Answers
Answer:
x = 10.55cm
Step-by-step explanation:
Sin 29 degrees = 7cm/x
X = 7cm / sin 29
= 10.55 cm
Answer:
x =14.4cm
Step-by-step explanation:
Sin x = opp/hyp
This is because we are given angle look into the triangle and see opp given =7 and need hypotenuse
Sin x = 7 / sin (29) = 14.4386574 cm = 14.4cm
This is because the opp is the 7 measure.
x = 14.4cm
We can prove the base is less through Pythagoras theorem
simply as c^2-b^2 = a^2
14.4386.....^2 -7^2 = c^2
sqrt 208.47 - sqrt 49 =c^2
c^2 = sqrt 159 = 7.43849023
therefore base = 7.44
To check angle 29 degrees for 3rd proof
cos (29) x 7/x= (x)
= 203 / x
check 203/29 = 7
Given a=7 and ∠α=29°,
b = 12.62833
c = 14.43866 proof
∠β = 61°
h = 6.12234
area = 44.19917
perimeter = 34.06699
inradius = 2.59484
circumradius = 7.2193
Related Questions
Is this sequence arithmetic? (Hint: determine if there is a common difference)
7, 18, 29, 40
A) yes
B) no
Answers
18-7=11
29-18=11 ……
Please mark brainelist
Z=8-i ^ w=12+3i, entonces ZxW, es:
a) 99-12i
b)93+12i
c)99+12i
d)93-12i
Necesito ayuda urgente!!
Answers
Answer:
21
Step-by-step explanation:
PLEASE HLEP ME IM CRYING J WIL GIVE BRAIBLIST
Answers
Answer:
Step-by-step explanation:
The two angles can be 48.75 which if you add all those together would be 180 degrees
Sorry if it might be wrong but if its right can you mark me branliest
Answer:
39° and 58.5°Step-by-step explanation:
The tree indicated angles form a straight angle:
2x + 3x + 82.5 = 1805x = 180 - 82.55x = 97.5x = 97.5/5x = 19.5The angle 2x:
2*19.5 = 39°The angle 3x:
3*19.5 = 58.5°I need help, please.
Answers
[tex]p = 2(l + w) = 2.(15 + 12) = 54 cm[/tex]
What are the domain and range of the function below?
A. Domain: (-∞,-5)
Range: (5,∞)
B. Domain = (-∞,∞)
Range: (-10,5)
C. Domain: (-5,10)
Range: (-10,5)
D. Domain: (-∞,∞)
Range: (-∞,∞)
Answers
Answer:
D
Step-by-step explanation:
the graphic does not indicate any limitation in any form in any direction.
compared to a default y = x function this function is just shifted a bit. but that does not block x or y from "running" all the way from -infinity to +infinity.
Suzy can type 85 words in 2 minutes. How many minutes will it take her to type her to type 500 word paper?
Answers
Answer:
11,765
Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes
UWUWUWUWIWUWUWUUWWUWUWUUWWUUWUWWUUWUWUWWUUWU2UWUWUWUWUWUWUWUWUWUUWUWUWU
Answers
Answer:
UWUWUWUUWUWUWUWUUWUWUW
Step-by-step explanation:
UwU OwO
Under his cell phone plan, Alonso pays a flat cost of $53.50 per month and $3 per gigabyte. He wants to keep his bill at $59.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Alonso can use while staying within his budget.
Answers
Answer:
Alonso can use 2.1 gigabytes while staying within his budget.
Step-by-step explanation:
53.50 + 3x = 59.80
3x = 59.80 - 53.50
3x = 6.3
x = 6.3 ÷ 3
x = 2.1
Alonso can use 2.1 gigabytes while staying within his budget.
write the simplest polynomial function with the given zeros 2 √2, √5 and -3
Answers
Answer:
A. P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120Step-by-step explanation:
With the given zero's, the polynomial is:
P(x) = (x - 2√2)(x - √5)(x + 3)Open parenthesis in steps:
1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10
2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =
x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =
x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10
This is not matching any options so we add two more zero's: -2√2 and -√5
New polynomial looks like:
P(x) = (x - 2√2) (x + 2√2)( x - √5)(x - √5)(x + 3)Open parenthesis in steps:
1. (x - 2√2) (x + 2√2) = x² - 82. (x - √5) (x + √5) = x² - 53. (x² - 8)(x² - 5) = x⁴ - 8x² - 5x² + 40 = x⁴ - 13x² + 404. (x⁴ - 13x² + 40)(x + 3) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120what is 3/5 x 7/9 equivalent to 3/5 divided by 7/9
Answers
Step-by-step explanation:
It's 27/35, so 27/1 * 1/35
Answer:
0.31 (correct me if I'm wrong)
Step-by-step explanation:
3/5*7/9=0.463/5 divided by 7/9=0.770.77-0.46=0.31ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.
What is the expected value of this policy to the insurance company?
Round your answer to two decimal places.
Answers
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
Learn more here:
https://brainly.com/question/19819099
can anyone help me pls asap
Answers
polygon
quadrilateral
triangle
rectangle
hexagon
hexagon
octagon
square or parallelogram
trapezoid
square
heptagon
decagon
gon, gon, the gons mason, what do the gons mean.
Help me, it's urgent
Answers
Answer:
a) 2.4 b) 2, -3
Step-by-step explanation:
sorry I only know a and b since yea
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answers
Answer:
17 units
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
14)
Tammy uses 6 inches of wire to make a necklace and 3 inches of wire to make a
bracelet. How many necklace and bracelet sets can she make if she uses 28 inches of
wire in all?
Answers
Answer:
3 sets
Step-by-step explanation:
6+3 = 9 inches of wire
28/9 = 3 1/9
so 9 can go into 28 three times
so tammy can make three sets of neclaces and bracelets
Please answer this question!!
Answers
of all the trees planted last year by a landscaping firm, only 1 in 10 trees died within a month. suppose a new landscaping firm is hired to plant 15 new trees. Let X denote the number of trees planted out of the 15 that died.
What is the lowest value of X that is consistent with the belief that the tree died due to mishandling?
Answers
The number of trees that died is an illustration of proportions.
The lowest value of X that is consistent with the belief that the tree died due to mishandling is 1.5
From the question, we have: 1 out of 10 died
This means that, the mean number of trees that died are:
[tex]\mathbf{\bar x =\frac{1}{10}}[/tex]
In 15 trees, the number (n) of trees expected to die is:
[tex]\mathbf{n = \bar x \times 15}[/tex]
So, we have:
[tex]\mathbf{n = \frac{1}{10} \times 15}[/tex]
[tex]\mathbf{n = 1.5}[/tex]
Hence, the lowest value of X is 1.5
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g An employee joined a company in 2017 with a starting salary of $50,000. Every year, the employee receives a raise of $1,000 plus 5% of the salary of the previous year. (a). Set up a recurrence relation for the salary of the emplyee n years after 2017. A recurrence relation of a sequence is an equation that express a subscript n using one or more of previous terms. (b). What will be the salary of the employee in 2025
Answers
Answer:
a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000
b) $83,421.88
c) s[n] = 70000·1.05^n -20000
Step-by-step explanation:
a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...
s[0] = 50000 . . . . the recursion relation initial condition
The next year, the salary is multiplied by 1.05 and 1000 is added:
s[1] = 1.05·s[0] +1000
This pattern repeats, so the recursion relation is ...
s[n] = 1.05·s[n-1] +1000
__
c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).
The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...
base salary after n years = 50,000·1.05^n
The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:
sum = a1(r^n -1)/(r -1) . . . . . (see note below)
sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)
So, the total salary after n years is ...
s[n] = 50000·1.05^n + 20000(1.05^n -1)
The exponential terms can be combined, so we have the explicit formula ...
s[n] = 70000·1.05^n -20000
__
b) The year 2025 is 8 years after 2017, so we want to find s[8].
s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000
= 103,421.88 -20000 = 83,421.88
In 2025, the employee's salary will be $83,421.88.
_____
Note on the sum of the add-ons
A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....
The sum of such a geometric sequence has the formula
Sn = a1·(r^n -1)/(r -1)
Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as
Sn = 20000·(1.05^n -1).
Find the least common denominator of the two fractions 3/4 over 1/6?
Answers
Answer:
(2/12 & 9/12)
Step-by-step explanation:
12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.
( not written by me )
Write three expressions that are equivalent to 8x + 16.
Answers
Answer:
1. 2(4x + 8)
2. 8(x +2)
3. 4(2x +4)
Step-by-step explanation:
You can check by using the distributive property!
For instance:
2 (4x +8)
2 · 4x = 8x
2 · 8 = 16
= 8x + 16
8(x +2)
8 · x = 8x
8 · 2 =16
= 8x + 16
4(2x +4)
4 · 2x = 8x
4 · 4 =16
= 8x + 16
Hope this is helpful! Let me know if you have any more questions :D
The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, days absent, current grade level, standardized test scores in reading and mathematics, and any disabilities or special educational needs the student may have.
Which of the following are categorical (or qualitative) variables in these records?
Current Grade Level
Mathematics Test Score
Disabilities or Special Needs
Reading Test Score
Days Absent
Age
Race or Ethnicity
Answers
Answer:
Disabilities or Special Needs, Race or Ethnicity
Step-by-step explanation:
these are categories, while the rest are numbers
According to the given data, the categorical (or qualitative) variables are Disabilities or Special Needs, Race or Ethnicity.
What is categorical (qualitative) variables?A qualitative variable is a categorical variable which is not numerical, it is based on quality that describes the characteristic of an individual.
What is Disability or Special Need?"In clinical diagnostic and functional development, special needs refers to individuals who require assistance for disabilities that may be medical, mental, or psychological."
What is Race?"The belief that some races of people are better than others; unfair ways of treating people of different races"
What is Ethnicity?"An ethnic group or an ethnicity is a grouping of people who identify with each other on the basis of shared attributes that distinguish them from other groups."
As we know each discussed variable Disability or Special Needs, Race, and Ethnicity describes the characteristics of an individual. Hence, Disabilities or Special Needs, Race or Ethnicity are the qualitative variables.
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PLEASE HELP ASAP
If 4
(A) between 5/8 and 4/5
(B) between 1 and 2
(C) between 0 and 2
(D) between 1/2 and 1
(E) cannot be determined
Answers
Answer: I'm not sure how to interpret "If 4 (A) between 5/8 and 4/5." If the sentence was supposed to read:
"Is 4:
(A) between 5/8 and 4/5
(B) between 1 and 2
(C) between 0 and 2
(D) between 1/2 and 1
(E) cannot be determined
Step-by-step explanation: If this is the correctly rewritten question, then the answer is NO to all the options. If I have misinterpreted the question, please clarify.
50,000 is 20% of what?
Answers
Answer:
250000
Step-by-step explanation:
20% of x is 50000
----------------------------
50000=20x/100
50000= x/5
5(50000) = x
250000 = x
rectangular equation for the curve whose parametric equations are x = 2cosθ, y = cos2θ.
Answers
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:
[tex]x = f(\theta), y = g(\theta) \to y = h(x)[/tex]
If we know that [tex]x = 2\cdot \cos \theta[/tex] and [tex]y = \cos 2\theta[/tex], then the rectangular equation is:
[tex]y = \cos 2\theta[/tex]
[tex]y = \cos^{2}\theta - \sin^{2}\theta[/tex]
[tex]y = 2\cdot \cos^{2}\theta -1[/tex]
[tex]\cos \theta = \frac{x}{2}[/tex]
[tex]y = 2\cdot \left(\frac{x}{2} \right)^{2}-1[/tex]
[tex]y = \frac{x^{2}}{2} -1[/tex]
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
We kindly invite to check this question on parametric equations: https://brainly.com/question/23070611
Maths Question - Topic Pythagoras
Please answer the question. Awarding 20 points
Answers
Answer:
h= 17.67 cm
Step-by-step explanation:
We have,
h=x
b=16 cm
p=7.5cm
Using Pythagoras Theorem,
h^2=p^2+b^2
h=√(7.5^2+16^2)
h=√(56.25+256)
h=√312.25
h=17.6705970471 cm
Austin and his wife go out to dinner. Their bill is $59.36. They want to leave a 19%
tip, and there is a sales tax of 5.5%. What is the final amount they will pay?
$62.62
$73.90
$74.49
$70.64
Answers
Answer:
The final amount they will pay is $74.49
Step-by-step explanation:
59.36(Check)*0.19(19% tip rate)=11.27
59.36+11.27=70.62 Check+Tip
70.62(Check total)*0.055(5.5% tax)=3.87
70.62+3.87=74.49 Total check, tip & tax
0.25555555 as a fraction
Answers
Answer:
23/90
Step-by-step explanation:Sorry if it's wrong!!!
A receptionist setting up tables for an event used 5 round tables and 2 rectangular tables.
Write a ratio that compares the number of round tables to the number of rectangular tables.
I
Answers
Answer:
5:2
or
5 to 2
or
5/2
Step-by-step explanation:
What is the domain of the function?
Negative infinity less-than x less-than infinity
Negative 1 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answers
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
[tex] \sqrt[3]{x} [/tex]
has the domain all of the real numbers
please help.... fast
Answers
Answer:
Napakadali lang sagutin nyan pre basic mangiba naman dapat Ang sagot ay SAS hopefully all