3. MATCH is a regular pentagon with coordinates M(-1,1) and A(3,0). What is the perimeter of MATCH?

the perimeter of a room is 88 feet. the ratio of its length to its width is 7:4. you want to tile the floor with 18 inch square

yulyashka [42]

Hello my friend is in a lot that way we have some stuff in our garage that way I dont I know how much we have a little thing in our school so I will can I have the answer and you can get them for the kids

5 0

3 years ago

Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

DiKsa [7]

Answer: Around 68.0858 m

Step-by-step explanation:

Set the height of 37°-53°-90° triangle as x
Set the height of 50°-40°-90° triangle as y
The horizontal side both triangles share = 35

To find x To find y

$tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...$ $tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...$

To find the height of the building, add the x-value and y-value:

$x+y=26.3744+41.7114=68.0858$

I hope this is correct o_o

7 0

3 years ago

Emily wins 22000$. She has to pay 10% for charity and then she decides to buy a car for 10800$. She divides the rest of them bet

devlian [24]

Answer:

$7 200

Step-by-step explanation:

Amount of money paid for charity = $\frac{10}{100}$ × $22 000

= $2 200

Remaining money left for children = $22 000 - $2 200 - $10 800

= $9000

Let the amount of money her son receives be x and the amount her daughter gets be 4x.

Son's $ + Daughter's $ = $9000

x + 4x = 9000

5x = 9000

Amount of money her daughter gets (4x) = $\frac{4}{5}$ × 9000

= $7 200

4 0

3 years ago

How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R

serg [7]

Solving a system of equations we will see that we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

x = liters of the 35% acid used.
y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0

2 years ago

The varsity basketball team started selling T-shirts online in 1994. The number of T-shirts sold online, s, is modeled by the gr

-Dominant- [34]

(PART-A): s-intercept in this case represents the y-intercept of the graph, whereas the t-intercept in this case represents the x-intercept of the graph.

Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the y-intercept (s-intercept) in this case is 6. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is no x-intercept (t-intercept). It means that there is not a single year when the number of shirts sold is 0.

(PART B): As you can see in the graph (attached with the question) that the f(t) is increasing (exponentially) with the increase in t. Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."

(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

slope = $\frac{y_2 - y_1}{x_2 - x_1}$ --- (X)

Given points: (5, 12.5) and (7, 22). Plug the values in equation (X),

slope = $\frac{22-12.5}{7-5} = 4.75$

Hence, the average rate of change for the function between t=5 and t=7 is 4.75 (answer).

(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in hundreds. It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

$g(t) = f(t) + 10$ --- (Y)

Why did I add f(t)? Because in the question, the word "and" is underlined. It means that g(t) represents not only 1000 T-shirts (10*100 = 1000) sold at the basketball games each year, but it also has the number of T-shirts sold ONLINE, which is f(t).

Now insert f(t) in (Y) and solve:

$g(t) = f(t) + 10\\g(t) = (1.5)^t + 5+ 10\\g(t) = (1.5)^t + 15$

Hence, g(t) is $(1.5)^t + 15$

8 0

3 years ago

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