Answer:
Center: (9, 4)
Radius: 20
Explanation:
(x - 9)² + (y - 4)² = 400
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) is center points, r is radius
Rewrite the equation:
(x - 9)² + (y - 4)² = 20²
Identify following:
h = 9, k = 4, radius = 20
PLEASE I NEED THIS
determine the value of θ to the nearest degree
csc θ = 1.2711
the answer in my textbook is 52 degrees, but i've no idea how they got that.
p.s i need this asap - will give brainliest!!! thank u!!
Answer:
See below
Step-by-step explanation:
[tex]\csc\theta=1.2711\\\\\frac{1}{\csc\theta}=\frac{1}{1.2711}\\ \\\sin\theta=\frac{1}{1.2711}\\ \\\theta=\sin^{-1}(\frac{1}{1.2711})\\\\\theta\approx51.88^\circ\approx52^\circ[/tex]
Remember the identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so [tex]\sin\theta=\frac{1}{\csc\theta}[/tex] and it makes the problem easier. Just remember to take the inverse sine (let me know if you are not sure what that means).
The value of the θ in csc θ = 1.2711 is 51.88°.
What is trigonometric ratio?A trigonometric ratio is a ratio of the length of sides of a right-angle triangle. It relates the ratio of sides to the respective angle. The most common trigonometric ratios are sine, cosine, and tangent.
Given csc θ = 1.2711, we need to find the value of θ,
So, csc θ = 1.2711
θ = csc⁻¹(1.2711)
θ = 51.88°
Hence, the value of the θ in csc θ = 1.2711 is 51.88°.
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if(x) = a^x passes through the point (2, 1/16) the base a is
Answer:
1/4
Step-by-step explanation:
y = a^x
1/16 = a^2
so the answer is 1/4
There are two numbers and one is 7 more than twice the other. the sum of the numbers is 43. What are the numbers
By solving a little system of equations we will see that the two numbers are 12 and 31.
How to find the numbers?
Let's define the two numbers as a and b.
We know that one of the numbers is 7 more than twice the other, so we have:
a = 2b + 7
We also know that the sum of the two numbers is 43, so we get:
a + b = 43
Replacing the first equation into the second one we get:
2b + 7 + b = 43
3b = 43 - 7 = 36
b = 36/3 = 12
Now that we know b, we can find a:
a = 2*12 + 7 = 31
So the numbers are 12 and 31.
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SOMEONE PLEASE HELP WILL MARK BRAINLIEST
Answer:
75.96°
Step-by-step explanation:
[tex] \angle A = \tan^{-1}\bigg(\frac{8}{2}\bigg)[/tex][tex] \angle A = \tan^{-1}(4)[/tex][tex] \angle A =75.963756532\degree[/tex][tex] \angle A \approx 75.96\degree[/tex]The second angle of a triangle is 4 less than the first angle. The third angle is two times the first. Find the three angles.
The measure of the three angles are 46, 42 and 92 degrees respectively
Sum of angles in a triangleA triangle is a shape that has 3sides and angles
Let the measure of the angles be x, y and z
If the second angle of a triangle is 4 less than the first angle, then;
y = x - 4
If the third angle is two times the first, then z = 2x
Since the sum of interior angle is 180 degrees, hence;
x + y + z = 180
x +x - 4 + 2x = 180
4x = 184
x = 46
Second angle = x - 4
Second angle = 42 degrees
Third angle = 2(46) = 92 degrees
Hence the measure of the three angles are 46, 42 and 92 degrees respectively
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Please help me please please
Answer:
[tex]x \leqslant 4[/tex]
Goodluck
Step-by-step explanation:
X is smaller than or equal to 4
Please answer asap! show work!
11. What is (f.g)(x)?
f(x) = x3 +3
g(x) = 2x2 + x - 1
Answer:
2x⁵ + x⁴ - x³ + 6x² + 3x - 3
Step-by-step explanation:
Given :
f(x) = x³ + 3g(x) = 2x² + x - 1Finding (f × g)(x) :
f(x) × g(x)(x³ + 3)(2x² + x - 1)2x⁵ + 6x² + x⁴ + 3x - x³ - 32x⁵ + x⁴ - x³ + 6x² + 3x - 3Whats the area of a circular lamp base that is 20cm in diameter?
Answer:
314.16cm²
Step-by-step explanation:
please mark me as brainliest.hope this helps
Lily helped Mr Cruz cross the road earlier today. After a short introduction of themselves, Lily found out that she is 50 years younger than Mr Cruz. Given that Mr Cruz will be 6 times as old as Lily in 4 years, how old is Mr Cruz now?
Answer:
56 years old
Step-by-step explanation:
50 / ( 6 - 1 ) = 10 = Lily's age 4 years later
10 - 4 = 6 = Lily's age now
6 + 50 = 56
Select the correct answer. A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day. Which function describes the difference of the number of components assembled per day by the experienced and new employees? A. B. C. D.
The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Function N represents the number of components that a new employee can assemble per day.
N(t)=(50t)/(t+4)
Function E represents the number of components that an experienced employee can assemble per day.
E(t)=(70t)/(t+3)
In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,
[tex]D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}\\[/tex]
Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].
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Answer:
D(t)= 10t(2t+13)/ (t+4)(t+3)
Step-by-step explanation:
Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….
A)
Add 16 to 32.
B)
Add 32 to 52.
C)
Multiply 52 by 5.
D)
Multiply 52 by 9.
Answer:
B
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
20 - 4 = 36 - 20 = 52 - 36 = 16
thus to obtain the next term in the sequence add 16 to the previous term
To obtain 2 terms distant then add 16 + 16 = 32
so 6th term = 52 + 32 = 84
Which of these is an exponential parent function?
Dan's car depreciates at a rate of 9% per year.
By what percentage has Dan's car depreciated after 4 years?
Give your answer to the nearest percent.
Answer:
about 31%
Step-by-step explanation:
[tex]1 - {.91}^{4} = 1 - .6857 = .3143 = 31\%[/tex]
Find the critical value tα/2 that corresponds to a 90% confidence level and a sample size of 7.
a) 1.943
b) 1.645
c) 3.707
d) 1.895
A
Step-by-step explanation:
hope it helps
Maddi has a bin shaped like a right prism. She knows that the area of the base of the bin is 14 in² and the volume of the bin is 392 in³.
What is the height of Maddi's bin?
28 in.
33 in.
38 in.
43 in.
Answer:
The answer is 28 in
Step-by-step explanation:
I divided 392/14=28
hopefully it helps.
please mark brainliest.
Answer:
it is 28
Step-by-step explanation:
i took the exam
Please help with the problems
Answer:
3) B. 160
4) D. 72
5) C. 16
Step-by-step explanation:
3) 240 - 80 = 160
4) 12 = w/6
w = 6*12
w = 72
5) 44-28 = 16
In one particular suburb, there are 13 families that own a terrier. If there are a total of 20 families that own a dog in general, then what percentage of dog owners have a terrier?
153% have terriers
65% have terriers
7% have terriers
None of these answers are correct.
33% have terriers
Answer:
from what i got it is 65% have terriers
Step-by-step explanation:
13 / 20 = 0.65 meaning there is 65%
Hope This Helped
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 1
Step-by-step explanation:
[tex]\sf Sin \ 37^\circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]
[tex]\sf 0.6 = \dfrac{0.6}{x}\\\\Cross \ multiply,\\\\ 0.6*x = 0.6\\\\x = \dfrac{0.6}{0.6}\\\\x = 1[/tex]
In parallelogram JKLM if m/JKL-150° find m/LMJ.
Answer:
150 degrees
Step-by-step explanation:
This is because the opposite angles in this parallelogram are equal.
(Multiple choice question) As a town geta mater, the population of its high school decreases by 123. each year. The student body has 125 students now. In how many years will have about 75 students? Use the
equation 75 - 125/088)" to solve the problem Round to the nearest year
2 years
4 years
1 year
3 years
Answer:
4 years !
Step-by-step explanation:
write 28% as a fraction
Answer:
28% as a fraction can be written in many ways. The most simplest way to convert a percentage to a fraction would just to put it over 100. For example, 50% would be 50/100 therefore 28% would be 28/100.
However, we can simplify that fraction even more by doing (28/4)/(100/4) which would give us 7/25.
Hope this helps!
how to diagonalize matrix using eigen values and eigen vectors
Every day, Jason runs for 35 minutes and lifts weights for 49 minutes. How many minutes will Jason spend working out in 8 days?
A. 280
B. 672
C. 92
D. 392
Answer:
B. 672
Step-by-step explanation:
First, Add. 35 + 49 = 84
Multiply. 84(minutes) x 8(days)
= 672
Bonus! ^^ 672 minutes = 11.2 hours
need help with this math
Answer:
h = 5 :)
Step-by-step explanation:
Nick has planted 20 flowers and can plant 7 flowers an hour, Rachel planted 5 flowers and can plant 10 flowers an hour.
f = 7h + 20
f = 10h + 5
f = 7(1) + 20 = 27
f = 10(1) + 5 = 15
(Not this one)
f = 7(2) + 20 = 34
f = 10(2) + 5 = 25
(nope..)
f = 7(3) + 20 = 41
f = 10(3) + 5 = 35
(nope!)
f = 7(4) + 20 = 48
f = 10(4) + 5 = 45
(close, but no)
f = 7(5) + 20 = 55
f = 10(5) + 5 = 55
(Yes!)
Avery had $25.19 in her wallet. If she bought lunch with 7 & dollars from her wallet, how much money did she have in her wallet
after lunch?
A. $18.09
B. $18.19
C. $16.94
D. $17.94
Answer:
B) $18.19
Step-by-step explanation:
Avery has $25.19 in her wallet, and she spends $7 on lunch. Subtract 7 from the original amount she had to get the new total:
25.19 - 7 = 18.19
B) $18.19 is your answer.
~
[tex] \red{ \sf \: option \: B. \$18.19}.. \: ... \: ...✔[/tex]
GivenAvery had $25.19 in her walletIf she bought lunch with 7 & dollars from her walletTo findhow much money did she have in her wallet after lunch?Solution
Subtract the original amount in her wallet by the amount she spent to find the remaining amount of money.
$25.19-$7.00 =$18.19Required Answer$18.19 money did she have in her wallet after lunchAssume that 48% of the voters in New York favor a certain legislative proposal. De- termine how many voters in New York need to be sampled so that the magnitude of the difference between the observed relative frequency of those favoring the proposal and the population frequency does not exceed 0.01 with probability 0.99.
The number of the voters in the Newyork need to be sampled will be P=19,782.
What is Probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
It is given in the question that:-
Voters percentage=48%
Margin of error=0.01
Z value at 0.99 = 2.58
By using the formula:-
[tex]\rm M=z\sqrt{\dfrac{\pi(1-\pi)}{n}[/tex]
By putting the values:-
[tex]0.01=2.58\sqrt{\dfrac{0.48(1-0.48)}{n}[/tex]
[tex]\sqrt{n}=\dfrac{1.40}{0.01}[/tex]
[tex]n=19784[/tex]
Hence the number of the voters in the Newyork need to be sampled will be P=19,782.
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Tyler simplified the expression x³y9. His procedure is shown below.
1
31/1
³y-9
What is Tyler's error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power
The power
should be in the numerator and the power y9 in the denominator.
should be in the numerator and the power x3 in the denominator.
Answer:
(b) both powers should be in the denominator with positive exponents
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
The correct simplification is ...
[tex]x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}[/tex]
Both variables should have positive exponents in the denominator.
Evaluate 6ab + 2c if a = 3, b = 10, and c = 7
Answer:
6 (3 ×10 ) + 2 (7)
6(30) + 14
180 + 14
= 194
Answer: 194
Step-by-step explanation:
Given:
6ab + 2c
a = 3, b = 10, c = 7
Solve:
1. Plug in what you know and solve for your answer
⇒ 6(3)(10) + 2(7)
⇒ 6(30) + 14
⇒ 180 + 14
⇒ 194
HELP PLEASE For the following right triangle, find the side length x.
Answer:
37
Step-by-step explanation:
use Pytago ( you can search it online )
How long will it take to triple a sum of money if it is invested at a rate of 6.25% compounded continuously? Round your answer to 2 decimal places.
Answer:
So the answer is approximately 18 years
Step-by-step explanation:
Your interest rate is 6.25%, or, 0.0625
A=P⋅(1+(r/n))^nt
Where:
P is the initial amount
r is annual rate of interest
t is number of years
A is the final amount of money
n is the number of times the interest is compounded per year
So
3P=P(1+0.0625)
3P=P (1.0625)^t
3=1.0625^t
Now we should use logarithmic functions.
ln(3)=t⋅ln(1.0625)
ln(3)ln(1.0625)=t
t=18.12 years
