Scenario:
a worker needs to repair a window on the second floor of a building
He is outside 3 feet way from the building
He starts walking and when he reaches the wall he is lifted 4 feet until reaching the window
What is the distance from the window to the point where he has standing before he start walking ?
2))This path forms a right triangle.2 sides are known but not the hypotenuse
Formula a^=b^=c^
a=4 b=3 c=x (Hypotenuse)
3)
Substitute
4^+3^=X^
16+9=x^
25=x^
5=x
Hypotenuse=5
The sides of the triangle formed in this situation are
4,3,and 5
The number of ways that he can make the fruit salad if it must contain watermelon is 35.
<h3>What is Permutation and combination?</h3>
Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.
The salad contains water melon, now we have to select 4 more fruits out of 7.
Using combination
= n! / r! (n-r)!
= 7!/ 4! (7-4)!
= 7*6*5*4! / 4! * 3*2
= 35
Hence, number of ways that he can make the fruit salad if it must contain watermelon is 35.
Learn more about Permutation and combination here:
brainly.com/question/11732255
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The equation would look like
Y=-4x+7
Y=mx+b
Division yields

Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that


which gives <em>a</em> + <em>b</em> = 2, <em>c</em> = 0, and 2<em>a</em> = -7, so that <em>a</em> = -7/2 and <em>b</em> = 11/2. Then

Now, in the integral we get

The first two terms are trivial to integrate. For the third, substitute <em>y</em> = <em>x</em> ² + 2 and d<em>y</em> = 2<em>x</em> d<em>x</em> to get

We know that
<span>1) Kayla originally has 64b dollars
</span>2) <span>She gave 1/8 of it to Luke-----> (1/8)*64b=8b
in this moment Kayla has------> 64b-8b=56b
3) </span>Kayla spent $45
in this moment Kayla has------> 56b-$45
therefore
the answer is
(56b-$45)