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3 years ago

Find the area of each figure to the nearest tenth.

Mathematics

1 answer:

sergey [27]3 years ago

6 0

Answer:

Area of triangle ABC=7 square units

Area of triangle A'B'C'=7 square units

Step-by-step explanation:

Triangle ABC is the preimage of triangle A'B'C' under a reflection in the line x=0.

The two triangles are congruent so they have the same area.

We can calculate the area by counting the unit squares the triangle covered.

Each full box is 1 units square.

Each triangle covered

1 full box and 12 partially covered boxes.

Each partial box covered is 0.5 square units.

Therefore the area is

$Area=1+0.5\times12$

$Area=1+6$

$Area=7$ square units

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In a certain class of students, there are 11 boys from Wilmette, 7 girls from Wilmette, 5 boys from Winnetka, 4 girls from

attashe74 [19]

Answer:

.571

Step-by-step explanation:

We need to find the total number of boys

11+5+4 = 20

And the total number of students

11+7+5+4+4+4 = 35

The Probability that the student is a boy is boy/total

P (boy) = boy/total

= 20/35

=4/7

=.571428571

to 3 decimal places

=.571

6 0

2 years ago

Find the length of side x in simplest radical form with a rational denominator.

NeTakaya

Answer:

$x = 2 \sqrt{5}$

Step-by-step explanation:

$\sin \: 30 \degree = \frac{ \sqrt{5} }{x} \\ \\ \frac{1}{2} = \frac{ \sqrt{5} }{x} \\ \\x = 2 \sqrt{5}$

5 0

2 years ago

Find the equation of a line that passes through the point (3,5) and has a gradient of 2.

Karolina [17]

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = 2x - 1 ← equation of line

7 0

2 years ago

Please do these problems, and show work:

masha68 [24]

Here’s the first one

6 0

2 years ago

Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x

Natali5045456 [20]

Answer: D. (x+5)/(x-3)

Step-by-step explanation:

Domain = Set of all input values of a function.

range = set of all output values of a function.

Given: Domain: $x\neq3$ ; range = $y\neq2$

We do not include a value for domain if it makes the expression indeterminant .

Since all the functions in options are fractions, here the denominator does not equal to 0.

But in option C and D, the denominator can be zero if x=3.

So , domain for then it $x\in {R-3}$

Also, for option C if $2=2\dfrac{(x+5)}{(x-3)}$

$\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5$ .which is not true.

Wher as in option D, $2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11$

Hence, Domain: $x\neq3$ ; range = $y\neq2$ is for option D.

3 0

3 years ago