Triangle CDE is translated down into the right forming triangle C’D’E’. Which congruency statement is correct?

Answer:

3.84 * 10^8 meters

Step-by-step explanation:

As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:

Distance = speed * time

So we have that:

Distance = 300,000,000 * 1.28 = 384,000,000  meters

In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:

Distance = 3.84 * 10^8 meters

Answer:

b is false, idk about a the median is the middle line its 70 in this case

Answer:

a. true

b. false

Step-by-step explanation:

a. 2 parts of diagram are 50% and that's 62 - 70

b. median height is 70 in

Answer:

Step-by-step explanation: 2 x2 =4

i am guessing it means 2 to the power of 2

Answer:

[tex]2\log _{10}\left(z\right)=4 : z=100[/tex]

Step-by-step explanation:

[tex]2\log _{10}\left(z\right)=4[/tex]

Divide both sides by 2:

[tex]\frac{2\log _{10}\left(z\right)}{2} =\frac{4}{2}[/tex]

Simplify:

[tex]\log _{10}\left(z\right)=2[/tex]

Use the logarithmic definition: If  [tex]\log _{a}\left(b\right)=c[/tex] then [tex]b=a^c[/tex]

[tex]\log _{10}\left(z\right)=2 \Rightarrow \:z=10^2[/tex]

[tex]z = 10^2[/tex]

Simplify:

[tex]z =100[/tex]

Final answer:

[tex]z=100[/tex]

Hope I helped, if so may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

44 m

Step-by-step explanation:

I'll assume the 5 seconds is from the time he jumped off the board.

This means we are to calculate his height 3 seconds after dropping from the height of 9 m, since he spent 2 seconds springing up off the board from a height of 7 m to the 9 m height.

we use Newton's equation of motion.

We are given

initial velocity U at the height of 9 m = 0 m/s

acceleration due to gravity downwards g  = 9.81 [tex]m/s^{2}[/tex]

distance covered S = ?

time of fall t = 3 seconds

we use S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

S = (0 x 3) + [tex]\frac{1}{2}[/tex](9.81 x [tex]3^{2}[/tex])

S = 0 + 44.145

S = 44 m

Answer:

48

Step-by-step explanation:

40/50 = x/60

x= (40 x 60) / 50

Answer:

a= 75 cm

Step-by-step explanation:

a= 10×15

150÷2

a= 75 cm

Answer:

67.97 cm²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bc sinA

with b = 15, c = 10 and A = 115°, thus

A = 0.5 × 15 × 10 × sin115° = 75 × sin115° ≈ 67.97 cm²

Answer:

[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}[/tex]

Decimal Form:

[tex]x = -267.38030...[/tex]

Step-by-step explanation:

[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14[/tex]

Remove Parentheses: [tex](-a) = -a[/tex]

[tex]-3^{\circ \:}x\left(-3\right)=-3\cdot \:14[/tex]

Multiply the numbers: [tex]3 * 14 = 42[/tex]

[tex]-3^{\circ \:}x\left(-3\right)=-42[/tex]

Divide both sides by: [tex]-3^{\circ \:}\left(-3\right)[/tex]

[tex]\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}[/tex]

Simplify:

[tex]x=-\frac{840}{180^{\circ \:}}[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

entre 3/8 y 9 veces 3/8S

tep-by-step explanation:

Answer:

2:1____________________________________

Answer:

Complex and imaginary number

Step-by-step explanation:

First, let's write the number[tex]-16.2i[/tex] in the form of [tex]a+bi[/tex].

[tex]0+ (-17)i[/tex]

Since [tex]-16.2i[/tex] can be written in the form of [tex]a + bi[/tex], where [tex]a[/tex] and [tex]b[/tex] are real numbers, it is a complex number.

Also, since [tex]a=0[/tex], it is also an imaginary number.

[tex]-16.2i[/tex] is complex and imaginary.

Answer:

A=9.75

Step-by-step explanation:

A=pq

   ___

     2

A= 3 6.5

    _____

         2

A=9.75

Answer:

15x+21=8

subtract 21 from both sides

15x+21-21=8-21

simplify

15x=-13

divide both sides by 15

15x=-13

15      15

x=-13/15

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

23.01 = b

Step-by-step explanation:

Solve this using the Law of Cosines first:  Find side length b.

b^2 = 22^2 + 28^2 - 2(22)(28)*cos 34 deg, or:

b^2 = 484   +  784   - 2(616)(0.593), or

       =       1260    -730.576    =    529.424

Taking the square root of both sides, we get:

b = +√529.424 = 23.01 = b

Answer:

52 years

Step-by-step explanation:

Since the mean age of 5 people in that room is 28 years,

∴ Sum₍₅₎= (28×5) years

             = 140 years

Then, one person enters the room which makes the mean age 32 years.

∴Sum₍₆₎= (32×6)years

             = 192 years

∴The age of the person who enters the room= (192 - 140) years

                                                                             = 52 years

Answer:

(6 + x)(6 + x) = (6 + x)²

Step-by-step explanation:

Given

36 + 12x + x²

Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)

The factors are + 6 and + 6, since

6 × 6 = 36 and 6 + 6 = 12, thus

36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²

Answer:

The answer is "-51"

Step-by-step explanation:

[tex]\ distance = 5 \frac{unit}{minute}[/tex]

[tex]\ moved \ point = \ time \times \ distance\\\\[/tex]

                  [tex]=10 \times 5 \\\\ = 50[/tex]

In this 50 unit left in point. So, total points which is left are:

[tex]\ moved \ point = point + \ calculated \ point (\ moved\ point)[/tex]

                    [tex]= -1 + -50\\\\=-51[/tex]

Answer:

:)

Step-by-step explanation:

Answer:

13.26

Step-by-step explanation:

The formula for arc length is 2πr([tex]\frac{angle}{360}[/tex])

Then all you have to do, is sub your values into it

Answer:

-1

3

Step-by-step explanation:

Answer:

1. -1, 3

2. 4 could be a multiplicity of the root at x = 1.

Answer:

erm

Step-by-step explanation:

The sides will be:

6cm

6cm

4cm

Answer:

In isosceles triangle two sides are equal . Let the length be x .hence perimeter can be given as x + x + 6 . Therefore 2x + 6 = 16 . And 2x = 10 .and hence x =5 . So the length of each side is 5 cm

Step-by-step explanation:

Answer:

Each family member gave $4

Step-by-step explanation:

(-44 - (-80))/9

36/9

4

Answer:

108

Step-by-step explanation:

"five times a number x, decreased by 2" can be expressed as: 5x - 2

Now,

5x - 2 = 5*22 - 2 = 110 - 2 = 108

Answer:

620 cm2

Step-by-step explanation:

The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:

B = 24 * 10 = 240 cm2

The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:

C = 24 * 5 / 2 = 60 cm2

The sides are rectangles with 10 cm x 13 cm, so their area is:

D = 10 * 13 = 130 cm2

The total surface area is:

S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2

Answer:

the second, third, and last

Answer:

5. 37.065 square centimeters

6. 241 square centimeters

Step-by-step explanation:

5. First, separate the figure into shapes you can find the areas of. This first figure can be represented by two rectangles and one quarter circle.

The two rectangles can be found using a = bh, or 5x3! Both of the rectangles' areas are equal to 30cm.

The circle's area can be found using a = pi(r^2). r stands for radius, which can be represented by 3cm. The area of a whole circle with a radius of 3 is 28.26 cm. Because it is a quarter circle, however, we can divide this value by four to get an area of 7.065cm.

If you add them all together, you get an area of 37.065.

6. First, separate the figure into shapes you recognize. This one can be separated into one triangle and one rhombus.

You can find the area of the triangle using the formula: a = 1/2bh. This gets you an area of 88cm.

The rhombus can be found using the formula: a = 1/2(b1+b2)h. Essentially, you find the average of the two bases and multiply it by the height! This gets you an area of 153cm.

Now, simply add the two areas together and you get an area of 241cm!

Answer: x^2 + 4x + 4

Step-by-step explanation:

Answer:

x^2 + 4x + 4

Step-by-step explanation:

We can do this first

(x + 2)^2

Then we can use our knowledge and do

x^2 +4.

We have to multiple the two by two and then x because that is a rule in

(a + b) ^2

=

a^2 + b^2 + 2ba

So we end up with x^2 + 4x +4

Answer:

$61.44

Step-by-step explanation:

Both the tip and the tax are based on the original amount ($48).  

To find the amounts, first change the percents to decimals.

8% = 0.08

20% = 0.20

Then, multiply the decimals by the original amount.

48 × 0.08 = 3.84

48 × 0.20 = 9.60

Next, add up the original amount, the tax, and the tip to find the total money spent by Lucy.

$48 + $3.84 + $9.60 = $61.44

The total amount spent is $61.44.

Lucy pay total amount of $61.44, including tax and the tip.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Both the tip and the tax are based on the original amount ($48).  

To determine the amounts, first change the percents to decimals.

8% = 0.08

20% = 0.20

Now multiply the decimals by the original amount.

48 × 0.08 = 3.84

48 × 0.20 = 9.60

Next, add up the original amount, the tax, and the tip;

$48 + $3.84 + $9.60 = $61.44

The total amount spent will be $61.44.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Answer:

16

Step-by-step explanation:

All you have to do 4/9 of 36 which is 16.

Hope this helps!!

Answer:

The answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation: