Answers
Answer:
Using 22/7 as pi, the area of a circle with a diameter of 14 metres is:
154 m²
Step-by-step explanation:
To solve, use the formula for the area of a circle.
Formula for area of a circleRemember the formula for area of a circle. Be careful not to mix up the formula for area with the formula for circumference!
[tex]A = \pi r^{2}[/tex]
From the question, we know:
π = 22/7d = 14 mTo use the formula, we need the radius ("r").
Radius ("r")The radius is a line that goes from the centre point of the circle to the circle outline. It is half the length of the diameter.
Diameter ("d")The diagram shows the diameter ("d"), which goes through the centre point of the circle. It is twice the length of the radius.
Solve for "r".
r = d/2
r = (14 m)/2
r = 7 m
Solve for area using formulaSubstitute r = 7 m and π = 22/7 into the formula for the area of a circle.
[tex]A = \pi r^{2}[/tex] Start with the formula and substitute.
[tex]\displaystyle{A = \frac{22}{7} (7\ m)^{2}}[/tex] Square "7" and the "m".
Remember that the answer for area is always squared units.
[tex]\displaystyle{A = \frac{22}{7} (49\ m^{2})}[/tex]
Multiplying a fraction and whole number is the same as multiplying the whole number in the numerator (top of the fraction).
[tex]\displaystyle{A = \frac{22*49}{7}m^{2}}[/tex] Simplify the numerator.
[tex]\displaystyle{A = \frac{1078}{7}m^{2}}[/tex] Divide.
[tex]A = 154\ m^{2}[/tex] Final answer
∴ The area of the circle is 154 m².
Related Questions
look at the image and please tell me if I was correct
Answers
Answer:
yes
Step-by-step explanation:
you seem to be correct
Find the missing side of the right
triangle if one leg is 6 ft and the
hypotenuse is 8 ft.
A. 28 ft
B. √2 ft
C. 10 ft
D. 2√7 ft
E. 2 ft
Answers
Answer:
it's D
Step-by-step explanation:
squrt(8^2-6^2)
use Pythago law
Using Pythagorean theorem
a^2 + b^2 = c^2
C^2 (8) is the long diagonal, it is the hypotenuse and (6) is one leg.
6^2 + b^2 = 8^2
rearrange to isolate the unknown
b^2 = 8^2 - 6^2
B^2 = 28
Take square root of both sides
b= 5.3, same as (2 sq.rt. 7) answer D
Find the sum of the whole numbers from 1 to 570
Answers
Answer:
162,735
Step-by-step explanation:
570(570 + 1)/2 = 162,735
Find the base for the following items.
1.50 is 20% of what number?
2.18 is 3373% of what number?
3.4 is 1% of what number?
4.5% of what number is 90?
5.1623% of what number is 72?
Answers
Answer:
1.50 * 20% = 0.32.18 * 3373% = 73.53143.4 * 1% = 0.0344.5% * 90 = 4.055.1623% * 72 = 3.716856Step-by-step explanation:
I can't really explain, but Here comes the hoping:
Equation 1:
1.50 * 20%= 1.50 * 0.20= 0.3Equation 2:
2.18 * 3373% = 73.5314 (Can't find decimal).Equation 3:
3.4 * 1%= 3.4 * 0.01= 0.034Equation 4:
4.5% * 90= 0.045 * 90= 4.05Equation 5:
5.1623% 72= 3.716856 (Can't find decimal).Solve for the value of n.
(9n+2)
34°
Answers
Answer:
I think its 306n+68
Will give brainiest for this question and my other question too!
BC=
4. Given the figure and DG = 23
D 2x-9 0
x + 3
G
X =
DO =
OG =
Answers
Answer:
x = 13
DO = 7
OG = 16
Step-by-step explanation:
If the sum of the entire figure is DO + OG = 23, then we can create the equation:
(2x-19)+(x+3)=23
From this equation, we can identify that x = 13.
We can use this information to find your final answers of...
x = 13
DO = 7
OG = 16
Work out the bearing of C from A.
45°
65°
(Look at the picture) please help me
Answers
Answer:
110°
Step-by-step explanation:
if we're looking for the bearing of C from A, the angle should be formed at A
then, starting from the north poles, move in a clockwise direction till you meet the line coming from C . then, sum up the angles involved.
which is = 45°+ 65° = 110°
therefore, the bearing of C from A is 110°
84,326 dividido para 23
Answers
What is the area of the square with a length of 3/4 and a width of 3/4, in square units?
Answers
Decimal Form: 0.5625 (Not Rounded)
What equation describes the graph?
Answers
Answer:
C. y = 3x -2
Step-by-step explanation:
y = mx + b
start with b, the y-intercept, which is -2.
Next find m, the slope. From -2 on the y-axis you are going to find the slope by doing rise/run. You will rise 3 units and run 1 unit to get to the next point on the line.
The equation is y = 3x -2
Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 57 pencils.
There are 19 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there
were no pencils left over, how many pencils did each student get?
A. 24
B. 95
C. 3
D. 15
Answers
Answer:
15 pencils
Step-by-step explanation:
5 pencils * 57 pencils is 285 total pencils
285 / 19 = 15
alternatively you can do 57/19 * 5, which is also 15
The price of a tv was decreased by 20% to £1440. What was the price before the decrease?
Answers
Answer:
€ 1800
Step-by-step explanation:
x - 20% of x = 1440
x - 20x/100 = 1440
x - x/5 = 1440
(5x - x)/5 = 1440
4x/5 = 1440
therefore x = 1440 × 5/4 [ transpose 4/5 to right hand side ]
x = 360 × 5
= € 1800
Stanley walks a round-trip of 1.75 miles to work every day. How many miles will he walk in 5.5 days
A. 9.625 miles
B. 96.25 miles
C. 962.5 miles
D. 9625 miles
Answers
Multiply miles per day by number of days
5.5 x 1.75 = 9.625
answer: A. 9.625 miles
Explanation: 1.75 x 5.5 = 9.625
A. Reflect across the x-axis, then shift 10 units up
B. Reflect across the x-axis, then shift 4 units up
OC. Reflect across the x-axis, then shift 6 units up
n Deflect across the wavie then chift & unite un
← PREVIOUS
Answers
Answer:
b. reflects across the x-axid then shift 4 units up
Step-by-step explanation:
(5,3)
Will give brainliest.
Answers
Answer:
Im pretty sure its "A. 6"!
Have a nice day! :)
Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Create your own set of coordinates for △ B L U and graph it on a coordinate plane. Label each of the triangle's vertices. Write a scenario involving the dilation of △ B L U onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image. Use the distance formula or Pythagorean Theorem to prove mathematically that △ B L U is similar to its image. Include all necessary calculations.
Answers
Answer:
We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2
Step-by-step explanation:
Are the following ratios equivalent? 5 cookies: 8 glasses of milk and 7 cookies: 9 glasses of milk.
Answers
Answer:
no
Step-by-step explanation:
Britney is buying a shirt and a hat at the mall. The shirt costs $30.50, and the hat costs $19.75. If Britney gives the sales clerk$100.00, how much change should she receive? (Ignore sales tax.)
A. $49.75
B. $50.25
C. $59.50
D. $46.65
Answers
Explanation:
Add 30.50 and 19.75 to get 50.25
Subtract 100-50.25 to get 49.74
Hope it helped!
Porter has $99.931 in a savings account. The interest rate is 14% per year and is not compounded. To the nearest dollar, how much interest will he earn in 5 years?.
Use the formula i = prt, where I is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and it is the time in years. Round your answer to the nearest dollar.
$?
Answers
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$99.931\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (99.931)(0.14)(5)\implies I\approx 70[/tex]
In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines? A) transversal B) perpendicular C) normal D) bisector
Answers
Answer:
A) transversal
Step-by-step explanation:
The vocabulary term you're looking for is "transversal."
A transversal crosses parallel lines (or ones that are nearly parallel in the vicinity of the transversal).
HELP PLEASE 100 POINTS!!!!
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Answers
Answer: AA similarity posulate
Step-by-step explanation:
In ΔAJM and ΔAPB,
∠PAB = ∠JAM,
Also, since PB || JM, the corresponding angles formed by these two parallel lines with the line AJ are equal i.e.
∠AJM = ∠APB
So, using the AA similarity postulate, we can say that ΔAJM is similar to ΔAPB
need to paint an entire cylindrical tank (all sides) it is 29ft long and 9ft diameter find the total surface area.
Answers
Mya bought x shirts for $14.50 each and used a $20 coupon. Which equation represents theh total amount, a, she spent?
Answers
Also it would be 14x - 20
If there’s an answer that looked like that then that probably it.
Which function has zeros of -8, 1, and 3?
Answers
Answer:
A?
Step-by-step explanation:
(x-3) (x+8)(x-1) would be the solution
PLEASE HELP WILL MARK BRSINLIEST!!!!!
Answers
Answer:
AC=18
Step-by-step explanation:
Let's look at the smaller triangle first. Side AB is 2.5, side BC is 3.5 and side AC is 4.5. Now, looking at the larger triangle, we see that side AB is 10, side BC is 14 and side AC is unknown.
So, how do we find side AC?
First, let's take a look at the other sides available to us—how about AB? On the smaller triangle, AB=2.5, and on the larger triangle AB=10. So, what's their relation?
Well, let's first divide the two by each other: 10/2.5, of which gets us 4. Now, this in itself gives us answer, but let's just double check to be sure. So, taking side BC on the smaller triangle, 3.5, and on the larger triangle, 14, we then divide the two again. 14/3.5 and- look at that! We get 4 again again.
This tells us that 4 is then our multiplier, so we can write the equation as follows: 4.5 (of which we get from the smaller triangle) *4=?. So, with the equation 4.5*4, we get 18 as our answer for ?, or simply the unknown side "a".
Surface area of chili deer
Answers
Answer:
C. 314.2 cm²
Step-by-step explanation:
Surface area for cylinder
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.
[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.
Given information:
r = 5 cm
h = 5 cm
Insert the values into the formula and evaluate
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]
f(x)=3x=2 what is f(5)?
Answers
Answer:
F(x) = 3x × 2
F(5) = 3(5) × 2
F(5) = ( 3 × 5 ) × 2
F(5) = 15 × 2
F(5) = 30
F(x) = 3x x 2
F(5)= 3(5) × 2
F(5) = 15 × 2
F(5) = 30
Answer by Ninawhat is the measure of an angle if the hypotenuse is 13 and adjacent side is 12?
Answers
[tex]cos(\theta)=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{13}}\implies cos^{-1}[cos(\theta)]=cos^{-1}\left( \cfrac{12}{13} \right) \\\\\\ \theta =cos^{-1}\left( \cfrac{12}{13} \right)\implies \theta \approx 22.62^o[/tex]
Make sure your calculator is in Degree mode.
A board 4 feet 8 inches long she cut a board 56 inches long explain how you can convert one of the measurements so that both use the same unit
Answers
Answer:
4 feet = 48 inches
48 + 8 = 56 inches
Step-by-step explanation:
4 feet = 48 inches
48 + 8 = 56 inches
Giving brainliest and 50 points
Answers
Answer:
mean: 26
minimum: 0
first q (lower): 5
median: 27
third q (upper): 44
max: 45
(all your answers for Aaron are correct as well:)
hope this helps:)
