Triangle ABC has side lengths 12, 16, and 20. Do
the side lengths form a Pythagorean triple?
Explain.

Answer:

  5 m

Step-by-step explanation:

The length of the side of a square is the root of the area of the square. The area of this square is the difference between the trapezoid area and the triangle area.

__

  square area = trapezoid area - triangle area

  square area = 57.5 m² -32.5 m² = 25 m²

Then the side length is ...

  side length = √(square area) = √(25 m²)

  side length = 5 m

The length of a side of the square is 5 m.

The diagram involves the construction for copying angle FDE as angle HCG.

An angles is formed by the intersection of two or more lines. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are equal to 90 degrees.

The diagram involves the construction for copying angle FDE as angle HCG.

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The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.

The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.

The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.

The area of a circle is found as;

A = πr²

A = π(7.2 ft)²

A = 162.78 ft²

The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;

[tex]\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2[/tex]

Hence the area of the sector will be 59.19 ft².

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Answer: -20/21

Step-by-step explanation:

Using the Pythagorean identity, we can get that the sine of angle theta is [tex]\pm 20/29[/tex].

But since theta terminates in Quadrant II, the sine of angle theta is positive, meaning that it has a value of 20/29.

Now, since tan = sin/cos, tan theta = (20/29)/(-21/29) = -20/21

Answer:

C , F

Step-by-step explanation:

you need to divide both sides by 3 in order to get x

3x = 12

x = 4.

the property is the division property of equality.

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Answer: 98g

Step-by-step explanation:Given relationshipSalt    >>  Honey  >> Flour10      >>  14          >> 425     >>  35        >> 10It is easy to determine that the relationship is:14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:y = 1.4*70 = 98 g

The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]

The formula for calculating the confidence interval for proportion is expressed as:

[tex]p \pm z\sqrt{p(1-p)/n[/tex]

p is the proportion

z is the z score at 99% interval

n is the sample size

Given the following parameters

[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]

Substitute the values

[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]

Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]

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Answer:

[tex]\displaystyle 9,6[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]

OR

[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

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Answer:

Min = 4

Q1 = 9.5

Median = 13

Q3 = 16

Max = 19

Step-by-step explanation:

4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19

          Q1             Q2               Q3

Min (minimum value) = 4

Q1 (middle value of values before Q2) = (9 + 10) / 2 = 9.5

Median (middle value) = 13

Q3  (middle value of values after Q2) = (15 + 17) / 2 = 16

Max (maximum value) = 19

Answer:

31.8  cm^2

Step-by-step explanation:

Area of WHOLE circle  = pi r^2

semicircle is 1/2 of this    ( r = 1/2 of the diameter)

  1/2 pi r^2

  1/2 pi  (9/2)^2 =

Answer:

3 7/8 would be your answer

Answer:

  (c)  1/2(10×6) = 30

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

The shaded triangle has a base of 10 feet and a height of 6 feet. Using these numbers in the formula, the area in square feet is ...

  A = 1/2(10×6) = 30 . . . . square feet

This expression matches the 3rd choice.

Answer:

[tex](1,1)[/tex]

Step-by-step explanation:

If you graph it, You can see that the last point will be [tex](1,1)[/tex].

Hope This Helps!

The functions of DoorDash and UberEats are linear functions and piecewise functions

This is the point where the input value is 0 i.e. x = 0.

From the table, we have:

(x,y)= (0,2.50)

From the graph, we have:

(x,y)= (0,5)

Hence, the y-intercepts are $2.50 and $5, respectively

This is the point where the output value is at the highest

From the table, we have:

(x,y)= (25,12.00)

From the graph, we have:

(x,y)= (20,8.00)

Hence, the maximum of the functions are $12.00 and $8.00, respectively.

This also represents the maximum salaries of working in both companies

This is the point where the values of both functions are equal

From the table and the graph, we have:

(x,y)= (25,12.00)

Hence, the point where the salaries are the same is (25, 12.00)

DoorDash has a higher maximum salary; so I would choose to work at DoorDash

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Answer:

A. -2s^2 + 15s - 4

Step-by-step explanation:

well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.

so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.

Question:

The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)

Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft

Not fully sure....

But it should be right...

Answer:

4(5c-2d)

Step-by-step explanation:

if you mean in factorization

Answer:

a) k(x) = 5x - 2

x = 5(y) - 2

5y = x + 2

y = (x+2)/5

k-¹(x) = (x+2)/5

b) h(x) = (x+10)/(x-3)

x = (y+10)/(y-3)

x(y-3) = y + 10

xy -3x = y + 10

xy - y = 3x + 10

y(x-1) = 3x + 10

y = (3x + 10)/(x-1)

h-¹(x) = (3x+10)/(x-1)

Answer:

it is option b

Step-by-step explanation:

Pls do let me know in the comments for complete explanation

Step-by-step explanation:

1 ounce = 28grams

x grams = 392

x = 392/28

x = 14.oo ounces

Answer:

PR = 7.99 cm (2 dp)

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

From inspection of the triangle:

Substituting the given values into the formula;:

⇒ a² + b² = c²

⇒ PR² + 12.1² = 14.5²

⇒ PR² + 146.41 = 210.25

⇒ PR² = 210.25 - 146.41

⇒ PR² = 63.84

⇒ PR = ±√(63.84)

⇒ PR = ±7.99 (2 dp)

As distance is positive, PR = 7.99 cm (2 dp) only

Answer:

90°

Step-by-step explanation:

A right angle is 90° ,learned that in elementary.

Answer:

A right angle is an angle with a 90 degree corner.

Step-by-step explanation:

Answer:

140 degrees.

Step-by-step explanation:

All circles are made up of [tex]360^\circ[/tex]. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of [tex]360^\circ[/tex]

Notice the little red box, which indicates a [tex]90^\circ[/tex] angle. From the circle, we know the following angles:

[tex]\angle{RQS}=130^\circ[/tex]

[tex]\angle{TQS}=90^\circ[/tex]

We can write and solve an equation to solve for the missing angle, [tex]\angle{RQT}[/tex]:

[tex]\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ[/tex]

Combine like terms:

[tex]230^\circ+\angle{RQT}=360[/tex]

Subtract [tex]230^\circ[/tex] from both sides:

[tex]\angle{RQT}=140^\circ[/tex].

Answer:

5 feet

Step-by-step explanation: 60 divided by 12 inches is 5 feet

Answer:

p(b|a) =5/7

Step-by-step explanation:

hello :

note : p(b|a) = p(a and b)/p(a)

p(b|a) = 25/35 =5/7

The value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is probability of occurrence of A given that B already occurred.

We're given that:

Using the chain rule of probability, we get:

[tex]P(A \cap B) = P(A)P(B|A) \\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.25}{0.35} = \dfrac{5}{7}[/tex]

Thus, the value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7

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Answer:

I think Angle T is 36 degree

I think it will help you

Answer:

Over 2 up 4

Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6

Answer:

48 ounce bag of granola per month.

T = 48x

Where 'x' represents the months.

Replace x with 12, because we want to know how many ounces she eats each year.

T = 48x

T = 48(12)

T = 576 ounces, she eats each year.