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2 years ago

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

Mathematics

1 answer:

stealth61 [152]2 years ago

3 0

$\dfrac{7}{24} \div \dfrac{35}{48} = \dfrac{7}{24} \times \dfrac{48}{35} = \dfrac{2}{5}$

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A building that is 150 m tall, 100 m wide, and 80 m deep has glass on all sides except the roof and the base.

Airida [17]

Answer:

C. 54,000 m^2

Step-by-step explanation:

2 sides + 2 more sides

2(150x100) + 2(150x80)

30000 + 24000

54000m^2

3 0

2 years ago

An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle

omeli [17]

Answer:

$\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

$\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}$

The middle point of the base is placed at point

$\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i$

The length of the height is the distance between the points 5+9i and 7+3i

$\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}$

So, the area of the triangle is

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

4 0

2 years ago

Is Social Darwinism a justifiable reason to colonize other areas of the world and exploit the people and resources of that regio

Ksivusya [100]

Answer:

Social Darwinism provided an ideological justification for the social inequalities that capitalism had brought with it: these would result from the hereditary inferiority of the poor and the hereditary excellence of the richer classes, which are best enjoyed under a laissez-faire system. Applied to peoples and races, it became a justification for racism and imperialism.

As can be seen, social Darwinism is a retrograde political and philosophical stance, which considered different ethnic or national groups as different in terms of capacity or development possibilities. Therefore, since this position has been regarded as false, social Darwinism has no justification in our time.

7 0

2 years ago

Suppose y varies directly with x and y = 72 when x = 6. What direct variation equation relates x and y? What is the value of y w

iogann1982 [59]

Y=12x
When x=10
y=120

x:3 5 7
y:6 10 14
y=2x

3 0

3 years ago

1. You invest $2500 with annual interest rate of 4%. How much money will you have after 5 years?Use the following formula:A = P(

Yuki888 [10]

$ 3042

Explanation

we need to use the formula:

$\begin{gathered} A=P(1+r)^t \\ \text{where} \\ \text{ P is the principal} \\ r\text{ is the rate ( in decimal)} \\ t\text{ is the time} \end{gathered}$

Step 1

a)let

$\begin{gathered} P=2500 \\ r=\text{ 4\% =}\frac{4}{100}=0.04 \\ r=0.04 \\ t=5\text{ ( years)} \end{gathered}$

b) now, replace

$\begin{gathered} A=P(1+r)^t \\ A=2500(1+0.04)^5 \\ A=2500(1.04)^5 \\ A=2500(1.2166) \\ A=3041.63 \\ \text{rounded} \\ A=3042 \end{gathered}$

therefore, the answer is

$ 3042

8 0

1 year ago