Level 5:
1 answer:
9514 1404 393
Answer:
C. 35.3 km
Step-by-step explanation:
From your knowledge of right triangles, you know that the hypotenuse is longer than the longest leg and shorter than the sum of the legs.
For this geometry, the distance of interest is longer than 32 km and shorter than 15+32 = 47 km. The only answer choice in the correct range is ...
35.3 km
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<em>10 meters.</em>
Step-by-step explanation:
To find the missing side of a right triangle, we can use the <u>Pythagorean theorem</u>.
The Pythagorean theorem is...
Please be sure to note that a and b will <em>always </em>be the length of the sides and c will <em>always </em>be the hypotenuse, or in this case the ramp.
Since we know the values of both of the sides we can plug this into the theorem.
Now we can solve.
Add.
Many people will make the mistake of thinking 100 is the final answer, but since c is squared we need to find the square root of 100.
c = 10
<em><u>The ramp is 10 meters.</u></em>
2) if it refers to the gray shaded boxes out of all the boxes, then count them 5 rows × 5 columns = 5×5 = 25
The total is 10 rows × 10 columns = 10×10 = 100
Fraction: 25/100 ->> divide both by 25 = 1/4
Decimal: 0.25
Ratio: 25 grey boxes: (100-25) white boxes
= 25:75 ->> divide both by 25 = 1:3
Percent: means "out of 100" so we know it's 25 out of 100 = 25%
3) 27 is 75% of what??
let's make x = what we don't know
Now cross-multiply: multiply top left with bottom right and make equal to the bottom left times the top right
27×100 = 75x
75x = 2700
75x/75 = 2700/75
x = 36
The total is 10 rows × 10 columns = 10×10 = 100
Fraction: 25/100 ->> divide both by 25 = 1/4
Decimal: 0.25
Ratio: 25 grey boxes: (100-25) white boxes
= 25:75 ->> divide both by 25 = 1:3
Percent: means "out of 100" so we know it's 25 out of 100 = 25%
3) 27 is 75% of what??
let's make x = what we don't know
Now cross-multiply: multiply top left with bottom right and make equal to the bottom left times the top right
27×100 = 75x
75x = 2700
75x/75 = 2700/75
x = 36