What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0

Delicious77 [7]

Answer: x=40°

Step-by-step explanation:

The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40

3 0

3 years ago

Read 2 more answers

f a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will i

saveliy_v [14]

When it hits the ground h = 0 so we have

-16t^2 + 36t + 4 = 0

t = 2.36 seconds to nearest hundredth.

4 0

3 years ago

1 Which type of data is best represented using a line plot?

irakobra [83]

Answer:

#1) D frequency data that can be plotted on a number line ; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.

Step-by-step explanation:

#1) A line plot shows the frequencies of data. It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."

#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday. This is twice as many chapters.

She read more than 4 chapters on both Saturday and Sunday.

She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.

The total number of chapters she read on the weekend was 5+6 = 11. The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11. These are the same.

4 0

3 years ago

Read 2 more answers

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0

3 years ago

How do I solve this problem

Harman [31]

X = # of posters, y = total cost
y = 2x + 250
y = 1000

1000 = 2x + 250
1000 - 250 = 2x
750 = 2x
750/2 = x
375 = x....so 375 posters can be printed
==========================
y = total cost, x = # of miles

y = 3x + 3
y = 117

117 = 3x + 3
117 - 3 = 3x
114 = 3x
114/3 = x
38 = x.....so the car was towed 38 miles

8 0

2 years ago