Grayson ran 2 1/2 miles around the track .each lap is 5/6 of a mile .how many laps did Grayson run?

Answer:

A) 3/56 + 27/56 = 30/56 ÷ 2/2 = 15/28

Step-by-step explanation:

So, there's 3/56 cities that have a lake and 27/56 cities that have a river.

Since the question is asking how much have a lake or river, we add them up.

3/56 + 27/56 = 30/56

(Divide by 2 since that's the common factor)

30/56 ÷ 2/2 = 15/28

Answer:

164.93 I believe is the answer

Step-by-step explanation:

the rate of change in A

10-5/4.5-3 .5

=5.

but where is the function B??

just pick two y values and it's corresponding x values

the rate of change is equal to the gradient .

change in y values divided by change in the x values.

Hi there!

Your job, at least on this triangle, is pretty simple. This is a 45-45-90 triangle.

Because this is a 45-45-90 triangle, both legs are 5. That leaves us to find the hypotenuse, x.

And a 45-45-90 triangle's hypotenuse is easy. You just take the measure of one of the legs, or 5 in this case, and stick a [tex]\sqrt{2\\}[/tex] right next to it. So your answer will be:

[tex]5\sqrt{2}[/tex]

I hope this helps! :)

Answer:

The function is;

f(x) = $3,250

Step-by-step explanation:

The fixed amount the consultant receives each month = $3,250

The number of hours the consultant works each month = x

Let f(x) represent the function of the total amount the consultant receives each month

Therefore;

The function f(x) = The total amount the consultant receives each month = The fixed amount the consultant receives = $3,250

∴ f(x) = $3,250.

The function 'f' which represents the total amount the consultant receives each month is f(x) = $3,250 (Given that the consultant receives a constant amount each month).

Answer:

68.2

Step-by-step explanation:

You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).

5^2+x^2=14^2

25+x^2=196

x^2=196-25=171

x=13.0 (rounded)

Next, use one of sin or tan to find the missing angle.

Sin0=opposite/hypotenuse

Sin0=13/14

0=sin^-1(13/14)

0=68.213 (rounded)

The value of the angle asked is 69°.

Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,

We need to find the angle θ which is between the base and the hypotenuse,

To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.

Therefore, we can use the following formula:

cos(θ) = adjacent/hypotenuse

Plugging in the values we know:

cos(θ) = 5/14

To find the angle θ, we need to take the inverse cosine (arccos) of both sides:

θ = arccos(5/14)

θ = 69°

Hence the value of the angle asked is 69°.

Learn more about trigonometric function click;

https://brainly.com/question/25618616

#SPJ4

Answer:

A) which graph represents the equation x^2 + y^2 = 2.25?

First, the general equation for a circle can be written as:

(x - a)^2 + (y - b)^2 = R^2

This is a circle of radius R centered in the point (a, b).

Then we can rewrite our equation as:

(x - 0)^2 + (y - 0)^2 = (√2.25)^2 = (1.5)^2

Then we have a circle centered at the point (0, 0) and with a radius equal to 1.5

Then we can see that the correct one is graph C.

b) Now we want to solve the system:

x^2 + y^2 = 2.25

y - x = 1

graphically.

To do it we need to graph both equations and see in which points do they intersect.

We already have the first equation graphed, so we only need to also graph the linear equation:

y - x = 1

y = 1 + x

An example of this can be seen in the graph below:

There we can estimate one of the intersections as (0.4, 1.4) and the other as (-1.4, -0.4)

Step-by-step explanation:

(x+1) (x+4)

x * x make x^2

1 & 4 when multiplied make 4 and when added make 5

Answer:

22

Step-by-step explanation:

double negative is a plus sign

13--9=22

Answer: 22

Step-by-step explanation:

Here, we need to know the concept of changing signs. Under any circumstances, if there is a "-" sign outside of parenthesis, the signs inside need to be the opposite. If you are still not very clear, I can provide some examples below:

-------------------------------------------------------

Given

13 - (-9)

⇒There is a "-" sign outside

⇒We need to convert the sign inside "-" to "+"

⇒13+9

⇒22

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex] \sqrt{ {2}^{2} + {6}^{2} } = \sqrt{40 } = 2 \sqrt{10} [/tex]

Answer:

What image? (9/ -0) Is 9 - 8 =1

Step-by-step explanation:

Answer:

you dont have the image of the graph.

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

The way you solve this is you transform it until one side of the equation is just "y"

3y + 2 = 8   ;    subtract 2 from both sides

3y = 6   ;     divide both sides by 3

y = 2

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

           = [tex]\frac{x}{d}[/tex]

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is [tex]30^{o}[/tex], and the height of the tree is 10 m, then the distance, d, across the river would be;

d = [tex]\frac{10}{0.5774}[/tex]

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

Answer:

2nd and 5th one are correct. Rest of them r wrong

Step-by-step explanation:

Answer:

I think Rose isn't correct.

Answer:

Rosa is incorrect because if we substitute b, for the number 4. The answer is not equal to 10.

Step-by-step explanation:

(3+9b)-2b=10

(3+9*4)-2*4=10

(3+36)-8=10

39-8=10

31=10

It is incorrect because the numbers are not the same.

Answer:

(-1, 4)

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation:

Answer:

A. Line r intersects line p

Step-by-step explanation:

to find the second graph multiply the slope of line p by -10

slope is 1/5 or 0.2

So,

0.2 * -10 = -2

slope of second line is -2

Graph shown

Altered line shown in blue

Line p shown in green

As you can see, they intersect and meet no other answers

Answer:30000 just 5000+  six time

Answer:

never, never, sometime, sometimes, and always.

Step-by-step explanation:

I'm smart lol

Answer:

25d > 70

Step-by-step explanation:

Abby wants to ride her bicycle more than 70 miles this week.

More than = >

On Monday, Abby rode her bicycle for 25 miles. Abby plants to ride the same number of miles in the next six days.

Let the number of days of week she would ride her bike = d

On Monday = 25 miles

And the rest of the week = The same = 25 miles

The inequality is written as:

25d > 70

Answer:

bro what is even happening here

so confused but okay

Answer:

∠ LHJ = 10°

Step-by-step explanation:

Consecutive angles in a parallelogram sum to 180°

Then

∠ KLH + ∠ LHJ = 180°

170° + ∠ LHJ = 180° ( subtract 170° from both sides )

∠ LHJ = 10°

12 books divided by 8 months = 1.5 books per month

hope it helps:))

Answer:

9

Step-by-step explanation:

radius is half of the diameter

Answer:

B

Step-by-step explanation:

24 miles / 4 hours  = 6 miles per hour

.

and answer B is showing a graph with slope of 6 miles per hour

Answer:

32pi ftsquared or

100.48ft squared (multiplied by 3.14)

Step-by-step explanation:

a = piR^2

Answer:

the pitch of the sound

Step-by-step explanation:

because the speed stays the same and the echo has the same variables so i believe it is the pitch

Answer:

y=mx+b

Step-by-step explanation:

the equation would be y= 3/4 + 3

the rise is 3

the run is 4

the line runs through 3 on the y intercept.

Step-by-step explanation: