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butalik [34]
3 years ago
8

14 is what percent of 56

Mathematics
1 answer:
Sergio [31]3 years ago
6 0
The answer to this is 25%.

Divide 14 to 56. 14/56 x 100/100 = 25/100= 25%
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Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
natima [27]

 

\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0

.

\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}

 

 

5 0
3 years ago
Find the minimum or maximum value of the function g(x)= -(x-2)^2-3
Nady [450]
Neato

assuming you mean
g(x)=-1(x-2)^2-3
remember
in form
f(x)=a(x-h)^2+k
a is leading coficient
(h,k) is vertex
k will be the minimum or max value of the function
if a is positive, then the parabola opens up and k is minimum
if a is negative, then the parabola opens down and k is max

given
g(x)=-1(x-2)^2-3
a is negative
the parabola opens down and k is the max value
it is -3
the max value is -3, which occors at x=2
g(2)=-3 is max
3 0
3 years ago
Given the following information, determine which lines are parallel and what justifies them being parallel.
weeeeeb [17]

Answers:

Blank 1 = p and r

Blank 2 = corresponding angles converse

==========================================================

Explanation:

Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.

If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse

4 0
2 years ago
A high school basketball team has a budget specifically for towels and extra basketballs. A towel costs $6 and a basketball cost
Soloha48 [4]

Answer:

5

Step-by-step explanation:

Towels are $6.

25x6= $150

The budget is $300.

$300-$150=$150 left over.

How many basketballs can you buy if they cost $30 per basketball.

$150/30 = 5

You can buy 5 basketballs with 0 dollars remaining.

7 0
3 years ago
Find the slop of each line/ coordinates
Goshia [24]

Answer:

1. -3/4

2. 1

3. 0

4. 1/2

5. undefined

6. -22/15

Step-by-step explanation:

Hope this helped!

4 0
3 years ago
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