Answer:
He can type 256 words in 4 minutes
Step-by-step explanation:
2 minutes 30 seconds is 2.5 minutes
The rate is the number of words divided by the time
160 words / 2.5 minutes =64 words per minute
We need to find how many words in 4 minutes
Take the rate time the time
64*4 =256
He can type 256 words in 4 minutes
Answer:
5668.3
Step-by-step explanation:
The problem can be represented as a right angled triangle as shown below.
The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.
The altitude of the balloon is 2999 feet. (opposite)
Using trigonometric function, SOHCAHTOA, we can solve this:
The pilot is 5668.3 feet far away from the house.
V = LWH
Change the dimensions to decimal numbers.
L = 3.75 m
W = 1.5 m
H = 2 m
V = (3.75 m)(1.5 m)(2 m)
V = 11.25 m^3
Answer: (5x-2)(3^2-5)
Step-by-step explanation:
So using the commutative property, we can change the equation 15x^3-6x^2-25x+10 into 15x^3-25x -6x^2+10
Let’s split that into two sections so it’s easier to see:
(15x^3-25x) - (6x^2+10)
Next let’s look at what 15x^3 and -25x have in common. They have 5x in common.
Factoring out 5x, we get this: 5x(3^2-5)
Next let’s look at what -6x^2and 10 have in common. They only have 2 in common, so we factor out 2.
2(-3^2+5) we can write this as -2(3^2-5)
So the end result will be : 5x(3^2-5)-2(3^2-5)
And the complete factorization will be (5x-2)(3^2-5)
B. 82 because complementary angles equal 90˚ combined and 90-8=82
