Answer:
91.7 inches to 1 decimal place
Step-by-step explanation:
We will use Pythagoras's theorem to find the height of the pyramid.
The height of the Pyramid forms a right-angled triangle with half of the base and the slant height.
We can get half the length of the base by dividing the length of one side of the base = 20.4 by 2 = 10.2in
slant height = 92.3in
Therefore height =
The height of the pyramid is 91.73inches to 1 decimal place
From the given conditions above, if Corrine's brother's age is b, hers would be b - 6 given that she is 6 year younger. Adding b with b - 6 will give 2b - 6. Thus, the expression that shows the sum of their ages is <em>2b - 6</em>.
With this problem, we have two right triangles meaning we will end up using the Pythagorean Theorem. For the sake of the problem, let's say the boat is at point D. The two triangles we have are ΔACD and ΔABD. Let's first go through and define the lines.
Let's start with ΔACD:
Port A is 24 miles from Port C so AC = 24mi. We will represent this as line a
Port C is 25 miles from Boat D so CD (the hypotenuse) = 25mi. We will represent this as line c
We do not know the distance between Port A and Boat D (AD also known as line b) so let's calculate that since we will need it at the end.
We can calculate line b's length using the theorem: a² + b² = c²
a = 24mi
b = ?
c = 25mi
So
(24)² + b² = (25)²
576 + b² = 625
Subtract 576 from both sides to isolate b²
576 + b² - 576 = 625 - 576
b² = 49
Now take the square root of both sides
√b² = √49
b = 7 miles.
Now we know that the distance between Port A and Boat D is 7 miles.
Now let's move on to ΔABD
Port B is 15 miles from Port A so AB = 15mi. We will represent this as line a
Boat D is 7 miles from Port A so AD = 7mi. This will still be line b
We do not know the distance between Port B and Boat D (BD also known as line c).
Time to use the Pythagorean Theorem once more!
a² + b² = c²
15² + 7² = c²
225 + 49 = c²
274 = c²
Take the square root of both sides
√274 = √c²
c ≈ 16.6mi when we round to the nearest tenth
So the distance between Port B and the boat is 16.6 miles
360 ft * 160ft = 57,600 ft squared
I'm not sure, this question was kind of confusing
Answer:
Step-by-step explanation:
91 - n = 20
-91 -91
-n = - 71
the n is negative so there is a negative one there so we have to divide by negative one by both sides
so you get positive 71
so n = 71