Answer: 77
Step-by-step explanation:
Answer: 1012 calories
Step-by-step explanation:
Shannon burns 46 calories each hour while sleeping.
When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:
= 11 × 46
= 506 calories
She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:
= 2 × 506 calories
= 1012 calories
The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories
Answer:
The number of edges is ![E=12](https://tex.z-dn.net/?f=E%3D12)
Step-by-step explanation:
we know that
The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
so
![V- E + F = 2](https://tex.z-dn.net/?f=V-%20E%20%2B%20F%20%3D%202)
In this problem we have
![F=8, V=6](https://tex.z-dn.net/?f=F%3D8%2C%20V%3D6)
substitute and solve for E
![6- E + 8 = 2](https://tex.z-dn.net/?f=6-%20E%20%2B%208%20%3D%202)
![E=6 + 8 -2=12](https://tex.z-dn.net/?f=E%3D6%20%2B%208%20-2%3D12)
Hello! The sum of four consecutive integers that equal -18 are -6, -5, -4, And -3. -3 is the greatest out of all of the integers and -6 is least out of all the integers. The further right on the number line, the greater it is. The further left on the number line, the lower it is.
Let us draw a triangle ABC with A=15° ,B=113° and b=7.
Please see the attached image.
We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have
![A+B+C=180\\ \\ 15+113+C= 180\\ \\ C=62^{\circ}](https://tex.z-dn.net/?f=A%2BB%2BC%3D180%5C%5C%0A%5C%5C%0A15%2B113%2BC%3D%20180%5C%5C%0A%5C%5C%0AC%3D62%5E%7B%5Ccirc%7D)
Apply Sine rule in the triangle ABC, we get
![\frac{a}{\sin 15}= \frac{7}{\sin 113}\\ \\ a=\frac{7 \sin 15}{\sin 113}\\ \\ a=1.97\\ \\ \text{Again apply sine rule, we get}\\ \\ \frac{c}{\sin 62}= \frac{7}{\sin 113}\\ \\ c=\frac{7 \sin 62}{\sin 113}\\ \\ c=6.71](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B%5Csin%2015%7D%3D%20%5Cfrac%7B7%7D%7B%5Csin%20113%7D%5C%5C%0A%5C%5C%0Aa%3D%5Cfrac%7B7%20%5Csin%2015%7D%7B%5Csin%20113%7D%5C%5C%0A%5C%5C%0Aa%3D1.97%5C%5C%0A%5C%5C%0A%5Ctext%7BAgain%20apply%20sine%20rule%2C%20we%20get%7D%5C%5C%0A%5C%5C%0A%5Cfrac%7Bc%7D%7B%5Csin%2062%7D%3D%20%5Cfrac%7B7%7D%7B%5Csin%20113%7D%5C%5C%0A%5C%5C%0Ac%3D%5Cfrac%7B7%20%5Csin%2062%7D%7B%5Csin%20113%7D%5C%5C%0A%5C%5C%0Ac%3D6.71)
Therefore, we have
![a=1.97\\ c=6.71\\ C=62^{\circ}](https://tex.z-dn.net/?f=a%3D1.97%5C%5C%0Ac%3D6.71%5C%5C%0AC%3D62%5E%7B%5Ccirc%7D)