Answer:
x=3.6
Step-by-step explanation:
multiply 4 by 9 and then divide by 10
Answer:
gift 1:
424 cm^2
570 cm^3
gift 2:
1420.5 cm^2
3622.5 cm^3
Step-by-step explanation:
We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.
The formula for the surface area is:
A = 2*ab + 2*ac + 2*bc
Gift 1:
A = 2*6*10 + 2*6*9.5 + 2*10*9.5
A = 424 cm^2
That means that gift 1 needs 424 cm^2 of wrapping paper
Gift 2:
A = 2*14*17.25 + 2*14*15 + 2*17.25*15
A = 1420.5 cm^2
That means that gift 2 needs 1420.5 cm^2 of wrapping paper
Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:
V = a*b*c
Gift 1:
V = 6*10*9.5
V = 570 cm^3
This means that gift 1 needs 570 cm^3 of packaging peanuts
Gift 2:
V = 14*17.25*15
V = 3622.5 cm^3
That means that gift 2 needs 3622.5 cm^3 of packaging peanuts
Answer:
<h2>4 and 8</h2>
Step-by-step explanation:
4 and 8 are corresponding angles as they form at parallel lines cut by a transversal.
4 and 3 are supplementary angles (they both add up to 180°).
4 and 1 are vertically opposite angles and are equal to each other.
<u>From the above explanations, only 4 and 8 are corresponding angles. </u>
<em>I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!</em>
Answer:
482 km
63.94 degrees
Step-by-step explanation:
to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.
Cosine rule states that
C = 
where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060
solving now, we have
C = 
C = ![\sqrt{250000 + 90000 - [215000 cos(60) }]](https://tex.z-dn.net/?f=%5Csqrt%7B250000%20%2B%2090000%20-%20%5B215000%20%20%20cos%2860%29%20%20%7D%5D)
C = ![\sqrt{340000 - [215000 * 0.5 }]](https://tex.z-dn.net/?f=%5Csqrt%7B340000%20-%20%5B215000%20%2A%200.5%20%20%7D%5D)
C = ![\sqrt{340000 - [107500 }]](https://tex.z-dn.net/?f=%5Csqrt%7B340000%20-%20%5B107500%20%20%7D%5D)
C =
C = 482 km
The bearing can be gotten by using the Sine Rule.
= 
sina/500 = sin60/482
482 sina = 500 sin60
sina = 
sina = 0.8983
a = sin^-1(0.8983)
a = 63.94 degrees
The formula is 2(wl+hl+hw) to calculate surface area fo a rectangular prism.