the slide part of a water slide is 89 feet long and makes a 42 angle of depression with the ground, how high up in the air do you start your ride?

The unit circle is the circle centered at with radius The unit circle is a circle centered at the origin with a radius of 1 unit. It plays a fundamental role in trigonometry, providing a geometric representation of the trigonometric functions

The unit circle is a circle that is centered at the origin (0, 0) of a coordinate plane and has a radius of 1 unit. In other words, it is a circle with a diameter of 2 units.

The unit circle is particularly significant in mathematics, especially in trigonometry. Its properties and relationships with angles are extensively used in various mathematical applications.

One of the main reasons the unit circle is so important is due to its connection with the trigonometric functions sine and cosine. As an angle rotates around the origin,

the coordinates of the point on the unit circle where the terminal side of the angle intersects the circle correspond to the values of sine and cosine of that angle.

For example, if an angle of 30 degrees is measured counterclockwise from the positive x-axis, the coordinates of the corresponding point on the unit circle would be (√3/2, 1/2), which are the values of sine and cosine for that angle.

Additionally, the unit circle provides a convenient way to visualize and understand other trigonometric functions such as tangent, cotangent, secant, and cosecant.

By examining the ratios of the coordinates on the unit circle, we can relate these trigonometric functions to the lengths and angles associated with right triangles.

In summary, the unit circle is a circle centered at the origin with a radius of 1 unit. It plays a fundamental role in trigonometry, providing a geometric representation of the trigonometric functions and aiding in the understanding of angles, ratios, and relationships within the field of mathematics.

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The probability that she wins the next two matches is 36% or 0.36

How to calculate the probability of two matches?

Given,

She believes that the outcome of each match is independent. So, the outcome of next match does not depend on the previous match, is called independent event.

The probability of winning one match is 0.6

Since the outcome of each match is independent, we easily get the probability of she winning the next two matches by multiplying the probability of she winning per match. So,

Probability she wins the next two matches = 0.6 x 0.6

= 0.36 or 36%

Thus, the probability that she wins the next two matches is 36% or 0.36

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Answer:

y = 48

Step-by-step explanation:

Plug in 7 for x:

y = x² - 1

y = (7)² - 1

Simplify. Remember to follow the order of operations, PEMDAS.

PEMDAS stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

~

First, solve the power, then subtract:

y = (7)² - 1

y = (7 * 7) - 1

y = (49) - 1

y = 48

48 is your value for y.

~

Answer:

Can you please provide more information about the rectangle? Do you have a graph or some points?

Answer:c

Step-by-step explanation:

Answer:

71°

142°

Step-by-step explanation:

\( \because QS \: is \: the \: bisector \: of \: \angle \: PQR\\

\therefore m\angle RQS =m\angle PQS\\

\because m\angle RQS = 71\degree...(given) \\

\huge \red{ \boxed{\therefore m\angle PQS = 71\degree}} \\ \because \: m\angle \: PQR = m\angle PQS + m\angle RQS \\ \because \: m\angle \: PQR = 71\degree + 71\degree \\ \huge \purple{ \boxed{\therefore \: m\angle \: PQR = 142\degree}}\)

Answer:

37/10

Step-by-step explanation:

brainliest plz

for first answering

Answer:

3 7/10

Step-by-step explanation:

️️️️️️️️️️️

Answer:

Step-by-step explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

\(AL=\frac{\theta}{360}*2 \pi r\) and filling in:

\(8.73=\frac{\theta}{360}*(2)(3.14)(10)\) which simplifies to

\(8.73=\frac{62.8\theta}{360}\) which simplifies a bit more to

\(\frac{360(8.73)}{62.8}=\theta\) so

\(\theta=50.04\) degrees. That means that arc DE also measures 50.04 degrees.

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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Out of 130 people number of youths attended the assembly are 26.

2) Given that, Five best friends agreed to save 10% from their daily allowance of PhP 100. 00

So, money saved by 5 friends = 5×10% of 100

= 5×10/100 ×100

= $50

Time taken to save PhP 200.00 = 200/50

= 4 days

3) Given that, in a barangay assembly, 130 people attended.

80% of attendees were parents.

So, the percentage of youths = 100-80

= 20%

Number of youths = 20% of 130

= 26

4) Given that, 15% of our class of 40 was unable to join the District Meet.

Number of students attended the District Meet = (100-15)% of 40

= 85/100 ×40

= 8.5×4

= 34

5) Out of 350 people who attended, 70% were female.

Number of male = (100-70)% of 350

= 30/100 ×350

= 105

6) Given that, 60 men in barangay Caguisan

Number of farmers = (100-60)% of 60

= 40% of 60

= 40/100 ×60

= 24

7) The 10 on-going projects in the Province of Palawan, 70% are fully implemented.

= 70% of 10

= 7/100 ×10

= 7

Therefore, out of 130 people number of youths attended the assembly are 26.

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Answer:

(-4,-3)

Step-by-step explanation:

Answer:

(-4, -3)

Step-by-step explanation:

well, the only points possible are 3 points, a first, 2nd, and 3rd point. And the 2nd point is the mid-point.

Answer:

last one I think djssns word words

Answer:

Step-by-step explanation:

The answer is $27.21

First, you want to calculate the cost of her drink. 22.67-13.59=9.08. This is the cost of 2 drinks. Dividing by 2, you can get $4.54 per drink. Adding this to the card's value after the first drink, we get 22.67+4.54=27.21

Step-by-step explanation:

as this is total 90°angle

68°+x = 90 °

x = 90°-68°

x = 22 °

also

68° + 22 ° = 90 °

Answer:

90 - 68 = 22

the whole angle is 90

if we substract 68 from 90 , we will get the answer.

The relationship between the figure JKLM and it's image, J'K'L'M' following a dilation by a scale factor of 1 is that JKLM and J'K'L'M' have the same dimensions, and location

Scale factors are numbers that are used to multiply a quantity to scale it by a given rate.

Part A

In order to easily describe the relationship between the image J'K'L'M' and the original figure JKLM, the point J can be taken as the origin such that the image vertices are obtained by dilating the points on the original figure in their original direction relative to J using the specified scale factor.

The coordinates of the vertices of JKLM relative to J are;

J(0, 0), K(6, 0), L(6, -6), M(0, -6)

Distance of K from J = 6 - 0 = 6 units to the right of K

Therefore, using a scale factor of 1;

The distances of the vertices of square J'K'L'M' from point J are the same and in the same direction as the distances of the vertices of square JKLM from point J.

The vertices of J'K'L'M' using a scale factor of 1 are therefore located at the same coordinates as the vertices of square JKLM

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Answer:

First one:

P: 31

A: 55

Second one:

A: 112

Step-by-step explanation:

First one for perimeter could up all of the lengths. For area divide into 2 rectangles. Second one use formula for triangle.

Answer:

A

Step-by-step explanation:

Answer:

0.13

Step-by-step explanation:

change of heat: 35-25 =10 degrees

mass=20

energy=26

c =??

c = Q / (m * ΔT)

   =26/20*10= 26/200=0.13 J/g*k

θ^ is said to be (the most) efficient only if var(θ^) is the minimum within the group of all linear unbiased estimators for θθ. Therefore, the option d.

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The description of the transformation f(x) = -2x- 4 and r(x) = f(1/2x) is that the function f(x) is compressed horizontally by a factor of 2 to form r(x)

The equations of the functions are given as

f(x) = -2x- 4

r(x) = f(1/2x)

The equation r(x) = f(1/2x) implies that the function f(x) is compressed horizontally by a factor of 2

Hence, the description of the transformation f(x) = -2x- 4 and r(x) = f(1/2x) is that the function f(x) is compressed horizontally by a factor of 2 to form r(x)

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Answer:

Step-by-step explanation:

\(\lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

\(WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}\)

Since triangle WXY is Isosceles, \(\angle XYW=45^\circ\)

\(\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ\)

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

\(WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7\)

The value of a in the triangle illustrated is 7.

From the information, the length of WY will be:

WY = ✓4² + ✓4²

WY = ✓32

Therefore, angle WYZ will be:

= 135° - 45°

= 90°

Therefore, the value of a will be calculated thus:

a² = 9² - (✓32)²

a² = 81- 32

a = ✓49

a = 7

In conclusion, the value of a is 7.

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Answer:

m∠QPR = 25°.

Step-by-step explanation:

If m∠QPR = 9x + 16°, substitute in 1 for 'x':. 9(1) + 16 = 9 + 16 = 25°

Answer: B

Step-by-step explanation: Y+5=4(X-2) in slope-intercept form is Y=-4X+3

Answer:

Step-by-step explanation:

The correct answer is A.

The inverse of a function is the function that reverses the output and input of the original function. In other words, if f(x) = y, then the inverse of f(x) is y = f^(-1)(x).

To find the inverse of f(x), we start by replacing f(x) with y. This gives us the equation y = 3(x + 2)2 – 5. We then solve for x in terms of y.

First, we add 5 to both sides of the equation. This gives us y + 5 = 3(x + 2)2.

Then, we divide both sides of the equation by 3. This gives us (y + 5)/3 = (x + 2)2.

We take the square root of both sides of the equation. This gives us sqrt[(y + 5)/3] = x + 2.

Finally, we subtract 2 from both sides of the equation. This gives us sqrt[(y + 5)/3] - 2 = x.

Answer:

R = \(\frac{NP+C}{N}\)

Step-by-step explanation:

Given

P = R - \(\frac{C}{N}\) ( multiply through by N to clear the fraction )

NP = NR - C ( add C to both sides )

NP + C = NR ( divide both sides by N )

\(\frac{NP+C}{N}\)

The expression 4y-9x+3y-2x when simplified gives 7y - 11x

Algebraic expressions are known as expressions consisting of terms, coefficients, variables, constants and factors.

They also consist of mathematical operations such as;

Example of algebraic expressions;

y - 2x

9x - 18z

From the information given, we have that;

4y-9x+3y-2x

To simplify the expression, we have to take the following steps

Collect like terms

4y + 3y - 9x - 2x

Add or subtract like terms

7y - 11x

We can see that the expression is simplified to 7y - 11x

Thus, the expression 4y-9x+3y-2x when simplified gives 7y - 11x

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Angle AZJ

If you add both of them, answer will be equal to 90°.

Answer:

Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.

Answer:

51

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2p² + 3s

Step 2: Define variables

p = 3

s = 11

Step 3: Replace variables

2(3)² + 3(11)

Step 4: Evaluate

2(9) + 33

18 + 33

51