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Ede4ka [16]
3 years ago
11

Can you help me sort these out please

Mathematics
1 answer:
wolverine [178]3 years ago
5 0
A 75% increase followed by 33.33%  goes under less than the original
A 30$ increase followed by a 30$ decrease goes under same as the original
A 55% decrease followed by 25% increase goes under greater than the original
100% increase followed by a 50% decrease goes under less than the original
20% decrease followed by a 40% increase goes under greater than the original
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Solve the equation for principal values of x. Express solutions in degrees.
Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

\sin x=1+\cos ^{2} x

<u>To find the degree:</u>

\sin x=1+\cos ^{2} x

Subtract 1 + cos²x from both sides.

\sin x-1-\cos ^{2} x=0

Using the trigonometric identity:\cos ^{2}(x)=1-\sin ^{2}(x)

\sin x-1-\left(1-\sin ^{2}x\right)=0

\sin x-1-1+\sin ^{2}x=0

\sin x-2+\sin ^{2}x=0

\sin ^{2}x+\sin x-2=0

Let sin x = u

u^2+u-2=0

Factor the quadratic equation.

(u+2)(u-1)=0

u + 2 = 0,  u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0
3 years ago
Read 2 more answers
(1+13)2−29=? <br> ive never been good with fractions and dont understand this
GaryK [48]

Answer:

-1

Step-by-step explanation:

1+13=14

(14)2=28

28-29=-1

8 0
3 years ago
Read 2 more answers
Jan needed to empty 18 gallons of water from a tub into jugs that hold 0.5 gallons of water. How many jugs did Jan need?
Ilia_Sergeevich [38]
So you would do,
18 gallons of water divided by 0.5 gallons of water 
if you did that correctly you should have gotten... 36 jugs
8 0
3 years ago
PLease help if u can✊​
Vaselesa [24]

Answer:

5 hours

Step-by-step explanation:

75 + 55x = 350

75 - 75 + 55x = 350 - 75

55x = 275

\frac{55x}{55} = \frac{275}{55}

x = 5

4 0
3 years ago
How could you correctly rewrite the equation 6(11 – 3) = 4(7 455) using the distributive property?
Sergeeva-Olga [200]

Answer:

B. 66-18=28+20

Step-by-step explanation:

4 0
3 years ago
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