An equilateral triangle has a side length of 16 cm work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer 1

Answer:

110.9 cm²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex]  ( s is the side length )

Here s = 16, thus

A = [tex]\frac{16^2\sqrt{3} }{4}[/tex]

   = [tex]\frac{256\sqrt{3} }{4}[/tex] = 64[tex]\sqrt{3}[/tex] ≈ 110.9 cm² ( to 1 dec. place )


Related Questions

5. If you want to get a black belt in karate, then you must first get a brown belt. If you want to get a brown belt in karate, you must first get a white belt.​

Answers

Answer:

yes??? what’s the question??

Step-by-step explanation:

Which graph represents the function f(x) = |x|-4?

Answers

Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021

There are 84 turkey and 63 ham sandwiches to be places on trays. Each tray should have only one kind of sandwich, and all trays have the same number of sandwiches. If you place the greatest possible number of sandwiches on each tray, how many trays will you have with turkey and how many with ham?

Answers

it should have 83 turkey and 83 ham and one extra.

Which statement(s) apply to stratified random sampling? Check all that apply.

A) It can provide better estimates than a simple random sample.
B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.
C) A challenge is that it is necessary to have strata of the same size.
D) Creating strata of similar individuals to sample from reduces variability.
E) It can be difficult to obtain with a very large population.

Answers

Answer:

The correct options are;

A) It can provide better estimates than s simple random sample

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study

E) Creating strata of similar individuals reduces variability

Step-by-step explanation:

In order to reduce the variance in the population being studied the stratified sampling technique is used which consists of separating the given sample from the population into different strata based on known characteristics and finding out the result of the experiment in each strata. Each strata posses a common or shared attribute such as educational level or total level of income.

The statements that apply to stratified random sampling are;

A) It can provide better estimates than a simple random sample.

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.

D) Creating strata of similar individuals to sample from reduces variability.

E) It can be difficult to obtain with a very large population.

Stratified random sampling is a method of sampling from a population that involves dividing the entire population into homogeneous groups that called strata.

The way it is done is that a random sample from each stratum is usually taken in a number that proportional to the size of the stratum if we compare it to the population size.

From the definitions above, the options that apply are, A, B, D and E.

Read more about stratified random sampling at; https://brainly.com/question/1954758

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answers

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

Please help???
-x + y=1
2x+y=-2

Answers

Answer:

(x, y) = (-1, 0)

Step-by-step explanation:

Here:

1. -x + y = 1

2. 2x + y = -2

so just temporarily....

multiply #1 by 2

and

multiply #2 by 2

1. -2x + 2y = 2

2. 4x + 2y = -4            then subtract top from bottom.

   -6x + 0  = 6

          -6x = 6

             x  = -1

Then implement x = -1 into the original state of #2

2. 2(-1) + y = -2

      -2 + y = -2

             y = -2 + 2

             y = 0

(x, y) = (-1, 0)

WooHoo! pls brainliest ;) !

Click through and select the graph that correctly shows the following points:

X(-2, 0), Y(3, -5), and Z(0, 3).

Answers

Answer:

The second graph

Step-by-step explanation:

each of the points you listed are graphed on there.

Answer:

the answer is graph number 2

it has X(-2, 0), Y(3, -5), and Z(0, 3) points on it !

What is the product of 2/12 and 1/14? If you get it correct ill mark ya brainly.

Answers

Answer:

1/84

Step-by-step explanation:

Answer:

1/84

Step-by-step explanation:

2/12 x 1/14

Can be simplified to:

1/12 x 1/7

12 x 7 = 84

1/84

Please let me know if I'm wrong :)

Raul has 50 coupon books to sell. The total amount of money Raul will make from selling x coupon books is represented by a function.

f(x)=20x

What is the practical domain of the function?




all integers from 0 to 50, inclusive

all integers from 20 to 50, inclusive

all multiples of 20 between 0 and 1000, inclusive

all real numbers

Answers

The domain of a function is the set of its possible inputs .The output values are called the range.For any  the set of values x can take is called the domain of the function.

The given function is f(x)= 50x .Here x represents number of coupons . f(x) represents The total amount of money Raul will make .

It is given Raul started with 50 coupon books and has already won a prize for selling at least 10 coupon books .

The values x can take or the domain of the function will lie between  10 and 50.

The correct option is  All integers from 0 to 50, inclusive .

Answer:

The answer is 0 to 50

Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.​

Answers

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

We are dealing with consecutive integers; these are integers with a difference of 1 between them.

   let the first number = x

               second number  = x + 1

one - fifth of first;

             [tex]\frac{1}{5}[/tex]x

  one - ninth of the second;

            [tex]\frac{1}{9}[/tex](x + 1)

for the "less" ;

         [tex]\frac{1}{5}[/tex]x -  [tex]\frac{1}{9}[/tex](x + 1) = 3

Multiply through by 45

       45([tex]\frac{1}{5}[/tex]x) - (45) [tex]\frac{1}{9}[/tex](x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

solve the inequality 809>-11+5/8n write the solution in set notation

Answers

Answer:

-798>n

Step-by-step explanation:

emilythompson35464

hope this helps srry if it doesn't tho

Answer:

1312

Step-by-step explanation:

i just did it and got it right

What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds.

Answers

Answer:

13.9

Step-by-step explanation:

Speed=distance/time

S=75,000/5,400

S=13.8 repeating OR (rounded) 13.9 m/s

Which of these numbers is irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO​

Answers

Answer:

D) [tex]\sqrt{6}[/tex]

Irrational numbers are numbers that cannot be expressed in the form of p/q where q is not equal to zero.

Here is how to understand if a number irrational or not:

Irrational numbers will have decimal expansions which are non-terminating and non-recurring (no pattern or repetition o certain groups of numbers couldn't be observed and the decimal expansion will not ever end)

EXAMPLE: For non-recurring and non- terminating decimal expansions.

2.258755655554517144516517849616128478462131...................76.2879485165886225568656559781230414746108....................4987.251484561515484513184964989494555121266....................

In the above examples, it can be observed that all the decimal digits had no pattern and they will never end.

In this question, the answer is root 6. but it is not necessary that we have to find the decimal expansion, but we ccanfind it easily just by findinf if the given number is a perfect square or not.

EXAMPLE:

[tex]\sqrt{4}[/tex] is a rational number as 4 is a perfect square.[tex]\sqrt{100}[/tex] is a rational number as 100 is a perfect square.[tex]\sqrt{8}[/tex] is not a rational number as 8 is not a perfect square

Rusty is training for a triathlon. He runs 4miles for every 9 miles he bikes. At the end of his training, he has run o total of 92 miles. How many total miles did he bike?

Answers

Answer:

Rusty bikes for 207 miles

Step-by-step explanation:

Because 23 times 4 gives you 92 so you have to also multipy 9 by 23 gives you 207 miles. So Rusty biked for 207 miles. Hoped this helped.

Answer:

207

Step-by-step explanation:

If you cut a 3 ¾ ft. length of wire into pieces that are ¼ ft. long, how many pieces
of wire will you have?

Answers

Answer:

3 2/4

Step-by-step explanation:

3.5 or just 3 if you round

Find the equation of the line parallel to the line y = 4x + 10, that goes
through the point (5, 1)

Answers

Answer:  the slope of y=−4x+10 is: −4.

Step-by-step explanation:

I need help! yes I’m this dumb

Find The Unit Rate:
150 students for 5 classes. How many students per class?

Answers

Answer:

30 student

Step-by-step explanation:

150/5=30

Answer:

he unit rate would be 30 students per class.

Step-by-step explanation: One way to find the  unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this help You!!!!!!!!!!!!!

I need help!!! :( pleaseeee

Answers

Answer:

2/8 more days

Step-by-step explanation:

5/8-3/8=2/8

I believe the answer would be 2/8 days:)

IF f(x) = -3x – 2; FIND f(3)

Answers

Step-by-step explanation:

f(3) = -3(3)-2

=-9-2

=-11

John bought a new TV. The tag in the shop said it cost £299 + VAT.
If VAT is charged at 20%, how much did he pay (to the nearest penny)?​

Answers

Answer:

59.8

Step-by-step explanation:

20÷100×299

0.2×299

59.8

A truck can be rented from Company A for ​$160 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

la respuesta correcta es $123.222per mile

Answer: T he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160miles.

Step-by-step explanation:

Step 1

Let us  write the rental cost with each company:

Company A , they will charge =$160 +$ 0.40x

Company B, They will charge = $80 + $0.90x

Where x =number of miles travelled

Step 2

we then find the number of miles in a day at which the rental costs for Company A and Company B will be  the same by equating both equations and solving for x

160 + 0.40x= 80 + 0.90x

160-80 = 0.90x-0.40x

80= 0.50x

x= 80/0.5

x= 160

Therefore t he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160 miles.

plz help im biog help

Answers

Answer:

1.06 = 19.08

x = $5.75

The cost of the cat food is $5.75.

Step-by-step explanation:

A number that is at most 30 as an inequality

Answers

Answer:

n  ⩽ 30

Step-by-step explanation:

Anyone know the answer ?

Answers

Its A i think. Like ya cut g

Answer:

b

Step-by-step explanation:

hope this helps

WHat is 9 to the the power of infinity timees the number of cubic inches

Answers

Answer:

...infinity cubic inches?

Step-by-step explanation:

I dont understand this, plz help, will mark Branliest!

Solve for x: −3|x + 7| = −12 (2 points)

x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11

Answers

X will equal 11

Work:
-3(x+7)=-12
-3x - -21= -12
-21 + -12= -33
-33/-3 = 11

The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?

Answers

Answer:

p = (200 + 7.5t) psi

Step-by-step explanation:

The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.

The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t

so that;

p = 200 + 7.5t

  = (200 + 7.5t) psi

If the temperature increases by [tex]1^{o}[/tex] F, then;

p = 200 + 7.5(1)

  = 200 + 7.5

  = 207.5 psi

If the temperature increases by [tex]10^{o}[/tex] F, then;

p = 200 + 7.5(10)

  = 200 + 75

  = 275 psi

During a training mission, a battleship was ordered to find a submarine submerged at a depth of 1,220 feet and a fighter jet flying 1,150 feet in the air. On a number line, let 0 represent the battleship’s location, at sea level, with higher elevation on the positive side of 0.

Which number sentence correctly compares the absolute values of the elevations of the submarine and the fighter jet?
A. |-1,220| > |1,150|
B. |-1,220| < |1,150|
C. |1,220| < |-1,150|
D. |1,220| = |-1,150|

Answers

Answer:

B

Step-by-step explanation:

-1220 is negative lower than 0 and 1150 is higher than zero.

1 quart to 1 gallon

Answers

4 quarts equal 1 gallon. 1 quart to 1 gallon is 0.25 of a gallon.

can anyone pls helppppp

Answers

hourly rate:
39(1.3r) = 541.80
(hours times hourly rate equals profit)

then solve
1.3r = 13.89
r = 10.69

the hourly rate is $10.69


to answer the bottom question, 390 + 117 = 507, but that’s not close to 541.80 so I have no idea what they’re asking there
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