Explain why sine ratio has a macimum value of 1??

Answers

Answer 1

Answer:

The maximum length of the opposite side of a right triangle equals the length of the hypotenuse.

Step-by-step explanation:

Answer 2

Answer:  The maximum possible value of a sine ratio would be 1. This is because the sine of an angle in a right triangle is defined as the ratio of the opposite side to the hypotenuse, and the hypotenuse is the longest side in any right triangle. So, the ratio can never be greater than one.

HOPE THIS HELPS


Related Questions

10=z+6 plsss solve !!!!

Answers

Answer:

z=4

Step-by-step explanation:

10=z+6

10-6=z

z=4

Answer:

z = 4

Step-by-step explanation:

10 = z + 6

z = 10 - 6 = 4

I need some more letters to post

find the volume of the prism

Answers

Answer:

The volume is: [tex]135m^3[/tex]

Step-by-step explanation:

Given

[tex]h = 5m[/tex] ---- height

[tex]l=9m[/tex] -- length

[tex]w = 6m[/tex] --- width

Required

Determine the volume (V)

The volume of a triangular prism is:

[tex]V = 0.5lwh[/tex]

So, we have:

[tex]V = 0.5 * 5m * 9m * 6m[/tex]

[tex]V = 135m^3[/tex]

Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π

Answers

Answer:

401.92

Step-by-step explanation:

[tex]volume=\pi r^{2} h[/tex]

3.14 x (4x4) x 8 = 401.92

What is the radius of a hemisphere with a volume of 19160 ft', to the nearest tenth
of a foot?

Answers

I think the answer is 20.9

Asap: Write an equation to represent this hanger:

Answers

5x + 2 = 17

where x = 3

i hope this may be helpful

5. Which statement is NOT TRUE about the function: y = -3x + 14 a. The Slope = -3 and the y-intercept = 14 b. A solution to this equation is (-1, 11) C. The equation is a Linear function d. The graph of the function passes through (4, 2)​

Answers

Answer:

B

Step-by-step explanation:

Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.

Required:
a. Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user").
b. Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.

Answers

Answer:

Hence, the probability of a Negative test is [tex]P(T^C)=0.5904[/tex].

Step-by-step explanation:

(a)

Let [tex]D=[/tex] Drug user and [tex]T=[/tex] Test positive

Probability of drug users [tex]P(D)=36\%=0.36[/tex]

                                    [tex]P(\frac{T}{D})=96\%=0.96[/tex]

                                   [tex]P(\frac{T^c}{D^c})=90\%=0.90[/tex]

(b)

Find the Probability of a Negative test,

     [tex]P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)[/tex]

[tex]\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36[/tex]

[tex]\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36[/tex]

[tex]\Rightarrow P(T^C)=0.576+0.0144[/tex]

[tex]\Rightarrow P(T^C)=0.5904[/tex]

Interest charged when you miss a payment is called _____. A. accrued interest B. late interest C. past due interest D. late payment interest

Answers

Answer:

A

Step-by-step explanation:

Answer:

its d , Late payment interest

Step-by-step explanation:

A classroom has a perimeter of 62.25m. What is the absolute error of the perimeter?​

Answers

Answer:

0.005m

Step-by-step explanation:

Measuring properties of a given entity is always prone to error and hence leads to inaccuracy in the resulting measurement. One of such errors is the absolute error.

Absolute error is the difference between the actual/exact value and measured value.

The classroom has been measured to have a perimeter of 62.25m. This shows that it is accurate to 0.01 of a meter. This means that the actual measurement of the classroom could either be 0.005m more or less than the measured value.

In other words, the actual value of the classroom is

62.25 ± 0.005 m

This difference of 0.005 m gives the absolute error.

Pleaseee helppp!!! (Im looking for the x)

Answers

Answer:

[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]

Step-by-step explanation:

i hope this is helpful

The answer is 52
Look at the picture for working out

Evaluate the following expression when a = 5.
4a2 + a-3

Answers

4(5)2+5-3
40+5-3
45-3
42

Select the correct answer from each drop-down menu.

40
45
50
55
60
65
70
75 80
85
For this data set, the best measure of center is the
and its value is

Answers

The best measure of center is the MEAN and it’s value is 62.5

It’s been a minute since I’ve done this stuff but I’m pretty sure that would be it

In general, categorical data ___but do not___
O A. classify; measure
O B. measure; classify
O C. value; measure
O D. none of the above

Answers

Answer:

The answer is A Lma/o

Step-by-step explanation:

How to convert the following amounts to a mixed fraction 150/49​

Answers

Answer:

[tex]3\frac{3}{49}[/tex]

Step-by-step explanation:

This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.

Answer:

You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.

Step-by-step explanation:

A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base. The base needs to be stronger than the sides, so it costs more. The base costs $9 per f t 2 , while the sides only cost $6 per f t 2 . We wish to find the dimensions of the box that minimize the cost of material used.

Answers

Answer:

[tex]Width = 4ft[/tex]

[tex]Height = 4ft[/tex]

[tex]Length = 8ft[/tex]

Step-by-step explanation:

Given

[tex]Volume = 128ft^3[/tex]

[tex]L = 2W[/tex]

[tex]Base\ Cost = \$9/ft^2[/tex]

[tex]Sides\ Cost = \$6/ft^2[/tex]

Required

The dimension that minimizes the cost

The volume is:

[tex]Volume = LWH[/tex]

This gives:

[tex]128 = LWH[/tex]

Substitute [tex]L = 2W[/tex]

[tex]128 = 2W * WH[/tex]

[tex]128 = 2W^2H[/tex]

Make H the subject

[tex]H = \frac{128}{2W^2}[/tex]

[tex]H = \frac{64}{W^2}[/tex]

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

[tex]A = LW + 2(WH + LH)[/tex]

The cost is:

[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]

[tex]Cost = 9 * LW + 12(WH + LH)[/tex]

[tex]Cost = 9 * LW + 12H(W + L)[/tex]

Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]

[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]

[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]

[tex]Cost =18W^2 + \frac{2304}{W}[/tex]

To minimize the cost, we differentiate

[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]

Then set to 0

[tex]2*18W + -1 * 2304W^{-2} =0[/tex]

[tex]36W - 2304W^{-2} =0[/tex]

Rewrite as:

[tex]36W = 2304W^{-2}[/tex]

Divide both sides by W

[tex]36 = 2304W^{-3}[/tex]

Rewrite as:

[tex]36 = \frac{2304}{W^3}[/tex]

Solve for [tex]W^3[/tex]

[tex]W^3 = \frac{2304}{36}[/tex]

[tex]W^3 = 64[/tex]

Take cube roots

[tex]W = 4[/tex]

Recall that:

[tex]L = 2W[/tex]

[tex]L = 2 * 4[/tex]

[tex]L = 8[/tex]

[tex]H = \frac{64}{W^2}[/tex]

[tex]H = \frac{64}{4^2}[/tex]

[tex]H = \frac{64}{16}[/tex]

[tex]H = 4[/tex]

Hence, the dimension that minimizes the cost is:

[tex]Width = 4ft[/tex]

[tex]Height = 4ft[/tex]

[tex]Length = 8ft[/tex]

Four office desks that are 4 1/8 feet long are to be placed together on a wall that is 16 5/8 feet long. Will they fit on the wall?

Answers

yes, yes they will fit on the wall

The Unit Circle

What is cos 180°?

a. 0
b. 1
c. -1
d. 1/2

Please select the best answer from the choices provided

Answers

Answer:

C. -1

Step-by-step explanation:

I calculated it logically

Answer:

-1

Step-by-step explanation:

cos = opp/hyp

At 180º

adj  = -1

hyp = 1

Cos 180 = -1/1 = -1

A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25
How far horizontally from the tower is the vehicle, to one decimal place? (​

Answers

Answer:

Solution given:

height[p]=20m

angle of depression [a]=25°

base[b]=?

we have

Tan a=p/b

tan 25=20/b

b=20/tan25

b=42.89 or 43

the tower is 43m far from the vehicle .

Help jkdkdodjdjdjjsidjdkdkdjnddijdkdjsidjdndkxjkdodjdkdkdkdk it had to be 20 characters long

Answers

Answer:

part 1. -1 1/2

part 2. On letter A

Explanation:

D=0

B=-1

C=-1/2

-1 + -1/2= -1 1/2

Answer:

-1 1/2

Step-by-step explanation:

B is -1

C is -1/2

D is 0

-1 + (-1/2) = -1 1/2

Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. 72 ÷ 8 − 2 × ( 3 + 1 ) ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 )

Answers

72 / 8 - 2 x 3 + 1 equals 1

(72 / 8) - 2 x 3 + 1 equals 4

72 / (8 - 2) x 3 + 1 equals 37

72 / (8 - 2) x (3 + 1) equals 48

Following Add-On Contains the content I think your doing:

The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).

What is ascending order?

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The expressions are given below:

72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)

Simplify the expression, then we have

72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)

9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4

1, 2, 37, 48

More about the ascending order link is given below.

https://brainly.com/question/320500

#SPJ2

Sarah earns $340 per week and spends 20% of her earnings on transportation. How much does Sarah spend on transportation every week?

Answers

Answer:

$68

Step-by-step explanation:

=> 20% 0f 340

=> (20/100) * 340

=> (1/5) * 340

=> (340/5) = 68

Sarah spends $68 dollar on transportation.

Thenks and mark me brainliest :)

15 points please help me solve for x

Answers

Answer:

82' is the write answer

and like the answer and follow me

Answer:

[tex]x = 73.74[/tex]°.

Step-by-step explanation:

In order to find the angle measure of [tex]x[/tex], you can use the trigonometric function sine to calculate the value of it. Sine is a trigonometric function used in right triangles to solve for the sides and angles, it states that the sine of an angle is equal to the side opposite to it divided by the hypotenuse. In this case, [tex]sin(x)=\frac{48}{50}[/tex]. If you want to isolate the variable [tex]x[/tex] on one side to calculate its value, take the [tex]sin^{-1}[/tex] or arcsine of both sides. [tex]arcsin(sin(x))=arcsin(\frac{48}{50})[/tex] ⇒ [tex]x = arcsin(\frac{48}{50})[/tex] ⇒ [tex]x[/tex] ≈ 73.74°, so that would be the correct answer.

HELP!! When you solve a
system of equations
What are the three
possible outcomes ???

Answers

9514 1404 393

Answer:

no solutionsa finite number of solutionsan infinite number of solutions

Step-by-step explanation:

Your question is very general, including linear and non-linear equations of any number and/or degree. In the general case you're asking about, there will be ...

no solutions -- no values of the variables satisfy all equationsa finite number of solutions -- all equations are satisfied for some finite set of variable valuesan infinite number of solutions -- equations are dependent (or periodic*) so the set of solutions is an infinite set

__

For 2 linear equations in 2 unknowns, there will be 0, 1, or infinite solutions.

_____

* Aperiodic equations may also have an infinite number of solutions. 1/sin(x)=0 is an example.

Find the missing side lengths. Leave your answers as radicals in simplest form.

Sep by step explanation pls​

Answers

Answer:

[tex]a =22[/tex]

[tex]b = 11[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find a and b

Using cosine formula, we have:

[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]

So, we have:

[tex]\cos (30) = \frac{11\sqrt 3}{a}[/tex]

Make a the subject

[tex]a = \frac{11\sqrt 3}{\cos (30)}[/tex]

[tex]\cos(30) = \frac{\sqrt 3}{2}[/tex]

So, we have:

[tex]a = \frac{11\sqrt 3}{\frac{\sqrt 3}{2}}[/tex]

Rewrite as:

[tex]a = 11\sqrt 3 \div \frac{\sqrt 3}{2}[/tex]

This gives:

[tex]a = 11\sqrt 3 * \frac{2}{\sqrt 3}[/tex]

[tex]a = 11 * 2[/tex]

[tex]a =22[/tex]

To solve for b, we use Pythagoras theorem

[tex]a^2 = b^2 + (11\sqrt 3)^2[/tex]

[tex]22^2 = b^2 + (11\sqrt 3)^2[/tex]

[tex]484 = b^2 + 363[/tex]

Collect like terms

[tex]b^2 = 484 - 363[/tex]

[tex]b^2 = 121[/tex]

Take positive square roots

[tex]b = \sqrt {121[/tex]

[tex]b = 11[/tex]


PLEASE HELP
Which line is a linear model for the data?

THIS ISNT MY ANSWER

Answers

Answer:

The upper left

Step-by-step explanation:

six times a number is equal to the number increased by 15 find the number

Answers

Answer:

3

Step-by-step explanation:

(six times a number) is (equal) to (the number increased by 15)

            6x                          =                            x + 15

6x = x + 15

Subtract x from both sides

5x = 15

Divide both sides by 5

x = 3

Statements True or False 4.086<5.0254.086<5.025 True False 6.37=6.3706.37=6.370 True False 11.716<11.70811.716<11.708 True False 64.28>64.28164.28>64.281 True False 3,756.082<3,756.8023,756.082<3,756.802 True False

Answers

Answer:

4.086 < 5.025                 true

6.37 = 6.370                   true

64.28 > 64.281                false

11.716 < 11.708                 false

64.28 > 64.281                false

3,756.082 < 3,756.802   true

Step-by-step explanation:

First, let's define how the symbols work.

a < b  means that a is strictly smaller than b

a > b means that a is strictly greater than b

Also, for rounding up or down:

Suppose that we want to round to the second decimal after the decimal point.

Then, we need to look at the third one, if it is 5 or larger, we round up.

if it smaller than 5, we round down.

We need to see if each statement is true or not.

a) 4.086 < 5.025

This is true, the number 5.025 is larger than 4.086 (you only need to see at the units digit) So this statement is true.

b) 6.37 = 6.370

Because the third digit is equal to zero, we can round down the right number to 6.37, then the equality is true.

c) 11.716 < 11.708

11.716 is actually larger than 11.708, so this statement is false

d) 64.28 > 64.281

We have that:

64.28 + 0.001 = 64.281

Then 64.281 is larger than 64.28, so this statement is false.

e) 3,756.082 < 3,756.802

By looking at the numbers after the decimal point, we can see that the right number is larger than the left one, then the statement is true.

what is the next term of geometric sequence -1/7,4/7,-16/7

Answers

Answer:

Step-by-step explanation: the answer is 5

Answer:

64/7

Step-by-step explanation:

multiply -16 by -4

What is the quotient?

Answers

Answer:

4 x 10^12

Step-by-step explanation:

Just subtracte the power since it is division

8- (-4)=12

it takes 12 minutes and 36 seconds to walk around the city block. How many seconds did it take?​

Answers

Answer:756

Step-by-step explanation:

Take 12 and multiply it by 60 since that’s how many seconds are in a minute then add 36

Hope this helps

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