MATHEMATICS MIDDLE SCHOOL

Roberto has already run 16 of 26.2 miles of a marathon. Rounded to the nearest whole number, what percent of the marathon has he completed? I know

Answers

Answer 1

Answer:

Alright, lets get started.

Roberto has already run miles = 16

Total miles for marathon = 26.2

As per percentage formula :

$(number of miles)/(total miles) *100$

So, percentage completed = $(16)/(26) *100 = 61.54$

Rounding the answer to whole number 62 %

62 percent of the marathon he has completed. : Answer

Hope it will help :)

Answer 2

Answer:

Answer:

62%.

Step-by-step explanation:

We are given that marathon is 26.2 miles long and Roberto completed 16 of this marathon.

Now let us find 16 is what percent of 26.2.

$(16)/(26.2) *100$

$0.610687*100$

$61.07$

Now let us round our answer to nearest whole number. $61.0687$ rounded to nearest whole number will be $61$ .

Therefore, Roberto ran 61% of the marathon.

Related Questions

(x - 6 + I)(x - 6 - i
Please Help and Please Show your answer
It costs the class $15 to make cookies for the bake sale. How many cookies must at least they sell at least to make a profit if each cookie costs 11 cents to make?
What is the answer to this math question?
What is 14% of 56Please explain

Help meh PleaSeWhich does not show a direct variation between x and y?
A.y=4/x

B.y=0.5x

C.y= 7x

D.y=x/9

Answers

The formula for direct variation is y = kx where k ≠ 0

y = 9/x is an inverse relation

Katy's driveway is 120 feet long. How many yards long is katy's driveway SHOW WORK A 60 yardsB 40 yards
C 20 yards
D 10 yards

Answers

There are 3 feet in a yard so...
120/3 = B. 40 yards.
Hope I helped!

Final answer:

To convert feet to yards, divide by 3. Therefore, Katy's 120-foot driveway is 40 yards long. The answer is B. 40 yards.

Explanation:

The question asks for the length of Katy's driveway in yards. To convert feet to yards, we use the conversion factor that 1 yard is equal to 3 feet. So, to find the length of the driveway in yards, we divide the total length in feet by the number of feet per yard.

Given that Katy's driveway is 120 feet long:

Divide 120 feet by 3 to convert to yards.
120 ÷ 3 = 40.

Therefore, Katy's driveway is 40 yards long.

So the answer is B. 40 yards.

Learn more about Converting feet to yards

brainly.com/question/1175409

#SPJ3

Let (-6,-5) be a point on the terminal side of theta Find the exact value of sin theta, csc theta, and cot theta

Answers

Answer:

Part 1) $sin(\theta)=-(5√(61))/(61)$ or $sin(\theta)=-(5)/(√(61))$

Part 2) $csc(\theta)=-(√(61))/(5)$

Part 3) $cot(\theta)=(6)/(5)$

Step-by-step explanation:

we know that

The point (-6,-5) lies on the III Quadrant

sin(theta) is negative

csc(theta) is negative

cot(theta) is positive

Part 1) Find the sine of angle theta

we know that

The function sine is equal to divide the opposite side to the angle theta by the hypotenuse

$sin(\theta)=(y)/(r)$

we have

$x=6\ units,y=5\ units$

Applying the Pythagoras Theorem

$r^(2)=x^(2)+y^(2)$

substitute

$r^(2)=6^(2)+5^(2)$

$r^(2)=61$

$r=√(61)\ units$ -----> the hypotenuse

substitute

$sin(\theta)=(5)/(√(61))$

Simplify

$sin(\theta)=(5√(61))/(61)$

Remember that the sin(theta) is negative

$sin(\theta)=-(5√(61))/(61)$

Part 2) Find the cosecant of angle theta

we know that

The function cosecant is equal to divide the hypotenuse by the opposite side to the angle theta

$csc(\theta)=1/sin(\theta)=(r)/(y)$

we have

$sin(\theta)=-(5)/(√(61))$

$csc(\theta)=-(√(61))/(5)$

Part 3) Find the cotangent of angle theta

we know that

The function cotangent is equal to divide the adjacent side to the angle theta by the opposite side to the angle theta

$cot(\theta)=(x)/(y)$

we have

$x=6\ units,y=5\ units$

substitute

$cot(\theta)=(6)/(5)$

Final answer:

The exact values of sin theta, csc theta, and cot theta for a point (-6, -5) on the terminal side are -5/sqrt(61), sqrt(61)/-5, and 6/5 respectively.

Explanation:

In this problem we have a point (-6, -5) on the terminal side of theta. The x-coordinate corresponds to the cosine of theta and the y-coordinate corresponds to the sin theta.

To answer your question:

sin theta = y/r = (-5)/sqrt((-6)^2+(-5)^2) = -5/sqrt(61)
csc theta = 1/sin(theta) = sqrt(61)/-5
cot theta = cos(theta)/sin(theta) = x/y = -6/-5 = 6/5

Learn more about Trigonometric Values here:

brainly.com/question/29069676

#SPJ3

Which value of a solves the equation

a^-2 = 1/100

Answers

Answer:

a = 10 or a = -10

Step-by-step explanation:

a^-2 = 1/100

We know 100 = 10^2

a^-2 = 1/10^2

We know 1/b^c = b^-c

1/a^2 = 1/ 10^2

Multiply by a^2 on each side

a^2 *1/a^2 = 1/ 10^2 *a^2

1 = a^2/10^2

Multiply by 10^2 on each side

1 0^2= a^2/10^2 * 10^2

10^2 = a^2

Take the square root of each side

sqrt(10^2) = sqrt(a^2)

±10 =a

Ab + c = d solve for b

Answers

Answer:

b=(d-c)/a

Step-by-step explanation:

Ab + c = d

Subtract c from both sides

ab=d-c

Divide both sides by a

b=(d-c)/a

Answer:

Step-by-step explanation:

−

River C is 300 Miles Longer than River D. If the sum of their lengths is 5,570 miles, what is the length of each river?

Answers

$x-\ length\ of\ river\ D\nx+300-\ length\ of\ river\ C\n\n5570=x+x+300\n5570=2x+300\ \ \ | subtract\ 300\n5270=2x\ \ \ | divide\ by\ 2\nx=2635\n\nRiver\ C\ is\ 2935miles\ long\ and\ river\ D\ 2635\ miles\ long.$

Other Questions

What is the value of x?

Which is greater .836 or .83

Un dreptunghi are perimetrul 420m. Lungimea este de 4ori mai mare decât latimea. Aflati lungimea si latimea dreptunghiului?

Determine the mean/average of5, 7, 10, 9,0