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

Photons of red light have a wavelength of approximately $7\times 10^{-7}$ meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as $a\cdot 10^b$ meters, where $1\le a < 10$. (In other words, in scientific notation.) What is $a+b$ written as a decimal?

Answers

Answer:2.97 ×10 − 19 J

I promise u your gonna have a bright future if u help me with this ! and I'll brainlist ​

Answers

a)
x 0 1 2 3 4
y 5 10 15. 20. 25

b) x 0 1 2 3. 4
y 1. 10. 37. 82. 145

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y =  

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y =  

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y =  

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y =  

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y =  

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

quadrilateral ADCD Is the image of quadrilateral ABCD UNDER TRANSLATION

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

ABCD-AEFG

Step-by-step explanation:

Pls Help me. I will mark brainlist.

Answers

Answer:

The second answer

Step-by-step explanation:

Because if you subtract a negative from an equation you get positive (two negatives make a positive)

Find the inverse of f(x) = 3x + 7

Answers

Answer:

g(x)=(x-7)/3

Step-by-step explanation:

Answer:

The answer would be  [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse

Step-by-step explanation:

what is the siope of a line that passes through the points (2, 3) and (4.-12)?

Answers

Answer:

-7.5

Step-by-step explanation:

Triangle LMN is similar to triangly XYZ. What is the length of YX?

Answers

Answer:

The same length as XY

Step-by-step explanation:

If they are similar, they are basically the same ;)!

Hope this helped!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

-16 - (-30) = ?
please help me, i cant figure it out​

Answers

Answer: 14

Step-by-step explanation:

1. Add the two negative sign together to make a plus:

-16 + 30

2. Do the math

-16 + 30 = 14

Answer:

-14

Step-by-step explanation:

All you need to do is subtract the 2 numbers without the negitv  then when your done add the negitve

The exact same experiment was conducted 16 times. How many times
should the results have been similar for them to be valid?
A. 8
B. 10
C. 7
D. 16

Answers

not sure but i think either b or d but u can cross off a
The answer is d 16 hope it’s right

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!

Answers

Answer:

85% of 19 = 16.15

Step-by-step explanation:

19 times 0.85 will give you the answer! (16.15)

The folding chair has different settings that change the angles formed by its parts. Suppose m∠2 is 31 and m∠3 is 65. Find m∠1. The diagram is not to scale.

Answers

Answer:

m∠2=31

m∠3=65

m∠1=?

Notice that measure of angle 2,3 and the angle that's next to angle 1 will form a triangle. Let's name the angle next to 1 to be x.

31+65+x = 180

96+x = 180

x = 180-96

x = 84

Now, you can easily find the m∠1.

84+m∠1 = 180        (REASON: Linear pair)

m∠1 = 180-84

m∠1 = 96

Vera ordered a soup, salad, and sandwich to share with her friends. The probabilities of each item being ready first are as follows: \text{P(Soup ready first}) = \dfrac15P(Soup ready first)= 5 1 ​ start text, P, left parenthesis, S, o, u, p, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, start fraction, 1, divided by, 5, end fraction \text{P(Salad ready first}) = 0.45P(Salad ready first)=0.45start text, P, left parenthesis, S, a, l, a, d, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 0, point, 45 \text{P(Sandwich ready first}) = 35\%P(Sandwich ready first)=35%

Answers

Ready. 33% of 100% 5

Can someone please help this is math? ill give BRAINLIEST

Answers

Answer:

27

Step-by-step explanation:

 To solve this problem, let us follow it step by step;

 Let Peter's number  = P;

     So;

    ⇒   P - 17

    ⇒  -2 (P - 17 )

    ⇒  -2 (P - 17 ) = -20

Solve the problem for P;

        -2 (P - 17 ) = -20

        -2P + 34  = -20

        -2P = -20 -34

          -2P  = -54

              P = 27

Answer:

Answer:

27

Step-by-step explanation:

To solve this problem, let us follow it step by step;

Let Peter's number  = P;

    So;

   ⇒   P - 17

   ⇒  -2 (P - 17 )

   ⇒  -2 (P - 17 ) = -20

Solve the problem for P;

       -2 (P - 17 ) = -20

       -2P + 34  = -20

       -2P = -20 -34

         -2P  = -54

             P = 27

Step-by-step explanation:

LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!

Answers

Answer:

Step-by-step explanation:

Ist method - Area of the triangle + Area of the  trapezium

Area of triangle = 1/2 × b × h

here, b = 8 cm but h is not given

so we will find h by pythagoras theorem

AC^2 = AB^2 + BC^2

10^2 = 8^2 + BC^2

100 = 64 + BC^2

BC^2 = 36

BC = √36

BC = 6

∴ h = 6cm

area of triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 24 cm^2

Area of trapezium = 1/2 ( a + b ) h

Here a = 13cm

         b = 25 - 8 = 17 cm

         h = 6 cm

So area = 1/2 ( a + b ) h

= 1/2 ( 13 + 17 ) 6

= 90 cm^2

So total area =  Area of the triangle + Area of the  trapezium

= 24 cm^2 + 90 cm^2 = 114 cm^2

2nd method - Area of the entire figure

Since the figure is a trapezium,

Area of trapezium = 1/2 ( a + b ) h

here, a = 13cm

        b = 25 cm

        h = 6 cm

Area of trapezium = 1/2 ( a + b ) h

= 1/2 ( 13 + 25 ) 6

= 114 cm^2

Hope this helps

plz mark as brainliest!!!!!!!!!!

answer:

not a very clear diagram sorry luv but i just cant really see the question  <3

step-by-step explanation:

Insect is crawling in a straight line at a speed of 12cm/s how far will the insect travel in 35 seconds

Answers

Answer:

420cm

Step-by-step explanation:

speedxtime=distance

12x35=420

Answer:

Distance = 420cm/s

Step-by-step explanation:

We have been given that Insect is crawling in a straight line at a speed of 12cm/s.

We have the following outcomes from the question.

Speed of insect = 12cm/s

So, We need to find the distance which can be reached out by insect in next 35 Seconds.

We are familiar with distance formula which is given by , Distance = Speed × Time

Distance = Speed × Time

Or, Distance = 12cm/s × 35

Or, Distance = 420 cm/s

Therefore, Insect is crawling in a straight line at a speed of 12cm/s, 420cm/s will the insect travel in 35 seconds.

bbs.
Which statement best compares the two jobs?
O Job A has a lower salary than job B, but the benefits
make job A a more attractive pay package.
O Job B has a lower salary than job A, but the benefits
make job B a more attractive pay package.
O Job A has a higher salary than job B plus benefits that
make job A a more attractive pay package.
O Job B has a higher salary than job A plus benefits that
make job B a more attractive pay package.

Answers

Answer:

B - Job B has a lower salary than job A, but the benefits

make job B a more attractive pay package.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Help me I need it giving brainiest

Answers

Answer:

120

Step-by-step explanation:

there are three sides, they have to equal 360 degrees so 360/3 = 120, you got it right.

HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.

Answers

Answer:

3%

Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%

Answer:

the answer to the nearest percent is 3%

PLEASE HELP ASAP, WILL MARK BRAINLIEST

Answers

Answer:

[tex] \sqrt{5} < 2.9 \\ = true \\ \\ 4 > \sqrt{23} \\ = false \\ \\ \frac{ \sqrt{30} }{5} < \frac{7}{5} \\ = true[/tex]

Hopes it helps you ☺️☺️

Thank you ☺️☺️

Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units​

Answers

Answer:

V= 5 X=6

Step-by-step explanation:

can someone help me plz:)

Answers

Answer:

when i did the math i got o.28

Step-by-step explanation:

4x10^-2 =.02x14 =.28

Please give brainliest

two in 1 more points​

Answers

Answer:

Your photo wont show up

Step-by-step explanation:

Answer:

Hello

1.  B. 2.35 * 10^11

2. A. 3 * 10^-2

What is the price of one cookie?

Answers

Answer:

$3 for one cookie

Step-by-step explanation:

Divide  18  by  6

four more than the product of 22 and a number

Answers

Answer:

22(x)+4

Step-by-step explanation:

This shows that whatever 22*x is it will be 4 greater

Can someone help please?

Answers

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

The answer is 2 hours and 23 minutes

the circle shows the radius of 12mm what is the circumference

Answers

Answer:

24π or about 75.4 mm

Step-by-step explanation:

The circumference of a circle is denoted by C = 2πr, where r is the radius.

Here, we see that r = 12, so plugging this in:

C = 2πr

C = 2π * 12 = 24π ≈ 75.4 mm

The answer is thus 24π or about 75.4 mm.

~ an aesthetics lover

Answer:

about 75.36

Step-by-step explanation:

The circumference formula is C=pi times the diameter and the diameter is 24 because it is twice the diameter so 24 times pi.

Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool .What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool? *

I'll give brainliest if you just tell me multiply, divide, subtract, or add.

Answers

Answer: subtract

Step-by-step explanation:

Answer:

I think subtract

Step-by-step explanation:

subtract

need help!! 40 points !!

The triangles shown below must be congruent.

Answers

Answer:

The question asks if they must be congruent, so the answer is false

Step-by-step explanation:

All the angles are equal

47 = 47

62=62

71=71

The side between the 62 and 71 equals 7 on the left, we are not given the side between the 62 and the 71 on the right so we do not know if the triangles are congruent.  We need to have one of the sides be equal for the triangles to be congruent.

The question asks if they must be congruent, so the answer is false

Answer:

FALSE

Step-by-step explanation:

ap3x

Which ordered pair is in the solution set of 2x - 5y ≥ 10?
a.(-2,1)
b.(-5,-2)
c.(0,5)
d.(6,0)

Answers

(3,5)

Step-by-step explanation:

Answer:

5,0

Step-by-step explanation:

Use the website Desmos to help u in this question

Solve for x and show the steps

Answers

Answer:

Step-by-step explanation:

All you need do is divide by m and you have the answer.

x*m/m = np/m

x = np/m

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