In ΔRST, the measure of ∠T=90°, TS = 9, RT = 40, and SR = 41. What ratio represents the sine of ∠R?

Answers

Answer 1

Answer:

sn R=9/41

Step-by-step explanation:

hypotenuse is side opposite to 90 degree.So,here hypotenuse is RS

side opposite to angle R is perpencicular (opposite) is side TS

ratio of sin of angle R is

sin R=opposite/hypotenuse

=TS/RS

=9/41


Related Questions

Item 22
The distance between Cleo's home and work is 9 kilometers. She travels between home and work 36 times each month.

How many kilometers does Cleo travel between home and work each month?

Answers

Answer:

324 kilometres

What I did was do 36x10 which is 360

Then I did 360-36=24 because the question wants 9x36 not 10x36

1. James and Alexis simplified the expression 5 + 42 - 6/3. James' said the answer is
10, while Alexis' said the answer is 19. Who is correct? How do you know? How
should you apply the order of operations to this problem to simplify?

Answers

Answer:

19

Step-by-step explanation:

5 + 4^2 - 6/3

= 5 + 16 - 2

= 21 - 2

= 19

7 kg 365g - 2kg 613g

Answers

5kg -248g bc 7 minus 2 is 5 and 365 minus 613 is negative 248

Answer:

4.752

Step-by-step explanation:

7.365-2.613=4.752

It's because there are 1,000 grams in a kilogram.

you and your four friends go to the water park. it is $10 each for tickets, and y dollars for lunch.
a. use the distributive property to write and simplify an expression for the total the group pays.
b. how much does the group pay when the lunches cost $4?

Answers

Answer:

56 dollars

Step-by-step explanation:

idfk 56 dollars is the answer tho

The terms central location or central tendency relate to the way quantitative data tend to cluster around some middle or central value.

a. True
b. False

Answers

Answer:

A: True

Step-by-step explanation:

It's true because central tendency is defined as a branch of descriptive statistics that shows the centre of the data distribution.

This central tendency could be mean, median or mode.

what is the value of the digit 4 in 543 007?

in 2 453 871, what digit is in the ten thousands place?

what is the place value of digit 3 in 0.371?

what is value of digit 9 in 2.8591?


Please help me thanks for your answer!​

Answers

Answer:

value of 4 in 543007 is 40,000 bc it falls in the 10,000 spot.

If f(x) = x2 + 4, find f(3)

Answers

f(3) represents the x in the equation. If our x is 3 then 3^2+4=13. C.13 must be the answer.

Answer:

c. 13

Explanation:

f(x) = x² + 4

f(3) = (3)² + 4

= 9 + 4

= 13

Determine the location and absolute maximum and absolute minimum for the given function f(x)=(_x+2)^4 where 0

Answers

Answer:

the minimum is 0 and the maximum is 16.

Step-by-step explanation:

For a function f(x), the maximum is defined as:

f(xₐ)

such that:

f(xₐ) ≥ f(x) for every value of x in the domain.

And the minimum is:

f(xₙ)

Such that:

f(xₙ) ≤ f(x)

for every value of x.

Now, in this case we have the function:

f(x) = (-x + 2)^4 in the range  0 < x < 3

First, let's analyze our function.

We can see that the exponent is even, then:

f(x) = (-x + 2)^4

Can be equal to zero or larger than zero.

Then the minimum will be f(x) = 0

To find this, we need to find the value of x such that:

-x +2 = 0

2 = x

Then the minimum is:

f(2) = (-2 + 2)^4 = 0

For the maximum, we can just play with the other values in the range and see which one gives the larger value of f(x).

Again, because f(x) =  (-x + 2)^4 , the maximum will be at the value of x such that:

|-x + 2| is maximized.

As we have a negative sign multiplying x, the smaller value in the range:

x = 0

is the one that maximizes that:

|-0 + 2| = |2| = 2

Evaluating f(x) in x = 0 we get:

f(0) = (0 + 2)^4 = 16

Then the minimum is 0 and the maximum is 16.

if y varies directly as the square root of x and y=87 when x=625, find y if x =390625. Round off your answer to the nearest hundredth

Answers

Answer:

2175

Step-by-step explanation:

y = k sqrt(x)

x = 625

y = 87

87 = k * sqrt(625)

87 = k * 25

87/25 = k

k = 3.48

y = 3.48 * sqrt(390625)

y = 3.48 * 625

y = 2175

onnie measures an object's mass in kilograms.
Which of the following objects is he most likely measuring?
A.

An apple
B.

A bicycle
C.

A paper clip
D.

A pencil

Answers

Answer:

a bicycle

Step-by-step explanation:

Answer:

B.  A bicycle

Step-by-step explanation:

B.  A bicycle

All the others would most likely be in grams

I’m not sure of the answer.

Answers

Step-by-step explanation:

l hope it helps mark the brainliest plzz

Answer:

option c is correct

Step-by-step explanation:

(3x^2 + 3)(4 + x^3)

=3x^2(4 + x^3) +3(4 + x^3)

=12x^2 + 3x^5 +12 +3x^3

=3x^5 + 3x^3 + 12x^2 + 12    

find the value of x. what is the relationship of these 2 angles? set up and solve an equation

Answers

Answer:

the relationship between these two angle is they r straight angle.

101+3x+4=180°105+3x=180°3x=180-105x=75/3x=25°

hope it helps

stay safe healthy and happy.

Step-by-step explanation:

3x+4+101=180

3x+105=180

3x=180-105

3x=75

x=75/3

x=25

we can say it supplemantary angle or straight angle.

hope it helps

have a good and take care.✌✌

Daniel and Joe watched a beetle and a spider on the sidewalk. The beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. How much farther did the beetle crawl than the spider?

Answers

Answer: 3/8 yard

Step-by-step explanation:

Since the beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. To calculate how much farther the beetle crawl than the spider, we will have to subtract 1/8 from 1/2. This will be:

= 1/2 - 1/8

= 4/8 - 1/8

= 3/8 yard

Therefore, the beetle covered 3/8 yard more.

By which angle must AB turn about point A in the clockwise direction so that it coincides with AE ? A. 90° B. 180° C. 270° D. 360°

Answers

Answer:

B. 180°

Step-by-step explanation:

Rotate AB 180 degrees in the clockwise direction.

LOOK AT THE BOTTOM MAKE SURE YOU ARE RIGHT ?????????????????????????????/

Answers

V≈ 78.54units­

V=π r² h/3 = π · 5² · 3/3 ≈ 78.53982

I hope this helps!

Answer:

[tex]volume = 78.5 \ units^3[/tex]

Step-by-step explanation:

[tex]volume = \frac{1}{3} \pi r^2 h\\\\[/tex]

          [tex]=\frac{1}{3} \times 3.14 \times 5^2 \times 3\\\\=\frac{1}{3} \times 3.14 \times 25 \times 3\\\\=3.14 \times 25\\\\=78.5 \ units^3[/tex]

Will mark Brainlest help me to find the value of x (step by step) pls​

Answers

Answer:

5 (cm)

Step-by-step explanation:

1. according to the condition in ΔABC: AC=BC, m∠C=90°. Then m∠B=m∠A=45° and

2. x=AC=AB/√2; ⇔ x=5 (cm).

Answer:

x=5 cm

Step-by-step explanation:

triangle ABC is an isoceles triangle

so BC=AC and angle A=angle B

BC=X and angle A=theta

angle B and angle A both is theta degree because base angles of an isosceles triangle are equal

to find angle A and B

angle A + angle B + angle c=180 degree (sum of interior angles of a triangle)

theta + theta +90=180

2theta=180-90

2theta=90

theta=90/2

theta=45 degree

sin both angle A and angle B are theta their value is 45 degree.

For side x

now using pythagoras theorem

take theta as reference angle

using sin rule

sin 45=opposite/hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] =x/[tex]5\sqrt{2}[/tex]

[tex]\frac{1}{\sqrt{2} } *5\sqrt{2}[/tex]=x

[tex]\frac{5\sqrt{2} }{\sqrt{2} } }[/tex]=x

5=x

At competing grocery stores, bananas are 80 cents a pound at the first store and 85 cents a pound at the second store. Apples are 3 dollars a pound at the first store and 2.50 dollars a pound at the second store.

Suppose you buy x pounds of bananas and y pounds of apples at each store. You end up spending 10 dollars at the first store and 12 dollars at the second store.

Which system of equations represents the amount of money you spend on bananas and apples at each store?

Answers

Answer:

0.8x + 3y = 10

0.85x + 2.50y = 12

Step-by-step explanation:

Given :

Spending at first store :

Cost of Banana = 80 cent per pound = 0.80

Cost of apple = $3 per pound

Total amount spent = $10

Pounds of banana = x

Pounds of apple = y

0.8x + 3y = 10 - - - (1)

Spending at second store :

Cost of Banana = 80 cent per pound = 0.85

Cost of apple = $2.50 per pound

Total amount spent = $12

Pounds of banana = x

Pounds of apple = y

0.85x + 2.50y = 12 - - - - (2)

please help thank you ​

Answers

Answer:

c

Step-by-step explanation:

The correct answer is D
Inside the parentheses it says 62-42 so it would go in that order in the answer choice

Consider a different experiment: EXPERIMENT: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3 yellow balls. One ball is drawn at random and then returned to the bag. Then a ball is drawn again, possibly the same one or a different one.
(a) Specify the sample space (set of outcomes) and probability distribution of the outcomes.
(b) What is the probability that both balls drawn were red balls?
(c) Starting over with all 14 balls back in the bag, what is the probability that both draws were balls of different colors?

Answers

Answer:

a) Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b)  0.0459

c) ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Step-by-step explanation:

Total number of balls = 3 + 4 + 4 + 3 = 14 balls

3 Red balls = 3/14

4 blue balls  = 4/14

4 green balls = 4/14

3 yellow balls = 3/14

a) Determine the sample space and probability distribution of outcomes

since ball is drawn with replacement

Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

i.e. The sample space has 16 possible combination

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b) Determine  P( R and R )

P ( R and R ) = 3/14 * 3/14

                    = 9/196 =  0.0459

C) Determine probability of drawing two different balls

P( R and B ) + P ( R and G ) + P ( R and Y ) + ------ P ( Y and G )

= ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Judson collected information about the name length and the population of a random sample of 296 American cities. Here are the results:
Name length Less than Between 150,000 More than Total
150,000 and 250,000 250,000
Less than 8
characters 30 29 41 100
8 to 10
characters 43 41 33 117
More than 10
characters 26 28 25 79
Total 99 98 99 296
Judson wants to perform a X2 test of independence between name length and population. What is the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters?

Answers

It would be 90 - 10

The expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters is A = 33.45

What is the probability distribution?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

The mean of probability distribution is also known as expected value. It is denoted by E ( X ). E(X), or mean μ of a discrete random variable X is calculated by multiplying each value of the random variable by its probability and taking the sum of the values.

E ( X ) = μ = ∑x P ( x )

Given data ,

To find the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters, we need to calculate the expected count for that cell using the formula:

Expected Count = (row total * column total) / grand total

The row total for cities with more than 250,000 residents is 99, and the column total for names with less than 8 characters is 100. The grand total is 296

Expected Count = (99 * 100) / 296

Expected Count ≈ 33.45

Therefore , the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters is approximately 26.67

Hence , the distribution is 33.45

To learn more about probability distribution click :

https://brainly.com/question/11425427

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The complete question is attached below :

Judson collected information about the name length and the population of a random sample of 296 American cities. Here are the results:

Judson wants to perform a X2 test of independence between name length and population. What is the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters?

Following is a portion of the regression output for an application relating maintenance expense (dollars per month) to usage (hours per week) for a particular brand of computer terminal. When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as

Answers

Answer:

Matched samples

Step-by-step explanation:

A matched sample is obtained when pairing of treatment values for each subject or observation is performed. This sample obtained from a matched pair is usually called dependent sample and is usually done when each subject in an experiment is subjected to two different treatments usually at different time or stage. Hence, matched samples are used in matching observations to tie different groups.

What are the more appropriate measures of center and spread for this data
set?
5
18
22 24 26
H
02
4 B
3 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of center: the mean
O B. Better measure of spread: the standard deviation
I c. Better measure of center: the median
I D. Better measure of spread the interquartile range (IOR)

Answers

Answer:

C and D

Step-by-step explanation:

The data is represented in a box plot given. In a box plot, the min, max, median, Q1, and Q3 are displayed.

If you want to measure the center of the data, you can make use of the median.

Also, an appropriate measure of spread to use is the interquartile range.

Interquartile range = Q3 - Q1.

Better measure of center to use is Mean while better measure of spread is interquartile range.

The correct options for measures of center and spread for the data set is option C and D

What are the best measures of center and spread of the data?

The measures of center of data include the mean, median and mode.

The measures of spread include range, mean deviation, variance and standard deviation.

The give dat is a box plot where the min, max, median, Q1, and Q3 are shown.

The best measure of the center of the data, is the median.

The appropriate measure of spread is the interquartile range.

In conclusion, the more appropriate measures of center and spread for the data set is median and interquartile range respectively.

Learn more measures of center and spread at: https://brainly.com/question/10252810

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What is the measure of angle x? Round to the
nearest tenth. .
28
21

Answers

Answer:

x =53.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan x = 28 /21

Take the inverse tan of each side

tan ^-1 (tan x) = tan ^-1 (28/21)

x = 53.13010235

Rounding to the nearest tenth

x =53.1

ind the next term of the following sequence.

9, 6, 4, ...

Answers

Answer:3

9-6=3

6-4=2

So,

4-3=1

Three coins are flipped. What is the probability that all three coins will match?

Answers

Answer:

25%

Step-by-step explanation:

We can also show this from the results table below: There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.

What is the factored form of x2 − 4x − 5? (x + 5)(x − 1) (x + 5)(x + 1) (x − 5)(x − 1) (x − 5)(x + 1)

Answers

the answer is (x - 5)(x + 1)

if loga (n) = 16, find loga (sqrtt n)

Answers

Answer:

8

Step-by-step explanation:

by definition:

[tex]log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8[/tex]

In the above figure, m&angle;P = 125° and m&angle;Q = 5x. If angles P and Q are supplementary angles.
what is the value of x and the measure of angle Q?
A. x = 61, m&angle; Q = 55°
B. x = 11, m&angle;Q = 16°
OC. x = 11, m&angle: Q = 55°
D. x = 43, m&angle;Q = 215°

Answers

Answer:

C.    x  = 11, m∠Q = 55º

Step-by-step explanation:

125 + 5x = 180

5x = 55

x = 11

5x = 55

C.    x  = 11, m∠Q = 55º

Express the area of the entire rectangle.
Your answer should be a polynomial in standard
form. X+9 top x+2
Pls help i will mark the brainliest!

Answers

Answer : x^2 + 11x + 18

This prompt is telling you to find the area of the rectangle, so you multiply these two factors. (x + 9)(x + 2).

One way you can do this is by using the foil method.

Which is:

(a+b) (c+d) = ac + ad + bc + bd
Answer:  x^2+11x+18

Explanation:

The blue rectangle is x*x = x^2 in areaThe pink rectangle has area of x*9 or 9xThe green rectangle has area 2*x or 2xThe orange rectangle has area 2*9 = 18

Add up those areas to get the final answer

x^2+9x+2x+18 = x^2+11x+18

note the like terms 9x and 2x combine to 11x

convert into decimal 8%​

Answers

Answer:

Percent to decimal conversion table

Percent Decimal

8% 0.08

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