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2 years ago

6+8(y-3/5), if y=8/9

Mathematics

2 answers:

Alexeev081 [22]2 years ago

8 0

Answer:

8 14/45

Step-by-step explanation:

First, place 8/9 anywhere there is a y:

6+8(8/9-3/5)

Next, do what is in the parenthesis. Make both fractions have the same denominator.

6+8(40/45-27/45)

And now subtract:

6+8(13/45)

Now, multiply 8 and 13/45:

6+ 104/45

Convert the fraction to a mixed fraction:

2 14/45

Finally, add 6:

8 14/45

<h3>Hopefully I helped :)</h3>

igor_vitrenko [27]2 years ago

4 0

8 14/45 is your best answer

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The diagonal of a rectangle is of length a. It splits each corner forming two angles with a ratio of 1:2. The area of the rectan

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Answer:

Step-by-step explanation:

Given

Length of diagonal is a

Diagonal divides the angle in 1:2

such that $\theta +2\theta =90$ (because angle between two sides is 90)

$3\theta =90$

$\theta =30^{\circ}$

width of rectangle is $b=a\sin \theta =\frac{a}{2}$

Length of rectangle is $L=a\cos 30=\frac{\sqrt{3}}{2}a$

Area of rectangle $A=L\cdot b$

$A=\frac{\sqrt{3}}{2}a\times \frac{a}{2}$

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2 years ago

Find the first derivative of f'(a) using first principle, for the given value of

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Answer:

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Step-by-step explanation:

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2 years ago

1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?

Murrr4er [49]

Q1. The answers are (–1, 8), (0, 7), (3, 18)

–3x + y ≥ 7
Let's go through all choices:

(–2, –3)
(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7 INCORRECT

(–1, 8)
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7 CORRECT

(0, 7)
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7 CORRECT

(1, 9)
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7 INCORRECT

(3, 18)
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7 CORRECT

Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
y ≥ 0

x - small boxes
y - large boxes

He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each on a shelf that holds up to 80 lb:
5x + 12y ≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0

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2 years ago

Among 9 electrical components exactly one is known not to function properly. If 3 components are randomly selected, find the pro

kozerog [31]

Answer:

P=0.66

Step-by-step explanation:

We know that Among 9 electrical components, exactly one is known not to function properly. If 3 components are randomly selected.

We calculate the probability that all selected components function properly.

We calculate the number of possible combinations:

$C_3^9=\frac{9!}{3!(9-3)!}=84$