Answer:
9.24
Step-by-step explanation:
Integer Part: 9
Fractional Part: 240
If the last digit in the fractional part of 9.240 is less than 5, then simply remove the last the digit of the fractional part.
So 9.24 rounded to the nearest hundredth is:
9.24
The answer would be 3 cups of juice
Answer:
Yes, 19.3649167 < 20
Step-by-step explanation:
Do the Pythagorean theorem to figure out the height.
35^2 + x^2 = 40^2
1225 + x^2 = 1600
x^2 = 375
x = 19.3649167
Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:
Where
is the centre of the circle. In this case, we don't need to know the centre. Just the radius.
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.
Great! We now know the radius of the circle. It is
because it is the bottom fraction. Now we know that the radius is 9.
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator
<h3>
Answer:</h3>
8.70 ft
<h3>
Step-by-step explanation:</h3>
We are given;
- Shadow of a tree as 25 ft
- Height of a person as 4ft
- Shadow of the person as 11.5 ft
We are required to determine the height of the tree
<h3>
Step 1: Find the angle of elevation from the tip of the shadow to the top of the person.</h3>
tan θ = opp/adj
In this case; Opposite side = 4 ft
Adjacent side = 11.5 ft
Therefore; tan θ = (4 ft ÷ 11.5 ft)
tan θ = 0.3478
θ = tan⁻¹ 0.3478
θ = 19.18°
<h3>Step 2: Calculate the height of the tree</h3>
The angle of elevation from the tip of the shadow of the tree to the top of the tree will 19.18°
Therefore;
Opposite = Height of the tree
Adjacent = 25 ft
Thus;
tan 19.18 ° = x/25 ft
x = tan 19.18° × 25 ft
= 0.3478 × 25 ft
= 8.695
= 8.70 ft
Therefore, the height of the tree is 8.70 ft