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kap26 [50]
3 years ago
12

What is the result when the number 28 is increased by 9%​

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

Answer: The answer should be 25.48

Step-by-step explanation: You are multiplying .9 to 28. (28 x .9)

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Solve 2cos(x)-4sin(x)=3 [0,360]
Korvikt [17]
2cos(x) - 4sin(x) = 3

use identity  [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]

2√[1 - (sin(x))^2] - 4 sin(x) = 3

2√[1 - (sin(x))^2] = 3 + 4 sin(x)

square both sides

4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2

expand, reagrup and add like terms

4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)

20[sin(x)]^2 + 24sin(x) +5 = 0

use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834

Now use the inverse functions to find x:

arcsin(-0.93166) = 76.33 degrees

arcsin(-0.26834) = 17.30 degrees






3 0
3 years ago
For the parallelogram, fond the value of the variables. Show your work.
lisabon 2012 [21]

For this case, the first thing you should know is that the opposite sides of the parallelogram are the same.

Therefore, we have the following equations:

3y-6 = 21\\5x + 2 = 17

From equation 1 we have:

3y = 21 + 6\\3y = 27

y = \frac{27}{3}\\y = 9

From equation 2 we have:

5x = 17 - 2\\5x = 15

x = \frac{15}{5}\\x = 3

Answer:

the value of the variables are:

y = 9\\x = 3

3 0
3 years ago
Read 2 more answers
AD is a diameter of a circle and AB is a chord. If AD=34cm, AB=30cm, the distance of AB from the centre of the circle is :
e-lub [12.9K]

Answer:

   The distance is 8 cm

Step-by-step explanation:

The chord and the diameter form one leg and the hypotenuse of a right triangle. The other leg, BD, has length ...

  BD² +AB² = AD²

  BD² = AD² -AB² = 34² -30² = 256

  BD = √256 = 16

The segment from the center of the circle to the midpoint of the chord is the midline of triangle ABD, so is half the length of BD.

  distance from AB to the center = 16/2 = 8 . . . cm

7 0
3 years ago
PLZZZZZZZZZZ HELP ME WITH THIS
Pavlova-9 [17]

Answer:

First answer:

-16y=-19x+12

16y=19x-12

y=19/16x-3/4

Second answer:

8y=-15x-9

y=-15/8x-9/8

7 0
2 years ago
What's 1 and 2/3 times 1 and 1/3?
kari74 [83]
<span>1 and 2/3 time 1 and 1/3 is 2.22222222222 which rounds to 2.</span>
6 0
2 years ago
Read 2 more answers
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