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

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.

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

Answers

Answer:

Step-by-step explanation:

Right equilateral triangle

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.

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:

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.

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

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:

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:

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:

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

Answers

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

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

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.

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:

Step-by-step explanation:

can i get brainiest

Evaluate 4y-4, when y=3

Answers

Answer:

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.

On which day of the month were you born?

a Categorical
or
b Numerical

Answers

Answer:

a (typing more bc of limit lolol)

HELP ME PLEASE SOME ONE!

Answers

Answer:

240 inches cubed

I see you have 4 mins left

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

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!! ^_^

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

⚠️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

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.

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.

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

Answers

Answer: -85

Hope this helps!

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

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

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

hi, I need to send you a screenshot

Answers

Whyyy notttt I guessss

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

please help me I dont understand this question

Answers

Answer:

sinx=opp/hyp=6/10=0.6

x=sin-(0.6)=37°

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