A jogger ran 6 miles due east of his house. Then he ran 4 miles at a heading of 30o East of North (or 30o NE). How far is he from his house after running 10 miles?

Answer:

The answer is 4

Step-by-step explanation:

3+1=4

Have a nice day:)

Answer:

7/8 + 4/8 = 1 3/8.

Step-by-step explanation:

In words the answer is 1 and 3/8.

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.

The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.

The triangle is obtuse.

__

Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).

In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:

  hypotenuse = √(6² +8²) = √100 = 10

Your long side is longer, so your largest angle is larger than 90°.

Law of Cosines:

  angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°

Answer:

738 square ft

Step-by-step explanation:

Area of the composite figure

= 21*(12 + 9 + 6) + 9*(9 + 6) + 6*6

= 21*27 + 9*15 + 6*6

= 567 + 135 + 36

= 738 square ft

Step-by-step explanation:

cost to produce 120 units

= C(120) = 1000+5.7(120) + .7(120^2) =

= 11764

cost to produce 100 units = C(100)

= 8570

rate of change = (11764-8570)/(120-100)

= 3194/20

= 159.70 dollars/unit

repeat the process for 100 to 101

Answer:

ahhh you didnt have to !!

Step-by-step explanation:

thank you so much, ill do the same!! check my page for a question w free brainliest

Answer:

28

Step-by-step explanation:

Answer:Your answer would be F

Step-by-step explanation:

Answer:

150,350

Step-by-step explanation:

FOR RUBY:

500x30/100=150

FOR ELLIE:

500x70/100=350

Answer:

200.

Step-by-step explanation:

100%->500

1%->500÷100=5

Ruby->30%->30×5=150

Ellie->70%->70×5=350

diff->350-150=200(ans)

Answer:

18m tall?

Step-by-step explanation:

Answer:

20 m

Step-by-step explanation:

The scale factor between the two triangles is 1/10 because of how 3/30 is 1/10.

Therefore we can calculate the height of the tree by multiplying the height of the smaller triangle by 10 to find the height of the tree.

2*10 = 20m

Step-by-step explanation:

For first triangle,

sin 45 = 3 / d

1 / root 2 = 3 / d

d = 3 root 2

For second triangle,

tan 60 = 7 / a

root 3 = 7 / a

a = 7 / root 3

Answer:

x/-5

Step-by-step explanation:

Just divide by 5 and the denominator will be 5 meaning x would have to be 4.

Make sure your 5 is negative so the whole equation also ends up negative. x/-5=-4/5

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between the given points is

[tex]d=\sqrt{(5-(-1))^2+(-2-2)^2}[/tex]

[tex]d=\sqrt{(5+1)^2+(-4)^2}[/tex]

[tex]d=\sqrt{(6)^2+16}[/tex]

[tex]d=\sqrt{36+16}[/tex]

On further simplification, we get

[tex]d=\sqrt{52}[/tex]

[tex]d=7.2111[/tex]

[tex]d\approx 7.21[/tex]

Therefore, the the distance between the given points is about 7.21 units.

Answer:

2x + 22

Step-by-step explanation:

3x - (1)x = 2x

10 + 12 = 22

therefore 2x + 22 is your answer

Answer:

C

Step-by-step explanation:

subtract : 3x - x = 2x

Add : 10 + 12 = 22

Answer: 2x + 22

Answer:

x=49

Step-by-step explanation:

2x+1=99

2x=98

x=49

Answer:

To find the value of x we need to solve this equation

2x + 1 = 99

now ,taking constant to right side

2x = 99 - 1

2x = 98

x = 98/2

x= 49

hope it will help ,sir

Explanation:

Imagine that you cross out the top-most square for each step of each diagram. The squares not crossed out have the following counts: 1, 4, 9

This is the sequence of perfect squares. So the rule will have us take the number n, and square it to get n^2. Then we add on the squares we crossed out earlier. This explains the "plus 1" at the end to get the answer of n^2+1

Answer:

[tex] {n}^{2} + 1 \\ \: respresents \: the \: following \: \\ function[/tex]

i hope it helped.

if there was a graph I would be able to help you but you have on here how many distinct Circles of radius 2 units are on the coordinate plane and pass through exactly two of the labeled point on this graph? Where is the graph?

Answer:

x = -2

y = 6

Step-by-step explanation:

i multiplied the 1st equation by 3 and the 2nd by 5 to get the y-terms to zero out

   12x + 15y = 66

+  35x - 15y = -160

   47x = -94

x = -94/47

x = -2

substitute -2 for 'x' to solve for 'y':

4(-2) + 5y = 22

-8 + 5y = 22

5y = 30

y = 6

Answer:

1. Yes

2. 112 ounces

Step-by-step explanation:

To answer this question, we should first convert the amount of pounds Rick's cat weighs into ounces, so that both measurements are in the same unit. Since 1 pound is the same as 16 ounces, we can multiply 7 pounds by 16 ounces:

7 * 16 = 112

So, Rick's cat weighs 112 ounces, which is more than his neighbor's puppy, which only weighs 103 ounces. so for the first question, the answer is:

Yes, Rick's cat weighs more than the puppy.

And the second answer is:

Rick's cat weighs 112 ounces.

Hope this helps :)

Step-by-step explanation:

buffet or tells about the beliefs values behaviour and material object that constitute a people's way of life

Answer:

In sociology, traditional society refers to a society characterized by an orientation to the past, not the future, with a predominant role for custom and habit. Such societies are marked by a lack of distinction between family and business, with the division of labor influenced primarily by age, gender, and status.

Step-by-step explanation:

Hope it is helpful.....

Answer: I think 2

Step-by-step explanation:

Because

Answer:

x=3, y=5

Step-by-step explanation:

Answer:

its 34

Step-by-step explanation: i

Answer:

false is correct answer if wrong sorry

Answer:

false bc those 3 angles make up 1 right triangle

Answer:

One reason, is because it clearer and easier to read.

Seeing two numbers (3^5) can let you know, in this example, 3x3x3x3x3 is harder to understand than 3^5.

3 is the number being multiplied, and 5 tells you how many times.

~Hope this helps~

Answer:

I use equal signs throughout but they are meant to be less than or equal to signs.

s=sandwiches

4.5s+6 less than or equal to 50

The answer is s is less than or equal to 12

Step-by-step explanation:

Finding Inequality

1. we know everything costs 50 in total so that is on one side of the equal sign.

____=50

2. we know he already spent 6 dollars so the money he can spend is 6 dollars less.

____+6=50

3. Each sandwich costs 4.50 $ so how much money does he have left to spend? we figure that out by multiplying the price by the number of sandwiches.

4.5s+6=50

Solving

1. 4.5s-6=50

First use the addition property of equality and add 6 to both sides.

2. 4.5s=56

Then use the division property of equality and divide each side by 4.5

3. you get a decimal but since you can't buy half a sandwich the answer is

s is less than or equal to 12

Answer:

43.5 cm² and 112 cm²

Step-by-step explanation:

Here the instructions aren't given what to do. So I am finding the area of the ∆s .

Area of first ∆ :-

Area of second ∆ :-

Answer:

[tex] \displaystyle 3) \boxed{ \rm {43.5 \: cm}^{2} }[/tex]

[tex] \displaystyle 4)\rm \boxed{112 {cm}^{2} }[/tex]

Step-by-step explanation:

we are given a triangle and we want to figure out the area of it Since we are given the base and the height we can consider the following formula

[tex] \displaystyle \frac{1}{2} bh[/tex]

from the triangle we can assume base and height as 14.5 and 8 respectively Thus substitute:

[tex] \displaystyle \frac{1}{2} (14.5cm)(6cm)[/tex]

reduce fraction:

[tex] \displaystyle (14.5cm)(3cm)[/tex]

simplify multiplication:

[tex] \displaystyle \boxed{ \rm {43.5 \: cm}^{2} }[/tex]

our given shape is trapezoid

therefore recall that,

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]

from the shape we define that

now substitute:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = \frac{9cm + 19cm}{2} (8cm)[/tex]

reduce fraction:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = (9cm + 19cm)(4cm)[/tex]

simplify addition:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = (28cm)(4cm)[/tex]

simplify multiplication:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = \boxed{112 {cm}^{2} }[/tex]