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bogdanovich [222]
2 years ago
11

use the order of operations to simplify this expression. exspress your answer in the simplest form. 1/4 + 1/2 ÷ 2/8​

Mathematics
1 answer:
elixir [45]2 years ago
7 0

Answer:

9/4

Step-by-step explanation:

This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4

you get a answer of

9/4 in fraction form

2.25 in decimal form

2 1/4 in mixed fraction form

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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
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What is the sum of (x - 8) - (2x + 2)
Dahasolnce [82]

Answer:

the answer is 4

7 0
2 years ago
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Question 5 of 10
Marysya12 [62]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Find the percentage of vacationers from<br> question 10 who spent between $1500<br> and $2000.
mars1129 [50]

Answer:

The percentage change of vacationers is 33.3 %

Step-by-step explanation:

Given as :

The old value of the vacationers = $ 1500

The new value of the vacationers = $ 2000

Let the percentage variation = x %

Or, x % increase = \dfrac{\tyextrm new value - \textrm old value}{\textrm old value} × 100

Or,  x % increase = \dfrac{\tyextrm $ 2000 - \textrm $ 1500}{\textrm $ 1500} × 100

Or, x % increase = \frac{500}{1500} × 100

Or, x % increase = \frac{1}{3} × 100

Or, x % increase = \frac{100}{3}

∴  x  = 33.3 %

So, The percentage increase change is 33.3 %

Hence The percentage change of vacationers is 33.3 %   Answer

3 0
3 years ago
Myra is playing a board game. After 12 turns, Myra has landed on a blue space 3 times.
maks197457 [2]

In 12 turns, she lands in a blue space 3 times.

12/3 =4

In 100 turns, it is expected that Myra would land on a blue space '100/4' times

100/4= 25

Which sums up to 25 turns

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2 years ago
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