The grasshopper jumps either one block to the north, or one block to the west. He needs to reach the point that is located four blocks west and three blocks north of his current position. The grasshopper needs to avoid two dangerous intersections. The first intersection is one block west and one block north of his current position, and the second intersection is two blocks west and two blocks north of his current position. In how many ways can the grasshopper reach the desired destination?

Please help, im kinda new here, so I need answers immediately, I hope brainy doesn't fail me!

Answer:

[tex]A = 101.5825591635[/tex]°

Step-by-step explanation:

We can use the law of cosines.  We have a triangle with side lengths as attached. (See image.)

So we want to solve for angle A.

We do this by using:

[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]

Here we have:

a = 36

b = 27

c = 19

So we plug in to get:

[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]

[tex]cos(A)=-0.20077972709[/tex]

[tex]A = 101.5825591635[/tex]°

Answer:

70 percent

Step-by-step explanation:

first divide your part by your total: 28/40

then multiply the result by 100

so, 28/40=0.7. 0.7×100=70 percent

Answer:

x = 3

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

6x + 5 − 3x = 3x + 14 − 3x

3x + 5 = 14

Step 2: Subtract 5 from both sides.

3x + 5 − 5 = 14 − 5

3x = 9

Step 3: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{9}{3}[/tex]

x = 3

Hope it helps!!

The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

6x + 5 = 3x + 14

Simplify the equation, then we have

6x + 5 = 3x + 14

6x - 3x = 14 - 5

3x = 9

x = 3

The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

30 units ^2

Step-by-step explanation:

area of triangle = (base × height) / 2

Answer:

can you provide more information and explain

Step-by-step explanation:

Answer:

$43,200

Step-by-step explanation:

40,000*0.08=3,200

40,000+3,200=43,200

Hope this helps!

Answer:

37 23/12

Step-by-step explanation:

First, make them all have a common denominator.(12) Then, multiply as needed. Lastly, add all three number together.

Answer:

38 11/12

Step-by-step explanation:

Turn all denominators to 12. what you do the the bottom due to the top.

Answer:

27,36,45

Step-by-step explanation:

Pythagorean theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]6^{2}+ 9^{2}\\ =117\\\neq 12^{2}[/tex]

[tex]7^{2}+ 10^{2}\\ =149\\\neq 12^{2}[/tex]

[tex]16^{2}+ 18^{2}\\ =580\\\neq 25^{2}[/tex]

[tex]27^{2}+ 36^{2}\\ =2025\\= 45^{2}[/tex]

Answer:

f(3) = 6

Step-by-step explanation:

F(3)=-(3)2+4(3)

f(3) = -6 + 12

f(3) = 6

Answer:

Rational

Step-by-step explanation:

Hope this helps!!

Answer:

-6, -2, |-6|, |-7| 10

Step-by-step explanation:

Answer:

that look like  complementry and supplementry angles

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Answer:

C

Step-by-step explanation:

between three and four

Answer:

-5

Step-by-step explanation:

y2-y1/x2-x1

0-5/4-3

-5/1

Answer:

A. sin(-60°)

Step-by-step explanation:

test on edge

Answer of given expression is sin(-60°)

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given expression,

sin(20°)cos(80°) – cos(20°)sin(80°)

∵ sin(A-B) = sinA.cosB – cosA.sinB

∴ sin(20°-80°)

So, sin(-60°)

Learn more about Trigonometric functions

https://brainly.com/question/6904750

#SPJ2

-1 1/5 * 6      -1 5/6 * 5

-1 6/30    divided by     -1 25/30

-4/30

i think thats the answer sorry if im wrong :(

Answer:C

Step-by-step explanation:

Answer:

M= the slope or the gradient

B= the y-intercept

y= the output value

x= the input value

Step-by-step explanation:

Answer:

m = 2

b = 8

y = 2x+8

The relation that is an inverse variation is the one in the first table:

x 2 4 6 8

f(x) 12 6 4 3

An inverse variation between two variables x and y can be written as follows:

y = k/x

Where k is a constant.

Notice that x is on the denominator, so, as x increases, the value of y decreases.

Now, for example if we use the values of the first table:

x 2 4 6 8

f(x) 12 6 4 3

The first pair is (2, 12)

Replacing that in the inverse variation formula we get:

12 = k/2

12*2 = k

24 = k

For the second pair (4, 6) we will get:

6 = k/4

6*4 = k

24 = k

And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).

So this is the correct answer.

Learn more about inverse variations:

https://brainly.com/question/13998680

#SPJ1

Answer: I think is 420 miles in 7 hours

hope this helps :D

Step-by-step explanation:

Answer:

A train would cover 180 miles in 3 hours, So in 6 hours it will cover 360 miles, in 7 hours it will cover 420 miles.

Step-by-step explanation:

150 miles → 2 1/2 hours = 150 minutes

x miles     → 3 hours = 180 minutes

(150 × 180) ÷ 150 = x miles

27,000 ÷ 150 = x miles

180 = x miles

Answer:

700.7

Step-by-step explanation:

You're looking for distance. So all you have to do is  18.2 x 28.5 and you'll get your answer.

Hope this helps. :)

The distance travelled 700.7 feet

given:

speed= 18.2 ft/ sec

time= 38.5 sec

So,

speed= Distance/ time

distance= speed * time

             = 18.2 * 38.5

             = 700.7 feet

Learn more about speed here:

https://brainly.com/question/1417996

#SPJ2

Answer:

‒3

Step-by-step explanation:

2b/3‒5=3

2b=3(3‒5)

2b=3(‒2)

2b=‒6

2b/2=‒6/2

b=‒3

you can proof as the following(by replace ‒3)

2(‒3)/3‒5=3

‒6/‒2=3

3=3

i hope it helps you

First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.

the first one:

the angle P =90⁰

the angle Q=90⁰

So you do the deduction:

360⁰-90⁰-90⁰-65⁰= 115⁰

the second one:

the angle F=60⁰

so you do the same thing as number one:

360⁰-60⁰-60⁰= 240⁰

240⁰/2= 120⁰

Voilà!

Answer:

D

Step-by-step explanation:

Answer:

-28.08 degrees celsius

Answer:The Answer is Answer is B

Answer:

XZ=41

Step-by-step explanation:

I'm pretty sure all you do is add 17 to 24

Answer:

Step-by-step explanation: first multiply 6x1 and 6x2k on the right= -6k-24>=6-12k

Then add 12k to both sides. (positive) 6k-24>=6 Then add 24 to both sides.

6k>=30  Divide. 6/6 and 30/6 and your answer is 5