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1 year ago

Select all of the scales that are equivalent to 3 cm to 4 km.

1 answer:

6 0

In mathematics, a scale can be described in charts as a marking system at predefined times, which determines the relationship between the units that are being used and their images on the graph, and the further calculation can be defined as follows:

Since in this question, the ratio is between 3 cm to 4 km you can make a $\bold{\frac{3}{4}=\frac{cm}{km}}$ split, and if you are split between 3 and 4, you get the ratio between $\bold{\frac{\frac{3}{4 \ cm}}{1\ km} = \frac{3\ cm}{ 4\ km}}$ .

$\bold{\to \frac{3 }{ 4}= 0.75}$

Therefore the final answer is "0.75 cm to 1 km"

Learn more:

brainly.com/question/15285394

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A ladder 10 m long,leans against a vertical wall at an angle of 70° to the ground.if the ladder slips down the wall 4m,find,corr

lina2011 [118]

Answer:

(a) the new angle the ladder makes with the ground is $32.7^o$

(b) the ladder slipped back about 5 meters

Step-by-step explanation:

Notice that the ladder doesn't change its length in the process.

So let's start from the initial situation , finding the distance from the ground at which the ladder touches the wall when the angle with the ground is 70^o. Notice that this situation is represented by a right angle triangle with the right angle between the wall and the ground (see attached image), and that we can use the sine function to find the side opposite to the 70 degree angle:

$sin(70^o)=\frac{opposite}{hypotenuse} \\sin(70^o)=\frac{h}{10}\\h=10\, sin(70^o) \approx 9.4 \,\,m$

therefore 9.4 meters is approximately the height at which the ladder touches the wall initially.

Now, if the tip of the ladder goes down the wall 4 meters, it is now at 9.4 m - 4 m = 5.4 m from the ground. We can therefore use again the sine function to solve for the new angle:

$sin(x)=\frac{opposite}{hypotenuse} \\sin(x)=\frac{5.4}{10} \\sin(x)=0.54\\x=arcsin(0.54)\\x= 32.7^o$

To answer the second question we need to find the original distance from the wall that the bottom of the ladder was originally, and for that we can use the cosine function:

$cos(70^o)=\frac{adjacent}{hypotenuse} \\cos(70^o)=\frac{x}{10}\\x=10\,cos(70^o)\\x\approx 3.4 \,\,m$

Now fro the new position of the bottom of the ladder relative to the wall:

$cos(32.7^o)=\frac{adjacent}{10} \\adjacent=10\,cos(32.7^o)\\adjacent\approx 8.4\,\,m$

then the difference in between those two distances is what we need:

8.4 m - 3.4 m = 5 m

4 0

3 years ago

Tell whether the ordered pair (1,1) is a solution of the system of inequalities.

Dmitry [639]

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

<h3>A solution to the system of inequality</h3>

Given the following inequality expression

y>0

y< 2.5x - 1

Wee are to check if (1, 1) is a solution to the systen of equation

If x = 1

y < 2.5(1) - 1

Y < 2.5 - 1

y < 1.5

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

Learn more on inequality here: brainly.com/question/24372553

8 0

2 years ago

The letters that form the word ALGEBRA are placed in a bowl. What is the probability, as a percent, of choosing a letter other t

KonstantinChe [14]

It will be 2/42 you count out the letters in “ALGEBRA” and then you can the A’s which equal a fraction 2/7 then you subtract 1 from the numerator and the denominator which then equals 1/6. Then you multiply the fractions and get 2/42

8 0

3 years ago

Find f(6) if f(x) = x^{2} ÷ 3 + x.

Papessa [141]

6^2 is 36. / 3 makes 12. 12+6 is 18. final answer, most likely 18.

8 0

3 years ago

Graph the line that passes through the points ( 0 , − 4) and (−5,2) and determine the equation of the line.

Eduardwww [97]

Answer:

i am highly sorry but there is no graph for me to help you with on this site :(

but to help you the X line always comes first for example the (-5,2) the -5 would be on the X line. I really hope that this help. :)

7 0

3 years ago