Triangles & Trigonometry

Triangles & Trigonometry

Answers

Answer 1

Answer:

Answer: x = y = 2√7

Step-by-step explanation:

x = (2√14)cos45

x = (2√14)½√2

x = √14(√2) = √28 = 2√7

y = (2√14)sin45

y = (2√14)½√2

y = √14(√2) = √28 = 2√7


Related Questions

What number divided by 4 equals 6?
Type the correct answer, then press Enter.

Answers

Answer:

24

Step-by-step explanation:

Let x be the number.

[tex]x/4=6[/tex]

Multiply both sides by 4 to isolate x

[tex](x/4)4=6*4\\x=24[/tex]

I hope this helps!

Please solve the following. Solve for X. PLEASE HELP

Answers

Answer:

8

Step-by-step explanation:

(x+4)/x=24/16

24x=16x+64

8x=64

x=8

Layla missed 38 questions on her multiple choice math final that had a total of 200
problems. What percentage of questions did Layla answer correctly?

Answers

Answer:

81%

Step-by-step explanation:

200 - 38 = 162

162 ÷ 200 = 0.81

81%

Identify the correct form of the following geometric sequence.

5 , 35 , 245 , 1,715 , ...

Answers

The correct form of the geometric sequence is:[tex]5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...[/tex]

how to Identify the correct form of the geometric sequence.

To identify the correct form of the geometric sequence 5, 35, 245, 1,715, ..., we can look for a common ratio between consecutive terms.

To find the common ratio, we divide any term by its preceding term. Let's take the second and first terms:

35 / 5 = 7

Now, let's check the third and second terms:

245 / 35 = 7

Similarly, for the fourth and third terms:

1,715 / 245 = 7

Since we obtained the same result (7) for all ratios, we can conclude that the common ratio of this geometric sequence is 7.

Now, let's express the general form of the sequence using the first term (a) and the common ratio (r):

a, ar, [tex]ar^2,[/tex] [tex]ar^3,[/tex] ...

Substituting the given values:

a = 5 (the first term)

r = 7 (the common ratio)

The correct form of the geometric sequence is:

[tex]5, 5 * 7, 5 * 7^2, 5 * 7^3[/tex], ...

Simplifying the terms, we get:

5, 35, 245, 1,715, ...

Therefore, the correct form of the geometric sequence is:

5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...

Learn more about geometric sequence at https://brainly.com/question/1509142

#SPJ1

Hey guys I need some help, Ty :)

Answers

the answer is 8! Hope that helps! Please give brainliest hehe

Step-by-step explanation:

Download math may that help

Quadrilateral A'B'C'D' Is the image of quadrilateral ABCD under a dilation.

What is the scale factor of the dilation?

Answers

Answer:

Scale factor = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Formula for the dilation to be used,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

                    = [tex]\frac{A'B'}{AB}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].

The coordinate plane shows a line traveling through two points.

The coordinates that represent another point on the line are


a (3,5)

b (3,2)

c (5,3)

d (6,7)

Answers

A. (3,5) represent another point on the line

The remaining questions refer to the following situation: Suppose a certain farmer wants to find out if the average length of the green beans in her field is 4 inches. She collects a random sample of 100 beans and get a sample mean of 3.75 inches. (Suppose she knows that the population standard deviation of bean length is 0.5.) What is the population in this situation

Answers

Answer:

The population in this situation is all green beans in her field.

Step-by-step explanation:

Informally, if you take a sample of an object, the population in all of these objects.

In this question:

Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.

Help me on this question lol

Answers

Answer:

i think the answer is 10.5

Step-by-step explanation:

1.25 for a gallon means that 1.25 x 8 = 10. 0.4 gallons mean 1.25 divided by 0.4 which gets you 0.5. I think that's the right answer

Hope this helps!

Mark brainliest please

Answer:

$10.50

Step-by-step explanation:

Simplify:
Camilla goes to the super market and buys two apples. each apple is $1.75. Camilla has $5.00 left. write an expression to represents this problem. Don't forget to use a variable!

Answers

Answer:

[tex] \huge \boxed{ \boxed{t - 3.5 = 5}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationlet's solve:

a apple costs 1.75

2 apple costs 1.75×2=3.5

let her total money be t

according to the question

t-3.5=5

find the value of x. round to the nearest degree.

Answers

Answer:

What you should do in this case is to use the following trinonometric relationship:

senx = C.O / h

Where

C.O: Opposite leg.

h: hypotenuse.

Substituting:

senx = (7) / (9)

Clearing x:

x = ASIN ((7) / (9))

x = 51.05755873

Answer:

The value of x is

x = 51 degrees.

Step-by-step explanation:

*
3. Combine like terms and simplify the expression.
(2 points)
4 (3x + 2x + 6)
Enter your math answer

Answers

4 ( 3x + 2x + 6 ) = 4 ( 5x + 6 ) = 4 ( 5x ) + 4 ( 6 ) = 20x + 24

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

bottom half

bottom- 3 x 12.5 = 37.5

front side- 3 x 4 = 12

back side- 12

left side- 4 x 12.5 = 50

right side- 50

total: 161.5

top half

front triangle- (3x4)/2 = 6

back triangle- 6

left side- 4 x 12.5 = 50

right side- 50

total: 112

161.5 + 112 = 273.5

dilation of 1.5 about the origin

Answers

Answer:

Step-by-step explanation:

use the rule they tell you of  1.5

so (x,y) ⇔1.5(x,y)

w = (2,0)

x = ( 0,2)

y = (-2, 1)

z = (0, -2)

1.5(x,y)

W' = (3,0)

X'= (0, 3)

Y' = ( -3, 1.5)

Z' = (0, -3)

nice :)

The difference of two numbers is 14.Twice the smaller is 6 more than the larger.Find the numbers.

Answers

the numbers are 6 2/3 and 7 1/3

what is the volume of the cylinder?
A:703.2ft3
B:50.2ft3
C:602.9ft3
D: 653.1ft3

Answers

The answer is A hope that helps

What is the equation of the line that passes through the point (-4,-8)(−4,−8) and has a slope of 44?

Answers

Answer:

y = 44x + 184

Step-by-step explanation:

y = mx + b

-8 = 44(-4) +b

-8 = -176 + b

176 + 8 = b

184 = b

lol plss we did this literally a week ago and I forgot how to do it

Answers

Answer:

okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144

Step-by-step explanation:



What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as

a decimal precise to two decimal places.

P=

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a

decimal precise to two decimal places.

P-

Answers

Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

P(C n J) = 45 /300 = 0.15

1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

P(C | J) = 0.15 / (0.25)

P(C | J) = 0.6 = 0.60

which multiplication equation describes the picture of the third pies below?

Answers

Answer:4x1/3=4/3

Step-by-step explanation:

In the pictures there’s 4 one thirds and if u add them together is 4/3

CAN SOMEONE HELP ME!!

Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 6% interest, com pounded quarterly , in order to meet his goal ?

Answers

Answer

37 ,123.52

Explanation

the image above, hope it helps

The inequality x < 15 can be used to represent how tall a tree is, where x is it’s height in feet. Which of these statements best describes how tall the tree is

Answers

Answer:

The tree is less than 15 feet

Step-by-step explanation:

Given

[tex]x < 15[/tex]

Required

Interpret

The above inequality implies that the value of x is less than 15.

Since x represents the height of the tree in feet.

We can say that:

The tree is less than 15 feet

An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.

Required:
What represents the standard error of the difference in the mean number of fish caught before and after the fire?

Answers

Answer:

The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.

Step-by-step explanation:

Subtraction of normal variables:

When we subtract two normal variables, the standard deviation is the square root of the sum of variances of each variable.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6.

The standard error for this sample is:

[tex]s_b = \frac{1.6}{\sqrt{195}} = 0.1246[/tex]

Sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.

The standard deviation for this sample is:

[tex]s_a = \frac{2.1}{\sqrt{143}} = 0.1756[/tex]

What represents the standard error of the difference in the mean number of fish caught before and after the fire?

[tex]s = \sqrt{s_a^2 + s_b^2} = \sqrt{0.1756^2 + 0.1246^2} = 0.2153[/tex]

The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.

Answer:

sqrt [ (1.6^2)/195 + (2.1^2)/143 ]

Impossible Not Ukely Equslly Ukely & Unlikely Ukoly Certain Events: a. You will win the grand prize in a raffle if you purchased 2 of the 100 tickets. b. You will wait less than 10 minutes before ordering at a fast-food restaurant. c. You will get an even number when you roll a standard number cube. d. A four-year-old child is over six feet tall. e. No one in your class will be late to class next week. f. The next baby born at a hospital will be a boy, g. It will snow at our school on July 1. h. The sun will set today before 11:00 p.m. i. Spinning the spinner shown will result in green. j. Spinning the spinner shown will result in yellow.​

Answers

Answer:

a. Unikely

b. Likely

c. Equally likely

d. Unlikely

e. Equally likely

f. Equally likely

g. Unlikely

h. Likely

i. No SPINNER SHOWN?

j. NO SPINNER SHOWN?

Step-by-step explanation:

Choose all answers that apply

a. 7°
b. 45°
c. 90°
d. 210°
e. 355°
f. none of the above

Answers

Answer:

a,b,c,d and e

Step-by-step explanation:

a circle can be rotated any degree an be symmetrical therefore it has a infinite order of rotational symmetry

thus meaning that the answers are a , b , c, d and e

given triangle ABC if angleA=25degrees, angle B=75degrees and a=14 what is the length of side b to the nearest whole number

Answers

9514 1404 393

Answer:

  b = 32

Step-by-step explanation:

The law of sines tells you ...

  b = a·sin(B)/sin(A)

  b = 14·sin(75°)/sin(25°) ≈ 31.998

  b ≈ 32 . . . . units

15% of 20 is ??? please helpp

Answers

Answer:

I believe it is 3

Step-by-step explanation:

Answer:

the answer is 3 brainlest plz

Step-by-step explanation:

HELP!!!!! WILL GIVE BRANLIEST !!!!!

Answers

Answer:

F = (-2,4); E = (-2,0); D = (2,0)

Step-by-step explanation:

F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.

Could someone help me with with 6-10??

Answers

Answer:

You need a protractor

Step-by-step explanation:

to measure the angles

a pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. which multipack is the best value for money​

Answers

Answer:

the 15 multi pack

Step-by-step explanation:

It is the 15 can multipack, when you divide the cans by the price it gives you the price of one can and the 15 can multipack, one of the cans have a lower price than one of the cans from the 6 can multipack
Other Questions
How does Josh losing his way in the desert at night propel the action in the passage? A. This incident changes Josh's perspective about English classes. B. This incident gives Josh the confidence to believe his instincts. C. This incident helps Josh to understand the Jamesons' concern for him. D. This incident makes Josh realize the beauty of the desert at night. In which of the following types of infection will the infected host cell burst?A lysogenic infectionB prophage infectionC provirus infectionD lytic infection question, the highlighted part, and passage are in the picture, AND ANSWER TODAYand no links... they could have firewall breakers and/or viruses (two similar things but they do different stuff)(the highlighted part looks bolded in the photo but if you somehow cant tell which one it is, its the part where it says "Soaring fire that sways and sings")A) hyperboleB) personificationC) simileD) metaphor Entity001 And Project The following events took place when Managers A, B, and C were preparing budgets for the upcoming period: I. Manager A increased property tax expenditures by 2% when she was informed of a recent rate hike by local authorities. II. Manager B reduced sales revenues by 4% when informed of recent aggressive actions by a new competitor. III. Manager C, who supervises employees with widely varying skill levels, used the highest wage rate in the department when preparing the labor budget. Assuming that the percentage amounts given are reasonable, which of the preceding cases is (are) an example of building slack in budgets?a. Il only. b. I only. c. II and III. d. Ill only e. I and II. 1.1 Define the following terms1.1.1 Self-awareness1.1.2 Self-Esteem1.1.3 Self-Development PLEASE ANSWERBryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?7 hours and 35 minutes5 hours and 35 minutes6 hours and 25 minutes6 hours and 55 minutes You are given an array of arrays a. Your task is to group the arrays a[i] by their mean values, so that arrays with equal mean values are in the same group, and arrays with different mean values are in different groups. Each group should contain a set of indices (i, j, etc), such that the corresponding arrays (a[i], a[j], etc) all have the same mean. Return the set of groups as an array of arrays, where the indices within each group are sorted in ascending order, and the groups are sorted in ascending order of their minimum element.ExampleFora = [[3, 3, 4, 2], [4, 4], [4, 0, 3, 3], [2, 3], [3, 3, 3]]the output should bemeanGroups(a) = [[0, 4], [1], [2, 3]]mean(a[0]) = (3 + 3 + 4 + 2) / 4 = 3;mean(a[1]) = (4 + 4) / 2 = 4;mean(a[2]) = (4 + 0 + 3 + 3) / 4 = 2.5;mean(a[3]) = (2 + 3) / 2 = 2.5;mean(a[4]) = (3 + 3 + 3) / 3 = 3.There are three groups of means: those with mean 2.5, 3, and 4. And they form the following groups:Arrays with indices 0and 4 form a group with mean 3;Array with index 1 forms a group with mean 4;Arrays with indices 2and 3 form a group with mean 2.5.Note that neithermeanGroups(a) = [[0, 4], [2, 3], [1]]normeanGroups(a) = [[0, 4], [1], [3, 2]]will be considered as a correct answer:In the first case, the minimal element in the array at index 2 is 1, and it is less then the minimal element in the array at index 1, which is 2.In the second case, the array at index 2 is not sorted in ascending order.Fora = [[-5, 2, 3], [0, 0], [0], [-100, 100]]the output should bemeanGroups(a) = [[0, 1, 2, 3]]The mean values of all of the arrays are 0, so all of them are in the same group.Input/Output What person is memory laps by david sedaris written in ? Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flower costs $12. How many can she purchase without going over her budget? 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