Answers
Answer:
x = 3
Step-by-step explanation:
The Pythagorean theorem tells you the sum of squares of the legs is equal to the square of the hypotenuse. In this geometry, a radius from the circle center to point T is length x, and is one leg of the right triangle.
x^2 +4^2 = (x +2)^2
x^2 +16 = x^2 +4x +4 . . . . . expand
12 = 4x . . . . . . . . . . . . . subtract (x^2 +4)
3 = x . . . . . . . divide by 4
The radius of the circle is 3 cm.
Related Questions
Hay algo que, aunque te pertenezca, la gente siempre lo utiliza más que tú. ¿Qué es?
Answers
Answer:
Respuesta: tu nombre (Answer: your name)
Step-by-step explanation:
What does the random variable for a binomial experiment of n trials measure?.
Answers
Answer:
What does the random variable for a binomial experiment of n trials measure? The random variable measures the number of successes out of n trials. ... A binomial experiment requires that the probability of success be the same for each trial. In an experiment, there are n independent trials.
Step-by-step explanation:
i need help with this match
Answers
Answer:
1 d
2 b
3 g
4 a
5 e
6 f
7 c
8 h
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For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the apprentice. If together they were $213, how much did he esrn
Answers
Answer: (with explanation) (ANSWER AT THE BOTTOM)
et P = number of hours that the plumber worked.
let H = number of hours that the helper worked.
since the plumber worked 3 more hours than the helper, the equation for hours worked is
P = H + 3
-----
since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.
this equation is
(28*P) + (15*H) = 213 dollars
-----
both get the same answer.
-----
-----
substitute for P in the money equation since P is the same as H + 3.
equation becomes
(28*(H+3)) + (15*H) = 213
solve for H.
28*H + 28*3 + 15*H = 213
43*H + 84 = 213
43*H = 129
H = 3
-----
if H = 3, then P = 6 because P = H + 3.
-----
6*28 + 3*15 = 213 so your answer is
Plumber works 6 hoursHelper works 3 hours.now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.
let's do the Plumber first
28x6=168
now the helper
15x3=45
---------
now to check if that was the right answer, let's add them up...
168+45=213
so, our answer is right.
-----------------
The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.Answer:
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Step-by-step explanation:
I need help on this no rush either take as much time as you need and I asked my sister this but she said just ask on brainly
Answers
Answer:
45
Step-by-step explanation:
The equation for area of a triangle is:
[tex]A=\frac{1}{2}*b*h[/tex]
Using the figure, we can determine the base is 15 since it is perpendicular to the height.
We can plug 6 (height) and 15 (base) into the equation to solve for the area...
[tex]A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45[/tex]
At what point on the curve y = 9 + 2ex − 5x is the tangent line parallel to the line 5x − y = 8?
(x, y) = ?
Answers
Answer:
[tex](\ln(5), 19-5\ln(5))[/tex]
Step-by-step explanation:
The line can be represented as y=5x-8, so the slope of the line is 5.
The derivative of the curve is:
[tex]\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\[/tex]
We need to set that equal to 5 to find the x coordinate of our desired point
[tex]2e^x-5=5\\2e^x=10\\e^x=5\\x=\ln(5)[/tex]
Now, just plug in x in the curve to solve for y:
[tex]9+2e^{\ln(5) } -5\ln(5) = y\\9+10-5\ln(5)=y\\19-5\ln(5)=y[/tex]
Line 5x y = 8 has a slope of 5. This means that the tangent line that runs parallel to this line must also have a slope of 5.
To solve this equation
dy/dx = 2ex 5 is the derivative of the function y = 9 + 2ex 5x. Consequently, 2ex 5 is equal to the slope of the tangent line at any location.
When we set the slope of the tangent line to 5, we obtain:
2ex − 5 = 5
2ex = 10
e^x = 5
Taking the natural logarithm of both sides, we get:
ln(e^x) = ln(5)
x = ln(5)
Therefore, ln(5) is the x-coordinate of the crossing point.
We can enter this value of x into the original function to determine the y-coordinate:
y = 9 + 2e^(ln(5)) − 5(ln(5))
y = 9 + 10 − 5ln(5)
y = 15 − 5ln(5)
As a result, the intersection is at (ln(5), 15 5ln(5)).
To sum up, (ln(5), 15 5ln(5)) is the point on the curve y = 9 + 2ex 5x where the tangent line is parallel to the line 5x y = 8.
Learn more about tangent line here
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in the diagram below, the value of y must be
Answers
Answer:
y = 45°
Step-by-step explanation:
4 sides = 360°
(2y+1)° + y° + 112° + 112° = 360°
2y + y = 360 - 112 - 112 - 1
3y = 135
y = 135÷3
= 45°
Please help will give most Brainly
Answers
Solve for p: p/10 = 7.2/36
Answers
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answers
Answer:
m∠3 = 55°
Step-by-step explanation:
m∠1 = m∠4 (parallel lines with same angle)
m∠2 = m∠3 (parallel lines with same angle)
apply whole angle measure equals to 360°
11x -7 + 5x - 5 + 11x -7 + 5x - 5 = 360
32x -24° = 360°
32x = 384°
x = 12°
Therefore
m∠3 = 5x - 5
m∠3 = 5(12) - 5
m∠3 = 55°
[tex]\\ \tt\hookrightarrow 11x-7+5x-5=180[/tex]
[tex]\\ \tt\hookrightarrow 16x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 16x=192[/tex]
[tex]\\ \tt\hookrightarrow x=12[/tex]
<3=<2=5(12)-5=60-5=55°What is the Absolute Value of -15 and 16?
Answers
Answer:
AV of -15 is 15.
AV of 16 is 16.
Step-by-step explanation:
It turns the number positive.
in a all-area track meet 271 sprinters enter a 200-meter dash competition. the track has 7 lanes so only 7 sprinters can compete at a time. at the end of each race, the six non-winners are eliminated, and the winner will compete again in later race. How many races are needed to determine the champion sprinter?
Answers
The number of races needed to determine the champion sprinter = 39 races.
Calculation of number of racesThe number of sprinters = 271
The number of sprinters per race= 7
The area to be covered for each race = 200m
For every race covered, a champion is selected and the rest is eliminated.
Therefore, to determine the remaining champion from 271 sprinters,
271/ 7 = 38.7
Which is approximately 39 races.
Learn more about meter here:
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This is very urgent please help!
Answers
1/8; 0.2; 13/26; 3/5; 7/8; 1.09; 1.19; 1.5; 1.9
4(n+6)+3n is greater than or equal to 3n-4
Answers
Answer:
7n+24 is greater than that 3n-4
Step-by-step explanation:
First Distributive Property
4(n+6)+3n
Combine like terms
4n +24+3n
7n+ 24
Explanation
7n+24 is greater than that 3n-4
arrange 5/4 1/2 5/6 in ascending order
Answers
Answer:
Order is 1/2 < 5/6 < 5/4
Step-by-step explanation:
1/2 = 0.5
5/6 = 0.83
5/4 = 1.25
0.5 < 0.83 < 1.25
Just convert 'em to decimals....
½ = 0.5
⅚ = 0.83
5/4 = 1.25
# 1/2 < 5/6 < 5/4
As the height of the cylinder increases, its volume decreases.
Which is the independent variable?
height or volume
Answers
Answer:
height is independent
Step-by-step explanation:
as you change the height, the volume changes accordingly.
Write an equation of a line that is perpendicular to the line whose equation is
2y = 3x – 10 and passes through (–6, 1).
Answers
Answer:
point-slope form: [tex]y-1=\frac{-2}{3}(x+6)[/tex]
y-intercept form: [tex]y=\frac{-2}{3}x-3[/tex]
Step-by-step explanation:
hope this helps :)
Can someone help me with this please
Answers
Answer:
medium: 16large: 18Step-by-step explanation:
Using the variable definitions shown, the two given relations are ...
11 +x +y = 45 . . . . . . 45 total orders
x = y -2 . . . . . . . . . . 2 fewer medium orders than large
__
Using the second equation, we can substitute for x in the first equation to solve this system:
11 +(y -2) +y = 45
2y = 36 . . . . . . . . . . collect terms and subtract 9 from both sides
y = 18 . . . . . . . . . . . divide both sides by 2
x = 18 -2 = 16 . . . . use the second equation to find the value of x
16 people ordered medium, and 18 people ordered large coffees.
divide 20000 in the ratio in the 5:4:1
Answers
Answer:
5+4+1=10
20000/10=2000
5x2000:4x2000:1x2000
10000:8000:2000
Paid for $22 for for movie tickets how many would they have pay for for 16 tickets
Answers
Answer:
$352
Step-by-step explanation:
One ticket costs $22, so 16 tickets would be 22 times 16.
Final Answer: $352
Problem shown on the picture
Answers
Step-by-step explanation:
please answer those Questions Mathematics
There is a rectangle. The long side is 8.2cm the short side is 3.6cm. Find the area. (Include units)
Answers
Answer:
29.52cm sqauared
Step-by-step explanation:
length x width = area of rectangle
Answer: 29.52cm2
Step-by-step explanation:
8.2 times 3.6=...
(a) A retailer bought a compact disc form a manufacturer for $20. In addition to that he paid a 15% value-added tax. If he sold the disc to a custmer for $26, calculate the cash profit he made. (use this question for question below)
(b) The manufacturer later increased the price of the compact disc by 20%. At the same time, the value- added tax was increased to 25%.
( use for below question answer: $30) ^^^^
(i) If the retailer made the same cash profit as before,calculate the price a customer had to pay for a disc.
Answers
Answer:
$23
Step by step explanation
Please help I will give Brainliest.
Answers
Answer:
$21,600
Step-by-step explanation:
h(x) = 5000 · (1.08)^4
5000 · 4.32
h(x)= 21,600
Answer:
$6802.44
Step-by-step explanation:
We will replace x with 4.
h(4) = 5000 · (1.08)^4
Use a calculator from here if you don't want stress.
1.08 x 1.08 x 1.08 x 1.08 = 1.36048896
1.36048896 x 5000 = 6802.4448
Since we are looking at the cost, we will approximate to the nearest hundredth.
6802.4448 ≈ 6802.44
The cost is $6802.44.
I need a SIMPLE definition of the addition property of equality, subtraction property of equality, multiplication property of equality, and division property of equality.
Answers
Subtraction property of equality: tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
Your school is planning a banquet. The cost of renting a function is $180. The cost of food is $18 for each person. How many people attending the banquet if the total cost was $1,638? Write and solve an equation
Answers
18 x 81 is $1,458 and if you add the $180 it costs to rent the place it totals to $1,638
systems of equations by elimination
8x+14y=4
-6x-7y=-10
Answers
Answer:
x = 6/5
y = 2/5
Step-by-step explanation:
this is the answer i got please mark brainliest i really need it cuz i need 2 more
Amanda is buying her first car for $10,000. She is going to take out a loan from the bank that has an interest rate of 3.4% on the total cost. She will also need to pay tax on the car. How much will she owe in total?
Answers
please help I will give brainlyest
Answers
Answer:
See below.
Step-by-step explanation:
The answer is D. M and O are congruent, but that is not an option, so the focus goes towards M and N. M and N are similar, but are not congruent.
-hope it helps
Answer:
M and N are similar but not congruent.
Step-by-step explanation:
The figure shows a rhombus ABCD. The diagonal DB is produced to E such that BC = BE and CDE = 46°.
Find
(I) BAD
(ii) BCE
Answers
Answer:
(i) 88°
(ii) 23°
Step-by-step explanation:
See the picture below.
The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.
ABCD is a rhombus, so all sides are congruent.
Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.