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3 years ago

Find the measure of 41. s 839 41 41 = [?]

Mathematics

1 answer:

Mila [183]3 years ago

5 0

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

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X2+8x=-1 complete the square

Sophie [7]

(X+4)^2-15

This is the answer

6 0

3 years ago

Given: ABCD is a trapezoid, AB = CD, BK ⊥ AD, AK = 10, KD = 20 Find: BC AD

alexdok [17]

Answer:

 BC = 10 and AD = 30

Step-by-step explanation:

In figure-1 , AB = CD ,BK ⊥ AD, AK = 10, KD = 20.

Since, line AD is sum of AK and KD, then

AD = AK + KD

AD = 10 + 20

AD = 30

Since, BC ║AD and BK ⊥ AD then similarly we construct CL ⊥ AD

so, BC = KL and AK = LD

KL = AD - LD

KL = 20 - 10

KL = 10

Since, BC = KL then BC = 10

Hence,  BC = 10 and AD = 30

4 0

3 years ago

The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their volumes.

Juliette [100K]

The ratio of the radii is 2:1, so the ratio of their surface areas is 4:1. The area of a sphere is defined by 4 * pi * r^2 

So if the radius of the first sphere is 2r, then it would be (2r)^2 = 4r^2 

The rest is the same. So the ratio of their surface areas would be 

4 * pi * 4r^2 divided by 
4 * pi * r^2 

or 4.

7 0

3 years ago

Sarah is rolling a number cube, numbered 1-6, and recording the number that shows up on each roll.

Fiesta28 [93]

Answer:

Step-by-step explanation:

Definition: Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.

Event A = getting a 4 on the first roll.

Event B = getting a 4 on the second roll.

True option C: A and B are independent events, because the probability of the first roll will not affect the probability of the second roll.

3 0

3 years ago

What is the simplified form of (4j2+6)+(2j2-3)

Galina-37 [17]

Answer: $6j^2+3$

Step-by-step explanation:

In order to solve this exercise it is important to remember the multiplication of signs. Notice that:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

In this case you have the following expression given in the exercise:

$(4j^2+6)+(2j^2-3)$

Where the variable is "j".

When you multiply signs, you get:

$=4j^2+6+2j^2-3$

Now you need to identify that like terms and then you need to add them (or combine them). So, applying this procedure you get that the simplified form of the expression is the shown below:

$=6j^2+3$

As you can observe, you get a 2nd degree binomial.

5 0

3 years ago