An equilateral triangle has a side length of 10 units. What is it’s area?

Answers

Answer 1

Answer:

[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.

The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]


Related Questions

( PLEASE HELP )Use the table to write a proportion .

Answers

8/6 and then m/16 is the correct answer

Find the slope of 3y = 6x + 4

Answers

Answer:
The slope or m is 2

Explanation:
The full answer is y = 2x + 4/3

Slope being 2 as y = mx + b

And the slope is m

⚠️HELP⚠️

If <6≈<10and <5≈<7, which describes all the lines that must be parallel?

o Only lines r and s must be parallel.
o Only lines t and umust be parallel.
Lines r and s and lines t and u must be parallel.
O Neither lines r and s nor lines t and u must be parallel

Answers

From the image we can see that; Lines r and s and lines t and u must be parallel.

What are parallel lines?

The term parallel lines refers to those lines that can not meet. We know parallel lines by the arrows that show us where they are pointing to.

Thus, from the image we can see that; Lines r and s and lines t and u must be parallel.

Learn more about parallel lines:https://brainly.com/question/16701300

#SPJ1

What is the solution set for 4x+9 <17?
Is B right? Or A?


Answers

Answer:

[tex]x<2[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]

[tex]4x+9-9<17-9[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x<8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]=x<2[/tex]

Answer:

4x+9=17

-9 -9 subtract 9 on both sides to cancel 9 on one side of equation and subtracted on the other side

4x=8

divide 4 on both sides to get x by itself

x=8/4

x=2 SOLUTION

Step-by-step explanation:

please help me I dont understand this question ​

Answers

Answer:

sinx=opp/hyp=6/10=0.6

x=sin-(0.6)=37°

Find the value of x.

Answers

Answer:

116

Step-by-step explanation:

110+79+55=244

360-244=116

Answer:

116

Step-by-step explanation:

A middle school has 89 sixth graders, 107 seventh graders, and 104 eighth graders. The grid represents the 31% of students at this school who bring their lunch. 10 by 10 grid with first 3 columns shaded and top unit of the fourth row shaded How many students bring their lunch to school?

Answers

Around 90 kids bring their lunch.

Plums and Peaches
The graphs below show the cost y of buying x pounds of fruit. One
graph shows the cost of buying x pounds of peaches, and the other
shows the cost of buying x pounds of plums.

Answers

Answer:

a. Peaches cost more by pound because the line it forms is steeper

b. draw a line that is less steep than the plums and under the plums line

Marie found that 4 bags of leaves weigh 6 pounds and 8 bags of leaves weigh 12 pounds. She made a graph to help her find the weight of other numbers of bags. On a coordinate plane, a line is drawn through points (4, 6) and (8, 12). Which ordered pair follows the pattern in the graph? (2, 4) (3, 4) (6, 8) (6, 9)

Answers

The ordered pair (6,9) follows the pattern in the graph.
For every 2 on the x coordinate, there is 3 for the y coordinate. (2,3) (4,6) (6,9) (8,12) and so on.

Answer:

D 6,9

Step-by-step explanation:

Evaluate 4y-4, when y=3

Answers

Answer:

8

Step-by-step explanation:

4(3)-4=?

12-4=?

8=?

Answer:

The answer is 8

Step-by-step explanation:

4(3)-4

4 times 3 is 12 subtract by 4 you get 8.

Choose the two equal expressions

Answers

i think D and E? cuz 15 x 6 is 90
It’s A and D

Have a great day

If triangle ABC is rotated 90 degrees clockwise about point c, which is the resulting image of point B?

A - (6,1)
B - (6,-1)
C - (-2, 5)
D- (-2,-3)

PLEASE HELP ME PLEASE I REALLY NEED HELP PLEASE

Answers

Never seen that before sorry it’s a little hard ur school bro

Raquel's Brownies
Raquel has 4 brownies. She wants to give an equal share to each
of her friends. How would Raquel share these brownies equally among herself
and 8 friends? How much of the brownies will each person get? Use words,
pictures, and an equation to explain your thinking.
Estimate

Answers

Answer:

each person will get half of a brownie

Step-by-step explanation:

4 divided by 8 is 1/2 so you'll have to split each brownie in half and give each person half


Triangle ABC is inscribed in a circle. The measure of arc AB is 126°.

Answers

Answer:

B. 54°

Step-by-step explanation:

hope it help you

follow me please

Simplify
(-8.5) (-5) (-2)

Answers

Answer: -85

Hope this helps!

Please look at the attached picture to answer the following question. Statement # ? is incorrect. Correct the statement:​

Answers

No oblo englsh 什麼事是l 另.荻邸

Guys please help me with this problem

Make a list of the possible outcomes from the table

Answers

Answer:

(d)

Step-by-step explanation:

The answer is d because it's pretty simple , you can have the white shirt with both trousers and the green shirt with both aswell.

I totally need helppppppppp. Oh no im gonna faillllllll.
10 + 9
PLs send help


(I'll give brainliest if you answer right

Answers

Answer:

19 will be the answer.

Step-by-step explanation:

10+9=19

Answer:

19

Step-by-step explanation:

can i get brainiest

On which day of the month were you born?

a Categorical
or
b Numerical​

Answers

Answer:

a (typing more bc of limit lolol)

This table gives a few (x,y) pairs of a line in the coordinate plane. What is the y intercept of the line?

Answers

Answer:

0,34

Step-by-step explanation: when you do x2-x1/y2-y1 with the coordinates you get slope plug that in the the y= mx+b equation with any one of the coordinates and you get the y intercept.

HELP ME PLEASE SOME ONE!

Answers

Answer:

240 inches cubed

I see you have 4 mins left

Pls help!

Which figure is a prism?

Answers

Answer:

the first red one, it's a triangular prism

Step-by-step explanation:

the second one is a triangular pyramid

the rest (third and fourth one) are square pyramids

Answer:

Its the first one

Step-by-step explanation:

Because a prism is a three-dimensional shape with identical ends, called bases, and flat sides called faces. These identical slices of a prism are called cross sections.

         mark brainliest please.

find all solutions (x,y) of the given system, where x and y are real numbers.
xy=8
y=-x^2

Answers

Answer:  (x, y) = (-2, -4)

Work Shown:

xy = 8

x(-x^2) = 8

-x^3 = 8

x^3 = -8

x = cube root of -8

x = -2

y = -x^2

y = -(-2)^2

y = -4

You can use a graphing tool like Desmos or GeoGebra to plot the two curves. Notice they intersect at (-2,-4) to confirm the answer. See the diagram below.

Jim has 28 mangoes he gave Tom 8 how many does Jim has

Answers

Answer: 20 mangoes.

Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.

28 - 8 = 20

You are planning a survey of starting salaries for recent computer science majors. In the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $60,038. 5 If you assume that the standard deviation is $4300, what sample size do you need to have a margin of error equal to $500 with 95% confidence

Answers

Answer:

A sample size of 285 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation is $4300

This means that [tex]\sigma = 4300[/tex]

What sample size do you need to have a margin of error equal to $500 with 95% confidence?

A sample size of n is needed. n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{4300}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*4300[/tex]

[tex]\sqrt{n} = \frac{1.96*4300}{500}[/tex]

[tex]n = 284.1[/tex]

Rounding up

A sample size of 285 is needed.

Ali has $60 to spend and would like to buy
as many calculators as possible with the
money. The calculators that she wants to
buy are $8.75 each.
How much money will she have left over
after she purchases the greatest possible
number of calculators?

Answers

Answer:

60/8.75 = 6 calculators.

6 x 8.75 = 52.5

60 - 52.5 = $7.50 left

Step-by-step explanation:

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
What are the solutions to the attached equation?

Answers

Answer:

x = -6, 1

Step-by-step explanation:

x=[tex]\frac{-5+\sqrt{49} }{2}[/tex] or x= [tex]\frac{-5-\sqrt{49} }{2}[/tex]

x=[tex]\frac{-5+7}{2}[/tex] or x=[tex]\frac{-5-7}{2}[/tex]

x=2/2 or x=-12/2

x = 1, -6

howdy!!

yr answer is B. x = -6, 1

goodluck on edge!! ^_^

What is another way to describe an equailteral triangel
A=acute
B=obtuse
C=right
D=scalene

Answers

Answer:

c

Step-by-step explanation:

Right equilateral triangle

hi, I need to send you a screenshot​

Answers

Whyyy notttt I guessss

Which number has the least value?
A 7.078
B 7.708
C 7.807
D 7.007

Answers

the correct answer is D!

Answer: D

Step-by-step explanation: It has the least value in the hundredths and thousandths place, so it is D.

Other Questions
What direction do you predict the addition of a base to the solution containing bromophenol blue will drive the equilibrium? Explain your prediction in terms of le chatelier principle nuclear fusion occurs in stars. please select the best answer from the choices provided true or false how the artist choses to position the audience in relation to artworks subject effects what? 1. There are several reasons why management may present biased information in the financial statements. Briefly identify any two such motivations.2. Explain the difference between principles-based and rules-based accounting standards. Are IFRS and ASPE considered more principles-based or rules based? Briefly explain.3. Accounting standards for Private Enterprises (ASPE) are geared towards fewer users who have access to additional information about the company. Although IFRS is not required for private enterprises, give a reason why a private company might choose to voluntarily adopt IFRS. The trial balance of Mendez Company at the end of its fiscal year, August 31, 2021, includes these accounts: Beginning Inventory $18,700, Purchases $154,000, Sales Revenue $190,000, Freight-In $8,000, Sales Returns and Allowances $3,000, Freight-Out $1,000, and Purchase Returns and Allowances $5,000. The ending inventory is $21,000. Instructions: Prepare a cost of goods sold section (periodic system) for the year ending August 31, 2021. t/f trophic structure refers to the pattern of food consumption in an ecosystem.\ Consider the following balanced equation: 2N2H4(g) + N2O4(g) + 3N2(g) + 4H2O(g) Complete the following table showing the appropriate numbers of moles of reactants and products. If the number of moles of a reactant is provided, fill in the required amount of the other reactant, as well as the moles of each product formed. If the number of moles of a product is provided, fill in the required amount of each reactant to make that amount of product, as well as the amount of the other product that forms. An article in the journal Applied Nutritional Investigation reported the results of a comparison of two different weight-loss programs (Liao, 2007). In the study, obese participants were randomly assigned to one of two groups and the percent of body fat loss was recorded. The soy group, a low-calorie group that ate only soy-based proteins (M= 2.95, s=0.6), while the traditional group, a low-calorie group that received 2/3 of their protein from animal products and 1/3 from plant products (M= 1.92, $=0.51). If S_M1-M2 = 0.25, s^2_pooled = 0.3, n_1 =9, n_2 = 11 is there a difference between the two diets. Use alpha of .05 and a two-tailed test to complete the 4 steps of hypothesis testing case manager in a rehabilitation facility is discussing discharge plans with a client who has a pressure injury and requires a special bed at home. Which of the following statements should the nurse make first? a. "Apply moisture barrier ointment three times a day." b. "Eat a balanced diet with high-protein snacks." c. "A social worker can help you with the cost of supplies." d. "Describe the place where you are currently living." A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition accuracy is 95% and trials are assumed to be independent. a. If the research team continues to run laboratory tests, what is the mean number of trials until failure? b. What is the probability that the first failure occurs on the tenth trial? If mucus plugs or secretions occlude the tube on a home ventilator, the EMT should:A. wash out the tube with cold water.B. wash out the tube with warm saline.C. suction the tube.D. replace the tube. most firewalls, especially ___________ capable firewalls, will automatically handle and adjust for the random source port when establishing a session. what term refers to an international economic order based on the pursuit of free trade, but allowing an appropriate role for state intervention to support low unemployment and social policies? Introduction to Six Sigma: Other Process Improvement and Quality Methods] True or False: Jumpstart is a fast-paced method for identifying problems and solutions in a single session that can be used within other methods such as Rummler-Brache, Scrum, and TQM. Select one: a. True b. False Advertising that falls after or around in news media broadcasts is generally more expensive than that around other news pieces, meaning that news corporations make more money off of such pieces. a) war stories b) economic news c) stories about international genocide and other tragedies d) serious, political journalism e) lighter, entertainment or "infotainment" pieces Any sunk costs and financing costs should be considered when determining the cash flow of an investment project. O True False how would a nurse change the physical assessment when planning to assess the patient with dementia The mean age of bus drivers in Chicago is 48.7 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis There is not sufficient evidence to reject the claim 48.7 There is sufficient evidence to reject the claim = 48.7 There is sufficient evidence to support the claim p = 48 7 There is not sufficient evidence to support the claim = 48.7 The United States is home to some of the world's leading computer software companies, most of which commonly outsource software development to other countries, including Egypt, India, Ireland, Israel, Malaysia, Hungary, and the Philippines.1. Why do you think these countries became suppliers to the software industry?2. Do you think that development of the industry in these countries is a threat to companies in the United States? Explain.This week's discussion is based on material in Chapter 15 of the course eTextbook. You are encouraged to review the material before posting to the topic. Note the following: Cite your sources using APA style; include a Reference page entry and parenthetical citations. See the announcement titled "Discussion instructions - refer to throughout the semester" for additional APA citing resources. Please label your responses in your initial posting so it is clear which comments are intended for each part of the discussion. Your response to each question should be a minimum of 6 sentences long. You are a member of a geological team in Central Africa. Your team comes upon a wide river that is flowing east. You must determine the width of the river and the current speed (the speed of the water relative to the earth). You have a small boat with an outboard motor. By measuring the time it takes to cross a pond where the water isnt flowing, you have calibrated the throttle settings to the speed of the boat in still water. You set the throttle so that the speed of the boat relative to the river is a constant 6. 00 m/s. Traveling due north across the river, you reach the opposite bank in 20. 1 s. For the return trip, you change the throttle setting so that the speed of the boat relative to the water is 7. 40 m/s. You travel due south from one bank to the other and cross the river in 11. 2 s. Part 1: How wide is the river and what is the current speed?Part 2: With the throttle set so that the speed of the boat relative to the water is 6. 00m/s, what is the shortest time in which you could cross the river, and where on the far bank would you land?