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GarryVolchara [31]
3 years ago
13

Find the values of acts and why. Dragon drop the correct values in the box is below:

Mathematics
1 answer:
Vinvika [58]3 years ago
8 0

Answer:

This is a 30° x 60° x 90° triangle.

<u>The ratio of sides in same triangle:</u>

  • x : y : 10 = 1 : √3 : 2

<u>Find x:</u>

  • x = 10/2 = 5

<u>Find y:</u>

  • y = x√3 = 5√3
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4a/3-b/4=6<br> 5a/6+b=13<br> Solve linear system by elimination
kondor19780726 [428]
\bf \cfrac{4a}{3}-\cfrac{b}{4}=6&#10;\qquad \qquad &#10;\cfrac{5a}{6}+b=13&#10;\\\\\\&#10;\textit{let us remove the denominators off those folks}\\&#10;\textit{by multiplying the first one by 12, both sides}\\&#10;\textit{and the second one by 6, both sides, thus}&#10;\\\\\\&#10;12\left( \cfrac{4a}{3}-\cfrac{b}{4} \right)=12(6)\implies 16a-4b=72&#10;\\\\\\&#10;6\left( \cfrac{5a}{6}+b \right)=6(13)\implies 5a+6b=78

\bf  \textit{now, let's do the elimination}&#10;\\\\&#10;&#10;\begin{array}{llll}&#10;16a-4b=72&\boxed{\times 3}\implies &48a-\underline{12b}=216\\\\&#10;5a+6b=78&\boxed{\times 2}\implies &10a+\underline{12b}=156\\&#10;&&--------\\&#10;&&58a+0\quad=372&#10;\end{array}

solve for "a", once you get "a", plug it back into either equation to get "b"
3 0
3 years ago
A machine drops 74 milliliters of liquid into a beaker every minute. Using an empty beaker, Sarah started the machine and left t
Zina [86]

Answer:

Division, you can divide the total amount of total milliliters buy the number of milliliters dropped every minute. 1850/74= 25. So m= 25. Sarah left the room for 25 minutes

Step-by-step explanation:

pls mark me brainliest

8 0
3 years ago
QUESTION ON THE PICTURE
Helen [10]
Answer: 1 1/2
Explanation: the first number of the division problem stays the same but you flip the second fraction witch is 1/2 then that will be 2/1 then change the division symbol into a multiplication symbol and 3/4 times 2/1 and that equals6/4 and 6/4 is divisible by two so you divide 6/4 x 2. That equals 3/2 and you had to make that a mixed number so you divide two and 33 on the inside of the house and two on the outside. Two goes into threewants and when is your whole number and your remainder is one and one is your numerator and two is your denominator. You might understand it better if you see my work which a photo of it is down below.

3 0
3 years ago
If a is three times b, b is twice c, and c is four times d, what is the value of a*c/b*d
dsp73

Answer:

12

Step-by-step explanation:

a=3b

b=2c

c=4d

a*c/b*d = (3(2(4d)))*(4d)/(2(4d))*d

            = 96d^2/8d^2

            = 12

7 0
3 years ago
Amy opened a savings account with $1750 she received for graduation. The account pays 4.3% simple interest. What is the balance
Cerrena [4.2K]

Given:

  • The principal amount that Amy opened her savings account with is $1750.
  • The rate of simple interest compounded annually is 4.3%.
  • The time period for which we calculate the new balance is 6 months.

To Find:

The balance after 6 months.

Answer:

The balance after 6 months will be $1787.625

Step-by-step explanation:

The principal amount that Amy opened her savings account with is $1750. We can denote this by P.

The rate of simple interest compounded annually is 4.3% which we may denote by R.

The time period for which we calculate the new balance is 6 months which can be written as 0.5 years (since the rate of interest is compounded annually, we must consider the time period in terms of years).

The amount of money accrued from the interest can be calculated by the formula

\frac{PRT}{100}

Putting in the values given in the question, we have

\frac{(1750)(4.3)(0.5)}{100} = 37.625

The amount in the bank account will be the principal amount plus the amount of interest accrued that we have calculated above.

Thus, the balance after 6 months will be 1750 + 37.625 = $1787.625.


4 0
3 years ago
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