5 in²

Step-by-step explanation:

The composite figure is made up of a rectangle and a trapezoid.

Calculate the area of the rectangle:

[tex]\begin{aligned}\textsf{Area of a rectangle}&=\sf length \times width\\&=20 \times 16\\&=320\; \sf in^2\end{aligned}[/tex]

Calculate the area of the trapezoid:

[tex]\begin{aligned}\textsf{Area of a trapezoid}&=\dfrac{\text{base}\;a+\text{base}\;b}{2} \times \text{height}\\&=\dfrac{9+20}{2} \times (21-16)\\&=\dfrac{29}{2} \times 5\\&=72.5\; \sf in^2\\\end{aligned}[/tex]

Therefore, the area of the composite figure it the sum of the area of the rectangle and the area of the trapezoid:

[tex]\begin{aligned}\textsf{Total area of composite figure}&=\textsf{Area of rectangle}+\textsf{Area of trapezoid}\\&=320+72.5\\&=392.5 \; \sf in^2\end{aligned}[/tex]

Therefore, the area of the composite figure is 392.5 in².

S=0,5ha

4.06=0,5ha

ha=8.12

a=8.12/h

Answer:

y=-2x-1

Step-by-step explanation: This is because of rise/run. This means rise, count up or down until you hit the line that is horizontal to where your line intersects a whole point. Then run, what you count horizontal matches with your rise count. This means we can count 2/1 and since it's going down it's negative. So the slope is -2 and the y-intercept is -1 because it intersects through the y-intercept -1.

Answer:

48%

Step-by-step explanation:

there are 250 cars in total 50+70 is 120 (the red  or blue cars)

so there are 120 "yes" out of 250 total of 120 divided by 250 equal 0.48 or 48%

Answer:

assuming they only have to pay for parking once, 8 friends can go, if each person has to pay for parking and ticket only 5 people can go, Im assuming it'll be 8 for the answer tho I hope I'm right

There are 8 people can go to the amusement park.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount = $285.75

Parking = $13.75

Price of ticket per person = $34.

So, money left after paying for parking

=285.75 - 13.75

= 272

Now, number of people in amusement park

= 272/34

=8

Hence, 8 people can go to the amusement park.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ6

Answer:

140.80

Step-by-step explanation:

Not completely sure if my answer is correct

Answer:

58km

Step-by-step explanation:

perimeter of rectangle= 2x(l+b)

2x(28+1)

2x29=58

I think you meant solve [tex](4^2)x(2^9)[/tex]

Answer:

8192

Step-by-step explanation:

Given:

[tex]\left(4^2\right)x\left(2^9\right)[/tex]

Solution:

[tex]\left(4^2\right)x\left(2^9\right)[/tex]

[tex]=4^2x \:2^9[/tex]

[tex]4^2=16[/tex]

[tex]=16x \:2^9[/tex]

[tex]2^9=512[/tex]

[tex]=16x\:512[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]

[tex]=8192[/tex]

~lenvy~

Answer:

=> 8192

Step-by-step explanation:

Given :

(4²)x(2⁹)

=> (16)x(512)

=> 16.512

=> 8192

Answer:

10 hours

Step-by-step explanation:

multiply b 2 then divided the miles and time and add to the total to get the time and miles you need

Answer:

There are 6 congruent triangles in a regular hexagon.

The triangles are equilateral (all sides are equal in length).

Using side length of equilateral triangle formula:

[tex]\sf x=\sqrt{\dfrac{4}{3}h^2}[/tex]

where x is the side length and h is the height

[tex]\sf \implies x=\sqrt{\dfrac{4}{3}\cdot 6^2}[/tex]

[tex]\sf \implies x=\sqrt{48}[/tex]

[tex]\sf \implies x=4\sqrt{3} \ units[/tex]

Therefore, perimeter = 6 × 4√3 = 24√3 units

Radius = side length of triangle = 4√3 units

Side Be a

[tex]\\ \rm\rightarrowtail h=\dfrac{\sqrt{3}}{2}a[/tex]

[tex]\\ \rm\rightarrowtail 6=\dfrac{\sqrt{3}}{2}a[/tex]

[tex]\\ \rm\rightarrowtail 12=\sqrt{3}a[/tex]

[tex]\\ \rm\rightarrowtail a=12/\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail a=4\sqrt{3}[/tex]

Perimeter:-

Answer:

The answer is -1.5

Step-by-step explanation:

Hope that helps.

Answer:

Step-by-step explanation:

-3/4 + (-3/4) remove parentheses

-3/4- 3/4 calculate the difference

-3/2 or - 1 1/2 or -1.5

Answer:

Step-by-step explanation:

16% of 250

250% of 16

Both outcomes are same so the answer is True

Let's check

16% of 250

250% of 16

Yes true

Answer:

12.5%

Step-by-step explanation:

0.25  * 100

= 12.5%

Answer:

(2x,2y)

Step-by-step explanation:

Hope this helps!!!

The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm

Dilation is the increase or decrease in the size of an figure or object.

A dilation with a scale factor of 2 is applied to the three line segments shown to form P'Q', A'B', and M'N'.

Hence:

P'Q' = scale factor * PQ = 2 * 2 = 4 cm

A'B' = 2 * 1.5 = 3 cm

M'N' = 2 * MN = 2 * 3 = 6 cm

The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm

Find out more on dilation at: https://brainly.com/question/10253650

Answer:

1062

Step-by-step explanation: Find the area of each side then add it all up

Answer:

p = 35

Step-by-step explanation:

the midsegment WY is half the measure of VZ , that is

WY = [tex]\frac{1}{2}[/tex] VZ ( substitute values )

p - 21 = [tex]\frac{1}{2}[/tex] (p - 7) ← multiply through by 2 to clear the fraction

2p - 42 = p - 7 ( subtract p from both sides )

p - 42 = - 7 ( add 42 to both sides )

p = 35

Answer:

[tex]\boxed{\sf{y=2x+7}}[/tex]

Step-by-step explanation:

Use a slope formula and slope-intercept formula.

Slope-intercept formula:

[tex]\sf{y=mx+b}[/tex]

The m represents the slope.

The b represents the y-intercept.

Slope formula:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]

Rewrite the problem down.

[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]

y=2x+7

I hope this helps you! Let me know if my answer is wrong or not.

Check the picture below.

Answer:

4 ways

Step-by-step explanation:

Given

Possible combinations

Answer:

8.49 and No

Step-by-step explanation:

C² - b² = a² (pythagorus rule rearranged for a²)

9² - 3² = a²

81 - 9 = a²

a² = 72

a = 8.49 and no they aren't a triple.

The answer is: Yes, all conditions for inference are met.