6 of 6
An equilateral triangle with side length 17 cm is shown in the
diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The diagram is not drawn accurately.
cm²

Answers

Answer 1

Answer:

125.1 cm^2  to 1 D.P.

Step-by-step explanation:

We could use Heron's formula to do this

Area = √(s(s-a)(s-b)(s-c) )  where s is the  semi-perimeter and a b and c are the lengths of the 3 sides

So we have:

s = (17+17+17) / 2 = 25.5

and Area = √(25.5)(25.5 - 17)^3)

= √15660.1875

= 125.14 cm^2


Related Questions

The solution (-4,0) is a solution to which of the following equations? How do you know?
a)3y-x=4
b)10x+1/2y=3
c)-2x-3y=-4
d)-6x+2y=24

Answers

Answer:

Correct option is A)

If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0

Use FOIL to find the quadratic form: x

2

−4x−32=0. Therefore, the correct equation is (A)

Step-by-step explanation:

What do you think?

Don't forget to follow narin ty

James bought a movie ticket for $4.05. He
paid the movie ticket with quarters and
dimes. If James used 18 coins in all, how
many quarters (q) and dimes (d) did he use?
q+d=18

Please answer fast!!! Will give Brainliest!!!

Answers

Answer: 15 quarters and 3 dimes :D

can someone help me?


2x-3y= -1
y=x-1

Answers

x=4 & y=3

Explanation:

Picture

GUYS HELP ME IM FAILING GEOMETRY AND I NEED HELP pleaseee I need help with both please I’m begging

Answers

Step-by-step explanation:

Here is the solution hope it helps:)

Is kilobyte bigger than megabyte.

Answers

Answer:

no

Step-by-step explanation:

1 kilobyte = 1000 byte

1 megabyte = 1,000,000 byte

1 kilobyte = 1/1000 megabyte

Answer: no

Answer:

NO!!!! Kilobyte isn't BIGGER than Megabyte

Step-by-step explanation:

Here's the table:

1 Kilobyte = 1,024 Bytes

1 Megabyte = 1,024 Kilobytes

1 Gigabyte = 1,024 Megabytes

1 Terabyte = 1,024 Gigabytes

From the table, we can see that Megabyte is bigger than Kilobyte

If f(x) = 6x-6, find x when f(x) = 36.

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

given f(x) = 6x - 6 and f(x) = 36 , then equating gives

6x - 6 = 36 ( add 6 to both sides )

6x = 42 ( divide both sides by 6 )

x = 7

13. 12, 16, *, 20 Find the missing​

Answers

The answer is 18. It is counting up by twos! 12+2= 16.. 16+2= 18.. 18+2= 20

Subtract 59.05 from 70.00​

Answers

Answer:

-10.95 hope it helps so yeah and if it's wrong sorry

Answer:

10.95

Step-by-step explanation:

When solving a problem like this you can just take the decimals then add then back at the end for example. ...

7,000

-

5,905

_______

1,095

Then, add the decimal back in its original spot to give you 10.95

Hope this helps!

Verify (x-2) is a factor
of Q(x)=x²-3x²-4x+12

Answers

Answer:

(x - 2) is not a factor of Q(x)

Step-by-step explanation:

if (x - h) is a factor pf f(x) then f(h) = 0

if (x - 2) is a factor of Q(x) then Q(2) = 0

Q(2) = 2² - 3(2)² - 4(2) + 12

       = 4 - 3(4) - 8 + 12

       = 4 - 12 + 4

       = - 8 + 4

       = - 4

since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)

However , if the polynomial was meant to be

Q(x) = x³ - 3x² - 4x + 12 , then

Q(2) = 2³ - 3(2)² - 4(2) + 12

       = 8 - 12 - 8 + 12

       = 0

then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12

FIND RQ! Show work :)

Answers

Here is the answer
RQ= 52/2
RQ=26

A triangle has vertices v (3, 6), n (8,1), and h (1, -1. click on each blank to select a word or phrase to complete the sentence. triangle vnh is because the lengths of are

Answers

The triangle VNH is an isosceles triangle because the lengths of sides VH and NH are congruent

How to determine the type of triangle?

The coordinates are given as:

V = (3,6)

N = (8,1)

H = (1,-1)

Calculate the distance between each point using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]VN = \sqrt{(8 -3)^2 + (1 -6)^2}[/tex]

[tex]VN = \sqrt{50}[/tex]

[tex]VH = \sqrt{(1 -3)^2 + (-1 -6)^2}[/tex]

[tex]VH = \sqrt{53}[/tex]

[tex]NH = \sqrt{(8 -1)^2 + (1 +1)^2}[/tex]

[tex]NH = \sqrt{53}[/tex]

Notice that two sides of the triangle are equal.

Hence, the triangle VNH is an isosceles triangle

Read more about isosceles triangle at:

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what is the surface area of the green shapes there all the same

Answers

Answer:

I believe the answer is 10

Step-by-step explanation:

4x5 is 20 divided by 2 is 10. I hope you find this as helpful and correct, I am sorry if I am wrong.

Someone help, will give brainliest to first right answer

Answers

Answer:

The arrow points to the left, the arrow points to the right, and there is a closed circle on 2 8/9

Step-by-step explanation:

I hope this helps!!

write y=x^2-6x+17 in vertex form. step by step

Answers

Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

our original equation is

y = x² - 6x + 17

and now we simply compare the cording parts :

ax² = x²

a = 1

-2ahx = -2hx = -6x

-2h = -6

h = -6/-2 = 3

ah² + k = 17

3² + k = 17

9 + k = 17

k = 8

so the vertex form is

y = (x - 3)² + 8

HURRY ITS URGENT!!!!
9. If the equation (x+a)?=b has non-real solutions where a and b are real
numbers, which of these must be true?
A b-a is not a perfect square
B.
bis not a perfect square
C. b-aco
D. b <0

Answers

It has to be either A or B

What shape does the net form

Answers

Answer:

The correct answer is cone.

Step-by-step explanation:

Hope this helps:) Goodluck!

Find x if f(x)=2x-7 and f(x) = 18.

Answers

Answer:

x = 12.5

Step-by-step explanation:

f(18)=2x-7

18+7=2x

25=2x

x=12.5

Give brainiest please!

Hope this helps :)

quanto é 756 dividido por 63

Answers

Answer:

the answer is 12

Step-by-step explanation:

[tex] \frac{756}{63} \\ = 12[/tex]

Please help ASAP! Solve for 4

Answers

The answer for this question is 119°
ANSWER: 4= 149


Explanation: 180-58-61=149

HELP PLEASE. PLEASE DRAW AN EXAMPLE OF ANSWER 100 points !!!

Answers

As all sides are equal it's equitorual hexagon

An inscribed hexagon is best fit for construction

Steps

Draw a circle of radius rPut compass and take radius measure.Draw one. mark then draw 6 marks on circle one after other of measure r Connect 6 marks .

Done ! We created

you can erase the circle later on

Answer:

Attachment 1

Take a compass and adjust it so that it is the width of line r.

Place the point of the compass on the left point of line r and draw a circle going through the right point of line r with radius r.

Attachment 2

Take a ruler, place it so it is against line r and extend the line r across the width of the circle (this is the diameter of the circle).

Attachment 3

Place the point of the compass on the right point of line r and draw a circle (blue circle).

Place the point of the compass on the left of the diameter and draw a circle (orange circle)

Attachment 4

The points of intersection of the 3 circles are the vertices of the hexagon.  

Attachment 5

Join the points of intersection with line segments - this is your hexagon with sides equal to r.

(If necessary, erase the circles to show the hexagon only.)

PLEASE HELP ANSWERING THE QUESTIONS ILL GIVE BRAINLIEST OR WHATEVER

Answers

Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15

Step-by-step explanation:

explanation to 9:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439

P = $243.90

The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.

A cone has a volume of 471cm. If the radius of the cone's base is 5cm what is the height of the
cone? (Round to the tenths place.)
(use 3.14)

Answers

Answer: the height is 18 cm.

Step-by-step explanation:

The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.


Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:

1) V = 1/3πr²h

2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)


Now, we just need to input the given values: V = 471, π = 3.14, r = 5

h = 471 ÷ 1/3(3.14)(5²)

= 471 ÷ 1/3(3.14)(25)

= 471 ÷ 1/3(78.5)

= 471 ÷ (78.5/3)

= 18 cm

A triangle has sides with lengths of 8 kilometers, 11 kilometers, and 12 kilometers. Is it a
right triangle?
yes
no

Answers

Answer: No

The angles equal 76.592, 40.415, 63.056. Use Law of Cosines to find angles.
Answer: no

Please look at the picture for the explanation. :)

In a pet store there are a total of 25 animals 15 of the animals are dogs term is the ratio of animals that are not dogs to the total animals in the store explain the reasoning
for your answer

Answers

Answer:

25.15

Step-by-step explanation:

the 25 comes before the 18 in the sentence. super easy

There are two numbers, and one is 7 more than twice the other. The sum of the numbers is 3. What are the numbers? And what is the equation?

Answers

Answer:

2x + 7 = 3

2x = 3 - 7

2x = -4

2x/2 = -4/2

x= -2

Therefore the numbers are -2 and 7.

Which box and whisker plot accurately shows the data set below

Answers

3rd

Step-by-step explanation:

i am not sure though so confirm it

Answer:

Its the THIRD choice.

Step-by-step explanation:

The values in ascending order are:

6 6 7 9 11 14 15 15 17 19 21 23 23 23 28 31

So the median = (15+17)/2 = 16.

The lowest and highest values are 6 and 31.

The lower quartile is 10.

The upper quartile is 23.

Factor using the greatest common factor.
6x^4 + 15x^2 + 24x

show work.

Answers

Answer: [tex]3x(2x^{3} + 5x + 8)[/tex]

Step-by-step explanation:

[tex]6x^{4} + 15x^{2} + 24x[/tex]

[tex]3x(2x^{3} + 5x + 8)[/tex]

The factored expression is 3x(2x³ + 5x + 8).

To factor the expression 6x⁴ + 15x² + 24x using the greatest common factor (GCF), we first need to identify the common terms or factors that can be factored out from each term.

Step 1: Find the GCF of the coefficients (numbers).

The GCF of 6, 15, and 24 is 3.

Step 2: Find the GCF of the variables (x terms).

The GCF of x⁴, x², and x is x.

Step 3: Combine the GCF of the coefficients and variables.

The GCF of the entire expression is 3x.

Now, factor out 3x from each term:

3x * (2x³ + 5x + 8)

The factored expression is 3x(2x³ + 5x + 8).

Learn more about factor here

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use the method of elimination to find the equation of the line in y=mx+b form, that passes through each set of points (3,10) and (5,18)

Answers

Answer:

The answer is y=4x-2

Step-by-step explanation:

Guys what is the volume formula called for this please ?

Answers

Answer:

Total Area = 24830.437[tex]m^{3}[/tex]

Step-by-step explanation:

This will be using different AREA formula to find the inner area amount

The image is color coded to each shape area

Let me know if you have any questions !

Hope this helps :)

Can someone help me with this question?

A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.

Event A: The first ticket is a concert ticket.

Event B: The second ticket is a concert ticket.

about ___%.

Answers

To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%

Probability without replacement

To solve this problem, let's write down the data given;

Data;

Movie Ticket = 12Concert Ticket = 8

But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.

Total number of tickets =

[tex]12 + 8 = 20[/tex]

Let's proceed for the first event

[tex]P = \frac{8}{20}= \frac{2}{5}[/tex]

The probability the second event occurs will be

[tex]P = \frac{7}{20}[/tex]

The probability both events occur will be

[tex]P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%[/tex]

The probability that both events occurs is 14%

Learn more on Probability without replacement here;

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I really need help,can someone help me please!!!!!!!!???? Pls give a correct answer and I'll give 30 POINTS AND BRAINLIEST!!!!!!Read the excerpt from the play The King of Sharks, and examine the picture:Scene 4Fishermen and other villagers are crowded around the pool outside the princess's house. The princess and her son stand in front of them.Princess: It is time for my son to join his father in the ocean.Prince: I'm very sorry for all the trouble I've caused.Villagers: Back to the ocean with you!Prince: I promise to never take more than my share of the fish again.Prince hugs his mother goodbye and wraps the cloak around his shoulders. He jumps into the pool and swims down so deep that no one can see him. Far off, out in the ocean, a huge shark fin can be seen bobbing above the water. Soon, a smaller fin joins it.Narrator: The Shark Prince joined his father in the ocean, and to this day, the sharks never take more than their share of the fish.A large shark and a smaller shark swim in the deep blue ocean with only a little light coming from above.Public DomainIf the princess joined the shark king and the shark prince for a family reunion under the sea, how might the picture change to convey the tone of the revised passage?The princess might be running away from the village toward the ocean to convey the desperate tone of the revised passage.The princess might be sitting on a rock with her arms crossed while the sharks glared at her to convey the resentful tone of the revised passage.The sharks and the princess might be jumping in the waves with sunshine and a rainbow to convey the happy tone of the revised passage.The sharks might be hiding behind a large rock sticking out of the ocean to convey the suspenseful tone of the revised passage. 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