<u>Answer:</u>
- The length of the hypotenuse is 33 yards.
<u>Step-by-step explanation:</u>
<em>We can solve for 'a' using Pythagoras theorem. Let's solve it.</em>
- 65² = b² + 56²
- => 4225 = b² + 3136
- => b² = 1089
- => b = 33
Hence, the length of the hypotenuse is 33 yards.
Hoped this helped.
Answer:
30t if t ≤ 2
25(t-2) + 60 if 2 < t ≤ 6
160 if 6 < t ≤ 10
Step-by-step explanation:
Answer:
I cannot view the picture so I will tell you the formula
Step-by-step explanation:
Multiply the base by the height and divide the product by two.
By comparing with a right triangle, we will see that the height of the tree is 62.12ft
<h3>
How tall is the tree?</h3>
We can compare the situation with a right triangle. Such that the hypotenuse measures 68 ft, and an angle measures 66°.
We want to get the height of the tree, which would be the opposite cathetus, then we can use the relation:
Sin(a) = (opposite cathetus)/hypotenuse.
Sin(66°) = H/68ft
Tan(66°)*68ft = H = 62.12ft
The height of the tree is 62.12ft
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
two number not included in domain are x=0 and x=-5/2
Step-by-step explanation:
Let f(x)= 5/x and g(x)=2x^2+5x
WE need to find out the excluded value in the domain of f o g
f o g is the composition of functions
f o g= f(g(x))
lets plug in g(x) in f(x)
replace 2x^2+5x in f(x)
here we have 2x^2+5x in the denominator
to find the numbers that are in domain we set the denominator =0 and solve for x
Because when denominator becomes 0 the function is undefined
x=0 and 2x+5=0 (subtract 5 on both sides)
2x= -5 (divide by 2 on both sides)
x=-5/2
