Answer: 0.45
........................
What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π
Step-by-step explanation:
the area of a full circle (360°) is
pi×r² = pi×5² = pi×25
a 40° segment is then just 40/360 = 1/9 of the full circle.
so,
pi×r²×1/9 = pi×25/9 = pi×2.777777777...
so, either there is a mistake in the problem description, or your teacher wants you to cut off the decimals (after the decimal point), in which case D would be the right answer.
since our radius is 5, that makes r² always 25.
there are no integer factors I can divide 25 by to create any of the 4 solutions of 16 or I or 4 or 2.
and there is no integer factor I can divide 360 by to get 25.
so, something is wrong here regarding the problem description. either the radius or the angle or the solution options are wrong and not fitting to each other.
I have this equation that I tried to factor:
2m^2 +7m+6
I got (2m+1)(m+6) because 6*1=6 and 6+1=7
but after confirming it with an algebra solving site, the answer is (2m+3)(m+2)
How would you arrive to this answer? (It would be great if you could explain each step)
The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.
Now we must find two factors of 12 that add to 7 (the middle coefficient).
Through trial and error, you should find that:
3*4 = 12
3+4 = 7
So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.
2m^2 + 7m + 6
2m^2 + 3m + 4m + 6
(2m^2 + 3m) + (4m + 6)
m(2m + 3) + 2(2m + 3)
(m + 2)(2m + 3)
(2m + 3)(m + 2)
The order of the factors doesn't matter since something like 2*3 is the same as 3*2.
------------------------------------------------
Verifying the answer:
You can use technology like you did to check the answer, but here's one way to do it without a calculator.
(2m + 3)(m + 2)
n(m + 2) ...... let n = 2m+3
mn + 2n .... distribute
m( n ) + 2( n )
m(2m+3) + 2(2m+3) .... plug in n = 2m+3
m*2m + m*3 + 2*2m + 2*3 .... distribute
2m^2 + 3m + 4m + 6
2m^2 + 7m + 6
We arrive back at the original trinomial, so we have confirmed the answer.
Scale word problem
Someone please help!!
Answer:
60.6 cm length
43.2 cm width
Step-by-step explanation:
The scale is 1 m = 6 cm
Take the length in meters, multiply it by 6, and change the unit to cm.
10.1 m becomes 10.1 × 6 cm = 60.6 cm
7.2 m becomes 7.2 × 6 cm = 43.2 cm
PLEASE HELP!!!
NO LINKS!!!!
7. A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square
centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic
centimeter?
8. The volume of a sphere is 2,000pim^3. What is the surface area of the sphere to the nearest square meter?
9. The volumes of two similar solids are 1408 m^3 and 594m^3. The surface area of the smaller solid is 549m^2. What is the surface area of the larger solid?
10. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14cm?
Answer:
im lost only because you made this so long
Step-by-step explanation:
Visible light waves that our eyes see as the color red have a wavelength of about 6.7 x 10-7 meters. What is the frequency of these waves? The speed of light is 3.0 x 10 8 m/s. [v = 1f]
The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]
What is wavelength?Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.
How to calculate frequency.Mathematically, the frequency of a wave is given by this formula:
[tex]F = \frac{V}{\lambda}[/tex]
Where:
F is the frequency of a wave.V is the speed of a wave.[tex]\lambda[/tex] is the wavelength of a wave.Substituting the given parameters into the formula, we have;
[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]
Read more on frequency here: https://brainly.com/question/19250621
i need help
will give 30 points
Answer:
Step-by-step explanation:
When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.
When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T. Which measurement is the closest to the height of the mountain cliff in feet?
342
364
940
2747
Answer:
Step-by-step explanation:
The value of measurement of the closest to the height of the mountain cliff in feet is,
⇒ Mountain Height = 360 feet
Given that;
When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.
And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T
Hence, By graph we get;
⇒ tan 20° = Mountain Height / 1000
⇒ 0.36 = Mountain Height / 1000
⇒ 0.36 × 1000 = Mountain Height
⇒ Mountain Height = 360 feet
Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,
⇒ Mountain Height = 360 feet
Learn more about the multiplication visit:
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#SPJ2
Mark has two summer jobs he babysits and helps with the gardening he works at each job three days a week and I was a total of 240 Mark has two summer jobs he babysits and helps with the gardening he works at each job three days a week and I was a total of 240 the table shows his earnings each day how much money does he earn each day babysitting
Answer:
$5.71 a day
Step-by-step explanation:
240/6 = 40
40/7 = 5.71428571429
Round 5.71428571429 = 5.71
Given that lines b and c are parallel, select all that apply.
Which angles are congruent to 3?
4
7
2
6
Answer:
Angles 7, 2, and 6
Step-by-step explanation:
Angle 7 is congruent by corresponding angles to angle 3.
Angle 2 is congruent by vertical angles to angle 3.
Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.
Answer:
7,2,6
Step-by-step explanation:
Please help im confused.
Answer:
The first choice is the answer.
Step-by-step explanation:
Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat.
the probability of randomly selecting a number less than 16 is 3/4 choose the
likelihood that best describes the probability of this event.
Answer:
Likely
Step-by-step explanation:
took the test
PLEASE HELPPPP!!!!!!
Answer:
i dont know
Step-by-step explanation:
try breaking it into smaller shapes
. In Problem 2, how many lateral faces would there be if the base had
two sides of length 3 tnches and four sides of length 2 inches? Explain.
The number of lateral faces for a hexagonal prism or pyramid is 6.
What is a prism?A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.
Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.
The number of lateral faces for a hexagonal prism or pyramid is 6.
Find out more on prism at: https://brainly.com/question/23963432
Can someone please help me with this if you can thank you!
Answer:
38.69
Step-by-step explanation:
=$38.69411765
=$38.69 (to the nearest cent)
(100/85) \$32.
how do i do
6w cubed - w
i am so confused
5. The function f(x) = 17400(0.85)* represents the values of a certain type of car x years after it is
purchased. Xavier states that the decay rate of the value of the car is 85%.
Answer:
Prakash is a pilot change into yes no question
I just need help on this one :) could u please try quickly
-3 x 2-1
I got -7. I tried probably wrong
please help!!!! thanks
A software store has put some of its inventory on sale. games are marked down by 15%, and security programs are marked down by 18%. if you pay $35.70 each for two games and $22.96 for a security program, how much have you saved? a. $17.64 b. $14.84 c. $12.24 d. $11.34
The amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.
What is the discount?A discount refers to an amount deducted from the normal selling price of an object.
Let x be the original price of one game and y be the original price of one security program.
Given pay $35.70 each for two games and $22.96 for a security program.
The total pay with discount
$35.70 + $22.96 = $58.66
Also, 100% - 15% = 85%
100% - 18% = 82%
here, we have
0.85 (2x) = 35.70
1.70x = 35.70
x = $21
0.82 y = 22.96
y = $28
the total pay without discount
2x + y = 2 (21) + 28
= $70
The amount saved is 70 - 58.66 = 11.34
Therefore, the amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.
Learn more about discounts;
https://brainly.com/question/1289629
Answer:
d. $11.34
Step-by-step explanation:
Jack took a test and got 13 out of 17 points. He took a make-up test and got 12 out of 15 points. The percent of increase in Jack's score is about ___
A 3.596%
B 4.696%
C 5.996%
D 6.7%
Answer:
4.696% (B)
Step-by-step explanation:
13/17 = 0.76470588
12/15 = 0.8
0.8 - 0.76470588 = 0.03529412
0.03529412 / 0.76470588 = 0.04615285
0.04615285 · 100 = 4.61538494
(I rounded 13/17, the closest answer is 4.696)
percentage increase:
final value - starting value / starting value · 100
If both zeroes of quadratic polynomial (k+2)x^2-(k-2)x-5 are equal in magnitude but opposite in sign find k
Answer:
k=2
Step-by-step explanation:
[tex](k + 2) {}^{2} - (k - 2)x - 5 = 0[/tex]
If we have two zeroes that are equal in size, but different signs then we have a different of squares,
[tex](a + b)(a - b) = {a}^{2} - b {}^{2} [/tex]
So in order to do this we must make the middle term, x 0 so
[tex]k - 2 = 0[/tex]
[tex]k = 2[/tex]
solve pls brainliest
Answer:
5/6
Step-by-step explanation:
11/12 - 1/12 = 10/12
10 divided by 2 = 5
12 divided by 2 = 6
5/6
Answer:
⅚
Step-by-step explanation:
¹¹/12 - ¹/12 = ¹⁰/12
÷2 →
5/6
45 minutes before 10:35
Answer:
9:50
Step-by-step explanation:
Answer:
9:50
Step-by-step explanation:
Heres de answer
Please help me on this
Answer:
[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]
[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]
What is the solution to the equation?
4x + 6 = 18
A. x= -6
B. x= 3
o
C. x = 6
C
D. X=
MIN
4x + 6 = 18
-6 is solution ?
4 * (-6) + 6 = 18 ?
-24 + 6 = - 18
so not the solution
3 is solution ?
4 * 3 + 6 = 18 ?
4 * 3 + 6 = 12 + 6 = 18
YES
Answer:
B. [tex]\displaystyle x = 3[/tex]
Step-by-step explanation:
[tex]\displaystyle 18 = 6 + 4x \hookrightarrow \frac{12}{4} = \frac{4x}{4} \\ \\ \boxed{3 = x}[/tex]
I am joyous to assist you at any time.
helppppp
helpppppp helppp
Answer:
intersect at (-1,-3)
Step-by-step explanation:
y = 4x + 1. the points should be at (0,1) and (-0.25,0) and is an infinite line in both directions.
y = -2x - 5. the points should be at (-2.5,0) and (0,-5) and is an infinite line in both directions.
both the lines meet at (-1,-3) so make a point at that location
What is the factorization of the following trinomial? 15x2 - 44x - 36
(3 x - 4) (5 x + 9)
(5 x - 9)(3 x +4)
(5 x -18) (3 x + 2)
(5 x + 18 ) (3 x - 2 )
Jacob and his father measured the lengths of scrap wood in their yard. Make a line plot of their data.
The line plot is used to show the lengths of the scrap woods using check marks above the line
How to draw the line plotFrom the question, we have the following frequency table
Lengths Frequency
[tex]4\frac 18[/tex] 2
[tex]4\frac 14[/tex] 3
[tex]4\frac 38[/tex] 1
[tex]4\frac 12[/tex] 6
[tex]4\frac 58\\[/tex] 1
[tex]4\frac 34[/tex] 2
[tex]4\frac 78[/tex] 2
[tex]5[/tex] 1
Next, we plot the number line.
Such that the lengths of the scrap woods are on the x-axis while their frequencies are on the y-axis
See attachment for the line plot
Read more about line plots at:
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Answer:
Step-by-step explanation:
The pH of lemon juice at 298 K is found to be 2. 32. What is the concentration of mc014-1. Jpg ions in the solution? Use StartBracket upper H subscript 3 upper O superscript plus EndBracket equals 10 superscript negative p H. 1. 05 times 10 to the negative 3 moles per liter. 4. 79 times 10 to the negative 3 moles per liter. 2. 09 times 10 squared moles per liter. 9. 55 times 10 squared moles per liter.
The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.
What is pH value?The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.
The pH value can be calculated with the following formula.
[tex]\rm pH=log[H^{+}][/tex]
Here, [H⁺] is the molar hydrogen ion concentration.
The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,
[tex]\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M[/tex]
Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.
Learn more about the pH value here;
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Answer:
B ✔️
Step-by-step explanation:
Find the diameter of a circle with area 28.3 yd2
Answer:
6.002722642yd
Step-by-step explanation:
Area to Radius:
Area of a circle = (pi)r(squared)
28.3= pi x r2
28.3/pi = r2
9.0081...=r2
square root of 9.0081...= radius
radius= 3.001361321yd*
Radius to Diameter:
diameter = radius x 2
d = 3.001361321* x 2
d = 6.002722642yd*
*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!
Hope this helped :)