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Sloan [31]
3 years ago
14

Triangle DEF is on a coordinate plane with its

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

21\ \text{square units}

Step-by-step explanation:

The points are D(-3,5), E(-3,-2) and F(3,0).

Area of a triangle is given by

A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}

\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}

\Rightarrow A=21\ \text{square units}

The area of the given triangle is 21\ \text{square units}.

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01:49:1
Keith_Richards [23]

Answer:

The correct option is C:

C) The representative sample contained more girls than boys.

Step-by-step explanation:

It is given that a random sample is chosen from a total students of 160 students. The sample can be of 10,15 or any small numbers of students as compared to 160. However, a sample cannot be of 160 students as it is defined as a population in this case.

A random sample is always unbiased. Which means that the sample chosen should have around the same proportion of girls to boys as it is in the population of 160.

We know that:

Total boys in 160 = 65

Total girls in 160 = 95

Proportion of girls to boys = 95/65 = 1.462

Which means that for every 1 boy, there are 1.462 of girls.

The same ratio is held in a random sample, hence the total number of girls will be greater than boys

6 0
3 years ago
I WILL GIVE YOU 100 POINTS IF YOU HELP ME ON THIS PLEASE ASAP!
ValentinkaMS [17]

Answer:

4

Step-by-step explanation:

As I stated, the formula of the area of a triangle is LW/2.

Meaing all you have to do is 4x2/2.

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B3%7D%7B16%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \frac{3}{16}
sweet-ann [11.9K]
Hello!
When you have a non-exact root (irrational number)

\sqrt{ \frac{3}{16} } \to  \frac{ \sqrt{3} }{ \sqrt{16} } \to  \boxed{\boxed{\frac{ \sqrt{3} }{4} }}\Longleftarrow(irrational\:number)\end{array}}\qquad\quad\checkmark
7 0
4 years ago
A= square root of 175 b= 15 what is c
garik1379 [7]
15 x 15 = 175, that is how to find the square root.
4 0
3 years ago
Which statement is true about the circumference of a circle? The circumference is equal to the radius of the circle. The circumf
Irina18 [472]
<h3>The true statement about circumference of a circle is:  circumference is found by multiplying Pi by the diameter</h3>

<em><u>Solution:</u></em>

<em><u>The circumference of a circle is given as:</u></em>

\text{circumference } = 2 \pi r

Where,

"r" is the radius of circle

We know that,

diameter = 2 \times radius\\\\d = 2 \times r\\\\d = 2r

<em><u>Thus the circumference can also written as:</u></em>

\text{circumference } = 2 \pi r\\\\\text{circumference } = \pi \times d

Thus, the circumference is found by multiplying Pi by the diameter is correct statement

7 0
3 years ago
Read 2 more answers
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