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Ksivusya [100]
3 years ago
8

A construction contractor used the equation Y=KX to determine it would cost him $4.90 to buy 2 boxes of nails. How much in each

box
Mathematics
1 answer:
dem82 [27]3 years ago
8 0
Data: (adopting)
Y = <span>$4.90
K = 2 boxes
x = ? (how much in each box)

Solving:
</span>Y = K*X
4.90 = 2*X
4.90 = 2X
2X = 4.90
X =  \frac{4.90}{2}
\boxed{\boxed{X = \$\:2.45\:each\:box}}\end{array}}\qquad\quad\checkmark<span>
</span>
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-1/2+c=31/4<br><br> A. C=33/4<br> B. C=8<br> C. 29/4<br> D. 7
kkurt [141]

Answer:

A

Step-by-step explanation:

-1/2+c=31/4

-1/2+c+1/2=31/4+1/2

c=33/4

4 0
3 years ago
Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

Base = \sqrt{2}

Height is DF

DF =tan(60^{\circ}) \times DE

DF = \sqrt{3} \times DE

DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

=\frac{1}{2}(2\sqrt{3} )

=\sqrt{3}

6 0
3 years ago
Mr. Vogel is riding the stationary bike at the gym. He completes 41 1/2 wheel rotations even 1/3 minute. what Mr Vogel's unit ra
Eva8 [605]
1/3times3=3/3 3/3 is the same as a whole so do 41 and 1/2 times 3 this gets you an answer of 124.5 meaning the unit 124.5x he makes 124.5 rotations per minute
4 0
3 years ago
How do you find x? and how do you round to the nearest tenth?
expeople1 [14]

Hey there!

In order to solve this problem, we can use the Pythagorean Theorem, which is c^2 = a^2 + b^2. Since the Pythagorean Theorem would find only half of the length of x, we'll need to double it in the end.

First, let's plug in what we know to the Pythagorean Theorem: 2.1^2 = 1.4^2 + b^2

Next, we'll simplify to that b^2 is by itself:

b^2 = 2.45

Then, we'll find the square root of 2.45, multiply that by 2 and round to the nearest tenth:

2(\sqrt{2.45} ) = 3.1

Therefore, x = 3.1 ft.


How to round to the nearest tenth:

In a decimal, the tenth is the first number after the decimal point. To round to the tenth, if the number in the hundredth place is less than 5, you keep the number as it is, but if the number in the hundredth place is more than 5, you increase the number in the tenth place by 1.


Hope this helps!! :)

6 0
3 years ago
A radio station uses 1/6 of it's time for the news. In a 24 hour day, how many are used for music and entertainment? Wouldn't it
d1i1m1o1n [39]
If they have 24 hours in a day, and use 1/6 of those 24 hours on news, they use 24*(1/6) or 4 hours on news. Assuming that they use the leftover time for just music and entertainment, we have 20h - 4h, so thats 20h. You were right. Not sure on their reasoning either.
6 0
3 years ago
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