An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer 1

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

Answer 2

The answer is 35.1 cm².

Hope this helps; have a great day!


Related Questions

how do i simplify this problem?

Answers

Answer:

[tex]9x \frac{19}{4}[/tex]

Step-by-step explanation:

Given Expression:

[tex]\sqrt[4]{(3x^3)^3 times (3x^2)^5}[/tex]

Simplification:

[tex]9x\frac{19}{4}[/tex]

The wheels of a car have a radius of 14 inches and are rotating at 750rmp. Find the speed of the car in mi/h

Answers

Add 750 plus 14 Answer: 764

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

[tex]X\leq 1[/tex]

Because the line show X is 1 or less.

Answer:

X [tex]\leq[/tex] 1

Step-by-step explanation:

Since the dot is solid that means it includes 1

and since the line is going towards negative infinity that is why it is less than

So X is less than or equal to 1 which is the first answer

Alyssa swims 3 laps in 12 minutes. At this same
rate, how many laps will she swim in 30 minutes?

Answers

Answer:

I think 7

Step-by-step explanation:

By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...

The figure represents a design for a stained glass window. The window is divided by cords MN and ST. What is the value of x

Answers

Need the points sorry

Evaluate f(x)=13(6)^x for x=3

Answers

Answer:

f(x) or y=2808

Step-by-step explanation:

Makayla has $740 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $465.34.
She buys 4 bicycle reflectors for $13.25 each and a pair of bike gloves for $18.12.
She plans to spend some or all of the money she has left to buy new biking outfits for $25.69 each.

What is the greatest number of outfits Makayla can buy with the money that's left over?

Answers

She can buy about 7 outfits.

Number of biking outfit Makayla buy is 7

Given:

Total amount spend by Makayla = $740

Cost of bicycle = $465.34

Cost of 4 bicycle reflectors = $13.25(each)

Cost of pair gloves = $18.12

Cost of each biking outfit = $25.69 each

Find:

Number of biking outfit Makayla buy

Computation:

Assume;

Number of biking outfit Makayla buy = a

Total cost = Cost of bicycle + Total Cost of 4 bicycle reflectors + Cost of pair gloves + Total cost of biking outfit

465.34 + 4(13.25) + 18.12 + a(25.69) = 740

465.34 + 53 + 18.12 + a(25.69) = 740

536.46 + a(25.69) = 740

a(25.69) = 740 - 536.46

a(25.69) = 203.54

a = 7.9229

Rounding number to less

So.

Number of biking outfit Makayla buy = 7 (Approx.)

learn more;

https://brainly.com/question/15012403?referrer=searchResults

please this is quiz due in a hour ill up the points

Answers

Answer:

DE and DF are equal to 2√2

Step-by-step explanation:

According to the 45-45-90 triangle rule, the hypotenuse is equal to the legs times √2, so in order to find the legs, you have to divide 4 by √2 to get 2√2.

Please help me I’ll give points just please help me!!

Answers

Answer:

115

Step-by-step explanation:

It should equal 115 degrees.

Find the measure of FG.

Answers

Answer:

26

Step-by-step explanation:

both bottoms corners are equal lengths so the other length has to be 26 since the other length is 26.

BRAINLIEST for the correct answer!
7th grade math
Find the area of this shape​

Answers

area of figure = 38 ft²

follow me

Answer:

38 ft^2

______________

Tell whether the triangles
are similar.
Yes or No

Answers

Answer: yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

107 minus 39 is equal to 146. 180 (total degrees for triangles) minus 146 is 34. The triangles are equal

20% of

games is 8 games

Answers

Answer:

games is 40

Step-by-step explanation:

you know that 20% of games is 8. let's take a look at this from a fractions view. 1/5 of 100 is 20. so if 8 is 1/5 of Games, multiply 8 x 5 to find the whole, which is 40, the answer!

please help! Write answer in standard form! ​

Answers

9514 1404 393

Answer:

  15v^5 +4v^3 -24v^2

Step-by-step explanation:

Distributing the minus sign, we have ...

  3v^5 +8v^3 -10v^2 +12v^5 -4v^3 -14v^2

  = (3 +12)v^5 +(8 -4)v^3 +(-10 -14)v^2

  = 15v^5 +4v^3 -24v^2

A trapezoid has an area of 200 square inches

The larger base is 14 in and the height is 16 in find the smaller base of the trapezoid.

A. 11in²
B. 11in
C. 12.5in
D. 12.5in²​

Answers

Answer:

B 11in

Step-by-step explanation:

Area of trapezoid is

[tex] \frac{1}{2} (h)(b _1 + b_2)[/tex]

Does the given side lengths make a right triangle? 9, 37, 40

Answers

Basically can you do pythagoras on it
40 would have to be the hypotenuse as it’s the largest, so if 9^2 + 37^2 = 40^2 then we have a right triangle
9^2 + 37^2 = 1450
40^2 = 1600
1450 doesn’t equal 1600, so those side lengths don’t make a right triangle

Identify the pairs of corresponding angles

Answers

Answer: A

Step-by-step explanation:

If you flip the second triangle straight upwards so that x is on top and z,y are on the bottom, you could visualize the points and angles in the same locations.

Question 15
Identify the notes on the treble clef staff. Your answer should spell a word. For the line notes, use your mnemonic device.

Answers

Answer:

FEED

Explanation:

Notes on the lines = E G B D F (from bottom to top)

Notes in between the lines = F A C E (from bottom to top)

little help:

you can remember the notes on the line by making a sentence with the letters

ex:

E = every

G = good

B = boy

D = deserves

F = fun

9. A photographer rented a booth at an art fair for $630. The photographer sold each
photograph for $45 and made a total of $1,980 after paying for the booth. How many
photographs did the photographer sell at the fair?
A. 14
B 30
a. 44
D. 58

Answers

B.30 because you have to subtract the amount of the cart from the total then divide that to 45 to see how many paintings

Help me please just need this last one and I’ll be done please help me if you can

Answers

Answer:

58°

Step-by-step explanation:

Start with the equation 2x + 2 + 90 = 148

( I got the 90 from Angle B since it is a right angle.)

Combine like terms 2x + 92 = 148

( 90 and 2 didn't have variables so you could add them together.)

Subtract 92 from both sides 2x + 92 = 148

                                                      -92   -92

(The opposite of addition is subtraction.)

Now write out the new equation 2x = 56

Divide both sides by 2 [tex]\frac{2x}{2}[/tex] = [tex]\frac{56}{2}[/tex]

You'll end up with... x = 28

To find the measure of angle BAC, plug in 28 where the x value is 2(28) + 2

This gives you the answer 58°

латна монтаж на работа
hmhoo.com/assem stessment HM Growth Measures
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Save & Exit
Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo

Answers

Answer:

$183.75

Step-by-step explanation:

divide by 12 (hours)

147/12=12.25

multiply by 15 (hours)

12.25*15=183.75

Hope this helps! :)

The ratio of yellow flowers to the total number of flowers in a bucket is 5 to 9. How many flowers are yellow if there are 45 lowers in all

Answers

Hey y’all are you doing this morning I just got home from school and I’m just going to sleep in the morning I woke you to the sleep I love y’all I woke you to the sleep bye love y’all I woke

Answer:

There are 25 yellow flowers.

Step-by-step explanation:

The ratio is yellow/all and 5/9.

We know that all the flowers in total equal 45, which is a multiple of 9.

So 45 divided by 9 = 5.

So all I had to do was multiply 5/9 times 5/5.

So then we get the ratio of 45 total flowers with 25 yellow flowers.

Hope this helps!

Draw line segment AB - 7cm and bisect it using compass.​

Answers

Answer:

Your answer is in picture.Steps of construction:

(i) Draw a line segment AB = 7 cm.

(ii) With A as centre and radius more than half of AB, draw arcs, one on each side of AB.

(iii) With B as centre and same radius as before, draw arcs, cutting the previously drawn arcs at X and Y respectively.

(iv) Now join XY, meeting AB at O.

Thus, XY is the perpendicular bisector of AB.

Step-by-step explanation:

Hope it is helpful....

I need the answer please

Answers

Answer:

missing angle = 41, b. 45, c. 72

Step-by-step explanation:

A circle has 360 degrees, so add all of the existing angles

48+45+129+97 = 319 and 360-319 = 41

25/200 = 12.5% so 12.5% of 360 = .125x360 = 45

Sector 129 represents 129/360 = 35.83% so 200x.3583=72 cars

How much wrapping paper is needed to cover a box (rectangular prism) that measures 6 feet by 2.5 feet by 3 feet?

Answers

Answer:

81 feet ²

Step-by-step explanation:

Given that:

Dimension of rectangular prism :

6 feets by 2.5 feets by 3 feets

To obtain the amount of wrapping paper required to cover the box ; we find the area of the box ;

Area of box = 2(wl + hl + hw)

Area of box = 2(6*2.5 + 6*3 + 2.5*3)

Area of box = 2(15 + 18 + 7.5)

Area of box = 81 feet²

Which points are the vertices of the ellipse?
points G and H
points J and K
O
points L and N
• points M and N

Answers

Answer:

your answer is point g and h

3 and 4 guys! Please help! I suck at this

Answers

Answer

# 3 is D.(20) and #4 is D. ( The hourly rate charged by the locksmith)

Step-by-step explanation:

Hope that helped :)

Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).

Answers

Answer:

y = 2/5x + 33/5

Step-by-step explanation:

(-9,3) and (1,7)

m=(y2-y1)/(x2-x1)

m=(7-3)/(1+9)

m=4/10

m = 2/5

y - y1 = m(x - x1)

y - 3 = 2/5(x + 9)

y - 3 = 2/5x + 18/5

y = 2/5x + 33/5


Starting money = $350.
Interest rate = 2.5%
Time - 3 years.
How much interest?
a) $7.50
b) $26.25

Answers

Answer:

Step-by-step explanation:

I=Prt

I=350(0.025)3

I=$26.25

please help! Brainliest answer! thank you!1

Answers

Answer:

I think it's A

Step-by-step explanation:

because none of the others appear to be correct

Answer:

A. AB = CB

Step-by-step explanation:

If you compare all the lines shown, you can see that options B,C and D are all incorrect, therefore, the last remaining option, option A, is correct.

A. AB = CB

Hope this helps :)

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