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9966 [12]
3 years ago
7

What is the value of -2 1/6 - 1 1/4 + 1 3/4

Mathematics
1 answer:
madam [21]3 years ago
4 0
-1.66666666667 u could just use a calculator lol
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Find the exact value of cos 157.5°.
Nonamiya [84]
Cos 157.5º=-cos (180º-157.5º)=-cos 22.5=-cos(45/2)

cos Ф/2=⁺₋√((1+cosФ)/2).

In this case 157.5º is in the second quadrant, therefore we use the following equation:
cos Ф/2=-√((1+cosФ)/2).          (we will have a negative number)

cos 157.5º=-cos (45/2)=-√((1+cos 45º)/2)
=-√((1+√2/2)/2)
=-√((2+√2)/4)
=-√(2+√2) / 2   (≈-0.92387...)

Answer: cos 157.5º= -√(2+√2) / 2

3 0
3 years ago
I don't understand how to do this, can someone please help me?
denis23 [38]

Answer:

x=1

Step-by-step explanation:

First find a common denominator between 7 and 4 which is 28, Multiply both equations by 28 eliminating the denominators so now you have theses two equations: 4(2x + 12) = 7(3x + 5) distribute these equations to get:

8x + 48 = 21x +35 now you want to get the x's on one side so 8-21 = -13 which as an equation so far would be -13x + 48 = 35 now do 35-48 = -13 so you can have 13x alone on one side. Your final equation now before you solve is

-13x = -13 the divide -13 by -13 to get 1.

Hope this helps you understand it better

4 0
3 years ago
Pablo bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 more than the desktop. He pa
olga55 [171]
A = price of the desktop

b = price of the laptop

now, we know the laptop was more expensive than the desktop by 250 bucks, thus b = a + 250.

for "a", he paid 8.5% in interest, for "b", he paid 5% in interest.

how much is 8.5% of a?  well (8.5/100) * a, or 0.085a.

how much is 5% of b?  well, (5/100) * b, or 0.05b.

now, we know the total charges for financing were $296, that means the interest paid in total was 296, thus whatever "a" or "b" are, we know that  0.085a + 0.05b = 296.

\bf \begin{cases}
\boxed{b}=a+250\\
0.085a+0.05b=296\\
----------\\
0.085a+0.05\left( \boxed{a+250} \right)=296
\end{cases}
\\\\\\
0.085a+0.05a+12.5=296\implies 0.135a=283.5
\\\\\\
a=\cfrac{283.5}{0.135}\implies a=2100

how much did the laptop cost?  well, b = a + 250.
7 0
3 years ago
Allie hits the ball 45% of the time
solong [7]

Answer:36 times hope it helps

Step-by-step explanation:

7 0
3 years ago
You deposit $2200 into three separate bank accounts that each pay 3% annual interest. How much interest does each account earn a
Keith_Richards [23]
This can be solve using the formula:
F = P ( 1 + i)^n
where F is the money after n years
P is the initial amount of money
i is the annual interest rate
n is the time in years
since you deposit in 3 accounts P = 2200/3
F = ( 2200 / 3) ( 1 + 0.03)^6
F = $ 875.64 is the money each account earned after 6 years
7 0
3 years ago
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