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3 years ago

You mow 1/3 of the lawn. Your sister mows 2/7 of the lawn. What fraction of the lawn is mowed?

Mathematics

2 answers:

Sedaia [141]3 years ago

5 0

Answer:

13/21 of the lawn is mown.

Step-by-step explanation:

First, convert 1/3 to 7/21 by multiplying both the numerator and the denominator by 7. Then, convert 2/7 to 6/21 by multiplying both the numerator and the denominator by 3. Last, add 7/21 to 6/21 to get an answer of 13/21.

Serjik [45]3 years ago

3 0

6/21 + 7/21 = 13/21 of the lawn was mowed?

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If a triangle has side lengths 7, 10, and 12, is it a right triangle??

Vesnalui [34]

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, $a^2 + b^2 = c^2$

where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, $7^2 + b^2 = 12^2$ or $10^2 + b^2 = 12^2$

$7^2 + b^2 = 12^2$ ==> 49 + b^2 = 144 ==> b= $\sqrt{95$ ==> 9.746

b= 9.7, not 10.

$10^2 + b^2 = 12^2$ ==> 100 + b^2 = 144 ==> b = $\sqrt{44$ ==> 6.633 

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

5 0

3 years ago

2a ³+10=26 Show the work on how you got it

Usimov [2.4K]

Answer:

a=2

Step-by-step explanation:

subtract 10 from both sides

2a^3=26-10

simplify

2a^3=16

Divivde both side by 2

a^2=16/2

simplify

a^3=8

4 0

3 years ago

Find cot theta if csc theta = sqrt17/4 and tan theta >0.

Lorico [155]

Answer:

$tan \theta = 4$

Step-by-step explanation:

We know that

$cosec \theta = \frac{hypotenuse }{opposite }$

Given :

$cosec \theta =\frac{\sqrt{17}}{4}\\$

So 4 is the opposite side of theta.

$tan \theta = \frac{opposite}{adjacent}$

We use the Pythagorean theorem to find for the adjacent side.

$a = \sqrt{17 - 4^2} = \sqrt{17-16} = 1$

$Therefore, \ tan \theta = \frac{4}{1} = 4$

7 0

3 years ago

. A rectangular fish pond is 21 ft2 in area. If the owner can surround the pond with a 20-foot fence, what are the dimensions of

prisoha [69]

Answer:

It's 3 x 7 pond or a 7 x 3 pond

Step-by-step explanation:

Let the rectangular pond have dimensions l x b.

ATQ, l*b=21 and 2(l+b)=20. Solving it, we get l=3 or 7 and b=7 or 3.

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3 years ago

What is the measure of angle B!!!!!

emmainna [20.7K]

Answer:

b. 70

Step-by-step explanation:

because.......

180 is to much

20 is too much

75 is a little bit more.

Sooo if 70 does not work then go for 75.

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2 years ago