the solutions are for: a. 118 with a remainder of 10, b. 169 with a remainder of 10.
What about others and what is remainder?
a. 2014 ÷ 17 = 118 with a remainder of 10
Check: 118 x 17 + 10 = 2014
b. 3716 / 22 = 169 with a remainder of 10
Check: 169 x 22 + 10 = 3716
c. 4 691 ÷ 13 = 361 with a remainder of 8
Check: 361 x 13 + 8 = 4691
d. 1 168 ÷ 16 = 73
Check: 73 x 16 = 1168
e. 9 603 / 27 = 355 with a remainder of 18
Check: 355 x 27 + 18 = 9603
f. 7 834 ÷ 19 = 411 with a remainder of 5
Check: 411 x 19 + 5 = 7834
g. 5 186 ÷ 21 = 247 with a remainder of 19
Check: 247 x 21 + 19 = 5186
h. 6 437 / 14 = 459 with a remainder of 1
Check: 459 x 14 + 1 = 6437
Therefore, the answers are:
a. 118 with a remainder of 10
b. 169 with a remainder of 10
c. 361 with a remainder of 8
d. 73
e. 355 with a remainder of 18
f. 411 with a remainder of 5
g. 247 with a remainder of 19
h. 459 with a remainder of 1
In arithmetic, the remainder is the amount left over after performing a division operation when one number is divided by another.
For example, when you divide 17 into 2014, you get 118 with a remainder of 10. This means that 17 goes into 2014 exactly 118 times, with 10 left over. The remainder is always less than the divisor and indicates how much is left after dividing the dividend as equally as possible by the divisor.
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The approximate length of the side adjacent to angle is .
Further explanation:
The cosine ratio can be expressed as,
Here, base is the length of the side adjacent to angle and hypotenuse id the longest side of the right angle triangle.
The length of side opposite to angle is perpendicular that is used for the sine ratio.
Step by step explanation:
Step 1:
The observed right angle from the given information is attached.
First determine the hypotenuse and the base of the triangle.
The side is adjacent to angle and the side is the hypotenuse of .
Therefore, the and .
Step 2:
Since, the cosine ratio is .
Now substitute the value and in the cosine ratio.
Therefore, the approximate length of the side adjacent to angle is .
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Trigonometry
Keywords: Distance, Pythagoras theorem, base, perpendicular, hypotenuse, right angle triangle, units, squares, sum, cosine ratio, adjacent side to angle, opposite side to angle.
B: {44, 13, 24, 12, 56}
Data set B has a greater spread because it has a greater range.
The range of the data set is defined as the difference between the maximum number of data to the minimum number of data. If the range is higher the dataset will have a greater spread.
Given dataset is:-
A: {38, 12, 23, 48, 55, 16, 18}
B: {44, 13, 24, 12, 56}
Range = Higher value - Lower value
The range for dataset A will be calculated as:-
Range of A: 55 - 12 = 43
The range for the dataset B will be calculated as:-
Range of B: 56 - 12 = 44
Therefore, dataset set B has a greater spread because it has a greater range.
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Answer: 37
Step-by-step explanation:
First, we need to find what h(-8) is. We can do this by substituting and simplifying the given function.
Given:
h(x) = x² - 5x +7
Substitute:
h(-8) = (-8)² - 5(-8) +7
Square and multiply:
h(-8) = 64 + 40 +7
Add:
h(-8) = 111
Next, we can find one-third of this. To do this, we will multiply.
Multiply:
(1/3) * 111 = 37