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3 years ago

Solve 600=6t show your work

Mathematics

2 answers:

lana66690 [7]3 years ago

6 0

Hello There!

600 ≈ 6t

We can divide 6t by 6 and we get 1 and we can divide 600 by 6 and we get 100. We can now prove that 600 ≈ 6 multiplied by 100

Luba_88 [7]3 years ago

5 0

600=6t

600/6=6t/6

600/6=t

100=t

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Please help me solve this exercise.!!

Volgvan

<h3>Answer: -4/3</h3>

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Explanation:

Let's square both sides and do a bit of algebra to get the following.

$\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\$

Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25

This then means tan(2x) = sin(2x)/cos(2x) = 24/7.

From here, you'll use this trig identity

$\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\$

which is the same as solving

$\tan(2x) = \frac{2w}{1-w^2}\\\\$

where w = tan(x)

Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4

So either tan(x) = -4/3 or tan(x) = 3/4.

If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.

Since tan(x) < 0 in this case, we go for tan(x) = -4/3

8 0

3 years ago

Question on Picture Please Help meeeeeeeeee

Blizzard [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

A rectangular patio has a length of 12 1\2 feet and an area of 103 1\8 square feet. What is the width of the patio?

Whitepunk [10]

Answer:

8.25 feet

Step-by-step explanation:

to find the width, you divide the area by the length

103 1/8 / 12 1/2 = 8.25

Give brainliest, please!
Hope this helps :)

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2 years ago

A recipe for bran muffins calls for 2 1/2 cups of bran flakes. The recipe yields 9 muffins. How much bran flakes should be used

kolbaska11 [484]

10/3 bran flakes can make a dozen muffins

A recipe requires 2 1/2 cups of bran flakes

The recipe can make 9 muffins

Let's calculate the amount of bran flakes it will take to make 1 muffin

5/2 = 9

x= 1

cross multiply

9x= 5/2

x= 5/18

A dozen is 12, the number of bran flakes to make a dozen can be calculated as follows

5/18= 1

y= 12

cross multiply

y= 5/18 × 12

y= 10/3

Hence it will take 10/3 to make a dozen muffins

#SPJ1

4 0

1 year ago

Stacey wishes to make a hamburger which is lower in fat without having to give up the great taste. She purchases 5 pounds of gro

STALIN [3.7K]

Answer:

%P = 8%

the percentage of fat in the mixture is 8%

Step-by-step explanation:

Given;

The percentage of fat in the mixture is;

%P = total mass of fat in mixture/total mass of mixture × 100%

%P = F/T × 100% ….....1

Mass of fat in mixture is;

She purchases 5 pounds of ground beef which is 15% fat

F1 = 15% of 5 pounds = 0.15×5 pounds

F1 = 0.75 pound

and combines it with 7 pounds of ground turkey which is only 3% fat

F2 = 3% of 7 pounds = 0.03 × 7

F2 = 0.21 pound

Total mass F = F1 + F2

F = 0.75+0.21

F = 0.96 pound

Total mass of mixture T = 5 + 7 pounds

T = 12 pounds.

From equation 1,

%P = F/T × 100%

%P = 0.96/12 × 100%

%P = 0.08×100%

%P = 8%

the percentage of fat in the mixture is 8%

5 0

4 years ago