Answer:
<em>The scale factor is 1:125</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which consists of multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.
On a scale drawing, a distance of 5 meters = 500 cm is represented by 4 centimeters. The scale factor is usually represented as a ratio of the smallest to the biggest magnitude:
The scale factor is 1:125
This is the easiest way to solve this problem:
Imagine this represents how many combinations you can have for each of the 4 wheels (each blank spot for one wheel): __ __ __ __
For the first situation it says how many combos can we make if no digits are repeated.
We have 10 digits to use for the first wheel so put a 10 in the first slot
10 __ __ __
Since no digit can be repeated we only have 9 options for the second slot
10 9_ __ __
Same for the third slot, so only 8 options
<u>10</u> <u> 9 </u> <u> 8 </u> __
4th can't be repeated so only 7 options left
<u>10</u> <u> 9 </u> <u> 8 </u> <u> 7
</u><u>
</u>Multiply the four numbers together: 10*9*8*7 = 5040 combinations
For the next two do the same process as the one above.
If digits can be repeated? You have ten options for every wheel so it would look like this: <u>10</u> <u>10</u> <u>10</u> <u>10
</u>
10*10*10*10 = 10,000 combinations
If successive digits bust be different?
We have 10 for the first wheel, but second wheel only has 9 options because 2nd number can't be same as first. The third and fourth wheels also has 9 options for the same reason.
<u>10</u> <u> 9</u><u> </u> <u> 9 </u> <u> 9 </u>
10*9*9*9 = 7290 combinations
Answer:
39.82
Step-by-step explanation:
to find the entire area of the figure, you'll have to split it up into two parts:
a. triangle
b. semi-circle
therefore, the formula for the area of a triangle is 1/2(base)(height). in simpler terms, it means to multiply 1/2 by the base and the height. in this case, multiply 1/2 x 5 x 12, which gives you 60/2, which ultimately gives you 30.
to find the area of the semi circle, use the area formula for a circle and divide the area by 2. the formula is: π
. so, plug in your lengths. this gives you, π(5)^2. divide this by two. you should get an answer of 9.82
finally, add your two areas (30+9.82), which equals 39.82
hope this helps!<3
No, while the difference represents the absolute magnitude of two numbers . . . for example . . .
The difference between 5 and 2 is . . . 3
The difference between 6.4 and 9.5 is . . . 3.1
. . . there is still the chance that the difference may be zero . . . in which case the difference is neither positive nor negative
. . . so in short . . . the answer is . . . <span>NO</span>
<h3>
Answer: 35.54 degrees</h3>
How I got this answer:
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 5/7
A = arctan(5/7) .... apply the inverse tangent, same as arctangent
A = 35.5376778 ... make sure your calculator is in degree mode
A = 35.54 .... rounding to two decimal places
