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Mnenie [13.5K]
3 years ago
8

Grant is painting a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to

cover the whole board by using all of his paint, what is the length of the board in feet?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
3 0

Answer:

l=9 feet

Step-by-step explanation:

area of rectangle=l*w

3=1/3 l

length=9 feet

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In triangle ABC, the measure of angle BCA is 90, segment AC is 12 units, and segment BC is 9 units. If D is a point on hypotenus
Lubov Fominskaja [6]

Answer:

CD = 6 units

Step-by-step explanation:

In triangle ABC , AB is the hypotenuse then    AB =√(BC)² + (AC)²  = √(12)² + (9)²   =  15

AB = 15

sin ∠ABC  12/15   = 0,8   Then   arcsin (0.8)  =  53,1°

∠ABC  = 53,1°      and   ∠BAC  =  36,9°

Now the hypotenuse is 15 units and we need to find the lenght of segment

CD. If we divide the hypotenuse in three equal segment (of lenght 5 each) we at the same time are dividing the ∠ACB ( 90°),  in three equals angles of

30°.

If we now apply sin law

sin 30°/ 5    = sin 36,9°/CD

Then    CD  = 5 * sin 36.9° / sin 30°   ⇒  CD =[ 5* (9/15) ] / 1/2

CD = 6 units

3 0
4 years ago
The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must
Nina [5.8K]

The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

The linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hence:

Price of each comb = (x/2) / x = 0.5

The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2

Find out more on equation at: brainly.com/question/2972832

#SPJ4

3 0
2 years ago
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Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1
Tanya [424]

Answer:  x = 4, y = 3

<u>Step-by-step explanation:</u>

y=\dfrac{1}{4}x+2    and      y=x-1

Using substitution method we get:

x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3

3 0
4 years ago
If i only had 2819 in my account and i now have 3349 how much more deposited?
leonid [27]

Answer:

530.

Step-by-step explanation:

If you take away 2819 from 3349, you'll get 530. That's how much more was deposited.

lmk if I'm wrong

6 0
3 years ago
The population of the bacteria is initially 20. At the end of Week 1, the population of the bacteria is 30. The population grows
liq [111]
The formula is
A=p (1+r)^t
A=20×(1+0.5)^(12)
A=2,594.9 round your answer to get
A=2595
3 0
3 years ago
Read 2 more answers
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