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Svetlanka [38]
3 years ago
5

Find the area of a triangle with the vertices a(0,2), b(8,2), and C(4-3)

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
4 0
Height of the triangle with AB as base = 2 – (–3) => 5 

<span>Area = (1/2) * base * height => (1/2) * 8 * 5 ==> 20 sq. units. </span>
Dimas [21]3 years ago
3 0
First, consider (0,2) and (8,2).  The y-value is the same for both points.  x ranges from 0 to 8, so the length of this horizontal side of the triangle is (8-0), or 8.

Again, this horiz. side has a y-value of 2.
The third point is (4,-3).  Therefore the vertical distance from the horizontal line to the third point is 2 - (-3), or 5.

Thus, the "base" of the triangle is 8 and the "height" is 5.

The area is  A = (bh)/2.  Substitute the values 8 and 5.  Simplify your result.  Answer:  20 square units.
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A chemist needs 130 milliliters of a 47% solution but has only 35% and 87% solutions available. Find how many milliliters of eac
choli [55]

Answer: Amount of 35% solution required = 100 milliliters

Amount of 87% solution required  = 30 milliliters

Step-by-step explanation:

Given: Total solution required =  130 milliliters

Let x = Amount of 35% solution (in milliliters).

Then, Amount of 87% solution required = 130 - x

As per given,

Concentration = 0.35x +0.87(130-x)=0.47(130)

0.35x +113.1-0.87x=61.1\\\\\Rightarrow\ -0.87x+0.35x=61.1-113.1\\\\\Rightarrow\ -0.52 x= -52\\\\\Rightarrow\ x=\dfrac{52}{0.52}=100

Hence, Amount of 35% solution required = 100 milliliters

Amount of 87% solution required  = 130-100 milliliters =30 milliliters

3 0
2 years ago
Write a situation that could be represented by the equation y=15x-3
Solnce55 [7]
A tree grows at a rate of 15 inches per year.  However, three inches were chewed off by quasi-sadistic bunnies the first year it was planted.  Fortunately, the bunnies were frightened off by the garden gnomes, and did not return.  As a result the tree was able to grow unencumbered for the rest of its life.
8 0
3 years ago
Name two different numbers that round to 30 when rounded to the nearest 10
Ne4ueva [31]
39 and 36. both of them rounded to the nearest 10 is 30
4 0
3 years ago
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TRUE or FALSE: Every number raised to a negative exponent will have a value smaller than 1. Explain your reasoning.
Sveta_85 [38]

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Every number raised to a negative exponent will have a value smaller than 1.

  • This is False statement
<h3><u>Reason</u><u> </u><u>:</u><u>-</u></h3>
  • It will only be negative if the number is negative with an odd exponent.
  • what you're actually doing is dividing instead of multiplying.
<h3>For Example:-</h3>

\sf 4^2=16 \\ But \\ \sf 4^{-2}={\dfrac {1}{16}}

5 0
3 years ago
Santos flipped a coin 500 times. The coin landed heads up 225 times. Find the ratio of heads to total number of coin flips. Expr
Ad libitum [116K]
225/500
9:20
The ratio is 9 to 20
5 0
3 years ago
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