A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.

Answers

Answer 1

Answer:

8.75 km.

Step-by-step explanation:

You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].

Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:

[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.

However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.


Related Questions

3 quarts but in cups

Answers

Answer:

12 cups

Step-by-step explanation:

there are 4 cups in 1 quart.  You multiply both of them by 3 so there are 12 cups in 3 quarts

Answer:

12 cups

Step-by-step explanation:

1 quart = 4 cups

4*3 = 12

12 cups

brainliest??

Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.

Answers

Answer:

Equation of a line y = mx + c

m = slope

m = 2

Using point ( -4,3)

Equation of the line is

y - 3 = 2(x +4)

y - 3 = 2x + 8

y = 2x + 8 + 3

y = 2x + 11

Hope this helps.

Answer:

B. Y = 2x + 11

Step-by-step explanation:

Got it right on edg.

Which is the graph of the function f(x) = -√x

Answers

Answer:

1st Graph

Step-by-step explanation:

Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.

Find the area of a triangle that has a base of 6 foot in the height of 5 foot

Answers

Answer:

15 ft²

Step-by-step explanation:

Area of a Triangle Formula: 1/2bh

We are given b and h. Simply plug them in and calculate:

1/2(5)(6)

3(5)

15

Simplify (3^-2)^4

Arrows mean it’s a exponent .

A.) 1/3^2

B.) 3^8

C.) 3^2

D.) 1/3^8

Answers

Answer:

D

Step-by-step explanation:

Answer:

D)1/3^8

Step-by-step explanation:

(3^-2)^4

3^-8

1/3^8

3 raised to the power of 8

1/6561 or 1/3^8

2p+8=20-p what is the value of p??

Answers

Answer:

4

Step-by-step explanation:

3p+8=20

3p=12

p=4

Answer:p=4

Step-by-step explanation:

2p+8=-p+20

Step 2: Add p to both sides.

2p+8+p=-p+20+p

3p+8=20

Step 3: Subtract 8 from both sides.

3p+8-8=20-8

3p=12

Step 4: Divide both sides by 3.

3p/3=12/3

p=4

I, myself self am not too good at Sin, Con, and Tan so I could use some help on double-checking if this is correct??

Answers

Answer:

[tex] \tan(a) = \frac{28}{45} [/tex]

look from the tan A angle , the opposite is 28 and adjacent is 45

given that2025=
[tex] {3}^{k \times } {5}^{t} [/tex]
state the values of k and t​

Answers

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = [tex]3^{4}[/tex] × 5², that is

[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2

On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?

Answers

Answer:

Christian made $191.25 and Kenneth made $127.50 each.

Step-by-step explanation:

With each dog, you multiply how many dogs with the amount of cash they get each dog.

Christian: 15x12.75= $191.25

Kenneth: 10x12.75= $127.50

So you just multiply the amount of dogs with money :)

Aria and her children went into a bakery and will buy donuts and brownies. She must buy at least 6 donuts and brownies altogetherWrite an inequality that would represent the possible values for the number of donuts purchased, d, and the number of brownies purchased, b.

Answers

Answer:

Inequality for donuts and brownies is;

d ≥ 1 ≤ b

Step-by-step explanation:

We are told that aria will buy donuts and brownies.

We are also told that, number of donuts is d while number of brownies is b.

We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.

So the inequality will be;

d + b ≥ 6

Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b

Answer: d+b≥6 is the correct answer trust me

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27

Answers

Answer:

a: -3n+1

b:-5n-2

Step-by-step explanation:

a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)

b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.

Hope this helps :),

Lily


PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.


y 2x + 2

y 2x + 1

y < 2x

y 2

Answers

Answer:

the correct one is y < 2x

Step-by-step explanation:

Answer:

y  2x + 1 or B

Step-by-step explanation:

thats whats right on edge

Points $A(-1, -2)$ and $B(3, 2)$ are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of $\pi$.

Answers

Answer:

8 pi square units

Step-by-step explanation:

AB=V[3-(-1)]^2+[2-(-2)]^2=V16+16=V4^2*2=4V2

radius =4V2/2=2V2

Area=pi*(2V2)^2=8pi square units

Given the diagram below, what is cos(45") ?
A. 22
B.
C.
V2
D. 4,2

Answers

Square root of 2 divided by 2

Which equation is parallel to the line y=2x+6 and passes through the point (8,1)?
y = 2x+6

y = 2x-15

y = 2x+10

y = -2x-7

Answers

The answer is y = 2x - 15

The equation of a line is y = mx +c

m = slope

c = y intercept

From this equation y=2x+6

m = 2

Since the lines are parallel their gradients are also the same

Equation of the line using point (8,1) is

y - 1 = 2(x-8)

y - 1 = 2x - 16

y = 2x - 15

Hope this helps

Answer: y=2x-15

Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15

Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.

Answers

Answer:

280 ft2

Step-by-step explanation:

The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.

The area of one of these rectangles is:

[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]

Then, the area of the seven rectangles is:

[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]

So the lateral area of this prism is 280 ft2.

Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point (3, –5). b = What is the new equation written in slope-intercept form?

Answers

Answer:

y = 6x - 23

Step-by-step explanation:

Step 1: Write out known variables

y = 6x + b

Step 2: Find b

-5 = 6(3) + b

-5 = 18 + b

b = -23

Step 3: Write it all out

y = 6x - 23

And we have your equation!

Answer:

here is the answer from edge

Step-by-step explanation:

Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)

Answers

I think it’s D but I could be wrong

Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°

Answers

 

[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]

.

[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]

 

 

Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.​

Answers

Answer:

3234

4312

5390

Step-by-step explanation:

3x +4x + 5x = 12936

12x = 12936

Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?

One-tenth, Three-tenths, 0.9
0.9, Three-tenths, One-tenth
0.9, One-tenth, Three-tenths
Three-tenths, 0.9, One-tenth

Answers

A
If you put them all into decimal form you get .1, .3, .9

Answer:

Its A sorry im late

Can someone help me with the below question???

Answers

Answer:

so 2a+3b=±13

Step-by-step explanation:

4a²+9b²=97

ab=6

2a+3b=?

by using formula

(a+b)²=a²+b²+2ab

(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)

(2a+3b)²=4a²+9b²+12ab

putting values

(2a+3b)²=97+12(6)

(2a+3b)²=97+72

(2a+3b)²=169

taking square root on both sides

√(2a+3b)²=√169

2a+3b=±13

i hope it will help you

Answer:

2a+3b = 13

Step-by-step explanation:

Using this formula

[tex](x+y)^2 = x^2+y^2+2xy[/tex]

Where,

x = 2a and y = 3b

Putting in the above formula

=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]

Putting  4a²+9b² = 97 and ab = 6

=> (2a+3b)² = 97+12(6)

=> (2a+3b)² = 97+72

=> (2a+3b)² = 169

Taking sqrt on both sides

=> 2a+3b = 13

Find the volume of a prism that is 5 m long, 40 cm wide, and 2500 mm high.

Answers

Answer:

5.0 [tex]m^3[/tex]

Step-by-step explanation:

The volume of a rectangular  prism is given as:

V = L * W * H

where L = length

W = width

H = height

Put all the dimensions in the same unit, metre (m).

Length = 5 m

Width = 40 cm = 40 / 100 = 0.4 m

Height = 2500 mm = 2500/1000 = 2.5 m

The volume of the prism is:

V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]

Find the sum of 9c3d, 6c3d, and -7c2d2.

Answers

Answer 15c3d−7c2d2

Step-by-step explanation:

Write as an expression: Twice the square of the product of x and y

Answers

Answer:

2* (xy)^2

Step-by-step explanation:

First find the product of x and y

xy

The square it

(xy)^2

The twice it ( multiply by 2

2* (xy)^2

What is the product of 6x – y and 2x – y + 2?

Answers

Answer:

12x^2 - 8xy + y^2 + 12x - 2y

Step-by-step explanation:

Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2

Answers

Answer:

D

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

4 + 6 > 9

Yes, these lengths can form a triangle.

3 + 4 > 2

Yes, these lengths can form a triangle.

2 + 2 > 3

Yes, these lengths can form a triangle.

1 + 1 = 2

No, these lengths cannot form a triangle.

Answer:

D

Step-by-step explanation:

the formula is

a + b > c

a+ c > b

b+ c > a

The answer is D because

given lenght(D answer) A=1 , B=1, C=2

Thus, follow the formula.

a+b>c

1+1>2 ❌

a+c>b

1+2>1 ✅

b+c>a

1+2>1 ✅

we know that a+b>c is wrong, so, it cant form a triangle

Which point is in Quadrant IV?

Answers

Answer:

1,1 or -1,3

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

bottom right quadrant is IV


Here is a list of numbers.

13 27 81 21 43 48 23 39 45

From this list, write down

a) The even number.
48

b) The square number.
81

c) All the prime numbers.

Answers

Answer:

13,27,43,23,39.

i think these r the prime numbers

The prime numbers are:

13, 43, 23

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3

Answers

Answer: [tex]y \leq \frac{1}{2} x+3[/tex]

Step-by-step explanation:

If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.

First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.

You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.

3 - 1 = 2

0 - (-4) = 4

2/4 = 1/2

The new equation is:

[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]

Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]

Answer:

B

Step-by-step explanation:

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