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creativ13 [48]
2 years ago
12

In a right triangle, the side adjacent to angle has length 1.82 meters and the hypotenuse has length 6.53 meters. What is the co

sine of the angle?

Mathematics
1 answer:
CaHeK987 [17]2 years ago
8 0

Check the attachment please

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Help me plsssssssszzzzzzzzzzzzzzzzz
katen-ka-za [31]

Answer:

  750 < p < 1500

Step-by-step explanation:

The total cost of the affair for p attendees is ...

  750 +2.25p

The average cost is that number divided by p. The answer choices suggest that "between" means that the cost per person cannot be 2.75 or 3.25. Applying the limits to the average cost, we get ...

  2.75 < (750 +2.25p)/p < 3.25

  2.75 < 750/p + 2.25 < 3.25 . . . . . . . . separating the fraction parts

  0.50 < 750/p < 1.00 . . . . . . . . . . . . . . subtract 2.25

  2 > p/750 > 1 . . . . . . . . . . . . . . . . . . . . . take the reciprocal*

  1500 > p > 750 . . . . . . . . matches choice 4

_____

* Taking the reciprocals of numbers with the same sign reverses their order:

  2 < 3   but   1/2 > 1/3

__

An alternate approach to the solution would be to multiply by p:

  0.50p < 750 < 1.00p

To solve this requires it be made into two inequalities:

  0.50p < 750   ⇒   p < 1500

and

  750 < 1.00p   ⇒   750 < p

Then these would need to be recombined to form the answer:

  750 < p < 1500

8 0
2 years ago
Ceasar wants to save up his money to buy a house. He currently has $32,000 in his savings account and wants to have $275,000. Wh
fredd [130]

Answer:

75.9375%

Step-by-step explanation:

We apply the simple interest formula;

we first determine the amount of accrued interest to be earned;

interest = 275000 - 32000

             = 243000

Applying the simple interest formula;

I=\frac{P*R*T}{100}\\243000=\frac{32000*R*10}{100}\\ 243000=3200R\\R=75.9375

6 0
3 years ago
The sum of three numbers is 85. The second is 7 more than the first. The third is 2 more than four times the second. Find the nu
9966 [12]
Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
6x=48
x=8---first number
x+7=8+7=15 second number
4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85
4 0
3 years ago
Read 2 more answers
The graph shows how many calories are in different amounts of popcorn. Which of these statements is true?
wlad13 [49]

Answer:

50 calories per cup of popcorn

Step-by-step explanation:

just subtract 25

5 0
2 years ago
Read 2 more answers
Complete the square to the problem X^2+6x-16=0
marishachu [46]

Answer:

<h2>x = -8 or x = 2</h2>

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}

3 0
3 years ago
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