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Vsevolod [243]
3 years ago
13

A triangle has an area of 900m^2 . If a parallelogram has the same height and base as the triangle, what is the area of the para

llelogram?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

area = 1800 m²

Step-by-step explanation:

area of one triangle = 900 m²

if a parallelogram has the same height and base as the triangle, then that means the area or the two triangle and shaped as a parallelogram

is twice the area given.

area = 900 * 2

area = 1800 m²

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Based on the graph, which equation represents the relationship between the height of trees (y) and the amount of rainfall (x)?
slega [8]

<u>Given</u>:

Given that the graph that shows the amount of rainfall( in centimeters) and the height of the trees( in meters)

We need to determine the equation that represents the relationship between the height of trees(y) and the amount of rainfall(x).

<u>Slope of the equation:</u>

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (20,10) and (40, 20) in the above formula.

Thus, we get;

m=\frac{20-10}{40-20}

m=\frac{10}{20}

m=0.5

Thus, the slope of the equation is 0.5

<u>y - intercept:</u>

The y - intercept of the equation is the value of y when x = 0.

Thus, from the graph, when x = 0, the value of y is 0.

Hence, the y - intercept is b = 0

<u>Equation of the graph:</u>

The equation of the given graph can be determined using the formula,

y=mx+b

Substituting the values, we get;

y=0.5x+0

y=0.5x

Thus, the equation that represents the relationship between the height of the trees (y) and the amount of rainfall (x) is y=0.5x

Hence, Option C is the correct answer.

5 0
3 years ago
Read 2 more answers
Line ab perpendicular to line MN how many right angles are formed where the two meet
iren [92.7K]
Just think about it
right angles are the very definition of perpendicular
how many right angles in a full rotation? 4

answer is 4
4 0
3 years ago
Helppppppppppppppppp
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

The top one is the third one the bottom one is the first one

6 0
3 years ago
You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll
Misha Larkins [42]

Answer:

a. P (R3 | G1)=\frac{1}{5}

b. P (R6| G3)= \frac{1}{3}

c. P(G3|E)=\frac{2}{3}

d. P (E|G3)=\frac{2}{3}

Step-by-step explanation:

The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,

a. The conditional probability that 3 is rolled given that the roll is greater than 1? P (R3 | G1) = \frac{P (R3\bigcap G1)}{P(G1)} = \frac{1/6}{5/6} = \frac{1}{5}

b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? P (R6| G3) = \frac{P (R6\bigcap G3)}{P(G3)} = \frac{1/6}{3/6} = \frac{1}{3}

c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? P(G3|E) = \frac{P (G3\bigcap E)}{P(E)} = \frac{2/6}{3/6} = \frac{2}{3}

d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? P (E|G3) = \frac{P (E\bigcap G3)}{P(G3)} = \frac{2/6}{3/6} = \frac{2}{3}

6 0
3 years ago
Explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.
m_a_m_a [10]

Answer:

Solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

Step-by-step explanation:

We need to explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

<em>Equivalent expressions are those that have same values for any value of variable substituted.</em>

Now, We check if our expressions are equivalent, by evaluating the expression for t=2.

If they are equivalent, they would have same result after evaluation.

First, put t=2 into 14t-3t

14t-3t\\Put\:t=2\\=14(2)-3(2)\\=28-6\\=22

Now put t=2, into 3t-14t

3t-14t\\Put\:t=2\\=3(2)-14(2)\\=6-28\\=-22\\

For solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

6 0
3 years ago
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