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

Evaluate the algebraic expression for the given value(s) of the variable(s).

2x 2 - 7xy + 3y 2 ; x = -3, y = 4

Answers

Answer:

-18

Step-by-step explanation:

2x²-7xy+3y²

2(3²)-7(3)(4)+3(4²)

2(9)-84+3(16)

18-84+48

18+48-84

-18

Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

Circumference=25.13 Area=50.27


What is the value of x in trapezoid ABCD?

Answers

Answer:

15

Step-by-step explanation:

Grant started a marathon at 8:00 am. He took 4 hours 49 minutes to complete the marathon. When did he cross the finish line

Answers

He crossed the finish line at 12:49 p.m.

PLSSS ANSWER JUST PUT THE NUMBER OF THE QUESTION THEN THE ANSWER PLS HELP ITS OVERDUE AND IM GONNA FAIL 7TH GRADE :(
I WILL GIVE BRAINLIEST EVERYONE KEEPS GIVING ME RANDOM LINKS IM CRYIING :( I WOULD BE SO GRATEFUL IF U HELPED UR A LIFE SAVER

Answers

Answer:

11=  21

12= -12

13= -72

14= -1

Step-by-step explanation:

Answer:

11) 21

12) -5

13) 8

14) 9

Step-by-step explanation:

i passed 7th grade (teehee)

A single line of four cats one behind the other walks towards and head-on into a single line of five cats walking in the opposite direction. When two of the nine cats meet, they both switch directions and then continue walking. How many meetings take place?

Answers

Answer:LLLLLLLLLLLLLL

Step-by-step explanation:

LLLLLLLLLl

Answer:

4

Step-by-step explanation:

There are just 4

Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Answers

Answer:

The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.

Step-by-step explanation:

Choosing two people at random, there are such possibilities:

1. both are dog owners;

2. first owns a dog, second not;

3. first hasn't dog, second owns a dog;

4. both haven't dogs.

Answer: if you pick two people at random the probability that they both own a dog is 0.3136.

Hope this helps! :))

The Probability that they both own a dog is 0.3025.

Here,

55% of people own dogs.

If pick two people at random,

Then we have to find the probability that they both own a dog.

What is Probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Now,

55% of people own dogs.

Hence, the probability that they both own a dog = 55% * 55%

                                                                          = 0.55 * 0.55

                                                                          = 0.3025

So, The probability that they both own a dog is 0.3025.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ2


Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1).

Answers

PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction. That tells you the order you solve problems.

You start by working each part of the problem in parentheses. You multiply before adding/subtracting.

I’ve attached a picture. Please ask any questions.
Thanks for answering!!!!!

Find the value of each variable. Line l is a tangent

Answers

Answer:

Step-by-step explanation:

A tangent to a circle is perpendicular to the diameter of that circle ⇒ c° = 90°

a° = 40°

b° = 140°

Andrew is shooting arrows at a target.
The experimental probability that one will hit a bulls eye is 1/4. If he shoots 60 arrows, how many times can he expect to hit a bulls eye?

Answers

Answer:

15

Step-by-step explanation:

60/4 = 15

So, Andrew would probably hit a bullseye 15 times.

Please help I’m really need the help (NO LINKS ) (NO LYING )

Answers

Answer:

for this you should use photomath all you do is take a picture of each problem and put the answer down

Answer:

1 = 22.4

2 = 19

3 = 22.6

4 = 18.75

5 = 23.6

6 = 20.85

7 = 29.75

8 = approximately 21.85

9 = i can't read the bottom number sorry

* all of this is squared inches too

Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.

A rectangular prism with a length of 2, width of 2, and height of 6.

A rectangular prism with a length of 5, width of 3, and height of 2.

A rectangular prism with a length of 6, width of 2, and height of 4.

Answers

Answer:

B

Step-by-step explanation:

i took the quiz have a nice day :)

Answer:

The correct answer is B

Step-by-step explanation:

2*2=4     2*6=12    2*6=12     4+12+12 = 28     28*2=56

11 divided by 3 2/3 with step by step explination

Answers

Answer:

3

Step-by-step explanation:

11/1 divided by 11/3

keep change flip to get:

11/1 x 3/11

and multiply to get:

33/11

Simplify to get:

3/1 or 3

Answer:

3

Step-by-step explanation:

step one is to make the fraction into a unbalanced fraction

step two is to make it a proper fraction by switching the values (I am talking about 2 2/3s so you know)

Then remove the greatest common factor, so 11, and only three remains

A study was performed to investigate whether teens and adults had different habits when it comes to consuming meat-free meals. In particular, the researchers were interested in the relationship between p1, the proportion of teens who would report eating at least one meat-free meal in the past week, and p2, the proportion of adults who would report eating at least one meat-free meal in the past week. A random sample of 875 teens and a separate random sample of 2,323 adults found that 555 of the teens and 1,601 of the adults reported eating at least one meat-free meal in the past week. The conditions for inference were checked and verified. What is the correct set of hypotheses the researchers should test in this scenario

Answers

Answer:

H₀ should be rejected at CI 95% .

Then the proportion of adults with 95 % CI is bigger than the proportion of teen

Step-by-step explanation:

From adult sample:

n₂ = 2323

x₂ = 1601

p₂ = 1601 / 2323         p₂  = 0,689       or    p₂ = 68,9%

From teen sample:

n₁ = 875

x₁ = 555

p₁ = 555/ 875           p₁  = 0,634          or    p₁  = 63,4

Values of p₁  and  p₂   suggest that the proportion of adults consuming at least one meat free meal per week is bigger than teen proportion.

To either prove or reject the above statement we have to develop a difference of proportion test according to:

Hypothesis test:

Null Hypothesis                   H₀             p₁  =  p₂

Alternative Hypothesis       Hₐ             p₂  > p₁

So is a one-tail test to the right

We can establish a confidence interval of 95 % then  α = 5 %

or    α = 0,05

As the samples are big enough we will develop a z test

Then  z(c)  for α = 0,05   from z table is     z(c) = 1,64

To calculate z(s)

z(s) = ( p₂  -  p₁ ) / √p*q* ( 1/n₁  + 1/n₂ )

where p = ( x₁ + x₂ ) / n₁ + n₂       p = 555 + 1601 / 875 + 2323

p = 2156/3198       p = 0,674

and   q = 1 - 0,674        q = 0,326

z(s) = ( 0,689 - 0,634 ) / √0,674*0,326 ( 1/875 + 1 / 2323

z(s) = 0,055/ √ 0,2197 ( 0,00114 + 0,00043)

z(s) = 0,055/ √0,2197* 0,00157

z(s) = 0,055/ √ 3,45*10⁻⁴

z(s) = 0,055 / 1,85*10⁻²

z(s) = 5,5/1,85

z(s) = 2,97

Comparing  z(s) and z(c)     z(s) > z(c)

Then z(s) is in the rejection region we reject H₀.

We can claim that the proportion of adult eating at least one meat-free meal is bigger than the proportion of teen

help i don’t understand this

Answers

Answer:

31.4 in

Step-by-step explanation:

Count the 4 mm lines and add it to 31 ins. So you end up with 31.4 in

ery Test
1
Select the correct answer.
Who is a consumer?
OA.
a person who buys items in a store
OB.
a person who owns a store
O C.
a person who works at a store

Answers

À because a consumer is the customer so your answer would be A

4x+5x+7+x+2

Solve please

Answers

Answer: you combine like terms to get 10x+9

Step-by-step explanation: 4+5+1 is 10 and 7+2 is 9.

Answer:

10x+9

Step-by-step explanation:

Dan has save 3200 cents from selling lemonade how many dollars does DAn have

Answers

Answer:

$32

Step-by-step explanation:

a dollar is 100 cents. so simply sake away the two zeros at the end.

Answer:

$32

Step-by-step explanation:

the answer is thirty two dollars because a dollar is 100 cents and 3200 ÷ 100 =32

Ed's dog Zoe ate almost 18% of the 4 dozen cookies he baked.
Which is the best estimate of the number of cookies Zoe ate?

Answers

Answer:

.72 or 1

Step-by-step explanation:

it is .72 in decimals but if you wanna round up to a whole number it's 1


Kacie has a bag of
pretzels. She eats 1/3 of
the bag and gives 1/2 of
the bag to her brother.
How much of the bag
does she have left?

Answers

Answer: .

Step-by-step explanation:

Select all of the given trigonometric equations that are true statements. sin(180°) = cos(0°) cos(74°) = sin(16°) sin(20°) = cos(70°) sin(A°) = cos(90° - A°) sin(A°) = cos(180° - A°) cos(140°) = sin(40°)

Answers

Answer:

Cos 74°= Sin 16°

Sin 20°= Cos 70°

Sin A°=Cos (90°- A°)

Step-by-step explanation:

This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Cd equals the square root of 3

Answer: 2 square root 3

Step-by-step explanation:

other user's answer

HELP PLEASE!!! I need to name each angle

Answers

Answer:

XWZ and ZWX are the only ways to label this angle

Step-by-step explanation:

The length of segment GI is 8. True or false?

Answers

Answer: false

Step-by-step explanation: that’s what my teacher told me sorry if it’s wrong

Answer:

It is false

Definetely false

help me please i dont know what to do

Answers

Answer:

x = 14.4

Step-by-step explanation:

First of all, the triangle has three sides, so let's use hero's formula to find the area.

A = √[p(p - a)(p - b)(p - c)]

Where;

a, b and c are the 3 given sides of the triangle and;

p = (a + b + c)/2

p = (18 + 30 + 24)/2

p = 72/2

p = 36

Thus;

A = √(36(36 - 18)(36 - 30)(36 - 24))

A = √46656

A = 216 Sq.units

Now, we also know from general formula of a triangle that;

A = ½bh

Where;

b is base and h is height

In the given image;

b = 30

h = x

Thus;

½ × 30 × x = 216

Rearranging, we have;

x = 216 × 2/30

x = 14.4

Please help I’ll give brainliest! Due today. I need Sin Z, Tan z, and Cos Z

Answers

Sinx = 4/5, cosx = 3/5 and tanx = 4/3

Find the sum of 3/4 and 5/10 pls

Answers

Answer:

Is it 1.25

I hope the helps!

Answer:

5/4 or decimal- 1.25

Step-by-step explanation:

3/4+5/10

=3/4+5/10

=3/4+1/2

=3/4+2/4

=3+2/4

=5/4

Geometry please help!!!!!

Answers

I going with A hope that helps

solve for x leave answer in simplest radical form.

Answers

Answer:

4sqrt(15)

Step-by-step explanation:

a² + b² = c²

x² + 7² = 17²

x² + 49 = 289

x² = 240

[tex]\sqrt{x^2} =\sqrt{240}[/tex]

[tex]x=4\sqrt{15}[/tex]

Paulo has $145 in his saving account he earns $36 a week mowing lawns. How many weeks will he have to work to have over $433

Match the inequality Statement with an Equation.

Group of answer choices {select all that apply}

433 + 36 (x) > 145

36 (x) - 145 < 433

145 + 36x > 433

-145 + 36x < 433

Answers

Answer:

145 + 36x > 433

Step-by-step explanation:

36x + 145 > 433

Other Questions
Who wants to be off homework 50 points!? Come and get the points. How many genes do u have for each trait? What did Lenins government do immediately following his rise to power Gallon321OC2562810MinutesThe graph represents the gallons of water (/) per minute (x) dispensed by a shower head. Which statements are correct?A)Point (0,0) represents the unit rate,8)Point (5, 1) represents the unit rate,Point (1,5) represents the unit rate.D)7.5 gallons of water are used in 1.5 minutes, What force is keeping the Earth in orbit around the Sun? * HELP FAST PLEASE.1 pointA Centripetal Force due to gravity.B Inertia due to gravity.C Friction due to gravity.D Magnetic Force due to gravity. centripetal force acts *1 pointA in the same direction as tangential speed.B perpendicular to tangential speed but in the same plane.C in the direction opposite tangential speed.D perpendicular to the plane of circular motion. ASAP!! HELP ME WITH THESE pls :(Question 1.Which moon phase starts and ends in the moon cycle?Question 2 : How many days between each moon phase ? you guy have any song requests? If 5.90 1.8 = 10.62, what does 106.2 59 equal? Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11.The profit for one medium cake is twice the profit for one small cake.The profit for one large cake is three times the profit for one small cake. Her total profit is 532.48Work out the profit for one small cake Which solution for z makes the equation true?? 10+10+z=40=10 (pls explain why. Thanks) pls answer soon 8th grade science If radioactive Forcing were to increase in a particular region of earth what would you expect to happen to average temperatures 2. find the surface area of 12 in 6 in 6 in Your answer Simplify 7 - 2(5 - 2x) Find the common difference of the arithmetic sequence -7, -1, 5, ... I need help in this question. I am not understanding what it is telling me so HELP 13=X/4A. 13/4B. 4/13C. 52D. 9 A trapezoid was broken into a rectangle and a triangle. What is the length, b, of the base of the triangle?O 2 cmO 4 cmO 6 cmO 8 cm Genetic recombination would be most closely associated with which process in disease-causing microorganisms? A.binary fission in fungiB.sexual reproduction in fungiC.spore formation in bacteriaD.viral replication in host cells A consumer group surveyed the prices for white cotton extra-long twin sheet sets in five different department stores and reported the average price as $16 with standard deviation $3.81. Assume that the population is normal and has a standard deviation equal to $3.81. 9. Provide a 95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets. z* is 1.96