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2 years ago

A man can make 12 birdhouses in 8 hours . How many hours will it take him to make 30 ( show you work )

Mathematics

2 answers:

Lera25 [3.4K]2 years ago

8 0

Answer:

20 hours

Step-by-step explanation:

amount of birdhouse he can make in 1 hour

12/8= 1.5 bird house / hour

the amount of time it take to make 30 birdhouse

30 / 1.5 = 20 hours

mart [117]2 years ago

4 0

Answer:

It will take him 20 hrs.

Step-by-step explanation:

I don't exactly do this the traditional way but here goes:

Divide 12/8 to get the birdhouse/hrs ratio (which is 1.5) and divide 30 by 1.5 in order to get the amount of hours it will take him to make 30 birdhouses.

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Which one of these scales is equivalent to the scale 1 cm to 5 km? 3 cm to 15 km 1 mm to 150 km 5 cm to 2.5 km 1 mm to 500 m

Jobisdone [24]

1cm×3 to 5km×3=3cm to15km

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2 years ago

Point P is at the origin. Then Point P is moved 4 units to the right and 5 units up.

taurus [48]

Answer:

Step-by-step explanation:

The origin (x,y) is (0,0)

If its moved four units right you must add 4 to the x coordinate giving you (4,0)

Then it is moved up by 5, so you must add 5 to the y coordinate giving you

(4,5)

8 0

2 years ago

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If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ?

KIM [24]

Answer:

The answer is

$sin(\theta)=-\frac{\sqrt{2}}{2}$

$tan(\theta)=-1$

Step-by-step explanation:

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

$sin^{2}(\theta)+cos^{2}(\theta)=1$

In this problem we have

$cos(\theta)=\frac{\sqrt{2}}{2}$

$\frac{3\pi}{2}$

The angle $\theta$ belong to the third or fourth quadrant

The value of $sin(\theta)$ is negative

Step 1

Find the value of $sin(\theta)$

Remember

$sin^{2}(\theta)+cos^{2}(\theta)=1$

we have

$cos(\theta)=\frac{\sqrt{2}}{2}$

substitute

$sin^{2}(\theta)+(\frac{\sqrt{2}}{2})^{2}=1$

$sin^{2}(\theta)=1-\frac{1}{2}$

$sin^{2}(\theta)=\frac{1}{2}$

$sin(\theta)=-\frac{\sqrt{2}}{2}$ ------> remember that the value is negative

Step 2

Find the value of $tan(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=-\frac{\sqrt{2}}{2}$

$cos(\theta)=\frac{\sqrt{2}}{2}$

substitute

$tan(\theta)=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

$tan(\theta)=-1$

8 0

2 years ago

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Find the center, vertices, and foci for the ellipse 25x^2 + 64y^2 = 1600

Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation 25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

$\frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1$

3.- Find a, b and c

a² = 64 a = 8

b² = 25 b = 5

-Calculate c with the Pythagorean theorem

a² = b² + c²

-Solve for c

c² = a² - b²

-Substitution

c² = 8² - 5²

-Simplification

c² = 64 - 25

c² = 39

-Result

c = √13

4.- Find the center

C = (0, 0)

5.- Find the vertices

V1 = (-8, 0) V2 = (8, 0)

6.- Find the foci

F1 = (-√13, 0) F2 = (√13, 0)

7 0

2 years ago

A company has two office buildings that hold 30,000 employees. Their headquarters contains 14 times as many employees as their o

VikaD [51]

Answer:

Their headquarters contains <u>420000</u> employees.

Step-by-step explanation:

The company has two office buildings which hold 30,000 employees.

The headquarters contains 14 times as many employees as the overseas branch.

Therefore, the number of employees in the headquarters is:

14 * 30000 = 420000 employees

Their headquarters contains 420000 employees.

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2 years ago

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