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grin007 [14]
2 years ago
5

Tad and Janice are installing new wood floors in a house. Tad can install 144 square feet of flooring in three hours. Janice can

install 576 square feet of flooring in six hours
How many square feet of flooring can Tad install in eight hours? ____ square feet

How many square feet of flooring can Janice install in five hours? ____ square feet

If they each work for 12 hours, how many square feet of flooring can they install? ____ square feet
Mathematics
2 answers:
Liono4ka [1.6K]2 years ago
7 0

Answer:

Step-by-step explanation:

solong [7]2 years ago
4 0

Answer:

1.) How many square feet of flooring can Tad install in eight hours? 384 square feet

2.) How many square feet of flooring can Janice install in five hours? 480 square feet

3.) If they each work for 12 hours, how many square feet of flooring can they install? 1,728 square feet.

I hope i helped alot :)

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Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
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Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

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2 years ago
Congratulations you received a score of 3.4 on your annual review . Merit increases are given out starting at .5% at a score of
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Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat.
Basile [38]
So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of<span> the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 </span>× x × y<span>
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Read 2 more answers
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

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

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
2 years ago
The lengths of the sides of triangle PQR are consecutive even integers. The perimeter of triangle PQR is 42 cm. What is the leng
Yuri [45]

Answer:

16 cm

Step-by-step explanation:

Let the three consecutive even integers representing the sides of the triangle PQR be x, (x +2) and (x + 4).

Since, perimeter of triangle PQR = 42 cm

\therefore \: x + (x + 2) + (x + 4) = 42 \\ 3x + 6 = 42 \\ 3x = 42 - 6 \\ 3x = 36 \\ x =  \frac{36}{3}  \\ x = 12 \\  \\  \because \: longest \: side = x + 4 \\  \therefore \:  longest \: side = 12 + 4 \\  \red{ \bold{ \therefore \:  longest \: side = 16 \: cm}} \\

6 0
1 year ago
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