What is the length of the short side of one of the 30 60 90 triangles?

Answer:

Well, it really just comes down to factoring the area into all of its components.

1 X 32 Perimeter is 2 + 64, or 66 m

2 X 16 Perimeter is 4 + 32 or 36 m

4 X 8 Perimeter is 8 + 16 or 24 m

8 X 4

16 X 2

32 X 1

Please note that the last 3 are just the first 3 in a different orientation and I don’t consider them to be unique. I noted them as a self-check to my own work. So we have 3 rectangles giving an area of 32 square meters and perimeters as noted above.

Answer:

dimensions which would give a rectangle a perimeter of 32 inches:

1 x 15

2 x 14

3 x 13

4 x 12

5 x 11

6 x 10

7 x 9

8 x 8

Step-by-step explanation:

Answer:

cosS is 33/65

Step-by-step explanation:

A: 14+12+7+9+8+5+10+22+25+10 =122÷10=  12.2

B: 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25 = 16.75

C:12, 15, 14, 13, 19, 17, 15, 9, 9, 9 = 13.2

D:  9, 5, 10, 12, 11, 15, 16, 14, 9, 8 = 10.9

E: 16, 11, 14, 13, 19, 8, 16, 15, 15, 13 = 14.5

The total mean is 67.55 shirts ,which also goes to 8

Your answer is 8 !

The surface area of the figure after a cubic hollow runs to the height of the rectangular prism is 364 square feet.

The surface area is 364 square feet.

Find the surface area of the rectangular prism.

To do this, use the formula for the surface area of a rectangular prism:

(2 x length x width) + (2 x width x height) + (2 x length x height)

In this case, the length is 9 feet, the width is 8 feet, and the height is 5 feet. Plugging these values into the formula gives:

= (2 × 9 × 5) + (2 × 8 × 5) + (2 × 9 × 8)

= 314 square feet

When a cubic hollow runs to the height of the rectangular prism and has the side length of 5 feet, 2 cubic faces is removed and 4 cubic faces added to the surface area of the resultant solid. So

surface area = 314 - 2×5² + 4×5²

= 314 + 2×5²

= 314 + 50

= 364 square feet

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Answer:

the value of x is 61 degree because the base angles of an isosceles triangle are equal.

Step-by-step explanation:

Hope it helps you!!

The coefficient of the expression X²Y in the product 7x² 5y X² 3y is 35.

7x² 5y X² 3y

= 7x² X² (5y 3y)

= 7x² X² (2y)

= 7x² X² 2y

= 14x² 2y

= 28xy

= 35

The given expression is 7x² 5y X² 3y. This can be rearranged as 7x² X² (5y 3y). This is equal to 7x² X² (2y). This can further be rearranged as 7x² X² 2y. This is equal to 14x² 2y. This can be further rearranged as 28xy. This is equal to 35. Therefore, the coefficient of X²Y in the product 7x² 5y X² 3y is 35.

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Answer:

g=1.50x+12.50 / Cole can play 15 games

Step-by-step explanation:

Once writing the equation place 35 for the variable.( 35=1.50x+12.50) Then you would have to solve for x.(x=15) I hope this is correct

Answer:

-3x^2

Step-by-step explanation:

We must do the 'work' inside the parentheses first:

(3x squared)  works out to  3x^2

after which we preface this result with the ' - ' sign:  -3x^2

Note:  if we write ONLY 3x squared the correct interpretation is 3x^2.  But if we write (3x) squared, the correct interpretation is 9x^2.  Double check the original problem, please, or (better yet) share an image of the original problem.

Answer:

-8 [tex]\leq[/tex] -8

Step-by-step explanation:

-8[tex]\leq[/tex]2-10

-8[tex]\leq[/tex]-8

Answer:

-8

Step-by-step explanation:

-8≤2-10
2-10 = -8
-8≤-8

The Triangle STP is similar to Triangle SRQ.

We can prove that triangle STP is similar to triangle SRQ using the Angle Bisector Theorem and the ratios of the sides of the triangles.

The Angle Bisector Theorem states that if point P bisects angle RST, then the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.

In this case, we are given that 2SP = 3SQ and 2ST = 3SR.

Dividing both sides of the equation 2SP = 3SQ by 2 and both sides of the equation 2ST = 3SR by 2, we get:

SP/PQ = 3/2 and ST/SR = 3/2

As the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.

Therefore, triangle STP is similar to triangle SRQ.

It can also be proven using the fact that PS bisects angle RST which means that the angle PST = PSR. And if two angles of two triangles are equal and the sides are in proportion then the two triangles are similar.

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Step-by-step explanation:

here's your solution

=> volume of cylinder = πr^2h

=> radius of cylinder = 12 unit

=> height of cylinder = 17 unit

=> volume of cylinder = 2448 π units^3

[tex]\huge\mathcal\pink{here's \: your \: solution}[/tex]

[tex]\huge\mathfrak\purple{hope \: it \: helps \: }[/tex]

Option D) f(x) = -3√x+5 is the cube root function is always decreasing as x increases

Given data :

y = ³[tex]\sqrt{x}[/tex] is an increasing function as when the value of x increases the value of y increases

And when the value of x decreases , the value of y also decreases.

Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.

So it shall either move left or right but shall not flip.

So

y = ³[tex]\sqrt{(x - 8)}[/tex] and  y = ³[tex]\sqrt{(x - 5)}[/tex]

are increasing functions.

Only when x becomes -x, that the function shall flip & shall become a decreasing function.

But then it must be - (x-a) or -(x+a) inside.

So

y = ³[tex]\sqrt{-(5 - x)}[/tex] is also increasing

Only

y = ³[tex]-\sqrt{(x + 5)}[/tex] is a decreasing function.

Option D) is the right answer.

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Answer:

2 prime numbers: 31 and 37

Step-by-step explanation:

31 and 37 are the only prime numbers between 30 and 40

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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Answer:

It will either invert the graph or stretch/compress the horizontal

Step-by-step explanation:

When a is negative It will invert the graph, and reflect it over the x-axis

By plugging in a=1 you get a normal absolute value function of x ( a V on the graph)

If a>1 then your graph will compress

If a<1 then your graph will stretch

Answer:

42 cm cubed

Step-by-step explanation:

6x4x4 to find volume of 96 when it is filled.

3x3x6 = 54 to find out what is cut out.

96-54 = 42 cm cubed.

Answer:

1. 50°

2.135

3.20°

4.45°

Step-by-step explanation:

1. A right angle adds up to 90 degrees adding that with 40 degrees you get 130. When you subtract the with 180 because a triangle add up to 180 you get 50°. 90+40=130 180-130=50 (might be better in column method.)

2.Add both 20 and 25 to get 45 and subtract your answer with 180 because triangles add up to 180. 20+25=45 180-45=135(might be better in column method)

3.Add 130 and 30 to get 160. Subtract 180 by your answer and get 20.

130+30=160 180-160=20(might be better in column method)

4. Add 95+40 and subtract your answer by 180. 180 subtracted by 135 is 45.

95+40=135 180-135=45(might be better in column method)

Step-by-step explanation:

12 holes / 6 minutes = 2 holes / 1 minute

the simplified ratio is 2/1 = 2.

so, for 25 minutes we need to keep the same ratio :

x holes / 25 minutes = x/25 = 2

x = 2×25 = 50

it drills 50 holes in 25 minutes.

An equation to find the discount price, y dollars, of the pendant is y=2d.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The original price of the pendant was $200.

Let d represent the percent discount, written as a decimal.

The discount price, y dollars, of the pendant.

y=d% of 200

y=d/100 ×200

y=2d

Therefore, an equation to find the discount price, y dollars, of the pendant is y=2d.

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Answer:this is confusing

Step-by-step explanation:

When working with a normal distribution, you can use the z-score to determine how many standard deviations away from the mean a certain data point is.

Given that the average price for houses in the area is $280,000 and the standard deviation is $12,000, we can use the z-score formula to find the price of a house whose z-score is 2.5:

z = (x - mu) / sigma

where x is the price of the house, mu is the mean price of houses in the area, and sigma is the standard deviation of the price of houses in the area.

In this case, we are looking for the value of x, which is the price of a house whose z-score is 2.5, so we can rearrange the formula to solve for x:

x = (z * sigma) + mu

x = (2.5 * $12,000) + $280,000

x = $350,000

So the price of a house whose z-score is 2.5 is $350,000

It's worth noting that the value of Z-Score 2.5 is considered an outlier, it is usually very rare to find houses that far from the average and standard deviation.

Answer:

p = -7

Step-by-step explanation:

1) added up the like therms

-p -7 = 0

2) multiply by -1

p+7 = 0

3) add at both members -7

p+7-7 = -7

p= -7

The problem can be solved using algebra. Let's say the discount rate is x, then the price after discount is:

60000 (1 - x/100)

The price after VAT is:

60000 (1 - x/100) (1 + y/100) = 58986

Where y is the rate of VAT.

Rearranging the equation we get:

(1 - x/100) (1 + y/100) = 58986/60000

Multiply both sides by 100 to get rid of the fractions:

100 (1 - x/100) (1 + y/100) = 981

Expanding and grouping like terms, we get:

100 - x + 100y - xy = 981

We can see that x is in two terms, so we can move one side of the equation and get:

100 - x + 100y = 981 + x

x = (981 + x - 100 + 100y)/100 = (981 + xy - 100y)/100

Now we have x in only one term and we know the value of x is 10%, so we can substitute it:

10 + 10y = 9.81

Solving for y we can find that y = 0.81 or 81%

So the VAT rate is 81%

In the case of a 24-pack for $5. 49, the cost of the unit is the lowest.

The cost per item is nothing to the amount of money invested in buying one item.

As we have 3 different scenarios:

Case A. 6- pack for $2. 49

As here. cost of 6 packs is $2.49, so for determining the cost of one pack we will divide $2.49 by 6.

So, the cost of 1 pack will be = 2.49/6 = 0.415 $/pack

B. 12-pack for $3. 99

As here. cost of 12 packs is $3.99, so for determining the cost of one pack we will divide $3.99 by 12.

So, the cost of 1 pack will be = 3.99/12 = 0.3325 $/pack

C. 24-pack for $5. 49

As here. cost of 24 packs is $4.49, so for determining the cost of one pack we will divide $5.49 by 24.

So, the cost of 1 pack will be = 5.49/6 = 0.22875 $/pack

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Answer:

900π

Step-by-step explanation:

surface area of a sphere: 4πr²

=> 4 × π × 15²

=> 900π

The equations which show direct proportion between a and b are:

a=2b and a=b/2.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.

Example: x and y are two quantities or variables which are linked with each other directly, then we can say x ∝ y. When we remove the proportionality symbol, the ratio of x and y becomes equal to a constant, such as x/y = C, where C is a constant.

Given, two variables a and b

If two variables a and b are in direct proportion

then,

a/b = constant.

1. a = b²

a/b = b

which is not constant

⇒ a is not in direct proportion with b.

2. a = 2b

a/b = 2

which is constant

⇒a is in direct proportion with b.

3. a = b/2

a/b = 1/2

which is constant

⇒ a is in direct proportion with b.

4. a=b+2

a/b = 1+2/b

which is not constant

⇒ a is not in direct proportion with b.

5. a = 2/b

ab = 2

⇒a is inversely proportional to b.

Hence, In equation a=2b and a=b/2, a is directly proportional to b.

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The examples of horizontal symmetry is B, C, H, E.

The term horizontal symmetry is defined as is a line about which the object is symmetric.

Here we know that the symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry.

Which defines that  the axis here crosses across the shape to cut it into two equal parts.

Therefore, the English alphabets such as B, C, H, E, are the examples of horizontal symmetry.

In this case, here we have a horizontal line passing through the middle of the image and when the image is folded along this line, then we get the two halves overlapping and coinciding perfectly.

Therefore, this one is also an example for this could be a square or a rectangle or any other object that is symmetric horizontally.

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Answer: imma go with b brother

Step-by-step explanation: