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4 years ago

A. Wall paper border costs $12.89 for a 15 feet roll. How many rolls do you need to purchase?

Mathematics

1 answer:

Rom4ik [11]4 years ago

8 0

Answer: A:3 rolls B: $38.67

Step-by-step explanation:

1. Convert all units to the same value (feet to inches, as the opposite gives fractions)

2. Use new equation and multiply the said new variable (84*3 & 96*3)

3. The new total should amount to the total area (540)

4. Divide found area by 12 to convert back into feet (45)

5. Divide the feet by feet per roll (3)

6. Multiply for Cost

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A tower is 200 ft tall to the nearest degree find the angle of elevation from a point of 50 feet from the base of the tower to t

Elodia [21]

Answer:

Step-by-step explanation:

What you have here is classic right triangle trig. The height of the tower is the height of a right triangle, and the point 50 feet from the base of the tower is the base of the triangle. The angle of elevation is the base angle that is NOT the right angle. The height is opposite the base angle, while the base is adjacent to the angle, so we need the tangent ratio to find the angle. Here's what we have:

$tan(\theta)=\frac{200}{50}$

When you are looking for a missing angle, you use the inverse of the angle on your calculator. To do this, hit the 2nd button, then tan, and what you see on your screen is

$tan^{-1}($

Enter 200/50 (or 4) and hit "enter" to find the missing angle. It comes out to 75.9 so 76 degrees.

3 0

4 years ago

E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))

olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

$T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}$

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

$T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}$

Then we have

$\rm \triangledown T = \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)$

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

$\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}$

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction $\triangledown$ T. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0

2 years ago

How can you write 9/20 as a decimal

Anna007 [38]

You would divide 100/20 and get 5. then u would multiply 9 times 5 equals 45 then add a decimal to get ur answer 0.45

7 0

3 years ago

Read 2 more answers

Qual a importancia de um histograma?

butalik [34]

Histograma é um gráfico de frequência que visa ilustrar como uma dada amostra ou população de dados é distribuída. espero que isto ajude, usei um tradutor para entender :(

6 0

3 years ago

Last year, Amy opened an investment account with $6800. At the end of the year, the amount in the account had increased by 23.5%

qaws [65]

Answer:

-The increase in dollars is $1598

-The amount in her account at the end of last year was $8398.

Step-by-step explanation:

To find the increase, you have to multiply the initial amount for the percentage increase:

6800*23.5%=1598

Now, to find the amount in her account at the end of last year, you have to add the initial amount plus the increase in dollars:

6800+1598=8398

According to this, the amount in her account at the end of last year was $8398.

4 0

3 years ago