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3 years ago

Find the value of x. Then find the measures of four angles.

Mathematics

1 answer:

posledela3 years ago

8 0

Refer to the attached file

For your understanding,I am sending this too so that u can understand the concept

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Factor. 2y^2 - 7y + 6

yuradex [85]

2y^2-7y+6= 2y^2-4y-3y+6
=2y(y-2)-3(y-2)
=(2y-3)(y-2)
Therefore
y=3/2 or y=2

3 0

3 years ago

In August, 85% of the middle school students voted in a school election. The number of students who voted was 544. How many stud

Maksim231197 [3]

Answer:

640 students

Step-by-step explanation:

544 divided by 85%= 640

5 0

3 years ago

A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig

Vaselesa [24]

Answer:

a) Depth changing rate of change is $0.24m/min$ , When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of $0.17m/min$ , When the water is 6 meters deep

Step-by-step explanation:

As we can see in the attachment part II, there are similar triangles, so we have the following relation between them $\frac{3.5}{10} =\frac{a}{h}$ , then $a=0.35h$ .

a) As we have that volume is $V=\frac{1}{2} 2ahL=ahL$ , then $V=(0.35h^{2})L$ , so we can derivate it $\frac{dV}{dt}=2(0.35h)L\frac{dh}{dt}$ due to the chain rule, then we clean this expression for $\frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt}$ and compute with the knowns $\frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min$ , is the depth changing rate of change when the water is 6 meters deep.

b) As the width of the top is $2a=0.7h$ , we can derivate it and obtain $\frac{da}{dt}=0.7\frac{dh}{dt} =0.7*0.24m/min=0.17m/min$ The width of the top of the water is changing, When the water is 6 meters deep at this rate

8 0

3 years ago

7x^2 - 16x - 15<br>please help find the factored form

myrzilka [38]

Step-by-step explanation:

7x^×2-16x-15

14x^-16x-15

8 0

2 years ago

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = eight divided by square root of quantity

zubka84 [21]

Answer:

f(x) = 8/√x
g(x) = 2x+4

Step-by-step explanation:

For this sort of problem, there can be an infinite number of answers.

It can be convenient to choose one of the simpler answers by looking at the operations that are performed on the variable. Here, you have ...

2 multiplies it
4 is added to the product
the square root is taken
8 is divided by that root

You can work from the bottom up and define the outer function (f(x)) to be any of these operations. In our answer above, we have elected to include the "square root" and the "8 divided by that root" in our definition of f.

Then our function g takes care of the other operations.

6 0

3 years ago