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vaieri [72.5K]
2 years ago
5

What do we call any ray, segment, or line that intersects an angle at its vertex and divides the angle into two equal parts?

Mathematics
1 answer:
Elis [28]2 years ago
8 0
The correct answer would be angle bisector
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The height of five soldiers included 60inches,67inches,65inches and 64inches,if the mean of the five soldiers is 65inches what i
Nadya [2.5K]

Answer:

The last guy's height is 69 inches

Step-by-step explanation:

mean=sum of all numbers/number of numbers

There are 5 numbers in the set which means that 65 is the sum of all five numbers divided by 5. To reverse that we multiply 65 by 5 to get the sum of all of the numbers.

65*5=325

325 is the sum of all of the numbers so to find the missing number you add up all of the known numbers in the set and find the difference between that sum and 325.

60+67+65+64=256

325-256=69

The missing guy's height is 69 inches.

3 0
3 years ago
The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits
Crazy boy [7]

Answer: The numbers are:

965

875

785

695

Step-by-step explanation:

We have a 3 digit number that can be written as:

a*100 + b*10 + c

Where a, b, and c are single-digit numbers.

a is the hundreds

b is the tens

c is the unit.

We know that:

"The sum of the tens digit and the hundreds digit of a number is three times the units digit."

a + b = 3*c

" 1/5 of the sum of all three digits is 1 less than the units digit."

(a + b + c)/5 = c - 1

Then we have the two conditions:

a + b = 3*c

(a + b + c)/5 = c - 1

From the first one, we can write:

(a + b)/3 = c

Replacing that in the other equation we get:

(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1

(4/3)*(a + b)/5 = (a/3 + b/3) - 1

(4/15)*(a + b) = (a + b)/3 - 1

(4/15)*(a + b) - (a + b)/3 = - 1

-(1/15)*(a + b) = -1

a  = 15 - b

Then we can give different values for b, and find the values of a and c, where a and c must be positive.

b = 9

a = 15 - 9 = 6

Then:

c = (9 + 6)/3 = 5

(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).

This number will be:

695.

if b = 8, then:

a = 15 - 8 = 7

and c = 5, same as before.

the number is 785.

If b = 7, then:

a = 15 - 7 = 8

The number is 875

if b = 6, then:

a = 15 - 6 = 9

The number is:

965

4 0
2 years ago
Let f(x)=2.912345x^2+3.131579x-0.099999
Rudiy27
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4)  * 100
Percentage error = |60 - 59.023837|/59.023837  * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
5 0
3 years ago
A rectangle is 2 4/5 M wide and 3 and 1/2 meters long what is its area
postnew [5]
2 4/5=14/5, 3 1/2=7/2
A=l*w
14/5*7/2=98/10
98/10=9 8/10, 9 4/5
A= 9 4/5

Answer: Its area is 9 4/5m^2
8 0
3 years ago
Read 2 more answers
Use the quadratic formula to find both solutions to the quadratic equation given below. 4x^2+5x+1=0
RUDIKE [14]
A and C. Those are the roots
3 0
3 years ago
Read 2 more answers
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