There were 45 girls and 24

Find the area and perimeter of the triangle below. Show all work.

Gnoma [55]

Answer:

Area = 20.52 cm^2 and Perimeter = 28.68 cm.

Step-by-step explanation:

Use Pythagoras theorem to find the base of the triangle.

a^2 = 6^2 - 3^2 = 27

a = sqrt27

b^2 = 9^2 - 3^2 = 72

b = sqrt72

Base = sqrt27 + sqrt72

= 13.68

So Area = 0.5 * 13.68 * 3

= 20.52 cm^2 (answer)

Perimeter = 9 + 6 + 13.68

= 28.68 ( answer).

8 0

3 years ago

Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of

Ivenika [448]

Answer:

C

Step-by-step explanation:

AB + BC = AC , that is

5x + 4 + 4x - 8 = 23

9x - 4 = 23 ( add 4 to both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Then

AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C

3 0

3 years ago

How do i find the values of x and y that make the quadrilateral a parallelogram

kow [346]

4x+13=5x-12
-4x. +12

25=x

3(25)-8=4y+7
75-8=4y+7
67=4y +7
-7

60=4y
y=15

lol i know this is correct bc this was a problem on my homework a couple days ago and i got it right

7 0

3 years ago

Tameka signs up for membership at a rock climbing gym. She pays a

SSSSS [86.1K]

Answer and Step-by-step explanation:

In the equation y = 25x + 100, the format of y = mx + b is being used. This is a very commonly used base for equations in math, especially when it comes to graphing.

In the equation, the m stands for the slope in the equation, and the b stands for the y intercept. Slope can also be found by taking the rise/run of a graph.

So, the slope of this line is 25, and the y-intercept 100.

I have also included the this equation on a graph as well.

I hope that this helps.

8 0

3 years ago

Question: An airport deli sells turkey, ham, and roast beef sandwiches. A customer can choose between turkey,

Dmitry_Shevchenko [17]

Answer:

$\displaystyle \frac{1}{12}$ .

Step-by-step explanation:

Ginger selects the ingredients randomly. Therefore, the choices she makes would be independent. In other words, her choice of cheese (and mayonnaise) won't depend on what she chose for meat. Therefore:

$\begin{aligned}& P(\text{(roast beef) and (cheese) and (no mayonnaise)}) \\ &= P(\text{roast beef})\cdot P(\text{cheese}) \cdot P(\text{no mayonnaise})\end{aligned}$ .

It is worth noting that this equality would not be valid if the choices are not independent. For example, if Ginger is more likely to choose mayonnaise after choosing cheese, then $P(\text{(roast beef) and (cheese) and (no mayonnaise)})$ and $P(\text{roast beef})\cdot P(\text{cheese}) \cdot P(\text{no mayonnaise})$ would likely be different.

What is the probabilities that Ginger would select roast beef for the sandwich? The question states that Ginger is "equally likely" to select each of turkey, ham, and roast beef. In other words:

$P(\text{roast beef})= P(\text{turkey}) = P(\text{ham})$ .

At the same time, Ginger has to choose exactly one of these options. She can't choose no meat of more than one options at a time. Therefore:

$P(\text{roast beef})+ P(\text{turkey}) + P(\text{ham}) = 1$ .

Combine these two equations to conclude that:

$\displaystyle P(\text{roast beef}) = \frac{1}{3}$ .

Similarly, Ginger has to choose between cheese or no cheese, and mayonnaise or no mayonnaise. Therefore:

$\displaystyle P(\text{cheese}) = \frac{1}{2}$ .
$\displaystyle P(\text{mayonnaise}) = \frac{1}{2}$ .

Back to the probability for roast beef, cheese, and no mayonnaise:

$\begin{aligned}& P(\text{(roast beef) and (cheese) and (no mayonnaise)}) \\ &= P(\text{roast beef})\cdot P(\text{cheese}) \cdot P(\text{no mayonnaise}) \\ &= \frac{1}{3} \times \frac{1}{2} \times \frac{1}{2} \\ &= \frac{1}{12}\end{aligned}$ .

8 0

4 years ago