Michelle’s house is 22 miles due north of Jan’s house and 30 degrees northeast of Richard’s house. Richard’s house is due east of Jan’s house. How far is it from Michelle’s house to Richard’s house?

Answers

Answer 1

Answer:

Michelle’s house is 44 miles to Richard’s house.

Step-by-step explanation:

The distance can be found out by using the trigonometric ratio of sine theta

Sine theta= Perpendicular/ Hypotenuse

We know the values of hypotenuse and theta

Sine 30 = 22/ Hypotenuse

Hypotenuse= 22/ sine 30

Hypotenuse= 22/0.5

Hypotenuse = 44

The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.

Michelles House Is 22 Miles Due North Of Jans House And 30 Degrees Northeast Of Richards House. Richards

Related Questions

Helpp!!

Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotient.

Answers

Answer:

6

Step-by-step explanation:

Hannah selects a marble randomly from a jar containing 11 green, 5 yellow, and 4 red marbles. Develop a probability model based on theoretical probability

Answers

55%green25%yellow20%red

How many solutions does this system have?
y=3/4x-5
-3x+4y=-20
O one
O two
an infinite number
O no solution

Answers

Answer:

Infinite number

Step-by-step explanation:

what is the mean,median,mode ,and range of 24,12,10,15,10,22,12

Answers

Answer:

24, 12, 10, 15, 10, 22, 12

mean:  7

median: 12

mode:  12

Range: 14

Step-by-step explanation:

Answer: Mean=15, Median=12, Mode=10 and 12, Range=14

Step-by-step explanation:

Data:

Numbers: 10, 10, 12, 12, 15, 22, 24

Mean: x, Median: x, Mode: x, Range: x

Step One, Find the Mean by adding all of the numbers and dividing them by the number of numbers

10+10+12+12+15+22+24=105/7=15

Mean=15

Reason: By adding all of the numbers together and dividing them by the number of numbers, you can find the mean because that is the method on finding the mean.

Step Two, Find the Median(middle) by finding the number in the middle

10, 10, 12, 12, 15, 22, 24

Median=12

Reason: Since the median is the number in the middle, 12 would be the median since it is the number in the middle of the array of numbers.

Step Three, Find the mode by finding the number that show up the most

10, 10, 12, 12, 15, 22, 24

Mode=10 and 12

Reason: Since mode is finding the number that shows up the most, 10 and 12 would be the answer for that reason and that they show up the same number of times in the array of numbers.

Step Four, Find the range by subtracting the biggest number by the smallest

24-10=14

Reason: Since to find the range you have to subtract the biggest number(24) by the smallest(10) the answer has to be 14 because that us the answer to 24-10.

I hope this helps!

Help pleaseeee, I am lost and need help

Answers

Answer:

I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2

answer please thanks

Answers

Answer:

-37/6

Step-by-step explanation:

Here, you will made X the subject. So.... 5 will go to the LHS from positive to negative... 3/8-5=-37/8.. so 3/4x=-37/8 so -37/8 divided by 3/4 is -37/6 so therefore x= -37/6

perpendicular sides mean plz

Answers

Answer:

lines that will never touch

Step-by-step explanation:

these are lines that you could keep drawing and they will never cross or touch

The Chess Club has 24 members, 14 girls and 10 boys. What is the ratio of
girls to boys in the Chess Club?
A. 3:4
O B. 7:5
O C. 5:7

Answers

Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?

The given line passes through the points (0, ) and (2, 3). On a coordinate plane, a line goes through (0, negative 3) and (2, 3). A point is at (negative 1, negative 1). What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-1,-1)?

Answers

Answer:

1st answer i think

Step-by-step explanation:

Find the height of an isosceles triangle with two congruent sides of length
37cm and the base of length 24cm.​

Answers

Answer:

119cm

Step-by-step explanation:

add 37 and 24 you get 61 and the size of a triangle no matter what is going to be 180 so then subtract 180 from 61 and get 119.



A recipe calls for 2 cups of milk for 8 pancakes. To use this recipe to make 16 pancakes, how many cups of mik are needed?

Answers

Answer:

4 CUPS OF MILK

Step-by-step explanation:

2 cups of milk=8 PANCAKES

2       X

8       16

16X2=32

32/8= 4

If a pumpkin weighs 2.7 kilograms and 1 pound is about 0.45 kilograms, how many pounds does the pumpkin weigh?

Answers

Answer:

6 pounds

Step-by-step explanation:

2.7/0.45 = 6

The angles in a triangle are in the ratio 1 : 2 : 3
Show that the triangle is a right-angled triangle

Answers

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide 180° ( sum of angles in a triangle ) by 6

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

The angles in the triangle are 30°, 60°, 90°

Then the triangle is right angled

Answer:

The angles are 30°, 60° and 90°.

Step-by-step explanation:

Hint : sum of the angles in triangle = 180°.The triangle is a right-angled triangle.Answer:

Let missing angles be [tex]x[/tex], [tex]2x[/tex].

As the triangle is right-angled triangle.

[tex]x + 2x + {90}^{o} = {180}^{o} [/tex]

[tex]3x = {180}^{o} - {90}^{o} [/tex]

[tex]3x = {90}^{o} [/tex]

[tex]x = \frac{90 ^{o} }{3} [/tex]

[tex]x = {30}^{o} [/tex]

[tex]2x = 30 \times 2 \\ = {60 }^{o} [/tex]

Check:30° + 60° + 90° = 180°.Hope it is helpful....

The distance on the map between Rocky Creek State Park and Hillcrest Elementary is 4.2 cm.
Approximately how far is Rocky Creek State Park from Hillcrest Elementary?

Answers

Answer:2

Step-by-step explanation: because

Answer: c. 420 m

Step-by-step explanation:

5. Twenty volunteers with high cholesterol were selected for a trial to determine

whether a new diet reduces cholesterol. The volunteers were given a low-carb,

low-calorie diet. After 8 weeks of the diet, the average cholesterol of the

volunteers dropped a significant amount. This study is an example of

(A) A controlled experiment.

(B) An uncontrolled experiment.

(C) A double blind experiment.

Ablocked design experiment.

Answers

Answer:

(B) An uncontrolled experiment.

Step-by-step explanation:

In the case of an uncontrolled experiment here all participants are provided the similar treatment and there should be no comparison oppose to any group i.e. controlled

Since in the given situation, there are similar diets are provided to 20 volunteers and it can be that the  cholesterol level is decreased after particular time period,

Hence, it is an uncontrolled experiment.

Thus, option B is correct.

The points plotted below are on the graph of a polynomial. How many roots
of the polynomial lie between x = -4 and x = 3?
URGENT

Answers

Given:

The graph of a polynomial.

To find:

The number of roots of the polynomial lie between x = -4 and x = 3.

Solution:

From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.

The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.

The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.

Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.

How many possible outcomes are possible if you choose from 2 ice cream flavors, 3 toppings, and a waffle cone or a cup?

A) 6
B) 12
C) 2
D) 8

Answers

Answer.) B.12
I did the math

What is the volume of the sphere? Around you answer to the nearest whole number.

Answers

Step-by-step explanation:

Diameter=10cm

Radius=Diameter/2=10/2=5cm

Now

[tex]\boxed{\sf Volume\:of\: Sphere=\dfrac{4}{3}\pi r^3}[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{4}{3}\times \dfrac{22}{7}\times 5^3[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{88}{21}\times 125[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{11000}{21}[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=523.8[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=524units^3(Approx)[/tex]

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

9^2 + 15^2 = x^2

   81 + 225 = x

          17.49 = x

Rounded to the nearest tenth:

                 x = 17.5

     

Reuben made $247 for 13 ours of work.
At the same rate, how many hours would he have to work to make $171 ?

pls help!!!

Answers

Answer:

9 hours

Step-by-step explanation:

We can use a ratio to solve

247 dollars       171 dollars

---------------- = -------------

13 hours             x hours

Using cross products

247* x = 13*171

247x =2223

Divide each side by 247

247x/247 =2223/247

x=9

what is the slope of the line that passes through points (-4,9) and (6,12)

Answers

Answer:3/10 or 0.3

Step-by-step explanation:

y2-y1/

x2-x1

12-9/6--4

3/10

or 0.3

slope=3/10 or 0.3

the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the number added?​

Answers

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

Multiply both sides by n:

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

Multiply both sides by (n +1):

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

Expand:

xn= yn +y -a

a= yn +y -xn

Let's check!

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

3 x 2 ?? mark brainlyyyyyy​

Answers

Answer:

6

Step-by-step explanation:

Hope it helps kkkkkjjj9

Answer:

easy 3x2=6

Step-by-step explanation:

it is basically 2 groups of 3 or 3+3 which is 6

If using the method of completing the square to solve the quadratic equation
x^2– 13x – 7 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

9642

Step-by-step explanation:

Which expression is equivalent to the expression for the perimeter of the larger garden. Select all the apply.

Answers

Answer:

Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden

Step-by-step explanation:

The complete question is

A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.

4x+40 2(2x+20) 2(x+15)(x+5) 4(x+15)(x+5) 2(x+15)+2(x+5)

Solution

The expression for the perimeter of the larger garden: [tex](x+15)+(x+5)+(x+15)+(x+5)[/tex]

If the given expression is expanded and solved, we get the following

[tex](x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40[/tex]

Hence, option A is correct

Perpendicular to x+y=6 and passing through (0,1)

Answers

Answer:

y = x + 1

Step-by-step explanation:

x + y = 6

y = -x + 6

Perpendicular slope to -1 is 1

(0,1)

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = x

y = x + 1

Standard form:

y = x + 1

-x + y = 1

Does anyone know what 9x*3x/4 is?

Answers

Answer and Step-by-step explanation:

We are given the expression [tex]\frac{9x * 3x}{4}[/tex].

First, we need to multiply 9x by 3x. This results us with [tex]27x^2[/tex].

[tex]\frac{27x^2}{4}[/tex] -- This is the final expression simplified. There isn't anything else we can do this expression, as it is not factorable and can't be simplified any further.

#teamtrees #PAW (Plant And Water)

If mL DOC = 44º and mL COB = 80°,
find the measure of the indicated arc
in circle o.
D
с
O
E
B
mDB = [?]°

Answers

The answer is 80 arc cb has the same measures as the central angle

Answer:

124°

Step-by-step explanation:

measure of arc DC = 44 because the measure of central angle equals the measure of its arc.

measure of arc CB = 80 because the measure of central angle equals the measure of its arc.

measure of arc DC = measure of arc DC + measure of arc CB

                                = 44 + 80 = 124°

IM SICK OF ALL THE FAKE LINKS! Can I get help?

Answers

Answer:

equation: 28 = 2h+ h + h or you could say 28 = 4h

h= 7

Step-by-step explanation:

since both lines are the same length they equal each other.

to get h = 7 you have to solve the equation you made.

28 = 4h

28/4 = 4h/4

7 = h

mark as brainliest please :)

A cuboid has 4 rectangular faces and 2 square faces. Each rectangular face measures 8 cm by 6 cm. Find the two possible values for the surface area of the cuboid.
pls give me answer with steps

Answers

Answer:

320 cm² or 264 cm²

Step-by-step explanation:

first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²

the 2 square faces will be either 8 x 8 or 6 x 6.

If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²

If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²

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