Answer:
5.1 cm
Step-by-step explanation:
(Probable) Question;
Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP
The given parameters are;
The radius of the circle with enter at O, [tex]\overline{OQ}[/tex] = 2.4 cm
The length of the tangent from P to the circle at point Q, [tex]\overline{PQ}[/tex] = 4.5 cm
The length of OP = Required
By Pythagoras's theorem, we have;
[tex]\overline{OP}[/tex]² = [tex]\overline{OQ}[/tex]² + [tex]\overline{PQ}[/tex]²
∴ [tex]\overline{OP}[/tex]² = 2.4² + 4.5² = 26.01
[tex]\overline{OP}[/tex] = √26.01 = 5.1
The length of OP = 5.1 cm
1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters
Answer:
All registered voters in Cleveland and the maximum percentage increase in taxes
Find the missing side of triangle
Answer:
30.
Step-by-step explanation:
x^2 = 24^2 + 18^2
x^2 = 576 + 324 = 900
x = sqrt900 = 30.
What should the equations look like for each number? 17-20
Answer:
See below.
Step-by-step explanation:
17.)
[tex]x+100+120+100=360\\x+320=360\\x=40[/tex]
18.)
[tex]x+150+77+48=360\\x+275=360\\x=85[/tex]
19.)
[tex]x+122+92+76=360\\x+290=360\\x=70[/tex]
20.)
[tex]x+115+85+60=360\\x+260=360\\x=100[/tex]
Must show work! PLEASE DO THIS ASAP!
No links
Answer:
37.68
Step-by-step explanation:
The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68
[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]
r = 6 inchesπ = 3.14[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]
What describes the correct way to convert minutes to an hour
Answer:
Yo mean correct way??
yo can divide minute by 60 to convert minute into hour
For example
To convert 10 minute into hour. then we should divide 10 by 60. 10/60
Answer:
In any conversion you have to establish ratios (or rates) for the different units being converted.
The process will be performed by a series of multiplications that will cancel out the "unwanted" units.
multiplication by one (1) does not change the value in an equation.
you have to multiply by a "series of ones" that take into account the units being converted..
for example
1 minute/60 seconds or 1 inch = 2.54 cm or 1 day = 24 hours
in your problem you have minutes... lets say you have 100 minutes
100 minutes * 1 hour minutes cancel and you have 100/60 = 1 [tex]\frac{2}{3}[/tex] hrs
60 minutes
Step-by-step explanation:
Planes X and Yand points J, K, L, M, and N are shown.
Exactly how many planes contain points J, K, and N?
X
O 0
O 1
O 2
03
K
Υ
2
.M
.N
Answer:
0
Step-by-step explanation:
0
Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.
What is a plane?A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.
Given that, X and Y are planes.
In the given figure, point J lies outside the X and Y planes.
Points K and N are lies on plane X.
So, J, K and N are not lying in the same plane.
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
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If angle DCA measures 65 degrees, then angle ACB measures _____ degrees.
90
25
65
DCB form a right angle which is 90 degrees.
The two inside angles need to equal 90
ACB = 90-65 = 25
Answer: 25
Answer:
25
Step-by-step explanation:
its correct
Divide Rs.45000 among 2 students Mina and Rita in the ratio of marks they got 40 and 50 respectively
Let
Money share of Mina=40xMoney shae of Rita=50xATQ
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40x+50x=45000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 90x=45000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=\dfrac{45000}{90}[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=500[/tex]
Now
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Rita=50x=50(500)=25000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Mina=40x=40(500)=20000[/tex]
which letter has horizontal not vertical symmetry H, W, Y, E
I thing W,Y is righ am i right.
Help find the equivalent fraction with the correct steps please !
-2/5 x 6/-1 ÷ 5/-2
What’s the equivalent fraction ? Please help! Tysm (:
Answer:
: = ÷
[tex]\frac{-2}{5}*\frac{6}{-1} : \frac{5}{-2} = \frac{-12}{-5} : \frac{5}{-2} = \frac{12}{5}*\frac{-2}{5}=\frac{-24}{25}[/tex]
An equivalent fraction is -24 over 25.
mp rs 700 and sp rs 524 find discount step by step.
[tex]\boxed{\sf Discount=CP-SP}[/tex]
[tex]\\ \sf\longmapsto Discount=700-524[/tex]
[tex]\\ \sf\longmapsto Discount=176[/tex]
Answer:
cost price(cp)=rs.700
sold price(sp)=rs.524
discount =cp-sp
discount =700-524
discount =rs.176
Does this graph show a function? Explain how you know.
A. No; the graph fails the vertical line test.
• B. No; there are y-values that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
Answer:
C. Yes; the graph passes the vertical line test.
Step-by-step explanation:
Reasons the others are wrong:
A. It does pass the vertical line test.
B. Y-values can have any x values. It is x-values that can't have multiple y-values.
D. There are y-values with more than one x-value on this graph so that's just false. Even if it were true, that still doesn't invalidate it due to the reasons given in Answer B.
Find the length of the third side. If necessary, round to the nearest tenth.
12
13
Answer:
Submit Answer
attempt 1 out of 2
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PLS HELP ASAP
Answer:
5
Step-by-step explanation:
Use pythagorean theorem. A^2+B^2=C^2
13 is c because it is the hypotenuse and across from the right angle
a is unknown and b is 12
A^2+12^2=13^2
A^2 +144 = 169
A^2 = 169- 144
A^2= 25
now take the sq root of both side
A = 5
Answer:
17.7
Step-by-step explanation:
if a = 4 b = 5 find the value of a^2+ab^2+y^2
Answer:
121
Step-by-step explanation:
Given,
a = 4
b = 5
a² + ab² + b²
= 4² + 5 x 4² + 5²
= 16 + 80 + 25
= 121
A room is twice as long as it is broad and its height is 8 m. if the cost of painting its walls at Rs. 20 per m² is Rs 9600 , find the cost of carpeting its floor at Rs. 400 per m²
let breadth be X
length = 2x
height = 8m
rate of painting the four wall= 20/m^2
cost of painting=9600
Area of four wall= cost of painting / rate
= 9600/20
= 480m^2
again,
Area of four wall = 2 h(l+b)
or, 480=2×8(X+2x)
or, 480/16=3x
or, 30/3=X
or, X= 10m
again,
2x= 2×10m=20m
again,
Area of floor = length × breadth
= 20×10
=200m^2
again,
rate of carpeting the floor= 400/m^2
cost of carpeting the floor = rate × area
= 400× 200
= Rs. 80000
Evaluate the expression when x=-6.
x² + 5x-2
Answer:
Step-by-step explanation:
Hello!
x² + 5x-2
6² + 5*6 -2 =
36 +30 -2 =
66 -2=
64
Please anyoneeeeeeee.....i am almost done just please help me
Answer:
B. XV and XY
Step-by-step explanation:
you can eliminate the top two options because those aren't rays. XV and XY are the only ones that end in X
Dont give me wrong answers. please help though.
Answer:
24 in^3
Step-by-step explanation:
Volume of the figure= 3 * (Volume of a cube with side 2)
Volume of the figure= 3*2^3=24 in^3
Answer:
24 cubic inches
Step-by-step explanation:
The formula for finding volume is b*h*w.
b*h*w is base multiplied my height multiplied my width. Lets use this formula to find the volume of one of cubes.
Here is the information we know about the cubes:
the base is 2 inches
the height is 2 inches
the width is 2 inches
Lets put this information into the formula to find the volume of one of the cubes. I will show the work in steps so it is easy to follow.
Step one: plug the given information into the formula.
b*h*w = 2*2*2
Step two: Solve the equation.
2*2*2 = 4*2 = 8
Now we have the volume of one on the cubes. This is 8 cubic inches. However, to find the volume of all three of the cubes we must multiply 8 by 3.
Step three: multiply 8 by 3.
8*3 = 24
And there you have it! Our final answer is 24 cubic inches.
Here is a quick review of what we did to get our answer:
2*2*2 = 8
8*3 = 24
I hope this helps!
I need help ASAP!!! FIND THE SEGMENT Please explain how u got the answer
Answer:
x = 960
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of large triangle )² = ( part of hypotenuse below it) × ( whole hypotenuse), so
x² = 576 × (576 + 1024) = 576 × 1600 = 921600 ( take square root of both sides )
x = [tex]\sqrt{921600}[/tex] = 960
Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary
Answer:
345.6 mi^2
Step-by-step explanation:
S.A = 2πrh+2πr^2
= 2π(5)(6) + 2π(5)^2
= 345.6 mi^2
Answered by G a u t h m a t h
factorise 12x²+15xy.
Answer:
3x(4x+5y)
Step-by-step explanation:
to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x
12x²+15xy
3x(4x+5y)
I hope this helps
Help me with this pls IM FAILING PYTHAGOREAN THEOREM
Answer: 33
Work Shown:
Apply the pythagorean theorem to get
[tex]a^2 + b^2 = c^2\\\\x^2 + 44^2 = 55^2\\\\x^2 + 1936 = 3025\\\\x^2 = 3025 - 1936\\\\x^2 = 1089\\\\x = 33[/tex]
the prouduct of any two irrational number is
Answer:
mostly rational but sometimes irrational
Please help me to solve this question as soon as possible. Thank you
1.6 is a common factor of 36 and y. Find the possible value of y.
A. 25
B. 48
C.57
D. 81
Answer:
the answer is B
Step-by-step explanation:
because only 48 is dividable by 6
Fifthteen of student took a math test. Eight student scored 75, five scored 82 and two scored 95. What was the average of there score
Answer:
84
Step-by-step explanation:
To find the average of the data or the mean, add 75, 82, and 95 which is 252, then 252 divided by 3 = 84. Hopefully, this helps :)
Need answer asap algebra 2 math
Answer:
B
Step-by-step explanation:
f(x) = 2x^2 - 4x + 5 Put brackets around the first 2 terms.
f(x) = (2x^2 - 4x) + 5 Take out the common factor of 2
f(x) = 2(x^2 - 2x) + 5 1/2 the second term and square.
f(x) = 2(x^2 -2x + (2/2)^2) + 5 Express brackets as a perfect square.
f(x) = 2(x - 1)^2 + 5 Multiply 2 * 1 (the term without an x. Subtract.
f(x) = 2(x - 1)^2 + 5 - 2 Combine
f(x) = 2(x - 1)^2 + 3
Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
D. Exponential growth
Step-by-step explanation:
Hope this helps
Function that is similar to exponential.
Option (A) is correct.
What is exponential decay?Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y=a(1-b)^{x}[/tex] wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
We can observe that
First, y increases as x increases
Last it is a function that is similar to exponential.
Function is an exponential decay.
Option (A) is correct.
Find out more information about exponential decay here
https://brainly.com/question/14355665
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(t + 1)(t2 + 2t + 4)
find the product.
Answer:
5+5t
Step-by-step explanation:
The answer you are looking for is t^3+3t^2+6t+4.
Solution:
(t+1)(t^2+2t+4)
t^3+2t^2+4t+t^2+2t+4
t^3+3t^2+6t+4
The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x²+180x . The cost, in dollars of producing the televisions can be modeled by 3x² - 160x +300. The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?
We use the profit concept, and doing this, it is found that if 150 televisions are sold, the profit is $50,700.
-------------------------------------------
Profit is given by revenue subtracted by cost.
In this question:
Revenue: [tex]R(x) = 3x^2 + 180x[/tex]Cost: [tex]C(x) = 3x^2 - 160x + 300[/tex]Thus, the profit of selling x televisions is:
[tex]P(x) = R(x) - C(x)[/tex]
[tex]P(x) = 3x^2 + 180x - (3x^2 - 160x + 300)[/tex]
[tex]P(x) = 3x^2 + 180x - 3x^2 + 160x - 300[/tex]
[tex]P(x) = 340x - 300[/tex]
-------------------------------------------
For 150 televisions, we have P(150), so:
[tex]P(150) = 340(150) - 300 = 50700[/tex]
If 150 televisions are sold, the profit is $50,700.
A similar question is given at https://brainly.com/question/14469903
Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.
Answer:
ratio of Sophia's sweets to Isabel's sweets is
13:8
Answer:
you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be
42-16=26
therefore the ratio will be
16:26
8:13
I hope this helps
