Mathematics High School

part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each

Answers

Answer 1

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y = 6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

Answer 2

Answer:

10. (l, y) = (6, 12)

11. (c, w) = (9√3, 18√3)

12. (x, y) = (12√3, 24√3)

Step-by-step explanation:

Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...

1 : √3 : 2

10. l : 6√3 : y = 1 : √3 : 2

multiply by 6

= 6 : 6√3 : 12

l = 6, y = 12

11. c : 27 : w = 1 : √3 : 2

multiply by 27/√3 = 9√3

= 9√3 : 27 : 18√3

c = 9√3, w = 18√3

12. x : 36 : y = 1 : √3 : 2

multiply by 36/√3 = 12√3

= 12√3 : 36 : 24√3

x = 12√3, y = 24√3

This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.

Related Questions

What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42

Answers

Answer:

k = 29

Step-by-step explanation:

The sum of the two angles is 180 since they form a straight line

5k-3 + 9+k = 180

Combine like terms

6k +6 = 180

Subtract 6 from each side

6k = 174

Divide each side by 6

6k/6 = 174/6

k =29

Answer:

k=29

Step-by-step explanation:

GIVE ME THE COORDINATES!!!

Answers

Answer:

(0,1)

Step-by-step explanation:

The solution to a system of equations is where the two lines intersect. Algebraically, you could solve this by setting the equations equal to each other.

I hope this helps!

A. - 8/5

B. 5/8

C. - 5/8

D. 8/5

Answers

Answer:

5/8

Step-by-step explanation:

To find the slope, use the formula

m = (y2-y1)/(x2-x1)

= (2 - -3)/(6 - -2)

= (2+3)/(6+2)

= 5/8

Answer:

Step-by-step explanation:

identify the domain and range of y = 4x - 5 + 3

Answers

Answer:

[tex]\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}[/tex]

Step-by-step explanation:

y = 4x - 5 + 3 = 4x - 2

It's an equation of a line in the slope-intercept form.

y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.

The domain of a linear function is the set of all real numbers.

If a slope of linear function is different than 0, then the range is the set of all real numbers.

Answer: negative infinity to infinity and 3 to infinity

Step-by-step explanation:

edge 2023

What is the value of x

Answers

Answer:

A. 35 deg

Step-by-step explanation:

Use the exterior angle measure theorem.

The measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

60 + x = 95

x = 35

I just had that question answer is 35°

compare: 3 5/7 to 3 6/10 which one is greater

Answers

Answer:

3 5/7

Step-by-step explanation:

First we need to get a common denominator.

We can do this by multiplying the fractions by opposite denominators.

This gets us 3 50/70 and 3 42/70

Now we can see that 3 5/7 is greater

Steps:

Using the given inputs: 3 5/7 and 3 6/10

Rewriting these inputs as fractions: 3 5/7 3 6/10

26/7 36/10

The least common denominator (LCD) is: 70.

Rewriting as equivalent fractions with the LCD: 3 5/7 3 6/10

260/70 252/70

Comparing the numerators of the equivalent fractions we have:

3 5/7 3 6/10

260/70 > 252/70

Comparison shows: 3 5/7 > 3 6/10

Answer: 3 5/7 > 3 6/10

Please mark brainliest

Hope this helps.

Angle of a sum of 90 degrees

Answers

Answer:

Angles that sum up to 90° are called complementary angles. For example if there are two angles with measures 40° and 50° they are know to be complementary cuz they sum up to 90.

All the very best for your math exam by the way :)

A tennis match was delayed because of rain did officials were not prepared for the delay they cover the 25ft by 20ft court with 13ft by 10ft plastic covers how many plastic covers were needed to cover the cord from the rain

Answers

Answer:

Step-by-step explanation:

The 25ft by 20ft court needs to be covered.

First consider half of the court, meaning 25ft by 10ft.

To cover 25ft by 10ft you can easily place two 13ft by 10ft covers next to each other = 26 ft by 10ft

There is a 1ft overlap, but that seems reasonably acceptable.

If you do the same for the other half, then you will have covered the entire court from the rain.

So in total you need 4 plastic 13ft by 10ft covers, to cover the 25ft by 20ft cord from the rain.

This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court

Data;

dimension of court = 25ft by 20ftdimension of cover = 13ft by 10 ft

Area of a Rectangle

Assuming the court is a rectangle from its given dimensions, we can proceed by dividing the dimension of the court by the dimension of the cover

[tex]25ft by 20 ft / 13ft by 10 ft = 2[/tex]

This would give us a value approximately 2.

This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court.

Learn more on area of a rectangle here;

https://brainly.com/question/25292087

You are participating in a walk-a-thon. Donors can pledge a certain amount of money
for each mile that you walk, or a fixed amount that doesn't depend on how far you walk, or both
The table gives the amounts pledged by three donors.
a. Write an equation for each donor in the boxes below.
Donor
Amount
Fixed Amount
Per Mile
Equation
Jenna
None
$35
Camille
$5
None
Leila
$3
$15
b. You end up walking 18 miles.
Which donor donated the greatest amount of money and how much was it?

Answers

b because you end up actually walking 18 miles .

If a quadrilateral has 3 angles measure 60,45 and 100; find the measure of the fourth angle

Answers

Answer:

The fourth angle is 155

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360 degrees

60 + 45 + 100 + x = 360

Combine like terms

205+x = 360

Subtract 205 from each side

205+x-205 = 360-205

x =155

Answer:

155

Step-by-step explanation:

A rectangular prism with length and, width w, and height hhh has a volume of, w, h. What is the volume of a prism which has a base of 5\text{ m}5 m5, start text, space, m, end text by 3\text{ m}3 m3, start text, space, m, end text, and a height of 4\text{ m}4 m4, start text, space, m, end text

Answers

Answer:

60 m³

Step-by-step explanation:

A rectangular prism also called a cuboid is a shape that have six faces that are rectangles. The volume of a rectangular prism is the product of its length, width and height, i.e volume = length (l) × breadth (b) × height (h).

Given a prism with a base of length (l) = 5 m by width (w) = 3 m and a height (h) = 4 m.

Volume= l × b × h

Volume = 5 m × 4 m × 3 m = 60 m³

Answer:

60m3

Step-by-step explanation:

what is 1.8 increased by 10 to make a new mean

Answers

Answer:

Step-by-step explanation:

1.8*10= 18/10*10=180/10=18

Please help! Correct answer only!

There is a raffle with 200 tickets. One ticket will win a $430 prize, four tickets will win a $80 prize, six tickets will win a $40 prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?

$___

Answers

Answer:

$ 30.25

Step-by-step explanation:

Consider adding these winning values, in addition to the number of tickets for each as well;

[tex]Total Money That Could Be Won - 430 + 80 + 40 = 550 Dollars,\\Number of Tickets Corresponding To Money Won - 1 + 4 + 6 = 11 Tickets,\\\\Total Tickets - 200 Tickets,\\\\Probability Of Winning - 11 / 200 = 0.055,\\Proportionality - 0.055 = x / 550,\\\\0.055 = x / 550,\\x = 0.055 * 550,\\x = 30.25 Dollars\\\\Conclusion ; x = 30.25[/tex]

Solution ; " Expected Payoff " = 30.25 Dollars

SOMEONE PLEASE HELP MEEE !!!

Answers

Answer:

see explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?

Answers

Answer:

Timmy ate 13/24 of the pizza.

Step-by-step explanation:

To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.

100 points! Whoever can finish this is a god! you have a time limit. 10 min.

Answers

Question 5 Is answer D) 20
Question 8 is skewed left
Question 7 is C
Question 11 is C
Question 12 i’m pretty sure is Quartile *i haven’t done this in a while*
Question 4 is the first Histogram.

Answer:

See explanation

Step-by-step explanation:

Question 11:

The vertical axis goes from 1 to 2 to 4 to 8 to 16 without changing the difference between the blocks, which could be misleading. Therefore, the correct answer is that the vertical scale is not consistent.

Question 12:

Mean absolute deviation

Question 5:

36-16=20

Question 7:

Since the IQR is 6 and 1.5*6=9, both extremes are outliers.

Question 8:

Skewed left

Question 4:

First histogram

Hope this helps!

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is
.

The values of p must be
.

Answers

This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:

Rocco's current weight = initial weight - (half pound per week * # weeks)

p = 55 - 0.5*w

Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)

Answer:

The equation of the scenario is p=55-0.5w

The values of p must be any real number 45 to 55

Are the ratios 5:15 and 1:3 equivalent

Answers

Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

Yes, both of them are equivalent.

The length, width, and height of Richards Fish tank are 24 inches 16 inches and 18 inches,respectively. Richard is filling his fish tank with water from a hose at the rate of 500 cubic inches per minute. How long will it take to the nearest minute to fill the tank to a depth of 15 inches

Answers

Answer: 12 minutes

Step-by-step explanation:

Volume of water in the tank

l x b x h = 24 * 16 * 15 = 5760 cu. in.

Time it will take to fill the tank

= 5760 / 500 = 11.52 = 12 minutes

The data set shows the admission prices at several amusement parks. $25, $24, $12, $25, $19, $27. Find the mean absolute deviation of the admission prices

Answers

Answer:

4.33333333

you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)

What is the answer to this question 5 x 2/5 =?

Answers

Answer:

Step-by-step explanation:

5 * 2/5

Rewriting

5/1 * 2/5

5/5 *2/1

1*2

Answer:

The answer is 2

Step-by-step explanation:

I don’t know if this is correct !!!! Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 correct

Step-by-step explanation:

switch 2nd and 3rd

2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit

3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes

F
D
80°
E
B
160
G
NOTE: Angles not necessarily drawn to scale.
2=

PLEASE HELPPP!!!

Answers

Answer:

[tex] \boxed{x\degree = 80\degree} [/tex]

Step-by-step explanation:

Vertically opposite angles are equal.

[tex] = > x \degree + 80\degree = 160\degree \\ \\ = > x\degree = 160\degree - 80\degree \\ \\ = > x\degree = 80\degree[/tex]

Answer:

80°

Step-by-step explanation:

Look at the picture* *

(3×2^2)^9÷(3^3×2)^5

Answers

Answer:

exact form

8192/729

decimal

11.237

Step-by-step explanation:

cancel common factors

if a=10, What is a/ 2 plus 9

Answers

Answer:

a=14

Step-by-step explanation:

if a=10, 10/2 = 5 plus 9 = 14

Answer:

The anwer is 14

Step-by-step 1explanation:

10/2= 5 and 5 plus 9 is 14

3x+4+3=40 i need help very fast

Answers

Answer:

x = 11

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

3x11 = 33

4+3 = 7

33 + 7 = 40

Divide 40 kg in the ratio 3:2.

Answers

Answer:

24:16

Step-by-step explanation:

to find 1 part = 40/5 (you add the total of the ratio: 3+2)

so 8 and then times 8 by 3 and 8 by 2 to get the parts

Answer:

24 and 16

Step-by-step explanation:

First find the number of parts: 3+2 = 5.

then, divide 40 by 5 to find how much is available for each part. This way, you get 8.

Then to find the value for each section of the ration, multiply eight by the corresponding side.

8 x 3 = 24

8 x 2 = 16

Hope this helps.

Please mark brainiest

Find the size of the final unknown exterior angle in a polygon whose
other exterior angles are:
57° 68° 32°, 59° and 72º.

Answers

Answer:

Step-by-step explanation:

The sum of exterior angles is 360

360-57-68-32-59-72 =. 72

39an angle measures 76° less than the measure of a complementary angle. what is the measure of each angle?

Answers

Answer:

14 ° and 76 °

Step-by-step explanation:

We have that two angles are complementary, if the sum of their amplitudes is 90 °.

The complementary angles need not be consecutive or have any point in common.

Alpha and Beta are complementary if:

Alpha + Beta = 90 °

In this case it would be:

X - 76 ° = 90 °

X = 90 ° - 76 °

X = 14 °

Which means that each angle measures 14 ° and 76 °

Please help stuck on this question

Answers

Answer:

110 - 2x

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 50 + 5x - 40 + 110 - 2x = 180, that is

4x + 120 = 180 ( subtract 120 from both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

x + 50 = 15 + 50 = 65°

5x - 40 = 5(15) - 40 = 75 - 40 = 35°

110 - 2x = 110 - 2(15) = 110 - 30 = 80°

The largest angle is (110 - 2x)° = 80°

Other Questions

9. A ball is thrown straight up with an initial speed of 30 m/s. How long will it take to reach the top of its trajectory, and high will the ball go? Good scholarship involves all but the following:A)informal American English (slang)B) your own ideasC)documented sources Please answer this correctly subtract the difference of p and a from 3 You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You willtake 3 years to pay back the loan. How much interest will you pay?$1,000interest0% 3.5%100%CHECK$ olivia has 2 gallons and 3 quarts of vanilla ice cream and 1 gallon and 2 quarts of ice cream left over form the party how many gallons and quarts does she have left Which products are made from nonrenewable resources? Check all that apply. a. a soft-drink can b. lipstick c. a cotton T-shirt d. motor oil e. a wooden table How many groups are in the modem periodic table What does the law of conservation of matter show?A. That the total number of atoms in matter will never change.B. That matter can never change form.C. That atoms will combine in the simplest possible arrangement.D. That atoms in matter can never be rearranged. please help for brainliest answer I NEED HELP PLEASE!!! C2H5OH(l)+CH3COOH(l) CH3COOC2H5(l)+H2O(l) If the yield of ethyl ethanoate obtained when 20.00 g of ethanol is reacted with excess ethanoic acid is 30.27 g, calculate the percentage yield Which details best support the idea that the farm is a symbol for Russia under the rule of the Communist Party? Select two options. as Clover looked down the hillside these scenes of terror and slaughter if she herself had had any picture of the future had protected the lost brood of ducklings come to a time when no one dared speak his mind A motorbike and its rider have a mass of 275 kg. If they experience an acceleration of 4.50 m/s?,what force was exerted on them? 2)How do you think most Africans felt about being ruled by European countries What was the Democratic position on getting the government involved in theeconomy?A. They believed it would hurt individual freedom.B. They believed it would make the country stronger.C. They thought they would lose part of their land to taxes.D. They expected to pay more for moving products. Which of the following is not a cause of water pollution?a jet fuelb laundry soapc ammoniad none of the above In the drawing below, Side B A is parallel to Side D E. Triangle ABC is similar to triangle DEC. 2 triangles. Sides A B and E D are parallel. Lines B E and A D intersect at point C. Which statement about the sides is true? How to say good morning in french Which of the following statements about cell differentiation is true?A. Cell differentiation occurs only in adult organismsB. Cell differentiation cannot be affected by the environment C. Cells differentiate because the dna in each cell of an organism is different D. Cells differentiate because different areas of the dna are activated in each cell type.

part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each​

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each