The moon appears red during a lunar eclipse because red is the __________ wavelength of light in the color spectrum present in sunlight.
longest
shortest
brightest

Answer:

12.8

Step-by-step explanation:

First find the circumference of the circle:

Circumference = 2 x radius x pi

Circumference = 2 x 4 x 3.14 = 25.12 cm

Now arc ML is 100 degrees.

Multiply the circumference by the arc degree/360 ( 360 is a full circle)

25.12 x 100/360 = 6.98 cm

The answer is 6.98 cm

Answer:

4% of the tested population scored higher than Randy on the test

Step-by-step explanation:

P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%

Therefore, about 4% of the tested population scored higher than Randy on the test.

Answer:

3x+2x+a=180 degree(being linear pair)

5x+25=180

5x=180-25

x=155/5

x=31

Step-by-step explanation:

Answer:

B. 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.

Answer:

8^3−24^2+24−8

Step-by-step explanation:

If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)

Answer:

5

-7

36

Step-by-step explanation:

if the center is (5,-7) the first part must look like

(x-5)²+(y+7)²

to find the raidus plug in 5 for x and -1 for y

(5-5)²+(-1+7)²

0²+6²=36

36

Answer:

Rhombus

Square

Step-by-step explanation:

Given

Attached quadrilateral

Required

Select the type(s) of quadrilateral

From the attached image, we have:

[tex]DE = FG[/tex] -- Opposite, Parallel and Equal

[tex]EF = GD[/tex] -- Opposite, Parallel and Equal

Also:

[tex]DE = EF =FG = GD[/tex]

Since all 4 sides are equal, then it is neither a parallelogram nor a trapezoid

Hence, the shape is either a rhombus or a square

Answer:

see below

Step-by-step explanation:  5 20 21 02

There are 5 areas to calculate

Top  = LW          =  (20)(17)

Bottom  = LW    =  (20)(15)

Back  = LW        =  (20)(8)

2 Triangular Ends  = One square    = LW     =  (8)(15)

Total Surface Area = (20)(17) +  (20)(15) + (20)(8) +  (8)(15)

                  = (20)(17 + 15 + 8) +  (8)(15)

                  = (20)(40) + (8)(15)

                  =  800  +  120

                  =   920 ft²

Answer:

Infinite solutions

Step-by-step explanation:

2x -1 = x + x -1

2x=x+x

2x=2x

Answer:

x+y=28. 70x+140y=3360. 8 cats, 20 dogs were sold.

Step-by-step explanation:

hope it helps :)

Answer:

Step-by-step explanation:

Answer:

B median

Step-by-step explanation:

The median is the center of any data set

Answer:

1.05

Step-by-step explanation:

Answer: $1.05

Step-by-step explanation:

I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.

Hope This Helps!

Answer:12

Step-by-step explanation:just know i did it and got it right

Answer:

18 apples

Step-by-step explanation:

If 18 people each get 12 apples, then the total number of apples is 18*12=216.

If there were 6 fewer people, there would 18-6=12 people.

To split the total 216 apples between 12 people, so 216/12=18.

Each person would get 18 apples.

Answer:

Step-by-step explanation:

B?

Answer:

Hello There!!

Step-by-step explanation:

The answer is=>The sum is x + y = 65

The difference is x - y = 7 .....x = 7 + y

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

x + y = 65

x + 29 = 65

X = 36

The Sum: 36 + 29 = 65

The Difference: 36 - 29 = 7

hope this helps,have a great day!!

~Pinky~

Answer:

36 and 29

Step-by-step explanation:

The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:

x - y = 7

Now solve equation B for x to get the revised equation B:

x - y = 7

x = 7 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:

x + y = 65

x + 29 = 65

X = 36

Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:

Sum: 36 + 29 = 65

Difference: 36 - 29 = 7

Answer: 3

Step-by-step explanation:

Answer:

[tex]\displaystyle m = \frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (9, 5)

Point (21, 1)

Step 2: Solve for slope m

Answer:

16 laps

Step-by-step explanation:

400x10=4000

4000÷250=16

Answer:

[tex](a)\ \sin(46) = \frac{8}{RT}[/tex]

[tex](b)\ RT = 11.1[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a): Equation to determine RT

To do this, we apply sine formula

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(46) = \frac{8}{RT}[/tex]

Solving (b): Solve the equation

[tex]\sin(46) = \frac{8}{RT}[/tex]

Make RT the subject

[tex]RT = \frac{8}{\sin(46)}[/tex]

[tex]RT = \frac{8}{0.7193}[/tex]

[tex]RT = 11.1[/tex]

Answer:

They both have pie in the formula

Step-by-step explanation:

Answer:

Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.

Answer:

it would be five each hour.

Step-by-step explanation:

Answer:

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.

The upper end of the interval is the sample mean added to M. So it is S + 1.53.

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

Answer:

ok

Step-by-step explanation:

Answer:

284 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of triangle = bh/2 = 4(8)/2 = 16

Area of both triangles = 32

Area of left face = bh = 8(12) = 96

Area of right face = bh = 9(12) = 108

Area of bottom = bh = 4(12) = 48

Total lateral area = 32 + 96 + 108 + 48 = 284

Answer:

4

Step-by-step explanation:

Answer:

A. tan 38° = opposite/adjacent

opposite = (tan 38°)(adjacent)

opposite = (0.31)(17 ft)

opposite = 5.27 ft

B. height is = 5.27 ft

The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet

A mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.

(A) Give the building and is shadow is 17 feet and make θ.

then the relation is tanθ =y/17

So y = 17 tanθ

(B) If the is angle is 38°

then

tan38° =y/17

0.7813 = y/17

        y = 13.28 feet

Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.

Learn more about the model here- brainly.com/question/24448358

#SPJ2.

Answer:

1.84 meters

Step-by-step explanation:

Jackie: 30.29 meters - Lee: 28.45 meters = 1.84 meters