Answer:
A
Step-by-step explanation:
Area of a circle = [tex]A = \pi r^{2} \\[/tex]
R = 1/2 diameter
R = 14 / 2 = 7
A = π(7)²
A = 153.86
Answer:
a
Step-by-step explanation:
Write the exact value of the side length of a square whose are in square units are given. For example, use sqrt(9) to represent the square root of 9. Areas: 36 37 100/9 2/5 0.0001 0.11
Answer:
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
Step-by-step explanation:
To find - Write the exact value of the side length of a square whose are in square units are given
a) 36
b) 37
c) 100/9
d) 2/5
e) 0.0001
f) 0.11
Proof -
We know that ,
If a is the side length of the square then,
Area of square = a²
Now,
a) 36
⇒a² = 36
⇒a² = (6)²
⇒a = 6
∴ we get
Side length of the square is 6 units.
b.) 37
⇒a² = 37
⇒a² = [sqrt(37)]²
⇒a = sqrt(37)
∴ we get
Side length of the square is sqrt(37) units.
c.)100/9
⇒a² = 100/9
⇒a² = [10/3]²
⇒a = 10/3
∴ we get
Side length of the square is 10/3 units.
d.)2/5
⇒a² = 2/5
⇒a² = [sqrt(2/5)]²
⇒a = sqrt(2/5)
∴ we get
Side length of the square is sqrt(2/5) units.
e.)0.0001
⇒a² = 0.0001
⇒a² = [0.01]²
⇒a = 0.01
∴ we get
Side length of the square is 0.01 units.
f.)0.11
⇒a² = 0.11
⇒a² = [sqrt(11)/10]²
⇒a = sqrt(11)/10
∴ we get
Side length of the square is sqrt(11)/10 units.
We get the value of the,
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
We have to find the exact value of the side length of a square whose are in square units are given
a) 36
b) 37
c) 100/9
d) 2/5
e) 0.0001
f) 0.11
We have given that,sqrt(9) to represent the square root of 9.
We know that ,
If a is the side length of the square then,
what area of the square?Area of square = a²
For option a) 36
⇒a² = 36
⇒a² = (6)²
⇒a = 6
∴ we get side length of the square is 6 units.
For the option b is 37.
⇒a² = 37
⇒[tex]a^2 = \sqrt{37} ^2[/tex]
⇒[tex]a = sqrt(37)[/tex]
∴ we get side length of the square is [tex]\sqrt(37)[/tex] units.
c.)100/9
⇒[tex]a^2 = 100/9[/tex]
⇒[tex]a^2= [10/3]^2[/tex]
⇒[tex]a = 10/3[/tex]
∴ we get side length of the square is 10/3 units.
for the option d.)2/5
[tex]a^2= 2/5[/tex]
[tex]a^2 = [\sqrt(2/5)]^2[/tex]
⇒[tex]a = \sqrt(2/5)[/tex]
∴ we get side length of the square is [tex]\sqrt(2/5)[/tex]units.
for the option e.)0.0001
[tex]a^2 = 0.0001[/tex]
[tex]a^2 = [0.01]^2[/tex]
[tex]a = 0.01[/tex]
∴ we get side length of the square is 0.01 units.
For option f.)0.11
⇒[tex]a^2 = 0.11[/tex]
⇒[tex]a^2= [\sqrt(11)/10]^2[/tex]
[tex]a = \sqrt(11)/10[/tex]
∴ we get side length of the square is[tex]\sqrt(11)/10[/tex] units.
Therefore we get,we get the value of the,
a.) Side length of the square is 6 units.
b.) Side length of the square is sqrt(37) units.
c.) Side length of the square is 10/3 units.
d.) Side length of the square is sqrt(2/5) units.
e.) Side length of the square is 0.01 units.
f.) Side length of the square is sqrt(11)/10 units.
To learn more about the area visit:
https://brainly.com/question/25292087
Find the measure of missing angles
B is 20 degrees, c is 160 degrees.
A straight line is 180 degrees, but because there are 2 lines, they cut into each-other causing there to be 4 angles, 2 pairs of the same amount, let the known angle be angle A.
Angle A and angle B are the same, Angle A is 20 degrees meaning that angle B is 20 degrees, leaving 160 degrees to be what c equals
Angle B= 20 degrees
Angle C= 160 degrees
evaluate 2x + 5 - 10 when x = 12
1/3 x4 need help asap
Answer:
4/3 or 1 1/3
Step-by-step explanation:
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 19)(0,19) and (3, 9728)(3,9728).
Answer:
y = 19*(8)^x
Step-by-step explanation:
We want to write an equation like:
y = a*b^x
That goes through the points (0, 19) and (3, 9728)
Then, when x = 0, we must have y = 19
Replacing those values in the equation we get:
19 = a*b^0 = a*1 = a
19 = a
Then the equation is:
y = 19*b^x
We also know that when x = 3, y = 9728
If we replace these values in the equation, we get:
9728 = 19*(b)^3
Let's solve this for b.
9728/19 = b^3
512 = b^3
∛512 = b = 8
Then the equation is:
y = 19*(8)^x
help please. the one about the restaurant.
Find the Area of a Trapezoid.
Base 1 :2
Base 2 : 3
Height :2
Answer:
The area would be 5
fill in the blank !!
Answer:
multipclation invearse :) HOPE THIS HELPSS
Step-by-step explanation:
Ashley is considering attending the state university to obtain a 4-year bachelors degree. For one year, the tuition fee is $9890, room and board is $8250, and books are $680. What will be the cost over the total 4 years of obtaining the degree?
what is the GCF of 16 and 24
Answer:
Method 2: GCF of 16 and 24 by Listing the Common Factors
Common Factors of 24 and 16 : 1, 2, 8 and the greatest among them is 8.
3. John is making a tent for the next camping trip. The tent is pictured below. How
much fabric does he need for the tent?
6 m
6 m
5 m
10 m
8 m
Answer:
the sides = 6 * 10 * 2 = 120 sq meters
front & rear triangle = .5 * 8 * 5 * 2 = 40 sq meters
total fabric needed = 160 square meters
that is NOT one of your answers but I think you may not have typed it correctly.
Step-by-step explanation:
Which are equivalent expressions?
Check all that are true.
2a · 2b = 2ab
6a = 6 · a
5a = 5 + a
3ab = 3c
2a · b = 2ab
Answer:
6a=6.a I think is true cause it's like the same thing
Find the area of the shaded region.
Answer:
[tex] 426.96 \: {km}^{2} [/tex]
Step-by-step explanation:
Area of the shaded region = Area of triangle with base 40 km and height 27 km - Area of circle with radius (12/2) 6 km.
[tex] = \frac{1}{2} \times 40 \times 27 - 3.14 \times {(6)}^{2} \\ \\ = 20 \times 27 - 3.14 \times 36 \\ \\ = 540 - 113.04 \\ \\ = 426.96 \: {km}^{2} [/tex]
The tree was 8.5 inches when it was planted. The tree grew 1.5 inches each year.
Can anyone do it pleaseeeee
Answer:
hi
Step-by-step explanation:
probably it must be like this,
8.5+1.5=10 in
hope it helps
have a nice day
The perimeter of a rectangle is the same as the
perimeter of a square. If the area of this rectangle
is x^2 + 4x – 21 and the side lengths are integers,
find:
a. the perimeter of the rectangle
b. the area of the square
Answer:
a. 20
b. 25
Step-by-step explanation:
Let find the side lengths of the rectangle,
We can complete the square.
[tex] {x}^{2} + 4x - 21[/tex]
[tex] {x}^{2} + 4x = 21[/tex]
[tex] {x}^{2} + 4x + 4 = 25[/tex]
[tex](x + 2) {}^{2} = 25[/tex]
[tex](x + 2) = 5[/tex]
[tex]x = - 7[/tex]
or
[tex](x + 7)[/tex]
[tex]x = 3[/tex]
or
[tex](x - 3)[/tex]
This means the perimeter of is
2 times -7 equal 14
2 times 3 equal 6
14+6=20.
The side lengths of the square is equal so each side length will measure 5.
[tex] {5}^{2} = 25[/tex]
Monica’s retirement party cost two dollars, plus an additional three dollars for every guess she invites. If there are 16 guests, how much will monica’s retirement party cost
Answer:
TWO BUCKS?? ballin on a budget
anyways, if there are 16 guests, the party would cost $50. sounds a lot more correct lol
What is the average of 105 and 147
Answer:
126
Step-by-step explanation:
A 3foot wide sidewalk surrounds a rectangular flower bed. The flower bed is 8feet wide and 10 feet long.
A rectangle has a length of 6 cm and an area of 18 cm2.
What is the width of the rectangle?
Answer:
A=l×b
18 = l × b
b = 18/6
b = 3
A high-speed train travels at a speed of 200km/h. If the train sets off from Station A at 12 24 and reaches station B at 14 12, find the distance between the two stations.
Given:
Speed to train = 200km/h
The train sets off from Station A at 12:24.
Reaches station B at 14:12.
To find:
The distance between both stations.
Solution:
We have,
Speed to train = 200km/h
Time taken by the train to cover the distance between station A and station B is the difference between 14:12 and 12:24.
Time = 1 hr 48 min
Time = 1.8 hours [ 1 hr = 60 minutes]
Let d be the distance between both stations.
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
[tex]200=\dfrac{d}{1.8}[/tex]
[tex]200\times 1.8=d[/tex]
[tex]360=d[/tex]
Therefore, the distance between the two stations is 360 km.
HELP please will give brainiest!! No robots please,
Find the slope and the y-intercept of the graph of the linear equation.
Answer:
Slope is -4/5
Y-intercept is -2
Step-by-step explanation:
use equation y=mx+b
Given that x^6 = 64, which of the following could be the value of 9x^2 + 3x ?
Answer:
42,-42
Step-by-step explanation:
We first solve for x from x^6 = 64, by taking the root of both sides, and we get x = 2,-2
We then plug in both of the x values and get 42,-42
PS: That should be the right answer but you didn't include the possible answers, and I somehow also got 30 when plugging in -2, but just try it yourself to be safe.
What is the measure of LXZW?
850
150°
Y
65°
95
Z
215°
W
30°
Answer:
so the answer is 95°
Step-by-step explanation:
The two angles on a line add up to 180° or are supplementary, so we can find the inside angle x by doing 180-150=30°. Now that we know inside x is 30, if we add 30+65, we get 95, and 180-95=85°. Then to find angle xzw, just do 180-85 to get 95°.
what is the slope of the blue line and the green line simplified
Answer:
1
Step-by-step explanation:
The slope can be found using the RISE/RUN equaton.
Looking at both graphs we see that they are parallel so that tells us that they have the same slope.
We can count how many boxes up and then how many boxes right this line goes to find the slope.
We also know that the slope is positive because the lines are increasing from left to right.
Look at the question below
Answer:
y=6x is the answer
Step-by-step explanation:
Answer: y=6x
Step-by-step explanation:
12= (6) 2
24=(6) 4
36=(6) 6
48= (6) 8
So 6 is the correct.
HALP ME PLZZ ASAP NO LINKS
Answer:
Step-by-step explanation:
Help please no links please
Answer:
10ft × 7ft = 70sq ft
Step-by-step explanation:
The width of the Bed is = The width of the study corner = 10ft
Which angles are adjacent? Select all that apply.
∠AFB and ∠BFC
∠AFB and ∠CFD
∠BFC and ∠CFD
∠BFC and ∠DFE
∠CFD and ∠DFE
Plz Do not look at my name and hack me
Answer:
1
3
Step-by-step explanation:
Answer:
A,C,E or 1,3,5
Step-by-step explanation:
5
A small apple weighs
16
Ib. A digital scale shows the weight in decimal form.
What weight, in pounds, does the scale show? Record your answer on the grid.
Then fill in the bubbles.
the answer should be 16.0
E. a distance of 5 multiply 10^5 cm in 2 multiply 10^-5 seconds
Answer:
The speed is 900,000,000 km/h
Step-by-step explanation:
The ratio of distance covered to time taken gives the speed of an object
[tex]Speed, \ v = \dfrac{Distance, \ d}{Time, \ t}[/tex]
Given that the distance covered, d = 5 × 10⁵ cm
The time to travel the given distance, t = 2 × 10⁻⁵ seconds
Therefore;
[tex]Speed, \ v = \dfrac{5 \times 10^{5} \ cm}{2 \times 10^{-5} \ s} = 2.5 \times 10 ^{10} \ cm/s[/tex]
In km/h, we have;
1 cm = 0.00001 km
∴ v = 2.5 × 10¹⁰ cm/s × 1 km/(100,000 cm) × 3,600 s/h = 900,000,000 km/h
The speed is 2.5 × 10¹⁰ cm/s or 900,000,000 km/h.