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Lubov Fominskaja [6]
3 years ago
5

What is the result when the number 21 is increased by 3%?​

Mathematics
1 answer:
lesya [120]3 years ago
6 0

Answer:

0.63

Step-by-step explanation:

21 increased by 3% = 21.63

Absolute change (actual difference):

21.63 - 21 = 0.63

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Find the area of the triangle defined by the coordinates (7,1). (0, 10), and (9,4). (To the nearest tenth)
elena-14-01-66 [18.8K]

Answer:

19.5

Step-by-step explanation:

The area of a triangle given 3 coordinates can be solved using the formula:

Area=|\frac{A_x(B_y-C_y)+B_x(C_y-A_y)+C_x(A_y-B_y)}{2}|

Where

A_x is x coordinate of first point (here 7)

A_y is y coordinate of first point (here 1)

B_x is x coordinate of 2nd point (here 0)

B_y is y coordinate of 2nd point (here 10)

C_x is x coordinate of 3rd point (here 9)

C_y is y coordinate of 3rd point (here 4)

Plugging these into the formula, we get out answer:

Area=|\frac{A_x(B_y-C_y)+B_x(C_y-A_y)+C_x(A_y-B_y)}{2}|\\Area=|\frac{7(10-4)+0(4-1)+9(1-10)}{2}|\\Area = |\frac{7(6)+0+9(-9)}{2}|\\Area=|-19.5|\\Area = 19.5

Hence, the area is 19.5

3 0
3 years ago
When 36 is subtracted from the square of a number , the result is 5 times the number
kogti [31]

Answer:

Step-by-step explanation:

x^2- 36 =5x\\x^2- 36 - 5x =0\\x = 9

Check:

9^2 - 36 = 5(9)

81 - 36 = 45

45 = 45

Therefore, our answer, 9 is correct.

Hope that helps!

4 0
3 years ago
Translate this phrase into an algebraic expression.
labwork [276]

Answer: 2y - 49

Step-by-step explanation:

4 0
3 years ago
F(x)=-(2) * + 4<br> What is the range of this function
Valentin [98]

Answer: f(x) = 2

Step-by-step explanation:

I think this is the answer I hope it helps u

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Express in the form <br> 1<br> :<br> n<br> .<br> Give <br> n<br> as a decimal.<br> 4<br> :<br> 6
jarptica [38.1K]

Answer:

n = 1.5

Step-by-step explanation:

Given ratio of 1 : n is equivalent to the ratio 4 : 6.

We can rewrite these equivalent ratio as,

\frac{1}{n}=\frac{4}{6}

Now we have to solve this expression for the value of n.

\frac{1}{n}=\frac{2\times 2}{2\times 3}

\frac{1}{n}= \frac{2}{3}

n = \frac{3}{2}

n = 1.5

Therefore, n = 1.5 will be the answer.

3 0
3 years ago
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