Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h

Answers

Answer 1

Answer:

the value of h is √676km

Step-by-step explanation:

The computation of the value of h is shown below

Here we apply the Pythagoreus theorem

= 24^2 + 10^2

= 576 + 100

= √676

Hence, the value of h is √676km

We simply determine by using the Pythagoreus theorem


Related Questions

Find the area of the composite figure.

A. 51 m2

B. 81 m2

C. 102 m2

D. 420 m2

Answers

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45

Answers

Answer:

c

Step-by-step explanation:

20w=4w*5w

45WT=5WT*9WT

What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37

Answers

29
Step 1: Add the two middle numbers (28+30)
Step 2: Divide the sum by 2 (58/2=29)

Answer: 27.9

Step-by-step explanation:

Add all the numbers together and divide it by how many number there is so

all the numbers added together is 279

there are 10 numbers there so you divide 279 by 10 and it gives you 27.9

Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.

1. f and g open in the same direction.

2. f and g intersect twice.

3. f and g have the same axis of symmetry.

4. f and g have the same vertex.

5. g is wider than f.

Answers

Answer:

Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!

find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees

Answers

80.5 that’s the answer yep yep

3√x^2
I need to write this as a fractional exponent.​

Answers

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

A sample in a laboratory starts with 8 bacteria. The bacteria grow at a rate of 3.2% every hour. How many hours until the sample has grown to 140,000
bacteria? (Round to the nearest whole number)
A 46
B 3
C) 305
D 133

Answers

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

20 POINTS! Please help!

Find the value of x. Round to the
nearest tenth.

x = [?]

Answers

Answer:

4 hope it helps you better

how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above

Answers

A i’m pretty sure lmk if it’s right

The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?

Answers

Answer:

8 percent

Step-by-step explanation:

2.4/30 = 0.08 or 8%

Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost

Answers

Answer:

Total cost = $4.08

Step-by-step explanation:

Given the following data;

Selling price = $3.4

Shipping and handling fee = 20%

To find the total cost;

First of all, we would determine the extra fee;

Extra fee = 20/100 * 3.4

Extra fee = 68/100

Extra fee = $0.68

Now, we can solve for the total cost using the formula below;

Total cost = selling price + extra fee

Total cost = 3.4 + 0.68

Total cost = $4.08

need help will give brainliest​

Answers

area is base x height
8cm is the base , 8 cm is the height
8x8=64cm

X=
Y=
The polygons to the right are similar. Find the value of each variable

Answers

Answer:

y = 7

x = 24

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

For the bigger triangle we have a total 48; so for the smaller we have x

For the bigger, we have 14, so for the smaller, we have y

Mathematically;

25/x = 50/48

x * 50 = 25 * 48

x = (25 * 48)/50

x = 24

For y;

25/y = 50/14

y = (25 * 14)/50

y = 7

A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?

Answers

Answer:

V=lbh=2.4×3×6=43.2cm^3

GIVEN

We are given a candy batband we are given its dimensions

height = 2.4cmwidth= 3cmlength= 6cm

TO FIND

We need to find it's volume

Volume of a cuboid is given by l×b×h

SOLUTION

Volume = length × breadth × height

Volume = 2.4 × 3 ×6

Volume = 43.2 cm^3

i need help with this question

Answers

Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?

Answers

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

what % of 25 = 5
Please hurry​

Answers

5 is what percent of 25? = 20

Write the name of each decimal place indicated (pls don't troll I'm failing I'll give brainliest)

Answers

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

Suppose you want to put trim around the floor of a rectangular room.
The room is 7 by 11 feet. If a foot of trim costs $6, how much will the
trim cost altogether?

Answers

Answer: $108
Explanation: 7x6 = $42 + 11x6 = $66
It would be 4 sides not 2.
7+7 = 14
11+11 = 22
14 x 6 = 84
22 x 6 = 132
132 + 84 = 216
The trim costs $216

6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

I a) Yes
b) No

Answers

Answer:

No

Step-by-step explanation:

the sum of the two shorter sides must be greater than the longer side

(not even if it is equal to, as in this case)

Here are some formulas to see if 3 sides can make a triangle...

[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]

So a=3

b=5 and c=8

3+5=8

So no it can't.

Which statement is true about the prime polynomial 2x2 + 3x + 3?
ОО
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?

Answers

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

What is a positive data set on a graph?

Answers

Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold

What fraction of the players sold between 8 and 16 popcorn tins?

Answers

Answer:

1/2 percent

Step-by-step explanation:

If you look at the box, the middle number is 12 or since its the middle "1/2"

so the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

We have given that,

The players sold between 8 and 16 popcorn tins,

If you look at the box, the middle number is 12, or since it's the middle 1/2.

What is the fraction?

Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.

So the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

To learn more about fractions visit:

https://brainly.com/question/78672

#SPJ2

Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?

A 0.21%

B 21%

C 22%

D 27%

Answers

Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%

Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?

Answers

Answer:

          At (5, -4)

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]

The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?

Answers

Width is x - 3

A
=
x
2
+
6
x

27
=
(
x
+
9
)
(
x

3
)

the width is x - 3

~iwa-chan

whats the permiter and area of this triangle will mark brainleist?

Answers

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.

Answers

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

Sketch of the ship's motion

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

Displacement of the ship

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

Direction of the displacement

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

Learn more about displacement here: https://brainly.com/question/2109763

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