Answer:
(13, -67.4°)
Step-by-step explanation:
In the general case, for a point (x, y), the same point written in polar coordinates is (r, θ), such that:
r = √(x^2 + y^2)
θ = Atg(y/x)
Then if we have the point with coordinates (-5, 12)
The polar coordinates will be:
r = √((-5)^2 + 12^2) = 13
θ = Atg(12/-5) = -67.4°
Then the polar coordinates are:
(13, -67.4°)
Hallar la altura(h) de un triángulo que tiene una base 12 metros y un área de 96
metros cuadrados. Opción única.
(2 puntos)
16
11
15
Answer:
Height of triangle = 16 meter
Step-by-step explanation:
Given:
Area of given triangle = 96 squares meter
Base length of triangle = 12 meter
Find:
Height of triangle
Computation:
Area of triangle = (1/2)(b)(h)
Area of given triangle = (1/2)(Base length of triangle)(Height of triangle)
96 = (1/2)(12)(Height of triangle)
96 = (6)(Height of triangle)
Height of triangle = 96 / 6
Height of triangle = 16 meter
How many three digit numbers can you get by arranging the numbers 5, 6,
7, 8, 3, 4, 5, 6, 7, 8, 9?
Answer:
84 numbers
Step-by-step explanation:
Numbers starting with 12 – 7 numbers
Numbers starting with 13 – 6 numbers;
14 – 5, 15 – 4, 16 – 3, 17 – 2, 18 – 1.
Thus total number of
numbers starting from 1 is given by the sum of 1 to 7 = 28.
Number of numbers starting from 2- would be given by the sum of 1 to 6 = 21
Number of numbers starting from 3- sum of 1 to 5 = 15
Number of numbers starting from 4 – sum of 1 to 4 = 10
Number of numbers starting from 5 – sum of 1 to 3 = 6
Number of numbers starting from 6 = 1 + 2 = 3
Number of numbers starting from 7 = 1
Thus a total of: 28 + 21 + 15 + 10 + 6 + 3 + 1 = 84 such numbers.
If I went to the store and purchased a
T-shirt for $10 and jeans for $25, what
was my total expense at the store? Explain
how you got your total.
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that sixteen adults in the United States are selected randomly. What is the probability that three or less of the selected adults have saved nothing for retirement
Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that [tex]p = 0.2[/tex]
Suppose that sixteen adults in the United States are selected randomly.
This means that [tex]n = 16[/tex]
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]
[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]
[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]
[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Stacy owes 13.65 for text messging in the month of September if her text messaging plan cost 12 for the first 300 messages and 5c for each text message how many text messages did she send that month
Answer:
need points
Step-by-step explanation:
20 POINTS PLS HALP!!!
Greenland is the least densely populated country in the world, with a population of 57,714 and
an area
of 836,109 square miles. To the nearest hundredth, what is the population density of
Greenland in people per square mile?
Answer:
number of people / land area = population density
57,714 / 836,109 ≈ 0.07 people/[tex]mi^2[/tex]
Answer:
.07 people per square mile
Step-by-step explanation:
We can just divide the people by area
57714/836109=.06902688525 or about .07 people per square mile
I think you got confused about the division and what to divide by what
Look over here we divide the PEOPLE by the AREA so we get the amount of PEOPLE per square mile
If we did it the opposite way we get THE AREA that EACH PERSON HAS
Which of the following equations has a solution of x = -5?
Answer:
B
Step-by-step explanation:
16(-5) - 7 = 11(-5) - 32
-80 - 7 = -55 - 32
-87 = -87
-4(-5) - 10 = 2(-5) + 20
-30 ≠ 10
Answer:
c. Both A and B
Step-by-step explanation:
Let's solve the equations to find out.
Equation A
16x - 7 = 11x - 32
5x - 7 = -32
5x = -25
x = -5
So, Equation A has a solution of x = -5.
Equation B
-4x - 10 = 2x + 20
-6x - 10 = 20
-6x = 30
x = -5
And so does Equation B.
The amount of interest accrued on
a $7,000 loan with 6% interest after t years.
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Solve
FIND THE SIMPLE INTEREST WHEN PRINCIPAL= $300, rate = 8%
Time= 4 years
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
X
X
X
X
Answer:
408.14
Step-by-step explanation:
The equation would be 300(1.08)^4, this is because when finding interest you use the formula principal(1+%)^time
Answer please which number line shows 1/3 and it’s opposite
Answer:
D
Step-by-step explanation:
the first of three parts is what 1/3 is
I need answer for this question
Answer:
The answer should be D) 4x^ + x + 3
Select the values that make the inequality -n< −4 true. Then write an equalivalent inequality, in terms of nn. (Numbers written in order from least to greatest going across.)
values: -9 -5 -4.1 -4 -3.9 -3 -1 0 1 3 3.9 4 4.1 5 and 9
Answer:
values that make the inequality true would be any absolute number that is bigger than 4
so that would be n>5
Step-by-step explanation:
What is the volume of the figure? Enter the answer in the box
Answer:
896
Step-by-step explanation:
Answer:
(10 × 4 × 18) + ( 9 × 10 × 9 ) = 1530
to find the sum of all the odd integers from to 49 inclurive
Answer:
625 is the sum of first 49 odd numbers.
Step-by-step explanation:
Add the all odd numbers between 1 - 49.
1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625
Hope it is helpful....What’s 1000-7...? >:T
Answer:
9993
Step-by-step explanation:
literaly u just have to do this:
1000
- 7
--------
9993
Find the value of x. help please if you understand
Use the theorem in Sec. 28 to show that if f (z) is analytic and not constant throughout a domain D, then it cannot be constant throughout any neighborhood lying in D. Suggestion: Suppose that f(z) does have a constant value ωo throughout some neighborhood in D.
Answer:
The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.
Step-by-step explanation:
Given
For any given function f(z), it is analytic and not constant throughout a domain D
To Prove
The function f(z) is non-constant constant in the neighbourhood lying in D.
Proof
1-Assume that the value of f(z) is analytic and has a constant throughout some neighbourhood in D which is ω₀
2-Now consider another function F₁(z) where
F₁(z)=f(z)-ω₀
3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.
4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.
5-Replacing value of F₁(z) in the above gives:
F₁(z)≡0 in domain D
f(z)-ω₀≡0 in domain D
f(z)≡0+ω₀ in domain D
f(z)≡ω₀ in domain D
So this indicates that the value of f(z) for all values in domain D is a constant ω₀.
This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.
How did waterways provide Detroit with such a vital military position?
Answer:
Your source water comes from the Detroit River, situated within the Lake St. Clair, Clinton River, Detroit River, Rouge River and Ecorse River watersheds in the U.S., and parts of the Thames River, Little River, Turkey Creek and Sydenham watersheds in Canada.
Step-by-step explanation:
please mark this answer as brainliest
Raul tossed a coin and spin a spinner with three equal sections. Based upon the results, what is the probability of tossing a tail and spinning a 2?
F. 1/10
G. 1/9
H. 1/8
J. 3/20
The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For this case, the table is missing, the results recorded were:
Toss Spin Frequency
Head 1 2
Head 2 6
Head 3 7
Tail 1 7
Tail 2 5
Tail 3 13
That means total number of times experiment was done was: 2+6+7+7+5+13=40
Let we take E = event of tossing a tail and spinning a 2
Thus, from the table, we see that E occurred 5 times.
Thus, based on this, the experimental probability of occurrence of E is:
[tex]P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}[/tex] (option H)
Learn more about probability here:
brainly.com/question/1210781
The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c . The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc?
Answer:
I don't recognize this problem, please make sure the input is complete.
Step-by-step explanation:
sry
Simplify the expression:
r+r+r+r+r+h
Answer:
r^4+h
Step-by-step explanation:
What is the slope of the line given by the equation y=-3X?
Answer:
The slope is -3
Step-by-step explanation:
y=mx+b
m=slope
m=-3
slope=-3
hope this helps!
Referring to the figure, find the volume of the solid shown. Round to the nearest whole number. Will mark brainliest...
Answer:
648
Step-by-step explanation:
FInd volume of bottom half (9x6x12)
find voume of pyramid 1/3Bh 1/3(11)(54)
5. In order to figure out who will go first in a game, your friend asks you to
pick a number between 1 and 25.
a. What are the possible outcomes?
b. What are the favorable outcomes of choosing an even number?
c. What are the favorable outcomes of choosing a
number less than 20?
Answer:
a. - Any number 1-25
b. - 12/25
c. - 20/25
In order to move in to a rental house, Sky and Max must pay a deposit of $1,500. At the end of one year, Sky and Max have spent a total of $11,280 on their rental costs. How much did they pay for their monthly rent payment? a. $750 b. $815 c. $940 d. $1,065 Please select the best answer from the choices provided A B C D
Answer:
It would be B. 815.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
On edge
Help me please this is due today and I’m stuck on this question
Answer:
[tex]b = 90[/tex]
[tex]c=80[/tex]
[tex]d =100[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find b, c and d
First, we solve for b using:
[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram
Collect like terms
[tex]b + b =180+10-10[/tex]
[tex]2b = 180[/tex]
Solve for b
[tex]b = 180/2[/tex]
[tex]b = 90[/tex]
Then, we have:
[tex]d =b + 10[/tex]
[tex]c = b - 10[/tex] --- opposite angles
So, we have:
[tex]d =90 + 10[/tex]
[tex]d =100[/tex]
[tex]c = 90 - 10[/tex]
[tex]c=80[/tex]
PLEASE HELP
will mark brainliest
These figures are congruent. What series of transformations moves
quadrilateral FGHI onto quadrilateral F'G'HT?
Note: Rotations are clockwise. Reflections are over the x-or y-axis.
A. Reflection, reflection
B. Rotation, translation
C. Translation, reflection
D. Reflection, rotation
Answer:
wait nvm I did the wrong answer lemme re check
Ok sorry I reviewed it and i think its D i looked to fast and got confused sorry
Answer:
Its C Translation,reflection
Step-by-step explanation:
I took the test and this was the right answer!!
Find the slope of the line that passes through
(8,3) and (3, 4)?
select all the values of x so g(x) is not a function.
HELP! what is the unit rate???
Answer: The unit rate of the bananas is 0.33$
Step-by-step explanation:
1.98/6 = 0.33$ . 0.33 x 6 = 1.98$
