Answer:
Step-by-step explanation:
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
_______________________________________________
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.
What is the distance between points S and U if S is 2, 1 and U is 6, 8
Round to the nearest tenth of a unit.
A. 3.3 units
B. 6.4 units
C. 8.1 units
D. 12.0 units
The distance formula is:
D = sqrt((x2-x1)^2 + (y2-y1)^2)
D= sqrt ((6-2)^2 + (8-1)^2)
D = sqrt(4^2 + 7^2)
D = sqrt( 16 + 49)
D = sqrt(65)
D = 8.06
Rounded to the beat tenth = 8.1 units.
The answer is C. 8.1 units
Answer:
C
Step-by-step explanation:
S has coordinates (2 , 1) and U has coordinates (6, 8) . Computing the SU vector gives us (4 , 7)
taking the distance formula : sqrt(4^2 +7^2)
= sqrt(65) = 8.1 which is answer C
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]
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
If I could have help with this that would be great :) i’ve been working on it for about an hour.
5 daños colaterales de los avances medicos
Answer:
1. Dosis de la vacuna de Oxford
Step-by-step explanation:
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.
In a triangle the ratio of angles is 2:3:4 find the angles
Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
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?
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]
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
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
I don't have much but 25 points and brainliest pls :/
AAA someone help me pls :<
Solve the equation for x.
x² = 25/289
The solution of the equation is x = ?
I appreciate you :')
Answer:
x = −5.5 i think
Step-by-step explanation:
Good Luck!
A ladder is 51 inches tall. How tall is it in feet and inches?
Answer:
4 feet and 3 inches
Step-by-step explanation:
The measure of ladder in feet is 4.15.
Given that, a ladder is 51 inches tall.
Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
We know that, 1 feet = 12 inches
So, in inches = 51/12
= 4.25 feet
Therefore, the measure of ladder in feet is 4.15.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ6
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
Evaluate 7d, when d = 9 please!
Answer:
63
Step-by-step explanation:
When d=9, the equation should be 7 times 9 because you need to plug 9 in. Therefore, 7 times 9 is 63! I hope that helps!
Find the oth term of the geometric sequence 9, -27, 81, ...
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:
What is the surface area of the image below?
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?
solve for x in a triangle. Round your answer to the nearest hundredth
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:
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
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.
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.
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]
Help plz :)
Determine the measure of each unknown angle using the diagram.
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