Answer:
radius ≈ 10.77 cm
Step-by-step explanation:
The segment from the centre O to the chord is a perpendicular bisector.
Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )
The radius r is the hypotenuse.
Using Pythagoras' identity, then
r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
r = [tex]\sqrt{116}[/tex] ≈ 10.77 cm ( to 2 dec. places )
Answer:
Step-by-step explanation:
perpendicular from center always bisects the chord of circle.
1/2 of chord=1/2×8=4 cm
[tex]r=\sqrt{4^2+10^2} =\sqrt{16+100} =\sqrt{116} \approx 10.77 ~cm[/tex]
What number is 16% of 80?
Write and solve an equation to answer the question.
Answer:
The answer is 12
Step-by-step explanation:
Trust me, kay? Please mark Brainliest!!!!
Answer:
12.8
Step-by-step explanation:
16% of 80
[tex]\frac{16}{100}[/tex] × 80
[tex]\frac{16}{10}[/tex] × 8
[tex]\frac{16}{5}[/tex] × [tex]\frac{4}{1}[/tex]
16 × 4
5
12[tex]\frac{4}{5}[/tex] = 12.8
The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table. A 2-column table has 4 rows. The first column is labeled Eye Color with entries brown, green, blue, hazel. The second column is labeled Number of People with entries 20, 6, 17, 7. What is the probability that a person chosen at random from this group has brown or green eyes? StartFraction 3 Over 25 EndFraction StartFraction 7 Over 25 EndFraction StartFraction 13 Over 25 EndFraction StartFraction 17 Over 25 EndFraction
Answer:
[tex]P(Brown\ or\ Green) = \frac{13}{25}[/tex]
Step-by-step explanation:
Given
[tex]n(Brown) = 20[/tex]
[tex]n(Green) = 6[/tex]
[tex]n(Blue) = 17[/tex]
[tex]n(Hazel) = 7[/tex]
Required
Determine the probability of Brown or Green eyes
First, the total number of respondents have to be calculated;
[tex]Total = 20 + 6 + 7 + 17[/tex]
[tex]Total = 50[/tex]
The events described above is a mutually exclusive event and as such, the required probability will be calculated by;
[tex]P(Brown\ or\ Green) = P(Brown) + P(Green)[/tex]
Calculating P(Brown)
[tex]P(Brown) = \frac{n(Brown)}{Total}[/tex]
Substitute 20 for n(Brown) and 50 for Total
[tex]P(Brown) = \frac{20}{50}[/tex]
Calculating P(Green)
[tex]P(Green) = \frac{n(Green)}{Total}[/tex]
Substitute 6 for n(Green) and 50 for Total
[tex]P(Green) = \frac{6}{50}[/tex]
So;
[tex]P(Brown\ or\ Green) = P(Brown) + P(Green)[/tex]
[tex]P(Brown\ or\ Green) = \frac{20}{50} + \frac{6}{20}[/tex]
Take LCM
[tex]P(Brown\ or\ Green) = \frac{20+6}{50}[/tex]
[tex]P(Brown\ or\ Green) = \frac{26}{50}[/tex]
Divide the numerator and denominator by 2
[tex]P(Brown\ or\ Green) = \frac{13}{25}[/tex]
Answer:
13/25
Step-by-step explanation:
Total number of people = 50
Probability of choosing a person with brown eyes [P(A)] = 20/50
Probability of choosing a person with green eyes [P(B)] = 6/50
Using the addition rule of mutual exclusive events (since they have specified brown OR blue, we use this formula):
P(A U B) = P(A) + P(B)
=> P(A U B) = 20/50 + 6/50 = 26/50 = 13/25
Therefore the probability of a person choosing a group that has brown or green eyes = 13/25
Also I got it right on edge haha, if you're still worried!!!!!!!!
Hope this helps :))))))))))))))
What is answer for 26/25 × -16/63 Step by step no explanation I will make you as brainlist Please find out Thanks
Answer:
[tex] - \frac{416}{1575} [/tex]Step-by-step explanation:
[tex] \frac{26}{25} \times ( - \frac{16}{63} )[/tex]
Multiplying a positive and a negative equals a negative[tex]( + ) \times ( - ) = ( - )[/tex]
[tex] = - \frac{26}{25} \times \frac{16}{63} [/tex]
Multiply the fractions:
[tex] = - \frac{416}{1575} [/tex]
Hope this helps..
Best regards!!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.
solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine
to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20
Sally wants to save for a new cell phone. She opens a bank account with $60 and adds $10 each week. Which of the following equations can be used to determine how much she has after ‘w’ weeks? A : T = 70w B : T = 60 + 10 + w C : T = 60 + 10w D : T = 10 + 60w
Answer: C
Step-by-step explanation:
"w" represents the number of weeks. If she adds $10 per week, the equation will include 10w. Because she starts out with $60 already, the complete equation would be:
[tex]T=60+10w[/tex].
Hope this helps!
The equation that describes the amount she has after 'w' weeks is
C : T = 60 + 10w.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, Sally wants to save for a new cell phone. She opens a bank account with $60 and adds $10 each week.
Assuming the total amount to be 'T' and no. of weeks to be 'w'.
∴ The equation that represents the amount of money she has is,
T = 60 + 10w.
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Two different sizes of square metal duct are joined by a piece that is a frustum of a pyramid. Find the lateral surface area, if the small end is square with one side of length 17 in. and the larger square end is of length 19 in. on one side with a slant height of 2 in.
Answer:
288 in²
Step-by-step explanation:
The formula used to solve this question is :
Lateral Surface Area = s( P1 + P2)
Where s = slant height = 2 inches
P1 and P2 = Perimeter of the bases
Perimeter of base 1 = 4 × length of the end of the small square
4 × 17 inches = 68 inches
Perimeter of base 2 = 4 × length of the end of the large square
4 × 19 inches = 76 inches
Lateral Surface Area = 2 × (68 + 76)
= 2 × 144
= 288 in²
Rewrite the equation y= 4/5.x + 3 in general form Ax + By + C = O
Work Shown:
y = (4/5)x + 3
5y = 4x + 15 ... multiply all terms by 5 to clear out the fraction
0 = 4x + 15 - 5y ... subtract 5y from both sides
4x-5y+15 = 0 .... rearrange terms
The equation is in standard form Ax+By+C = 0 where A = 4, B = -5, C = 15.
Some books use Ax+By = C to represent standard form. It's effectively the same thing just with C on the other side.
if an article is sold with 20% discount,there will be a profit of 15%.If it is sold at 10% discount, there will be a profit of Rs.200.Calculate the market price of an article
Answer:
The market price of the article is Rs. 978.72
Step-by-step explanation:
Let x represents the market price.
Let y represents the selling price.
Let z represents the cost price.
if an article is sold with 20% discount then there will be a profit of 15%.
SP = CP+Profit =z+0.15z=1.15z
ATQ
[tex]0.80x = 1.15z\\0.80x- 1.15z = 0[/tex]
If it is sold at 10% discount then there will be a profit of Rs.200
ATQ
[tex]0.9x - z = 200[/tex]
Now we are supposed to find the market price of an article.
[tex]0.9x - z= 200[/tex]
Multiplying 1.15 both sides
[tex]0.9x \times 1.15 - 1.15z = 200 \times 1.15\\1.035x - 1.15z = 230[/tex]
We know that[tex]1.15z = 0.80x[/tex]
[tex]1.035x - 0.80z = 230\\0.235x = 230\\x = \frac{230}{0.235}\\x= Rs. 978.72[/tex]
Hence The market price of the article is Rs. 978.72
What is P(A|B)?
A and B are independent events.
P(A) = 0.50
P(B) = 0.20
What is P(A|B)? 
A.Not enough information
B.0.50 
C.0.10 
D.0.20
Answer:
50
Step-by-step explanation:
The value of P(A|B) = 0.50 which is correct option(B)
What is independent events?
Independent events is defined as an event that is not affected by other events.
A and B are independent events.
P(A) = 0.50
P(B) = 0.20
P(A|B) = P(A∩B)/P(B)
P(A|B) = P(A).P(B)/P(B)
P(A|B) = P(A)
Substitute the value of P(A) = 0.50,
P(A|B) = 0.50
Hence, the value of P(A|B) = 0.50
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Martin sent 3 emails on Wednesday 9 emails on Tuesday 27 emails on Friday 81 emails on Saturday 243 emails on Sunday. If the pattern continues how many emails will Martin sent on Monday...
Answer:
729 emails
Step-by-step explanation:
The pattern is to multiply by 3
3*3 = 9
9*3 = 27
27*3 = 81
81*3 = 243
If the pattern continues, Martin will sent on monday:
243*3 = 729
729 emails
Answer:
729
Step-by-step explanation:
Bianca has a piece of rope that is 22 feet long. She cuts the rope into 3 pieces of equal length. Explain how to determine the length, in feet , of each piece of rope. What is the length, in feet, of each piece of rope written as a mixed numbers? Explain how to use a multiplication equation to check your answer.
Answer:
Hey there!
To solve this problem, you want to divide 22 by 3, which is about 7.33 feet.
We can check this by seeing 7.33 times 3=22
Hope this helps :)
Solve the proportion 26/z = 13/22
Answer:
z = 44
Step-by-step explanation:
26/z = 13/22
Using cross products
26 * 22 = 13*z
Divide each side by 13
26/13 * 22 = 13z/13
2 *22 =z
44 =z
Answer:
Z=44
To solve this proportion, you have to isolate z. You have to do what you do on one side of the equal sign to the other as well.
y=-2x-21 determine the intercepts of the line (,) (,) ASAPPPP
Answer:
x intercept (10.5,0)
y intercept (0, -21)
Step-by-step explanation:
y=-2x-21
there are two intercept for a line
x intercept, the point of given equation of line which lies on x axis.
For x intercept corodinate of y is o
Thus, value x intercept is form (x,0)
putting these value in y=-2x-21, we find x intercept
0=-2x-21
2x = 21
x = 21/2 = 10.5
Thus, x intercept (10.5,0)
Y intercept, the point of given equation of line which lies on y axis.
For Y intercept coordinate of x is o
Thus, value y intercept is form (0,y)
putting these value in y=-2x-21, we find y intercept
y = -2*0 -21
y = -21
Thus, y intercept (0, -21)
What translation is made from f(x) = f(x) + 6?
Answer:
moves it up 6 units
Step-by-step explanation:
y = f(x) + C C > 0 moves it up
f(x) = f(x) + 6 moves it up 6 units
Answer:
Vertical shift, 6 up.
Step-by-step explanation:
The entire function f(x) has a value of six added to it. That means that regardless of where f(x) was plotted on the coordinate plane, after the translation f(x) + 6, every single point would increase its value by six. Since all points would increase their values by six, the entire function would shift 6 up.
Help me with this please. I typed it on my iPad
One standard size for the United States flag is 19 feet by 10 feet. On a flag of this size, the union (the blue rectangle in the top-left corner) is 7 5 8 feet by 5 3 8 feet. Astronauts on the Apollo missions had a flag on a shoulder patch, use the scale factor 1/60 and find the union dimensions for the patch
Answer: 0.127 feet by 0.090 feet
Step-by-step explanation:
Given that :
The USA's flag dimension = 19feet by 10feet
Union's (blue rectangle in the top left corner) dimension = 7 5/8 feet by 5 3/8 feet.
Union dimension for the shoulder patch of the USA flag used by astronauts for the Apollo mission has a scale factor of 1/60
Therefore, dimension of the union patch ;
1/60 * ( 7 5/8 feet by 5 3/8 feet)
1/60 * (61 / 8 feet by 43/8 feet)
61/480 feet by 43/480 feet
0.127 feet by 0.0895 feet
0.127 feet by 0.090 feet
An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 ft.
Answer:
The distance between the plane and the observer is 16,659.18ft
Step-by-step explanation:
Complete question:
(An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 ft, what is the distance between the observer and the plane)
Hello,
The question above requires us to find the distance between an observer and a plane. This is very much easy because we are given the angle at which the observer makes with the plane. To solve this question correctly, we need a pictorial representation of the situation.
See attached document for better illustration
In the diagram, we need to find x.
Since the observer and the plane makes a right angled triangle with the distance apart them, we can use SOHCAHTOA
In this case, we have to use Tangent
Tanθ = opposite/ adjacent
θ = 42°
Opposite = 15,000
Adjacent = x
Tan42 = 15000 / x
x = 15000 / tan42
x = 15000 / 0.90
x = 16,659.18ft
The horizontal distance between the observer and the plane is 16,659.18ft
Answer:
I am not too sure but I know it is not 10,035, or 16,648, nor 20,188 because I put that and it wasn’t right so the last option would be.
22,417
first correct answer gets best marks
Answer:
x ≤5
Step-by-step explanation:
Pointing to the left means less than or less than or equal to
x ≤5
Answer:
[tex]\boxed{x \leq 5}[/tex]
Step-by-step explanation:
[tex]\sf Arrow \ pointing \ to \ the \ left \ on \ a \ number \ line \ means \ that[/tex]
[tex]\sf \ the \ value \ is \ either \ less \ than \ or \ less \ than \ or \ equal \ to.[/tex]
[tex]\sf{Graph}[/tex] [tex]x\leq 5[/tex] [tex]\sf{on \ the \ number \ line.}[/tex]
HELPPP PLZZZZZZZZZZZZZ
If cosθ = x, then ± √(1+x)/2 = _____.
cosθ/2
sinθ/2
cos2θ
sin2θ
Answer:
cos(theta/2) = sqrt((1+x)/2)
Step-by-step explanation:
From the double angle formula
cos^2(t)-sin^2(t) = cos(2t) ...................(1)
cos^2(x)+sin^2(x) = cos(t-t) =1...............(2)
Add (1) and (2)
2cos^2(t) = 1+cos(2t)
cos^2(t) = (1+cos(2t))/2
cos(t) = sqrt((1+cos(2t))/2)
substitute t = theta/2
cos(theta/2) = sqrt((1+cos(theta))/2)
substitute cos(theta) = x
cos(theta/2) = sqrt((1+x)/2)
Water drips from a faucet at a rate of 41 drops/minute. Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1‑gallon bucket? Round your answer to the nearest whole number.
Answer:
366 minutes
Step-by-step explanation:
divide 15000 by 41
Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased
Answer:
[tex]\large \boxed{87.5 \, \%}[/tex]
Step-by-step explanation:
Let x = the original number of books
Then 0.375x = the total number of biographies
and 0.20 x = the original number of biographies
[tex]\text{Percent increase} = \dfrac{\text{ New number - Old number }}{\text{Old number }} \times 100\, \%\\\\= \dfrac{0.375x - 0.20x}{0.20x} \times 100\, \% = \dfrac{0.175x}{0.20x} \times 100\, \% = 0.875 \times 100\, \% = \mathbf{87.5 \, \%}\\\\\text{The number of biographies has increased by $\large \boxed{\mathbf{87.5 \, \%}}$}[/tex]
Which equation can be used to find the volume of this solid? A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches. V = 11 times 9 times 7 V = 11 + 9 + 7 V = StartFraction 7 + 9 over 2 EndFraction + 11 V = StartFraction 7 times 11 over 2 EndFraction times 9
Answer:
V=11*7*9=693
Step-by-step explanation:
V=Bh ( B is the base area ( base*height) , and h is the height of the prism)
find B=base*h
B=11*7=77 in²
V=B*h=77*9=693 in³
The volume of the triangular prism is 174.25 in³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the triangular base has a base of 11 inches and height of 7 inches.
The formula for finding the volume of a triangular prism is V = (base area x height) / 2.
In this case, the base area of the triangle can be calculated using the formula A = (1/2)bh, where b is the base length and h is the height.
In this case, b = 11 inches and h = 7 inches, so the base area is A = (1/2)(11)(7) = 38.5 inches squared.
Now that we have the base area, we can calculate the volume of the triangular prism: V = (38.5 inches² x 9 inches) / 2 = 174.25 in³.
Therefore, the volume of the triangular prism is 174.25 in³.
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need help A S A P NOWWWWW
Answer:
x = 73
Step-by-step explanation:
The measure of the sum of the arcs in a circle = 360°.
Sum the given arc measures and equate to 360, that is
95 + 52 + 67 + 2x = 360
214 + 2x = 360 ( subtract 214 from both sides )
2x = 146 ( divide both sides by 2 )
x = 73
HELP MEEEEEEE please
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Consider the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{T'V'}{TV}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
what is 35 - (0.35 x 100)
Answer:
0
Step-by-step explanation:
First let's solve for the value in the parentheses.
[tex]0.35 \cdot 100 = 35[/tex]
We know this is correct because if we multiply a value by 100, the decimal point is moved 2 places to the left.
35 - 35 = 0, so the value of this expression equals out to be 0.
Hope this helped!
Issac surveyed the employees at the law firm each employee was asked to record their highest level of education completed. Two hundred sixty six woolens completed the survey . How many of those people completed graduate school?
Complete Question :
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The
results are shown in the table below.
Highest Level of Education Completed
Education Level
Percentage
High School
5%
Community College
10%
Four-Year College
60%
Graduate School
25%
Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answer:
65 people
Step-by-step explanation:
Given the following :
Number of survey participants = 260
Percentage that completed graduate school = 25%
Number of participants who completed graduate school ;
Total Number of participants × percentage that completed graduate school
260 participants × 25%
260 × 0.25
= 65
Answer:
65 people
Step-by-step explanation:
I took the test and that was the correct answer
Find SP when CP=Rs.400 and proft%=4%
Answer:
[tex]\boxed{Selling\ Price = Rs.\ 424}[/tex]
Step-by-step explanation:
Cost Price = Rs. 400
Profit = 4 % of Cost Price
=> [tex]\frac{4}{100} * 600[/tex]
=> 4 * 6
=> Profit = Rs. 24
Now, Selling Price = Cost Price + Profit
Selling Price = 400+24
Selling Price = Rs. 424
Answer:
Selling price = ₹ 416
Step-by-step explanation:
Cost Price = ₹ 400
Profit% = 4 %
Profit = 4 % of cost price
= [tex]\frac{4}{100}*400\\\\[/tex]
= 4 * 4
= ₹ 16
Selling price = Cost price + profit
= 400 + 16
= ₹ 416
Between which of the following pairs of numbers, can a rational number be found? (answer can be more than one pair)
PAIR 1: (-10) and (-9)
PAIR 2: 5.91 and 5.92
PAIR 3: 2/3 and 4/5
.
Answer:
Between all these pairs of numbers,a rational number can be found in all the 3 pairs
Step-by-step explanation:
PAIR1: -10 and -9
Rational numbers are: -10.5,-10.6,-10.1,etc (there are way more)
PAIR2: 5.91 and 5.92
Rational numbers:- 5.915,5.916,etc(there are way more)
PAIR3:2/3 and 4/5
LCM= 15
2/3=10/15
4/5=12/15 between these two (10/15 & 12/15)
Rational numbers: 11/15, 11.5/15(because it's result would be a recurring/repeating decimal),etc
Rewrite y=x^2-8x+15 in vertex form. Then state whether the vertex is a maximum or a minimum and give it´s coordinates.
Answer:
[tex]\large \boxed{\sf \ \ y=(x-4)^2-1 \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]y = x^2-8x+15\\ \\\text{*** we need to complete the square ***} \\ \\y=(x-4)^2-4^2+15=(x-4)^2-16+15=(x-4)^2-1[/tex]
And then the vertex is (4, -1) and as a > 0 the vertex is a minimum.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you