I’m confused on this one

Mathematics

2 answers:

lions [1.4K]3 years ago

5 0

Remark: What might be confusing you is the the given expression must add up to 90o. You know this because <B = 90 so the other two angles must be 90o.

Equation

5x - 10 + 6x - 21 = 90 Combine like terms on the left

11x - 31 = 90 Add 31 to both sides.

11x - 31 + 31 = 90 + 31

11x = 121 Divide by 11

x = 121/11 = 11.

Find the value of 6x - 21

6*11 - 21 = 66 - 21= 45

Comment

The central angle for arc AB (which is double ADB = 2*45 =90) is 90. So arc AB = 90

Sauron [17]3 years ago

4 0

5x-10 is your answer

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You have an account that starts at $2500 with an interest rate of 3.25% compound yearly. How much is in the account after 10 yea

SSSSS [86.1K]

Answer:3,312.50

Step-by-step explanation:1. We assume, that the number 2500 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 2500 is 100%, so we can write it down as 2500=100%.

4. We know, that x is 3.25% of the output value, so we can write it down as x=3.25%.

5. Now we have two simple equations:

1) 2500=100%

2) x=3.25%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

2500/x=100%/3.25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

8 0

2 years ago

If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds a

Luba_88 [7]

Answer:

$12C5 *(12C3) = 792*220 =174240 ways$

Step-by-step explanation:

For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52

First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:

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