An equilateral triangle with side length 20 cm is shown in the diagram, work out the area of the triangle.Give your answer rounded to 1 DP.

Answers

Answer 1

Answer:

173.2 cm²

Step-by-step explanation:

Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]

Plug in the side length and solve:

A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²

A = [tex]\frac{\sqrt{3}}{4}[/tex](400)

A = 173.2

So, the area of the triangle is approximately 173.2 cm²


Related Questions

8 out of every 14 children in a school are boys. What is the ratio of boys to girls in the school?

Answers

Answer:

8:6

Step-by-step explanation:

If 8 out of 14 students are boys then the remaining number of students must be girls

So

14-8= 6

There are 6 girls out of the 14

So as a ratio of boys to girls

8:6

Answer:

8 : 6 <or> 4 : 3

Step-by-step explanation:

8 : 6 <or> 4 : 3

Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.

What is the area of the polygon given below?

Answers

Answer:

C, which is 340!

Step-by-step explanation:

Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)

The area of polygon = 340 square units.

How to estimate the area of the polygon?

Area of rectangle = Length [tex]\times[/tex] [tex]\tmes[/tex]breadth

Area of rectangle (side A) = 19 [tex]\times[/tex] 4 = 76

Area of rectangle (Side B) = 24 [tex]\times[/tex] 14 = 264

To estimate the area of the polygon, add both of the equations then we get

Area of the polygon

= Area of a rectangle (side A) + Area of a rectangle (Side B)

= 76 + 264

Area of the polygon  = 340 square units.

Therefore, the correct answer is option C. 340 square units.

To learn more about polygon

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como se lee log 27=3

Answers

Step-by-step explanation:

log 27 a la base 3 = 3 (In spanish)

log 27 to the base 3 = 3

Factorize the following 3x + 12

Answers

Answer:

if this was a equation you would first subtract 12 from the other number then divide it by 3

Answer:

3(x+4)

Step-by-step explanation:

Check 3(x+4), when you use the distributive property, you get 3x + 12, so this is correct. (sorry, I'm really bad at explaining...)

What is the slope of a line passing through the points (3,9) and (5,10)?

Answers

Answer:

1 / 2 or 0.5

Step-by-step explanation:

use the formula ; m = y2 - y1 / x2 - x1

where y2 = 10

y1 = 9

x2 = 5

x1 = 3

somebody help me out !

Answers

Answer:

224

Step-by-step explanation:

Hello!

To find f(-7) you simply plug the value, -7, into the function.

This will get you:

f(-7) = 4(-7)^2 - 4(-7)

Remember that the square of a negative number is a positive! Also, remember to use the order of operations (PEMDAS)!

This will get you:

f(-7) = 4(49) - 4(-7)

f(-7) = 196 - (-28)

f(-7) = 224

Hope this helps!

If 7x - 4y = 23 and x + y = 8, what is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

7x - 4y = 23 and x + y = 8

Multiply the second equation by 4

4x + 4y = 32

Add this to the first equation

7x - 4y = 23

4x + 4y = 32

------------------------

11x    = 55

Divide each side by 11

11x/11 = 55/11

x = 5

Answer:

[tex]\huge\boxed{x=5}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5[/tex]

What is the image of (10, -12) after a
dilation by a scale factor of centered at the
origin?

Answers

Answer:

-5, -3

Step-by-step explanation:

An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.

a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.

Answers

Answer:

(a). We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

Step-by-step explanation:

According To the Question,

Given, An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. The interpretation for the 98% confidence interval for the population proportion is in Option A.

(30 points PLS HElP)
Type the correct answer in each box.
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base.
Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:
V =äa2h
Here, ais the side length of the pyramid's square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
2+
= 0 can be used to find that the
length of the sculpture's base is
centimeters.

Answers

Step-by-step explanation:

the answer is in the image above

Answer:

x = 9 cm

Hope this helps you.

Ratio Question:

Florence washed 3 cars, Caragh washed 4 and Anona washed 5. Anona earned £16 more than Florence. Work out how much each earnt.

Answers

Answer:

i dont under stand but i will just ask for help to my father

Step-by-step explanation:

i dont wnow the answer!???

Answer:

Step-by-step explanation:

[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]

[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]

[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]

[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]

 [tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex]                    [tex][ \ cross \ multiply \ ][/tex]

[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]

[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]

Therefore ,

                 Florence earned $24

                 Anona earned 24 + 16 = $40  

                 Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32

                 

Which 2 of these triangles have the same angles as each other? NEED ANS ASAP GIVING U 15points

Answers

A and B


























Hope this helps

The perimeter of the outer square in thiæ pattern is 8
Ron says, “The perimeter of the inner square is 4"
Do you agree with Ron? Yes
Show workings to support your answer.

Answers

Answer:

The answer is Yes .. Ron is correct

Step-by-step explanation:

This is because each side of the outer square is 2 units summing up to 8 units. So dividing each into two equal parts give 1 unit each.

Each side of the inner square divides the outer square into two making each side 1 unit.

The inner square thus takes 1 unit for it's side summing the perimeter to 4 units.



1
63°
m
n
find the value of x


Answers

Answer:

I believe its 63°......,.,..,.,.,.,

hey! please help with this!!! Write all the 12 answer of measurements. If you can’t do it and you think it’s a lot you don’t have to! okay but I need this done asap! thank you so much have a amazing day!!! :) *spam? May b!*

Answers

Answer:

1) 1 and 4

2) 1 and 2

3) 1 and 5

4) 2 and 3

5) 130°

6) 90°

7)25°

8) 115°

I'LL MARK BRAINLIEST !!!

A temperature was 5º on Monday. On Tuesday, the temperature was -4º. What is the difference of the two temperatures?

Answers

Answer:

WHEN YOU COMPARE THE TEMPERATURE ON MONDAY TO THE TEMPERATURE ON TUESDAY, THE TEMPERATURE ON TUESDAY IS COLDER.

Anyone know the answer to this?

Answers

Answer:

Diameter : 22.568 cm

Step-by-step explanation:

Hope this Helps!

The probability of spinning an odd number, flipping heads and then spinning a 3 is?

Answers

Answer:  5/162

===================================================

Work Shown:

A = probability of landing on an odd number

A = 5/9 because there are 5 odd numbers out of 9 total

B = probability of getting heads

B = 1/2

C = landing on 3 on the spinner

C = 1/9

Multiply the values of A,B,C

A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162

Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%

Hey there, please help me. Thank you

Answers

Answer:

x=5

Step-by-step explanation:

32 = 2^x

Rewrite 32 as 2^5

2^5 = 2^x

Since the bases are the same, the exponents are the same

5 =x

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]2^{5}=2*2*2*2*2=32[/tex]

Hope this helps

PLEASE HELPPP URGENTTTT HIRRRYYY

Answers

Answer:

c

Step-by-step explanation:

m=28g

m=28(20)

m=560

Correct answer is c -took test

Solve for y.
3= y+7 divided by 3

Y=

Answers

Answer:

y=2

Step-by-step explanation:

3 = (y+7)/3

Multiply each side by 3

3*3 = (y+7)/3 *3

3*3 = y+7

9 = y+7

Subtract 7 from each side

9-7 = y+7-7

2 =y

Answer:

2 = y

Step-by-step explanation:

3 = y + 7 ÷ 3

multiply both side of equation by 3

3 × 3 = y + 7 ÷ 3 / 3

9 = y + 7

subtract 7 from both side

9 - 7 = y + 7 - 7

2 = y

Help me please quickly

Answers

Answer:

well it's technically 23.66, but I guess you can round it up to 24

Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.​

Answers

answer is

B. 6√2

hope this helps!

Please help me it's urgent!

Answers

Answer:

2nd one

Step-by-step explanation:

Fern bought groceries that cost $14.38. She paid the
store clerk, Ping, with a $20 bill. Ping makes change by
saying
2 pennies makes the total $14.40.
6 dimes makes it $15.00, and
6 dollars makes it $20.
pril
Did the clerk make a mistake in giving Fern her change?
You may use the scratchpad to show your work.
No, she received $6.62 in change.
8
Yes, Ping should give Fern 6 pennies and 2
dimes.
Yes, Ping should give Fern 3 dimes and 8
pennies.
Yes, Ping should give five one-dollar bills, not
SIX

I NEED HELP ASAP SOMEONE ANSWER AS SOON AS YOU CAN MAYBE YEA THANKS BYE

Answers

Answer:

Yes, Ping should give five one-dollar bills, not

SIX

Step-by-step explanation:

I answered this question on

https://brainly.com/question/23795763

It wasn't the same question but yes

Riley has 3 hours to play before dinner. She spends 3/5 of that time playing outside. How long does riley play outside

Answers

Answer:

1.8 hours

hope that helps<3

Answer:

1.8 hours is the answer

Select the numbers that make the inquality true. selct all that apply. m > 0
A. 0
B. 1
C. 2
D. 3
E. - 1 ​

Answers

Answer:

1, 2, 3

Step-by-step explanation:

two dice are rolled write the sample space and number of sample points also write events and number of sample points in the event according to the given condition sum of the digits of upper faces is a prime number , sum of the digits on the upper face is a multiple of 5 , sum of the digits on the upper face is 25 and digit on the upper face at the first die is less then then the digit on the second die​

Answers

Answer:

S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36

E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15

Step-by-step explanation:

thats the answer

PLS HELP PLS In the diagram below, ΔABC ≅ ΔDEF. Complete the statement ∠B ≅

A. ∠D
B. ∠A
C. ∠C
D. ∠E

Answers

Answer:

Angle B is congruent to Angle E.

Step-by-step explanation:

Also, if youve read Romeo and Juliet, please help me! My essay is due tomorrow. I just need informal help, no specific lines or anything

In the diagram below, ΔABC ≅ ΔDEF. Therefore, by CPCT, ∠B = ∠E.

What is CPCT?

Corresponding parts of congruent triangles or CPCT is used to denote the relation between the sides and the angles of two congruent triangles.

Since, ΔABC ≅ ΔDEF,

AB = DE

BC = EF

AC = DF

∠A = ∠D

∠B = ∠E

∠C = ∠F

Learn more about CPCT here

https://brainly.com/question/21360865

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What is the weight of a science book if its mass is 250g​

Answers

2.45 N

weight = mass x 9.8 m/s^2

Answer:

Here,

Mass ( m ) = 250g = (250/1000) kg =0.25 kg

g =9.8 m/s^2

Weight ( W ) = ?

We know that,

Weight ( W ) = m*g [Where g is acceleration due to gravity]

                   = (0.25*9.8) N

                    = 2.45 N

Hope it helps!

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