Answer: 10.24
Step-by-step explanation:
2.56/1/4 is the same as 2.56*4/1 or 2.56*4= 10.24
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
_______________________________________________
In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
Submit Answer
Skip for Now
Answer:
Total students = 460+320+165=945
Key stage 3 ... asafraction = 460 divide by 945
the number in a sample of 100 = 460 divide by 945 x 100= 48.67
So 48 or 49 (are both, acceptable answers).
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
Rafael is cutting pieces of wood to make a triangular pyramid like the one shown below. The base of the pyramid is an equilateral triangle, and the faces are isosceles triangles.
Answer:
[tex]Total = 32.4in^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
The surface area of the pyramid
To do this, we calculate the surface area of each of the pyramid faces.
For the equilateral triangle.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.9in[/tex]
The area is:
[tex]A_1 = 0.5 * Base * Height[/tex]
[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]
[tex]A_1 = 8.775in^2[/tex]
There are 3 isosceles triangles of equal dimension.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.5in[/tex]
The area of one of them is:
[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]
[tex]A_2 = 7.875in^2[/tex]
For the 3, the surface area is:
[tex]3A_2 = 7.875in^2 * 3[/tex]
[tex]3A_2 = 23.625in^2\\[/tex]
The total surface area is:
[tex]Total = 8.775in^2 + 23.625in^2[/tex]
[tex]Total = 32.4in^2[/tex]
Does this graph show a function? Explain how you know.
Answer:
I think it's A
...........................
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]
Write the series using summation notation: -1 +4-9+ 16 - 25+ ...
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
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.
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.
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]
A gardener needs to move 2,782 pounds of dirt. He can carry 96 pounds in his wheelbarrow. How many trips will he need to make with the wheelbarrow?
Answer:
28.9
Step-by-step explanation:
2782 divied by 96 gives you 28.9.
What is the area of this figure?
Answer:
I think the area is 38
Step-by-step explanation:
area =38
solve for x in a triangle. Round your answer to the nearest hundredth
Oak Street and Elm Street run parallel to each other.
When Main Street
intersects them, it forms exterior Z8, measuring 60°.
What is the measure of
22?
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
What is the radius of a 0.8cm circle
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:
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
Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?
Answer:
21 pieces
Step-by-step explanation:
Given that,
Length of wood needed = 233 feet
The wood comes in lengths of 11 feet.
We need to find the number of pieces samuel need to buy. It can be done as follows :
Let he needed x peices. So
[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]
So, he will need approx 21 peices.
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]
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
Someone help me please ASAP
Answer:
false, should be left instead
Step-by-step explanation:
negative numbers on the left of zero, positive on the right
Answer:
False
Step-by-step explanation:
Negative numbers are to the left of zero (0) on a number line.
^
|
| type that in the box below
brainliest please
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:
The original price of a chair is $545. A store discounted the price of this chair by 25%. What is the price of the chair, not including tax, with the discount applied?
Answer:
$408.75
Step-by-step explanation:
25%=0.25
545*0.25=136.25
$545-$136.25=$408.75
Translate algebraic expression into a word phrase: 2 ( 5 + t )
Answer:
two times the sum of a number and 5
Step-by-step explanation:
which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2, 6) and (0, 0)
Answer:
B. (6,2) and (3,0)
Step-by-step explanation:
To find the slope the equation is [tex]\frac{y_{2-y_{1} } }{x_{2} -x_{1} }[/tex] so for (6,2) and (3,0) the equation would look like this [tex]\frac{0-2}{3-6}[/tex] which simplies down to [tex]\frac{-2}{-3}[/tex] and a negative divided by a negative is a positive so you're slope is [tex]\frac{2}{3}[/tex] and it matches the question.
Answer:
b
Step-by-step explanation:
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
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
A balance scale shows that 12 + 5 = 17. If five units are removed from one side, what needs to be done to the other side to keep the scale in balance?