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2 years ago

Please help can you help i really need help like really this is so heard

Mathematics

1 answer:

Elina [12.6K]2 years ago

3 0

Answer:

1/8 square unit.

Step-by-step explanation:

Remark

The piece of information that is missing is is the middle line parallel to 2 of the sides. You have to assume it is, otherwise the question is impossible to do.

Givens

The height of the red triangle is 1/2 the top or bottom white triangle. That's because the diagonals and the horizontal line all meet in the middle.

The base of the red triangle is equal to 1/2 the length of the base.

Formula

Area red = 1/2 b * h

Solution

b = 1/2

h = 1/2

Area = 1/2 * 1/2 * 1/2

Area = 1/8

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A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert

andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)

$A=\frac{R^2}{2} (\alpha -sin\alpha )$

$\alpha =2arccos(\frac{d}{R})$

3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians

$\alpha =2arccos(\frac{5}{7})=88.83$

$A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2$

4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)

$At=\frac{\pi }{4} (14ft)^2=153.93ft^2$

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank

$\frac{116.36}{153.93} *100=75.6$

percentage of the total capacity is 75.6%

3 0

2 years ago

Is the sequence 5, 9, 15, an arithmetic sequence? Explain.

igor_vitrenko [27]

Answer:

Step-by-step explanation:

An arithmetic sequence has a common difference between adjacent terms. Here, the differences are ...

9 -5 = 4
15 -9 = 6

The differences are different, not common, so this is NOT an arithmetic sequence.

6 0

3 years ago

(6x² + x - 3)(2x² + 1)

Juli2301 [7.4K]

12x^4 +6 +2x^3 +1x -6x^2 -3

12x^4 +2x^3 -6x^2 +1x + 3

i'm not completely sure this is the right answer but i gave it a shot! let me know if i was right or wrong

6 0

3 years ago

How can knowing how to represent proportional relationships in different ways be useful to solving problems

Anna35 [415]

Answer:

appropriately writing the proportion can reduce or eliminate steps required to solve it

Step-by-step explanation:

The proportion ...

$\dfrac{A}{B}=\dfrac{C}{D}$

is equivalent to the equation obtained by "cross-multiplying:"

AD = BC

This equation can be written as proportions in 3 other ways:

$\dfrac{B}{A}=\dfrac{D}{C}\qquad\dfrac{A}{C}=\dfrac{B}{D}\qquad\dfrac{C}{A}=\dfrac{D}{B}$

Effectively, the proportion can be written upside-down and sideways, as long as the corresponding parts are kept in the same order.

I find this most useful to ...

a) put the unknown quantity in the numerator

b) give that unknown quantity a denominator of 1, if possible.

The usual method recommended for solving proportions is to form the cross-product, as above, then divide by the coefficient of the variable. If the variable is already in the numerator, you can simply multiply the proportion by its denominator.

<u>Example</u>:

x/4 = 3/2

Usual method:

2x = 4·3

x = 12/2 = 6

Multiplying by the denominator:

x = 4(3/2) = 12/2 = 6 . . . . . . saves the "cross product" step

<u>Example 2</u>:

x/4 = 1/2 . . . . we note that "1" is "sideways" from x, so we can rewrite the proportion as ...

x/1 = 4/2 . . . . . . written with 1 in the denominator

x = 2 . . . . simplify

Of course, this is the same answer you would get by multiplying by the denominator, 4.

The point here is that if you have a choice when you write the initial proportion, you can make the choice to write it with x in the numerator and 1 in the denominator.

8 0

2 years ago

Gabe drops a hammer from an apartment that is 30 meters above the

cluponka [151]

A 0 because you can not subtract 2-5 or the rest

6 0

3 years ago