Isaiah is jogging near his college. He runs south along Capitol Street for about 0. 75 miles and east along H Street for about 1. 2 miles. He then turns left and runs along Florida Avenue until he reaches his starting point. How long is his total run to the nearest hundredth of a mile? A triangle. The sides are Capitol Street, H Street, and they hypotenuse is Florida Avenue. 2. 89 miles 3. 37 miles 3. 67 miles 3. 92 miles.

Answers

Answer 1

Answer:

His total run is approximately 3.37 miles.

Step-by-step explanation:

Let F represents his starting point, C represents his position from where he went to east direction and H represents his position from where he went to left towards Florida Avenue.

Thus, according to the question,

FC = 0.75 miles,

CH = 1.2 miles,

By making the diagram,

∠FCH = 90°,

By Pythagoras theorem:

Hence, the total distance he covered = FC + CH + FH

= 0.75 + 1.2 + √2.0025

= 3.36509716981

≈ 3.37 miles.

Isaiah Is Jogging Near His College. He Runs South Along Capitol Street For About 0. 75 Miles And East

Related Questions

Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10. –10 < |3x – 5| < 10 3x – 5 > –10 or 3x – 5 < 10 3x – 5 < –10 or 3x – 5 > 10 –10 < 3x – 5 < 10.

Answers

The compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

What is magnitude and sign?

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

|x| = magnitude of x.

Thus, |3x-5| > 10 is true if (3x-5)  < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)

or (3x-5) > 10

(in case if (3x-5) is non-negative).

Thus, the compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

Learn more about compound inequalities here:

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Answer:

it’s C trust me

Step-by-step explanation:

Guys helpp!

Choose the first step to Graph The equation Y equals 3x +2

Answers

2 is the y-intercept so plot that on the graph

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. M³.

Answers

The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.

The area after the dilation.

Dilated area = (Dilation)² x base area

Dilated area = 32² x 3

Dilated area = 3072 m²

The height after the dilation.

Dilated area = Dilation x base area

Dilated area = 32 x 4

Dilated area = 128 m

The volume of the dilated prism.

Volume = 3072 x 128

Volume = 393216 m³

The volume of the dilated prism is 393,216 m³.

More about the dilation link is given below.

https://brainly.com/question/8652140

Answer:

40.5

Step-by-step explanation:

The person who commented on the first answer is correct. I took the quiz.

:)

HELP!! DUE TODAY!!!! 10 Points.

Answers

Answer:

Tyra can make 54 batches of cookies

sorry if I'm wrong

Step-by-step explanation:

Find the area of a rectangle with sides of x – 1 and x.

Answers

Answer:

A = x² - x

Step-by-step explanation:

Find the area of a rectangle with sides of x – 1 and x.

A = w × l

A = x-1 × x

A = x² - x

Please can anyone help me it's ur thinking

Answers

Answer:

Step-by-step explanation:

We simplify 16x - 12 - 24x + 4 as -8x - 8

1. 4+16x - 12(1+2x)
Break the bracket out, we get : 4+16x-12+24x
Simplify : -8 + 40x, not equivalent to -8x - 8.

2. 40x - 16

Divide this by 5, we get : 8x - 3.2 = -8x + 3.2 (not equivalent also.)

3. 16x - 24x - 4 + 12
Simplify : -8x + 8 (also not equivalent)

4. -8x-8
It's literally the same as the simplified form of the expression.

So, only the fourth expression is equivalent to the original one.

Tell how much each person gets when they share equally.


3 friends share 5 pounds of trail mix.

Answers

Answer:

1.7 pounds each friend gets

Step-by-step explanation:

[tex]3 \: friends \: share \: 5 \: pounds \: of \: trail \: mix \\ 5 \: pound \: \div 3 \\ = 1.66666666666 \\ approximately \\ = 1.7(to \: 1 \: decimal \: place[/tex]

An armchair was purchased for a cost price of $380 and marked up to a retail price. It was then
discounted by 10% to a sale price of $427.50 . What is the percentage mark-up from the cost price
to the retail price?

Answers

Answer:

17.764% up

Step-by-step explanation:

i hope this helped

The required percentage markup from the cost price to the retail price is 1.25%.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
An armchair was then discounted by 10% to a sale price of $427.50.
Cost of armchair then = 427.50 - 10% × 427.50
The cost of the armchair then = $384.75.

Now, the cost of the armchair is given  $380.
Percentage mark up is given as = 387.75 - 380 / 380 × 100% = 1.25%

Thus, the required percentage markup from the cost price to the retail price is 1.25%.

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I need help please , help me :(((

Answers

101101110101010101100101010101010101010101010101010101010101010101-01010101010101010101011001010101010110

nah

Can u help me plssss?

Answers

Answer:

You need to find the area of this shape. You will split the shape into 2 the big rectangle and the small one sticking out of the bottom.

For the first shape, it is 11 x 3 = 33

For the second one, it is 2 x 3 = 6

33 + 6 is 39, so the area is 39

Baruti, a ranger in Kruger National Park in South Africa, collected data about the elephant population in the park. She compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatter plot. A line was fit to the data to model the relationship.

10
10
20
20
30
30
40
40
50
50
40
40
80
80
120
120
160
160
200
200
240
240
280
280
320
320Shoulder height (cm)Foot length (cm)
Which of these linear equations best describes the given model?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
y
^
=
6
x

20
y
^

=6x−20y, with, hat, on top, equals, 6, x, minus, 20

(Choice B)
B
y
^
=
6
x
+
20
y
^

=6x+20y, with, hat, on top, equals, 6, x, plus, 20

(Choice C)
C
y
^
=
3
2
x

20
y
^

=
2
3

x−

Answers

The linear function that best represents the relationship between the foot lengths of the elephants and their shoulder height is given as follows:

y = 5.71x - 5.65.

How to obtain the linear function?

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients of the function are defined as follows:

m is the slope, representing the rate of change of the output y relative to the input x.b is the y-intercept, representing the numeric value of y when x = 0.

From the image given at the end of the answer, two points of the line are given as follows:

(15, 80) and (50, 280).

Given two points, the slope is obtained as the change in y divided by the change in x, hence:

m = (280 - 80)/(50 - 15) = 5.71.

Hence:

y = 5.71x + b.

When x = 15, y = 80, hence the intercept b is obtained as follows:

80 = 5.71(15) + b

b = 80 - 5.71(15)

b = -5.65.

Hence the equation is given as follows:

y = 5.71x - 5.65.

Missing Information

The graph is given by the image shown at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

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The difference of 16 and a number, divided by 2

Answers

Answer:

8

Step-by-step explanation:

Answer:

16 - x ÷ 2(16 - x) ÷ 216 - (x ÷ 2).

Step-by-step explanation:

Difference meaning (Math):

Subtracting 2 numbers.

If that's the meaning, equation should be:

16 - x ÷ 2.

Remember:

Parenthesis are sometimes required.(16 - x) ÷ 216 - (x ÷ 2).

CAN SOMEONE PLEASE HELP

Answers

4 is the right answer

i think the right answer is 4

The points (0,5) and (1.8) fall on a particular line. What is its equation in slope intercept form?

Answers

y = mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Six gallons of water splashed out of the wading pool when Santa jumped in. Five gallons splashed out when Mrs. Claus jumped in beside Santa. What number should be added to the original amount in the pool to find how many gallons are left?​

Answers

Answer:

x + (-11)

Step-by-step explanation:

so you lost the 6 gallons and 5 gallons. so to find the original amount (I will use x). you need to subtract it from the amount. but since you are being asked to add. you use a negative

x + (-6) + - (5)

or you can combine

x + (-11)

it is equivalent to

x - 11

6 more than the square of r is same as 33 .

Answers

Answer:

r^2+6=33

Step-by-step explanation:

The square of r means r^2 and 6 more means +6, so r^2+6=33

After lunch.my family has 1/8 of a pizza left. If I took half of the leftovers for my snack, what fractional part of the pizza is left?

Answers

Answer:

-0.875 that is the answer

Step-by-step explanation:

(1/8)-1=-0.875 that's the answer

help solve please i will mark as brainliest

Answers

Answer:

4736 feet

(48×32/2)×2

(40×40)×2

19. Write an equation to represent the relationship
between x, the independent variable and y, the
dependent variable I need the equation

Answers

Answer:

  y = x +3

Step-by-step explanation:

When you examine the table, you see that each y-value is 3 more than the corresponding x-value. This is represented in the equation ...

  y = x +3

Find the difference (6x^3-5x^2+14x+3) — (3x^3–2x^2+7x—2)

Answers

3x ^3 −3x ^2 +7x+5 this should be correct

What is the value of 1500 ÷ (62 + 4 ) · 37

Answers

Answer: 27750/31

Step-by-step explanation:

We first solve for what's in the parenthesis.

= 1500/66*37

Next we do division.

= 750/31*37

Lastly we do multiplication.

= 27750/31

Answer:

0.61425061425

Rounded: 0.61

Step-by-step explanation:

Following PEMDAS

(62+4)=66

66 times 37= 2442

1500 divided by 2442

Help!!! A business can manufacture 50 unicycles a week and sell all of them for $200 each. The owner is considering increasing the price of the unicycles, but she knows that it will decrease sales. She uses this equation to estimate how much in dollars, y, she will make if she raises the price by x dollars:

y=10,000+50x−x^2
If she wants to make $10,6000, what is the least amount she can raise the price of each unicycle?

Answers

Answer:  20 dollars

=====================================================

Explanation:

I'm assuming you meant to write $10,600 instead of $10,6000.

We'll replace y with this value and solve for x.

[tex]y=10,000+50x-x^2\\\\10,600=10,000+50x-x^2\\\\0=10,000+50x-x^2-10,600\\\\-x^2+50x-600 = 0[/tex]

Use the quadratic formula with a = -1, b = 50, c = -600

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-50\pm\sqrt{(50)^2-4(-1)(-600)}}{2(-1)}\\\\x = \frac{-50\pm\sqrt{100}}{-2}\\\\x = \frac{-50\pm10}{-2}\\\\x = \frac{-50+10}{-2} \ \text{ or } \ x = \frac{-50-10}{-2}\\\\x = \frac{-40}{-2} \ \text{ or } \ x = \frac{-60}{-2}\\\\x = 20 \ \text{ or } \ x = 30\\\\[/tex]

We go for the smaller x value because the question asks "what is the least amount she can raise the price?".

If she raises the price by $20, then she would estimate to make about $10,600.

What is the solution to the system of equations?

y=2x-7
y=-x+5

Answers

Answer:

(4, 1 )

Step-by-step explanation:

y = 2x - 7 → (1)

y = - x + 5 → (2)

substitute y = 2x - 7 into (2)

2x - 7 = - x + 5 ( add x to both sides )

3x - 7 = 5 ( add 7 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

substitute x = 4 into either of the 2 equations

substituting into (2)

y = - 4 + 5 = 1

solution is (4, 1 )

Which is the correct formula to find the area of triangle AED?
area of a triangle = 1/2 • CD • AE
area of a triangle = 1/2 • AE • DE
area of a triangle = 1/2 • CE • AE
area of a triangle AED = AE • AE

Please help! I will reward brainliest for the right answer ^^

Answers

Answer:

area of ΔAED = 1/2 · AE · DE

Step-by-step explanation:

Area of a triangle = 1/2 x height x base

From inspection of the diagram for triangle AED:

height = AEbase = DE

Therefore, area of ΔAED = 1/2 · AE · DE

The table shows the prices for Two packs of batteries which park is better buy explain your reasoning

Answers

Answer:

A=0.61:1 B=0.65

Step-by-step explanation:

B is the better deal.

Howard slept from 9 PM until 6 AM the next morning how many minutes did he sleep

Answers

Answer:

540min

Step-by-step explanation:

he slept for 9 houres so convert that to minutes.

‘ 540 minutes .
Convert the 9 hours into minutes .

How to solve?somebody help and explain

Answers

Solve all or some of the answers

Jake wants the profile of a hotel he is planning to be a right triangle with the dimensions shown. The city prohibits structures over 100 ft at the location where he would like to build. Can the hotel be located there? Explain

Answers

The height of the building is 96 ft., hence the building can be located there.

Sine rule

Sine rule is used to show the relationship between the sides and angles of a triangle it is given by:

a / sin(A) = b / sin(B) = c / sin(C)

A, B, C are the angles and a, b, c are the sides opposite the respective angles.

Let A represent the angle opposite side 120 ft., hence:

120/sin(A) = 200/sin(90)

A = 36.9°

Let h represent the height of the building, hence:

h / sin(36.9) = 160 / sin(90)

h = 96 feet

The height of the building is 96 ft., hence the building can be located there.

Find out more on Sine rule at:https://brainly.com/question/4372174

f(x) = 2x
g(x) = 8a
Find (f.g)(x). Assume x 20.
A. (fºg)(x) = 8x
B. (fºg)(x) = V10x
V
C. (fºg)(x) = 412
O D. (f.g)(x) = 4x

Answers

Answer:

whats the exact question screen shot it but i think *{{76 you have to {{ it since its a ombre

Step-by-step explanation:

The radius of a circle is 1 mile. What is the circle's circumference? r=1 mi Use 3.14 forn. ​

Answers

Answer:6.28 miles

Step-by-step explanation:

The circumference of a circle = 2*pi*radius

= 2*1 mile* 3.14

= 6.28 miles

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