Answer:
x = 200/3
Step-by-step explanation:
Apply Thales theorem, we have:
80/(2x) = 60/27
Let's simplify both sides:
40/x = 20/9
or
x/40 = 9/20
Multiplying both sides by 40, we have:
(40/40)x = (20/9)*40
Let's simplify one more time:
x = (20*40)/(9)
or
x = 200/3
Hope this helps!
Answer:
The correct answer is,
the area of given triangle = 1875 square feet
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - Base and h - height
It is given that,a triangle with a base of 50 feet and a height of 75 feet’
<u>To find the area of triangle</u>
base b = 50 feet and height h = 75 feet
Area = bh/2 = (50 x 75 )/2
Area = 3750/2 = 1875 square feet
Therefore the area of given triangle = 1875 square feet
Answer:
25.6 ft
Step-by-step explanation:
Although the problem here is listed under "Pythagorean theorem" you can't solve it by the Pythagorean theorem simply because you need to know the length of two sides of the right triangle formed by the broken tree and the stump.
But you can use trigonometry.
The broken tee and trunk form a right triangle with the ground.
The stump can be represented by the height of the triangle (10 ft.) while the fallen treetop can be represented by the hyptenuse of the triangle with the ground forming the base of the triangle.
So, we have a right triangle whose height is 10 ft. having an angle opposite the height of 40 degrees.
You are asked to find the original height of the tree so you need to find the length of the fallen treetop (the "hypotenuse") and then you'll add this to the tree stump (10 ft.) to find the original height of the tree. To find the length of the "hypotenuse", you can use the sin funtion of trigonometry because in a right triangle: Sin(A) = Opposite/Hypotenuse where the angle A (40 degrees)is the angle opposite the height (10 ft).
Sin%2840%29+=+10%2Fh where h is the hypotenuse. Solving for h, we get:
h+=+10%2FSin%2840%29
h+=+10%2F0.643
h+=+15.6ft.
Now add this to the 10-ft stump:
10+15.6 = 25.6 ft.
The tree was 25.6 ft originally.
You need to make this is all languages if you want help thank you . :)
The answer is the first 1 !!
Here is how we see if it is true!
If Clayton drives 60 miles per hour, that means, <u>t</u>hat after one hour has passed, they should have traveled 60 miles!
If we look at the number of hours that have passed between 1:30 and 4:30, it is 3 hours.
If someone travels 60 miles every hour that has passed, and they traveled for 3 hours. To find how far they have traveled we just need to multiply 60 miles by 3 hours!
Let's solve that!
60 × 3 = 180 miles!
Clayton started driving at 1:30 pm and went 60 miles per hour.
