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1 year ago

Simplify the fraction

Mathematics

1 answer:

oksano4ka [1.4K]1 year ago

8 0

Answer:

3/10

Hope this helps!

Have a good day :)

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If (x + y)^2 = 105 and x^2 + y^2 = 65, what is the value of xy?

lesya692 [45]

$\boxed { \boxed {(a + b)^2 = a^2 + 2ab + b^2}}$

$(x + y) ^2 = 105$

$x^2 + 2xy + y^2 = 105$

$x^2 + y^2 + 2xy = 105$

$\text{Given that } x^2 + y^2 = 65,$

$65 + 2xy = 105$

$2xy = 105 - 65$

$2xy = 40$

$xy = 20$

$\boxed { \boxed {\text{Answer: xy = 20}}}$

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3 years ago

A City's population rose 3% one year, 0.08 the next year, and by 2/50 the next year. Order these increases from least to greates

Mariulka [41]

3%, 2/50, 0.08 is ur answer!!

4 0

2 years ago

Read 2 more answers

How can I learn to understand it more

Phantasy [73]

Step-by-step explanation:

Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.

5 0

3 years ago

4(1 - x) + 3x = - 2(x + 1)

liubo4ka [24]

Answer:

X=-6

Step-by-step explanation:

4(1−x)+3x=−2(x+1)

(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)

4+−4x+3x=−2x+−2

(−4x+3x)+(4)=−2x−2(Combine Like Terms)

−x+4=−2x−2

Step 2: Add 2x to both sides.

−x+4+2x=−2x−2+2x

x+4=−2

Step 3: Subtract 4 from both sides.

x+4−4=−2−4

x=−6

Answer:

x=−6

4 0

2 years ago

Read 2 more answers

1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in

olga_2 [115]

Given:

It is given that the ridge is 360 inches tall.

Assumptions:

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is $360+67 = 427$ inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

To find the distance from you to your dog.

Solution:

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

$cos \theta = \frac{adjacent side}{hypotenuse} .$

$cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.$

$x=\frac{427}{0.5} = 854.$

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

3 0

3 years ago