All categories

3 years ago

What is the length of the base of a right triangle with an area of 20m2 and the height of 4 m

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

Answer:

The base is 10 meters

Step-by-step explanation:

The area of a right triangle is (b × h) ÷ 2 = a

Let's input the given values and find the value of b:

(b × 4) ÷ 2 = 20

4b ÷ 2 = 20

2b = 20

b = 10

Check:

(10 × 4) ÷ 2 = 20

40 ÷ 2 = 20

20 = 20

It works!

You might be interested in

Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They

ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

$P = 2$

$G = 3$

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

This gives:

$P(G_1\ and\ G_2) = P(G_1) * P(G_2)$

$P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}$

$P(G_1\ and\ G_2) = \frac{3}{10}$

$P(P_1\ and\ P_2) = P(P_1) * P(P_2)$

$P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}$

$P(P_1\ and\ P_2) = \frac{1}{10}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

$P(Same) = \frac{3}{10} + \frac{1}{10}$

$P(Same) = \frac{3+1}{10}$

$P(Same) = \frac{4}{10}$

$P(Same) = \frac{2}{5}$

8 0

3 years ago

3x - 4y = 18<br>x + 3y = -7

Mnenie [13.5K]

Answer:

x=2, y=-3

Step-by-step explanation:

x+3y+-7

move variable to the right and -3y from each side

x+3y-3y=-7-3y

x= -7-3y

3x -4y=18

3(-7-3y)-4y=18

solve for y, distribute

-21-9y-4y=18

collect like terms

-21-13y=18

move constant and change sign

-13y=18+21

add

-13y=39

divide by -13

y= -3

substitute

x=-7-3(-3)

solve

x=2

4 0

3 years ago

A carpet salesman earns a base pay of $19,800 per year and a commission of 12% of all sales made. If he sold $27,200 worth of me

kakasveta [241]

I believe 23064 would be his total earnings of last year.

8 0

3 years ago

Lisa paid $48.25 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest

vlabodo [156]

$2.89 Just do the cost divided by the gallons and round up.

8 0

3 years ago

...jcjcjxjxjxjjxjxjxjxjxjxjjxjxx

kirza4 [7]

Uhhh akskwkkaakkskskakaka

6 0

3 years ago