We can do this easily. Since we know that the numerator is more than the denominator, we need to know by how much.
39-28=11; It's only 11 more, which means 11/28 would be the fraction and the whole number is 1.
39/28= 1 11/28
Answer:
4,644 calories
Step-by-step explanation:
The computation of the number of calories to be burned is shown below
r = rate = 8.6 cal/min
= 8.6 cal ÷ [(1 ÷ 60)hr]
= 516 cal/hr
Now
Calories consumed in 9 hours is
= (516 cal/hr) × (9 hrs)
= 4,644 calories
Answer:
200.4 at 0.25%
Step-by-step explanation:
Given data
P= P200
r= 0.25%
t= 1 year
n= 12
A= P(1+ r/n)^nt
substitute
A= 200(1+ 0.0025/12)^12*1
A= 200(1+ 0.00020833333)^12
A= 200(1.0002)^12
A= 200* 1.002
A= 200.4
Hence the amount is 200.4 at 0.25%
Answer:
5. B) 55
6. D) 15
Step-by-step explanation:
5.
One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.
90 + x + 35 = 180
Simplify,
125 + x = 180
Inverse operations,
x = 55
6.
This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.
![(9)^2 +(12)^2 = (c)^2](https://tex.z-dn.net/?f=%289%29%5E2%20%2B%2812%29%5E2%20%3D%20%28c%29%5E2)
Simplify,
![81+144=c^2\\\\225=c^2](https://tex.z-dn.net/?f=81%2B144%3Dc%5E2%5C%5C%5C%5C225%3Dc%5E2)
Inverse operations,
c = 15
Answer:
Part A: 12.5 cm
Part B: 0.8 km
Step-by-step explanation:
Map scale problems can be solved with proportions.
Part A
5 cm / 2 km = x cm / 5 km
5/2 = x/5
2x = 25
x = 12.5
Answer: 12.5 cm
Part B
5 cm / 2 km = 2 cm / x km
5/2 = 2/x
5x = 4
x = 4/5
x = 0.8
Answer: 0.8 km