Answer:
108 yards
Step-by-step explanation:
Let circle A be the circle with the 62 yard diameter
Let circle B be the circle whose diameter we are trying to solve for.
- Externally tangent circles are circles which touch each other and share a common external tangent.
- Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
- The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
- 85 - 31= 54 yards which is the radius of circle B
- To get the diameter: 54 x 2 = 108 yards
Answer:
23.6°
Step-by-step explanation:
In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
-------------------------------------------------------------------------------------------------------
10 = Hypotenuse
4 = Opposite
-------------------------------------------------------------------------------------------------------
We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.
Now we substitute in the values to find the value of angle XVW
Sin⁻¹ = Opposite ÷ Hypotenuse
Sin⁻¹ = 4 ÷ 10
The value of angle XVW is 23.57817848
...........................
Answer:
8h-3>3h +2
8h-3h>2+3
5h>5
h>1
don't forget to draw your number line
pls make me the brainliest
