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N76 [4]
3 years ago
13

35 POINTS What is the length of the third side of the window frame below? (Figure is not drawn to scale.)

Mathematics
2 answers:
elena-s [515]3 years ago
7 0
75 inches is the answer.
Marat540 [252]3 years ago
4 0
Hello!

You can use this by using the Pythagorean theorem

a^{2} +  b^{2} = c^{2}

c is the hypotenuse which is the angle opposite the right angle

a and b are the other two sides

you put the values in that you know

72^{2} +  b^{2}  = 78^{2}

square the numbers

5184 + b^{2} = 6084

Subtract 5184 from both sides

b^{2} = 900

Take the square root of 900

square root of 900 = 30

The answer is 30

Hope this helps!
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What is the first step needed to solve 3/4 times -3 equals -18
Andreyy89

Answer:

Make -3 a fraction

Step-by-step explanation:

3/4 x -3

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2 years ago
Find the sum of the following series
vazorg [7]

Answer:

a) 820

b)450

c)  -540

d) -294

e) 1440

f) 1425

Step-by-step explanation:

a) it is an arithmetic progression with ratio=4

   a1=3,

     a2=3+r=3+4=7.....

    a20=a1+19r

so a20=3+19*4=3+76=79

S=(a1+an)*n/2 where n=20

so S=(3+79)*20/2=820

b) a15=a1+14*r=2+14*4=2+56=58

S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450

It is the same formula for all  the exercises

S=(a1+an)*n/2 ,     where n is the number of terms

c) a40=30+39*(-3)=30-87=-57

So S=(30-57)*40/2=-540

d) a14=5+13*(-4)=5-52=-47

S=(5-47)*14/2=-42*14/2=-42*7=-294

e) it is 5+7+9+......+75

nr of  terms  = (an-a1) :r+1=(75-5):2+1=36

S=(5+75)*36/2=36*40=1440

f) ratio=7-4=3

the  same formula for n= (91-4):3+1=87:3+1=29+1=30

S=(4+91)*30/2=95*30/2=2850/2=1425

8 0
3 years ago
How do you convert from Celsius to Fahrenheit temperatures?
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Answer:

c

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In ten throws theo makes 4 baskets how many baskets will he make in 24 throws​
Tomtit [17]

4/10 = 40% of throws made

40% of 24 = 9.6 which rounds up to 10

3 0
3 years ago
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