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.
The answer is 35.1 cm².
Hope this helps; have a great day!
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
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What is the area of this figure?
Answer:
I think the area is 38
Step-by-step explanation:
area =38
Does this graph show a function? Explain how you know.
Answer:
I think it's A
...........................
the difference between a number and 21
Answer:
n - 21
Step-by-step explanation:
"difference" implies subtraction here.
The difference between a number and 21 is n - 21.
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
A rectangular prism has a length of 2 1/2 meters, a width of a moters, and a height of 2 1/4 meters,
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal,ima abt to get my a.s whooped so please help
Answer:
53
Step-by-step explanation:
Answer:
answer is 22 1/2 or in decimal form it would be 22.5
Step-by-step explanation:
.........................................help
Two straight lines are shown.
Answer:
(3,20)
Step-by-step explanation:
so O must be 0,0 and A is a midpoint of OB
This means B must be (14,12)
B is the midpoint of TS.
This means that the distance of SB is equal to the distance of BT.
This must mean that the coordinate of T must be (3,20)
O: (0,0) x coordinate increases by 7. y coordinate increases by 6.
A: (7,6)
B: (14,12)
S: (25,4) x coordinate decrease by 11. y coordinate increases by 8.
B: (14,12)
T: (3,20)
The coordinates of T are (3, 20).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width.
From the figure, A is the midpoint of OB and B is the midpoint of TS
The coordinates of O are (0, 0) and Coordinates of A are (7,6)
We can find coordinate of B.
(7, 6)=(0+x/2, 0+y/2)
(7,6)=(x/2, y/2)
x/2=7 and y/2=6
x=14 y=12
So the coordinates of B are (14, 12)
Now we can find the coordinates of T.
(14, 12)=(X+25/2, Y+4/2)
X+25=28
x=3
Y+4=24
Y=20
So the coordinates of T are (3, 20)
Hence, the coordinates of T are (3, 20).
To learn more on Straight lines click:
https://brainly.in/question/5952912
#SPJ2
Translate algebraic expression into a word phrase: 2 ( 5 + t )
Answer:
two times the sum of a number and 5
Step-by-step explanation:
can I add a photo here because I don't know how to ask a question in math
Answer:
you add a photo by pressing the link button at the bottom and choosing which picture you want
Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540
Answer: 45$
Step-by-step explanation:
Given
Principal [tex]P=\$500[/tex]
Rate [tex]R=6\%[/tex]
time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]
Simple interest is given by
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
In the question, time is taken in months which is incorrect
Putting values
[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
x > 2
Step-by-step explanation:
Since the dot is not filled in, it does not include 2. Since it is moving to the right, it means it is more than 2.
Hope that helps!
Answer:
x>2
Step-by-step explanation:
since the circle on the number two is a hollowed-out circle then it is less than greater than so it is not equal to anything. and since the arrow is pointed greater than 2.
So all values of x are greater than 2
Hope this helps :)
solve for x in a triangle. Round your answer to the nearest hundredth
pleaseee help im really confused
you are shopping for a Nintendo Switch and you have a choice to make. You can pay $420 and add 10% for shipping or pay $400 and add 20% for shipping. Which costs less?
Answer:
420 x .1 = 42
420 + 42 = 462
400 x .2 = 80
400 + 80 = 480
The first one is cheaper
Find the distance, c, between (0, 2) and (5, –2) on the coordinate plane. Round to the nearest tenth if necessary.
Answer: 6.4
Step-by-step explanation:
d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt (41)
d = 6.4
HELP giving brainlest for first person that answers and extra points
Please someone help me with this... and please thouroughly explain, i have no clue what to do.
144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.
A salt water solution is cooled to -3C. During an experiment , the mixture is heated so that its, temperature rises at steady rate. Write an equation to represent the temperature ,y, after x minutes
Answer:
[tex]y = -3+ rx[/tex]
Step-by-step explanation:
Given
[tex]Base = -3C[/tex]
[tex]Time = x[/tex]
Required
Determine the equation (y)
Let the steady rate be represented with r.
So, the equation (y) can be determined using:
[tex]y = Base + Rate * Time[/tex]
[tex]y = -3+ r* x[/tex]
[tex]y = -3+ rx[/tex]
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 1.58Step-by-step explanation:
base = X
hypotenuse = √5
cos 45° = base / hypotenuse
1/√2 = X / √5
X = √5 / √2
X = 1.58
Josh is going to choose a 2-digit number. What is the probability that the sum of the digits in his number will be 9? (there are 90 two digit numbers in total)
answer,,
18
27
36
45
54
63
72
81
hope my ans helps
please give brainliest to my answer
be sure to follow me
stay safe
Find the measure of angle a.
Answer:
a = 127°
Step-by-step explanation:
The 3 angles lie on a straight line and have a sum of 180°, that is
15° + a + 38° = 180°
53° + a = 180° ( subtract 53° from both sides )
a = 127°
After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?
Answer:
$67.2
Step-by-step explanation:
8% of $52.50
52.5 × 8/100 = $4.2
20% of $52.50
52.5 × 20/100 = $10.5
total
$52.5 + $4.2 + $10.5 =$67.2
pls help! right answer = gets brainiest! :))
Answer:
3
Step-by-step explanation:
The answer is Option One
What is the radius of a 0.8cm circle
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
Ms. Eckman will roll a single number cube. What is the probability that she will roll an even number?
Answer:
50 percent
Step-by-step explanation:
Which expression is a cube root of -1 + i sqrt 3
Answer:
c
Step-by-step explanation:
Answer:
I think A or C
Step-by-step explanation: hope this was helpful
solve for x , (2x-1)=5(x+1)
no links
Answer:
x = -2
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
(2x-1)= 5(x+1)
2x - 1 = 5x + 5
-2x -2x
- 1 = 3x + 5
-5 -5
-6 = 3x
-6/3= 3x/3
-2= x
pls hurry will give brainlyest or whatever !!!
Which coordinate rule matches this description? Dilation of original by 5.
(5x, y)
(x+5, y+5)
(5x, 5y)
(x, 5y)
Answer:
D (x,5y)
Step-by-step explanation: