which of the following is not a solution to the equation -2x + 3y = 9A) (0, 3)B) (-6, -1)C) (-3 , 1)D (1 , -3

The value of Tanθ is 20/21.

What is Pythagorean Theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: sinθ = -20/29 and that angle terminates in quadrant III.

We have to find the value of tanθ.

Using the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.

Sinθ = Perpendicular/hypotenuse

Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.

Adjacent = - √Hypotenuse² - perpenducualr²

Replace the known values in the equation.

Adjacent = -√29² - (-20)²

Adjacent = -21

Find the value of tangent.

Tanθ = Perpendicular/base

Tanθ = -20/(-21)

Hence, the value of Tanθ is 20/21.

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A 99% confidence interval for the population mean is (2.50,3.02) when the average number of meals outside the home each week was 2.76.

Given that,

The number of meals young married couples ate outside the home each week was compiled by the American Restaurant Association. A survey of 60 couples revealed that 2.76 meals were eaten outside the home on average each week, with a standard deviation of 0.75 meals.

We have to create a 99% confidence range for the population mean.

We know that,

99% Confidence Interval

x  ± t(α/2, n-1) S/√(n)

t (α/2, n-1) =  t(0.01 /2, 60- 1 ) = 2.662

2.76  ±  2.662 × 0.75/√(60)

Lower Limit = 2.76 - 2.662 × 0.75/√(60)

Lower Limit  =  2.50

Upper Limit = 2.76 + 2.662 ×  0.75/√(60)

Upper Limit  =  3.02

99% Confidence interval is ( 2.50,3.02 )

Therefore, A 99% confidence interval for the population mean is (2.50,3.02) when the average number of meals consumed outside the home each week was 2.76.

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Answer:

-10

Step-by-step explanation:

when a number Inside of parentheses is close to another number (like being near a fireplace trying to say warm) it means to multiply :3 !

Example: (3)2=6           6(6)=36

in our case it is (-5)2        So was ist -5 x 2? -10

hope this helped!

for some extra practice to check your knowledge, what is (-3+-2)2 ?

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

13

Step-by-step explanation:

→ Complete the division first

4 ÷ 2 = 2

11 + 2

→ Add

13

The long leg and the hypotenuse of the isosceles right triangle will be 7.07 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The short leg of a 90-45-45 triangle is 5.

The right triangle is an isosceles right triangle. Then the two side will be same.

Then the long leg and the hypotenuse will be

H² = 5² + 5²

H² = 25 + 25

H² = 50

H = 7.07 units

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The total surface area of cylinder B will be 720 cm²

It should be noted that the Formula for total surface area of a cylinder is;

TSA = 2πr² + 2πrh

We are told that the total surface area of cylinder A is 180cm². Thus;

2πr² + 2πrh = 180

Now, we are told that the height of cylinder B is twice the height of cylinder A.

This means that the length scale factor is 2. And as such the area scale factor is 2² = 4.

Thus area of cylinder B = 180 × 4 = 720 cm²

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The two cylinders, A and B are mathematically similar.

The height of cylinder B is twice the height of cylinder A

The total surface area of cylinder A is 180cm squared

Calculate the total surface area of cylinder B.

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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Answer:

3/5

Step-by-step explanation:

1/2 can be written as 50%

2/3 can be written as 66.66%

3/5 can be written as 60%

Here

Step-by-step explanation:

The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.

Answer:

4. i think

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

6(2.3)-(3.5+2.3)

13.8-5.8

=8

Answer:

x = 135º

Step-by-step explanation:

Sum of angles in a triangle is 180

A = 180 - 66 - 69

A = 45º

--------------------

Supplementary angles  total 180

x = 180 - 45

x = 135º

Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Answer:

The answer is 6

Step-by-step explanation:

Answer on Edgenuity

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

The value of TV for the similar triangles is 25

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

Similar triangles are not the same as congruent triangles though.

triangle UXW and UTV are similar since line TV cuts lines UX and UW in the same proportion.

Let UV = p, it means also that WV = P. which means WU = 2p

so since the two triangles are similar, the ratio of their corresponding lengths are equal

meaning,

UV/UW = TV/XW

substituting their values, we have

p/2p = TV/50

by cross multiplying,

2p x TV = 50p

2TV = 50

TV = 50/2 = 25

In conclusion,  the value of TV is half the value of WX = 25

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Answer:

Step-by-step explanation:

Answer:

It is $1.50 or $18 per dozen tennis balls

Step-by-step explanation:

1. Divide the total price by the number of tennis balls.

36/24= 1.50

So it cost $1.50 per tennis ball.

2. Then solve by dividing the total price by the number of tennis balls:

36/2= $18

"So it cost $18 per dozen tennis balls"

It is $1.50 or $18 per dozen tennis balls

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

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Answer:

100%

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

90 ÷ 9 = 10

Answer:

10

Step-by-step explanation:

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

No

Step-by-step explanation:

No, it's not a function as it fails the vertical line test

Answer:

500

Step-by-step explanation:

Answer:

• from first principles rule:

\({ \boxed{ \bf{ \frac{ \delta y}{ \delta x} = {}^{lim _{x} } _{h \dashrightarrow0} \: \frac{f(x + h) - f(x)}{h} }}}\)

• f(x) → (csc x)^½

• f(x + h) → {csc (x + h)}^½

\({ \rm{ \frac{ \delta y}{ \delta x} = {}^{lim _{x} } _{h \dashrightarrow0} \: \frac{ \{\csc(x + h) \} {}^{ \frac{1}{2} } - (\csc x ) {}^{ \frac{1}{2} } }{h} }} \\ \\ \hookrightarrow \: { \tt{rationalise : }} \\ \\ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{ \csc(x + h) - \csc x }{h \{ \{\csc(x + h) \} {}^{ \frac{1}{2} } + ( \csc x) {}^{ \frac{1}{2} } \} } }} \\ \\ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - (\sin (x + h))( \csc x)}{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} \\ \\ = { \rm{ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - ( \sin(x) \cos(h) + \cos(x) \sin(h)) \csc x }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} }} \\ \\ = { \rm{ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - \cos(h) + \cot(x) \sin(h) }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} }} \\ \\ { \tt{but : \sin(h) \approx h}} \\ { \tt{ : \cos(h) \approx 1 }} \\ \\ = { \rm{{{}^{lim _{x} } _{h \dashrightarrow0 \: } \: \frac{h \cot(x) }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } } }}} \\ \\ { \tt{h \: tends \: to \: 0}} \\ \\ { \boxed{ \rm{ \frac{dy}{dx} = - \frac{1}{2 \sqrt{ \cot(x) \csc(x) } } }}}\)

Answer:

The sales tax for the refrigerator would be $31.53

Hope this helps!

Brainliest??

Answer:

Sales for refrigerator in dollar and cents is $31.53.

Step-by-step explanation

6/100 X $525.50 =

0.6 X $525.50 = $31.53.

The length of BC is 16cm, the length of AB is 8√3cm, and the length of AC is 8cm. In a right triangle, the side opposite the right angle is the hypotenuse, while the other two sides are the legs.

Let's label the sides of the triangle ABC as follows:

BC is the hypotenuse, opposite to the right angle at B.

AB is a leg, adjacent to the angle A.

AC is a leg, opposite to the angle A.

Given that the area of the triangle is 32√3cm^2, we have:

(area) = (1/2) x (base) x (height)

Substituting the values we know, we get:

32√3 = (1/2) x AB x AC

Simplifying, we get:

AB x AC = 64√3

We also know that <A = 30 degrees, which means that <C = 60 degrees (since the angles in a triangle add up to 180 degrees).

Now we can use the trigonometric ratios to find the lengths of the sides. We have:

sin(30) = AC/BC

cos(30) = AB/BC

Solving for AC and AB, we get:

AC = BC x sin(30) = BC/2

AB = BC x cos(30) = BC√3/2

Substituting these values into the equation we got earlier, we get:

(BC/2) x (BC√3/2) = 64√3

Simplifying, we get:

BC^2 = 256

Taking the positive square root, we get:

BC = 16

Substituting this value into the equations we got for AB and AC, we get:

AB = BC√3/2 = 8√3

AC = BC/2 = 8

Therefore, the length of BC is 16cm, the length of AB is 8√3cm, and the length of AC is 8cm.

The complete question is:

right triangle ABC has area 32√3cm^2. The measure of <A = 30, m<B=90. What is the length of BC? AB? AC? Express all answers in simplest radical form.​

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