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3 years ago

What is the area of a room that is 3 3/4 yards long and 3 1/3 yards wide

Mathematics

2 answers:

dmitriy555 [2]3 years ago

7 0

Answer:

12½ yards²

Step-by-step explanation:

Area = length × width

Area = 3¾ × 3⅓

= 15/4 × 10/3

= 25/2

= 12½ yards²

Andreas93 [3]3 years ago

6 0

Answer:

12 1/2 yd^2

Step-by-step explanation:

The area is length times width

A = 3 3/4 * 3 1/3

Change to improper fractions

A = 15/4 * 10/3

Rewriting

A = 15/3 * 10/4

= 5 * 5/2

= 25/2

Changing back to a mixed number

= 12 1/2

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Use the triangle below to find cos V.

Semenov [28]

Answer:

$cos\ V = \frac{2\sqrt{29}}{29}$

Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

$cos\theta = \frac{Adjacent}{Hypotenuse}$

In this case:

$cos V= \frac{TV}{UV}$

Where

$TV = 6$

and

$UV^2 = TV^2 + TU^2$ -- Pythagoras

$UV^2 = 6^2 + 15^2$

$UV^2 = 261$

Take square roots

$UV = \sqrt{261$

$UV = \sqrt{9*29$

$UV = \sqrt{9} *\sqrt{29$

$UV = 3\sqrt{29$

So:

$cos V= \frac{TV}{UV}$

$cos\ V = \frac{6}{3\sqrt{29}}$

$cos\ V = \frac{2}{\sqrt{29}}$

Rationalize:

$cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}$

$cos\ V = \frac{2\sqrt{29}}{29}$

8 0

3 years ago

A mechanic charges $60 to inspect your heater, plus $70 per hour to work on it. You owe the mechanic a total of $410. Write and

uranmaximum [27]

Answer:

($410 - $60) / $70 = 5

After subtracting the $60 base fee, you can just divide the hours paid for by the hourly wage and find out how many hours were worked. Hope this helps!

5 0

3 years ago

Which expression shows a decimal equivalent to the fraction 13/32? Show work A. 0.41 B. 0.406 C. 0.40625 D. 0.4625

lina2011 [118]

Answer:

[C] 0.40625

Explanation:

To turn a fraction into a decimal, divide the numerator by the denominator.

13 ÷ 32 = 0.40625

Your answer is [C] 0.40625

3 0

3 years ago

A tire has a diameter of 184 cm what is the circumference of the tire

viktelen [127]

Here is your answer

diameter of tyre= 184cm

So,

Circumference= $\:{pi}$ ×d

= 3.14 × 184 cm

= 577.76 cm

HOPE IT IS USEFUL

8 0

3 years ago

Solve 3[-x + (2 x + 1)] = X – 1.<br> Х=

Strike441 [17]

Answer:

x=-2

Step-by-step explanation:

4 0

3 years ago