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Zigmanuir [339]
3 years ago
8

John took 3 exams so far this semester. He scored 45, 65 and 80 on those 3 exams . What score does he need on the fourth exam to

average 70 or more on his exams?
Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

He \: needs \: to \: score \: 90 \: or \: more

Step-by-step explanation:

\frac{x + 45 + 65 + 80}{4}  \geqslant 70\Leftrightarrow x + 190 \geqslant 280\Leftrightarrow x \geqslant 90

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Given sin z=4/5 and cos x=3/5. What is the ratio for tan z? Enter your answer in the boxes as a fraction in simplest form.
Minchanka [31]
The answer is:  "  \frac{4}{3} " .<span>
______________________________________________________
Explanation:
______________________________________________________
Note:  tan z = (sin z/ cos z) ;

           tan z = (4/5) / (3/5) ; 

                    = </span>\frac{4}{5} * \frac{5}{3} ; <span>
Note:  Both of the "5 ' s" cancel out to "1" ;  since:  "{5 ÷ 5 = 1 }" ;

And we rewrite as:

</span>→    " \frac{4}{1} * \frac{1}{3} "  ;

 =  \frac{(4*1)}{(1*3)} ;
<span>
 =  " </span>\frac{4}{3} " .
<span>_______________________________________________________
The answer is:  " </span> \frac{4}{3} " .
_______________________________________________________
8 0
4 years ago
Read 2 more answers
What is the area of the figure if x = 25 cm and y=20 cm?<br> Use 3.14 to approximate it.
Akimi4 [234]

The area of the circle is 6,358.5cm²

<h3>Area of the circle</h3>

The formula for calculating the area of a circle is expressed as;

  • A = πr²

r is the radius = x + y

r = 25 + 20 = 45cm

Substitute the given parameters into the formula to have:

A = 3.14(45)²

A = 6,358.5cm²

Hence the area of the circle is 6,358.5cm²

Learn more on area of a circle here; brainly.com/question/10645610

4 0
2 years ago
Garrett wants to make a circular pond in his yard and put a low fence around the edge. What is the largest area pond Garrett can
Black_prince [1.1K]

Answer:

The answer is C. 1472.61 square feet

Step-by-step explanation:

If you are familiar with Pi (π) you can do a lot of fun stuff with math.

Let's review some values:

A = Area, C = circumference, r = radius, π = 3.14159 (commonly rounded off to 3.14).

You might already know that the area of a circle can be calculated with the formula A = π r2  (pi r squared).

However, we do not know the radius in this instance so this formula isn't going to work for us.

Let's try a different way.

We do know the circumference. The circumference is simply the length of the fencing, 136 feet.

So we'll use this formula:

A = C2 / 4π

C2 is 136 x 136, or 18,496. Don't be scared off by this huge number; we're going to whittle it down.

4π = 12.56

18,496/12.56 (or 18,496 divided by 12.56) = 1472.61

Wasn't that fun?

3 0
3 years ago
Read 2 more answers
Please help me quick ASAP
ddd [48]
I believe the answerer is C
8 0
3 years ago
Read 2 more answers
X - 3y = 4<br> 2x - 5y = 8 <br> solve by substitution
Shkiper50 [21]

Answer:

y = 0

x = 4

Explanation:

  • x - 3y = 4
  • 2x - 5y = 8

<u>make x the subject,</u>

x - 3y = 4

x = 4 + 3y __ equation 1

2x - 5y = 8

x = (8+5y)/2 __ equation 2

<u>using substitution method:</u>

(8+5y)/2 = 4 + 3y

8 + 5y = 8 + 6y

6y - 5y = 8 - 8

y = 0

Find x,

x = 4 + 3y

x = 4 + 3(0)

x = 4

7 0
3 years ago
Read 2 more answers
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