Answer: The scale of a map is a ratio that represents the relationship between distances on the map and distances in the real world. For example, a scale of 1:20 000 means that 1 unit on the map represents 20 000 units in the real world.
In this case, we are given that the area of the forest on the first map is 50 cm² and the area of the forest on the second map is 8 cm². We can use the scale of the first map to find the scale of the second map.
Since the area of the forest on the first map is 50 cm² and the scale is 1:20 000, the area of the forest in the real world is 50 cm² * 20 000 = 1 000 000 cm².
Similarly, since the area of the forest on the second map is 8 cm², the area of the forest in the real world is 8 cm² * x, where x is the scale of the second map.
Setting these two expressions equal to each other, we get:
1 000 000 cm² = 8 cm² * x
Dividing both sides of the equation by 8 cm², we get:
x = 125 000
Therefore, the scale of the second map is 1:125 000.
Step-by-step explanation:
Maisy and Oliver converted some pounds (£) into euros (€) at two different shops. Maisy converted £40 into €47.20 at shop A. Oliver converted £83 into €96.28 at shop B. Byron converted some pounds at one of these shops and received €68.44. What is the smallest amount that he could have converted?
The smallest amount that Byron could have converted is £73.44.
What is exchange rate?An exchange rate is the rate at which one currency can be exchanged for another currency. It is the value of one country's currency against another country's currency. Exchange rates fluctuate based on supply and demand for a particular currency, as well as economic and political factors.
Exchange rates are typically quoted as the value of one currency in terms of another currency. For example, an exchange rate of 1.2 US dollars (USD) to 1 Euro (EUR) means that 1 EUR can be exchanged for 1.2 USD.
There are two types of exchange rates, Floating and Fixed exchange rate.
According to question :-
To determine the smallest amount that Byron could have converted, we can use the exchange rate from shop A, which is €47.20 for £40.
If we divide the amount of euros he received (€68.44) by the exchange rate (€47.20 for £40), we get:
€68.44 ÷ €47.20/£40 = £73.44
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is 32% greater then 0.23?
Answer:
yes
Step-by-step explanation:
32% is the same as 0.32
0.23 is the same as 23%
25 less than the sum of a number and 5 results in 15 what is the number
The number is 35.
What is an equation?
An equation is a statement of equality between two expressions. It uses the equal sign (=) to show that the expressions on either side of the sign have the same value.
For example 2x+3=5y-7z, and x+y=5 are examples of equations.
In solving your problem,
25 less than the sum of a number and 5 results in 15, can be written as an equation like this:
let x be the number we want to find.
x + 5 =15+25 (25 less than the sum of x+5)
x + 5 = 40
then
x=40-5
x=35
So the number is 35.
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Find the value of k so that the point (1,2) lies on the locus y²-2x-ky+5=0.
help!!
[tex]\sqrt{400-400}[/tex]
Thanks!!
have a nice day!
[tex] \huge \boxed{\mathfrak{ \: hi \: \: james}}[/tex]
[tex] \huge \mathcal{Answer}࿐[/tex]
[tex]\longmapsto \sqrt{400 - 400} [/tex]
[tex]\longmapsto\sqrt{0} [/tex]
[tex]\longmapsto0[/tex]
Answer:
[tex]\sqrt{400-400} =0[/tex]
Step-by-step explanation:
hope it helps...
thanks...
have a great day!!
HELP!!! I WILL GIVE YOU 24 POINTS!!!THINK SMaRTER| Sense or Nonsense? . Emilio and Julia used different ways to find ‡ + 4. Emilio used a rodel to find the quotient. Julia used a related multiplication equation to find the quotient. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.
Answer:
24
Step-by-step explanation:
24 it's could be ok. I think 24 is good.
Answer: I think it's nonsense??? Not quite sure...
Step-by-step explanation:
If someone could pls help me with this that would be great!!
A rectangular con lot of land is 0.4 kilometer long and 0.07 kilometer wide. What is its area in square kilometers?
Answer: 0.28 Km^2
Step-by-step explanation:
A= L x W
=0.4x0.7
=0.28
Solve the following system of equations.
5x - 4y= -16
2x+9y=-17
Answer:
Im kind of confused if I rewrite or find the y and x intercept to this equation but I hope this helps.
if you can please give me brainliest.
An object is placed at a certain distance on the principal axis of a concave mirror. The image is formed at a distance of 30cm from the mirror. Find the object distance if radius of curvature R=15cm.
Answer:
Object distance, u = -6 cm
Step-by-step explanation:
Given that,
The radius of curvature, R = 15 cm
The radius of the mirror, f = -7.5 cm
We need to find the object's distance from the mirror. The mirror's formula is used to find the object distance such that,
[tex]\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{f}-\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{(-7.5)}-\dfrac{1}{30}\\\\u=-6\ cm[/tex]
So, the object distance is 6 cm.
find the slope. please help
please help...
Https://brainly.com/question/23389243?answeringSource=feedPublic%2FhomePage%2F21
Answer:
the link doesn't work.....
Which properties are best used prove a quadrilateral is a square?
a) Adjacent sides are perpendicular.
b) Diagonals are congruent.
c) Diagnonals are congruent and perpendicular.
d) Opposite sides are parallel and congruent.
Answer:
a, b, c, & d
Step-by-step explanation:
Plz, help me with this question!
Answer:
Rectangle
Step-by-step explanation:
If the base is a square that means the cross-section can also be a square.
What value will make the equation true? Show your work or explain how you found your solution. - 2.1 - x = -1.5.
Answer:
The Answer is 0.6
Step-by-step explanation:
Another way to do it is (-2.1) - (-1.5)
A flagpole on level ground casts a shadow 13 meters long when the sun is 26° up from the horizon. How tall is the flagpole?
Answer:
x= 23780. 6. An airplane climbs at an angle of 18° with the ground. Find the ground distance the plane travels as it moves 2500 m through the air.' 2378m. 1. lighthouse .
Step-by-step explanation:
Answer:
Approximately 6.3405 feet
Step-by-step explanation:
Our trigonometric ratio will be tangent in this case, since we are working with the opposite and adjacent sides.
Our equation that we set up will end up being [tex]tan\theta=o/a[/tex]
[tex]tan(26)=x/13[/tex]
[tex]13tan(26)=x[/tex]
[tex]13(0.4877) = x[/tex]
[tex]x=6.3405[/tex]
A new surgery is successful 70% of the time , if the results of 8 such surgeries are randomly sampled, what is the probability that more than 5 of them are successful?
Answer:
P (x>5) = 0.5324014=0.523
Step-by-step explanation:
Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3
Number of surgeries= n= 8
Applying the binomial distribution
( p+q) ^n= nC x p^x . q^n-x
More than 5 means 6,7, and 8
( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3
=56* 0.16807*0.027
= 0.254121
( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2
= 28* 0.1177* 0.09
= 0.296604
( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1
= 8* 0.0824* 0.3
= 0.19776
( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0
= 1* 0.05765* 1
=0.05765
Adding the above all probabilities gives
P (x>5) = P (x=6) + P(x=7) + P(x=8)
= 0.296604+0.19776+0.05765
= 0.5324014
i need help with B) C) and D)
Please Help me!!!
Answer:
b is the right answer
Step-by-step explanation:
Use the picture of the circle below to find the area of the circle. Use 3.14 for π and show your work.
Answer:
254.34 in^2
Step-by-step explanation:
To calculate the Area of Circle is πr^2
r is the radius of the circle
In this problem, the diameter is given which is 18 in. To find the radius you have to divide the diameter by 2.
18/2 = 9 in is our radius
Area of Circle = π9^2
= 3.14*81
= 254.34 in^2
Match each object which the characteristics.
Answer:
Ray goes with horizon
Line goes with a broom handle
Parallel lines goes with rows of seats on a plane
Line segment goes with a sun ray
Point goes with cookie crumb
Perpendicular lines goes with the letter T
Step-by-step explanation:
Not sure how to explain it
help me pls!!! 8th grade math. it’s due today ;-;
ASAP
HELP JUST THE ANSWER
Answer:
40:15 simplified is, (i divided by 5) 8:3
Ratio is when you have a number to a number just put them together but put a colon between them to make it a ratio, thats all ;D. It's basically a fraction.
But you can also simplify ratios just like fractions because they are fractions!
Answer:
D. 8:3
Step-by-step explanation:
40/15
Simplify:
8/3
ANSWER SOON PLS Which of these sets of ordered pairs would define a line with a negative slope? A. (2, 3) and (7, 6) B. (2, 3) and (-4, -1) C. (5, 5) and (0, 1) D. (3, 6) and (5, 1)
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is nothing that tells me what to do. or what to solve for
Step-by-step explanation:
I think it's wrongly labelled
but lemme adjust it and get you back on track
this is a quadrilateral which angles sum upto 360°.
this hold when <D=84°,<N=74° <M=82 and <L=3x+20
84+74+82+3x+20=360
3x+260=360
3x=100
x=100/3
x=33. 3°
HELP
i been trying for a while and cant get it
The ordered pair for the function y = -(x/3) + 2 is (-3, 3), (0, 2), (3, 2) and (6, 0)
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the function:
y = -(x/3) + 2
At x = -3:
y = -((-3)/3) + 2 = 3
At x = 0:
y = -(0/3) + 2 = 2
At x = 3:
y = -(3/3) + 2 = 1
At x = 6:
y = -(6/3) + 2 = 0
The value of y when x = -3 is 3
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e:f =2:5 f:g=3:4 work out e:g in simpliest form
After a work out, the simplest form of e:g is 3:10.
What is a ratio?Ratio is an expression which shows the relationship between two numbers or variables. It can generally be expressed in two forms, viz; a:b or a/ b.
To work out the simplest form of e:g as required in the question,
e/ f = 2/ 5
2f = 5e ........... 1
f/g = 3/ 4
3g = 4f ........... 2
From equation 1,
f = 5e/2
substitute the value of f in equation 2
3g = 4(5e/2)
3g = 10e
Therefore, e:g is given as;
3/ 10 = e/ g
3:10 = e: g
Thus in its simplest form, e:g = 3:10
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Which undefined term can contain parallel lines?
line
plane
point
ray
A soft drink company is conducting research to select a new design for their can. A sample of 9 participants has been selected. Instead of a typical taste test with two different sodas, they give each participant the same soda twice. One drink is served in a predominantly red can, the other in a predominantly blue can. The order the two cans are used is chosen randomly. Participants are asked to rate each drink on a scale of 1 to 10. The mean difference between the rating of the red and blue can for the 9 participants is -0.56 with standard deviation 2.19. Researchers would like to determine whether or not the mean difference in ratings between the red and blue can is 0.
The p-value for this hypothesis test is 0.4676. Select the correct decision below.
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. Reject the alternative hypothesis.
d. Accept the null hypothesis.
Answer:
Option B
Step-by-step explanation:
The p value is greater than 0.05.
Hence there are not enough evidences to reject the null hypothesis.
Basically no effect is observed when p>0.05
Hence, the test results are statistically significant
Option B is correct
What is math trying to do with me?
seriously
:^
Answer:
1.
Y would equal to 449 after plugging in 12 for x
2.
Y would equal to 239 after plugging 7 in for x
Step-by-step explanation:
We just have to plug in the values give too us and find what y equals.
1.
y=42(12)-55
y=504-55
y=449
2.
y=42x-55
we just have to plug in 7 for x.
y=42(7)-55
42*7=294
y=294-55
y=239
y=-5 8x+5y=-17 substitution
[tex]8x+5y=-17[/tex] when y is -5
Substitute for y with given value:
[tex]8x+5(-5)=-17[/tex]
[tex]8x-25=-17[/tex]
Add 25 to both sides:
[tex]8x-25+25=-17+25[/tex]
[tex]8x=8[/tex]
Divide both sides by 8:
[tex]\dfrac{8x}{8} =\dfrac{8}{8}[/tex]
[tex]\fbox{x = 1}[/tex]