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Mars2501 [29]
3 years ago
10

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)!}

So then 12 C5 would be equal to:

12C5 = \frac{12!}{5! (12-5)!}=\frac{12!}{5! 7!} = \frac{12*11*10*9*8*7!}{5! 7!}= \frac{12*11*10*9*8}{5*4*3*2*1}=792

So we have 792 was in order to select 5 diamonds from the total of 12

Now in order to select 3 clubs from the total of 12 we have the following number of ways:

12C3 = \frac{12!}{3! 9!}=\frac{12*11*10*9!}{3! 9!} =\frac{12*11*10}{3*2*1}=220

So then the numbers of ways in order to select 5 diamonds and 3 clubs are:

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

3 0
3 years ago
6= a/4 +2<br><br>two step equations ​
Marianna [84]

Answer: A=16

Step-by-step explanation:

24=a+8

-a=8-24

-a=-16

4 0
3 years ago
Read 2 more answers
Find the simple interest earned in an account with $300 at 5% annual interest for 7 years.
Fiesta28 [93]

Option A

The simple interest earned is $ 105

<em><u>Solution:</u></em>

Given that, $300 at 5% annual interest for 7 years

Therefore,

Principal = $ 300

Rate of interest = 5 %

Number of years = 7

<em><u>The simple interest is given by formula:</u></em>

Simple\ Interest = \frac{p \times n \times r }{100}

Where,

p is the principal

r is the rate of interest

n is the number of years

<em><u>Substituting the values in formula,</u></em>

Simple\ Interest = \frac{300 \times 7 \times 5 }{100}\\\\Simple\ Interest = 3 \times 7 \times 5\\\\Simple\ Interest = 105

Thus simple interest earned is $ 105

8 0
3 years ago
Please answer! Give explanation too if possibly just to help me understand. Thank you!
boyakko [2]

Answer:

i highly believe it is c

Step-by-step explanation:

i multiplied them

7 0
3 years ago
Read 2 more answers
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