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3 years ago

A square has an area of 150 square centimeters. Which of the

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Answer:

C) 12.2 cm

Step-by-step explanation:

To find the area of a square, you multiply length and width, which for a square, are the same. So to find the length of one of its sides, you have to take the square root of the area.

$L^{2} = 150\\\\L=\sqrt{150} \\L= 12.2\\$

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Find the value of each variable in the parallelogram?

Ymorist [56]

Answer:

Step-by-step explanation:

In parallelogram opposite angles are equal

6x = 66 {Divide both sides by 6}

x = 66/6

x = 11

20y - 46 = 13y + 10 {Add 46 to both sides}

20y - 46 + 46 = 13y + 10 + 46

20y = 13y + 56 {Subtract 13y from both sides}

20y - 13y = 13y-13y + 56

7y = 56 {Divide both sides by 7}

y = 56/7

y = 8

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3 years ago

Indicate the method you would use to prove the two 's . If no method applies, enter "none".

Andrei [34K]

Answer: ASA method must be applied to the given triangles to prove then congruent.

In two triangles, if two angles and their included side are congruent then the two triangles are said to be congruent .This method is known as Angle-Side -Angle postulate(ASA).
In the given triangles one side with their corresponding angles are equal. Therefore by ASA postulate they are congruent.
There we can see no other sides are given equal therefore all the other options cannot be applied.

you are lucky I had this test yesterday and I have the answer is ASA my math teacher said it was fine

6 0

3 years ago

Find the value of each trigonometric ratio. Simplify

AysviL [449]

Tan = opp/adj

Tan A = 16/12

7 0

2 years ago

Factor by Grouping.

Komok [63]

Answer:

The ac product of $35x^2+41x+12$ is 420.

The factors of the ac product that add to 41 are 20 and 21.

$35x^2+41x+12 =$ $(7x+4)(5x+3)$

Step-by-step explanation:

1) The general form of a quadratic is $ax^2 + bx + c$ . Hence, multiplying 35 by 12 gives you the product of ac, which is 420.

2) We need to find two numbers that multiply to 420 and add up to 41 simultaneously. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.

3) Write $41x$ as a sum.

$35x^2+20x+21x+12$

Now, we can factor them out by grouping.

$35x^2+20x+21x+12\\5x(7x+4)+3(7x+4)$

Since, $7x +4$ is common in both of the factors, we only take one of the $7x+4$ along with $5x$ and $3$ .

$(7x+4)(5x+3)$

6 0

2 years ago

Read 2 more answers

Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?

photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

$T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326$

What is the probability that they are both queens?

$P = \frac{D}{T} = \frac{6}{1326} = 0.0045$

0.45% probability that they are both queens.

4 0

3 years ago