The measures of its acute angles are 46.97 and 43.03degrees
What is a triangle?A triangle is a 2-D shape that has 3 sides and angles
For the right triangle:
One leg = 14 feetOther leg = 15ftThe Pythagoras theoremIt states that the square of the longest side is equal to the sum of the square of the other two sides.
The hypotenuse is expressed as:
h² =14² + 15²
h = √196 + 225
h = 20.52
Get the acute angles
Sin theta = opp/hyp
Sin theta = 15/20.52
Sin theta = 46.97 degrees
The other acute angle will be 90 - 46. 97 = 43.03
Hence the measures of its acute angles are 46.97 and 43.03degrees
Learn mor on SOH CAH TOA here: https://brainly.com/question/4326804
How can you check the sample space of a probability model?
Answer: The sample space S for a probability model is the set of all possible outcomes. For example, suppose there are 5 marbles in a bowl. One is red, one is blue, one is yellow, one is green, and one is purple.
Step-by-step explanation: Hope this helped :)
help with this please :D
Answer:
120 degrees
Step-by-step explanation:
beacuse this is
what is the additive inverse of the complex number 9-4i?
B on edg
-9+4i
Answer:
-9 + 4i
Step-by-step explanation:
The additive inverse ("opposite") of a complex number a + bi is -a - bi.
Just use the opposites of a and b.
The question is ...(see the picture)
Thank you very much！！
Answer: [tex]3x^{-2.5}[/tex]
Step-by-step explanation:
Given
Expression is
[tex]\dfrac{12\sqrt{x}}{4x^3}[/tex]
Using exponent property [tex]x^a\cdot x^b=x^{a+b}[/tex]
Writing expression in the form of [tex]k\cdot x^n[/tex]
[tex]\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}[/tex]
I NEED HELP ON THE 2 PROBLEMS PLEASEE
Answer:
1. $7.39/hour 2. $0.75/foot
Step-by-step explanation:
1. 66.5/9= about 7.39 dollars
2. 15.75/21=0.75 dollars
Which value is an outlier in the data set shown below?
24, 26, 30, 28, 75, 25, 31
The question is in the picture
Answer:
questions 2 answe is x+3less than equal to 13
when accessing your credit card ,information online you cannot
Answer:
C. make purchases
Step-by-step explanation:
took the test
Can someone help me with question 1 and 2 please
Answer:
Didn't post the picture
Step-by-step explanation:
Help me please I need to get a good grade on this
Answer: 1,000
Step-by-step explanation: if you multiply the 900 in 157,900 by a 1,000 you get the 900,000 in 901,532.
If the line that connects the boat to the parasail is reeled in by 20
meters and the angle of elevation changes to 38° from the boat, how
many meters above the lake is the man to the nearest tenth of a
meter?
A)
67.4 m
B)
85.6 m
9
86.3 m
D)
177.9 m
Answer:
A) 67.4 m
Step-by-step explanation:
Let "x" represent how many meters above the lake is the man
Reference angle = 32°
Opposite = x
Hypotenuse = 129.5 m
Apply ye trigonometric function SOH:
Sin 32° = Opp/Hyp
Son 32 = x/129.5
129.5 × sin 32° = x
x = 68.6245447
This is close to A) 67.4 m
kelly bought 3 movie tickets and spent $39.60. each ticket cost the same amount. which equation can be used to solve for p, the amount each ticket cost?
a. 3+p= 39.60
b. p-3= 39.60
c. 39.60=30
d. 39.60 = p/3
Answer:
It's D
Step-by-step explanation:
since kelly bought three tickets, you divide by three to find the cost of each individual ticket
2/3 a minus 1/6 equals 1/3 what is a
Answer:
a = 3/4.
Step-by-step explanation:
2a/3 - 1/6 = 1/3
Multiply thru by the LCD 6:
4a - 1 = 2
4a = 3
a = 3/4.
What are the features of the function f(x) = –2 (2)x + 4 graphed below?
Answer:
Plot each graph on the same coordinate system.
f(x)=−2
(2)x+4
Step-by-step explanation:
Equation: -5 3/4- 3 1/2 Please help meh.
Answer:
[tex]-9\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-5\frac{3}{4}-3\frac{1}{2}[/tex]
Step 1: Factor out the common term [tex]-1[/tex]
[tex]=-\left(5\frac{3}{4}+3\frac{1}{2}\right)[/tex]
Step 2: Add the whole numbers
[tex]5 + 3 = 8[/tex]
Step 3: Combine the fractions:
[tex]\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)[/tex]
Step 4: Convert the improper fractions to mixed numbers
[tex]\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)[/tex]
Step 5: Add the numbers
[tex]8 + 1 =9 \\\\=-9\frac{1}{4}[/tex]
Therefore, the answer to the equation is [tex]-9\frac{1}{4}[/tex] in fraction, and decimal; [tex]9.25[/tex]
PLZ HELP NEEDED ASAP WILL GIVE BRAINLIEST
Answer:
32
Step-by-step explanation:
freedom and creative expression
The number 32 symbolizes freedom and creative expression. It is also a number that symbolizes teamwork, relationships, sensuality, optimism, curiosity. Number 32 people are tolerant, adventurous. and witty. They have a need to be spontaneous and free. They are interested in many things.
What is the domain of the function y=^3Vx?
Answer:
y=^3Vx is the domain function
Write the phrase as a numerical or algebraic expression: 7 more than 16n
Answer:
16n + 7
Step-by-step explanation:
Answer:
7 + 16n
Step-by-step explanation:
The use of more than indicates addition.
the circle shown has a diameter of 70 and a circumference of 219.91. Which of the following could be used to determine the value of 3.1 HELP
70 =
219.91 =
(That's what math.way told me)
The heights of seasonal pine saplings are normally distributed with an unknown population mean and standard deviation. A random sample of 20 saplings is taken and results in a sample mean of 310 millimeters and sample standard deviation of 20 millimeters. (a) The EBM, margin of error, for a 98% confidence interval estimate for the population mean using the Student's t-distribution is 11.35. (b) Find a 98% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places.
Answer:
a) The margin of error for the interval is of 11.35.
b) The 98% confidence interval estimate for the population mean using the Student's t-distribution is between 298.65 and 321.35 millimeters.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.539
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.539\frac{20}{\sqrt{20}} = 11.35[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Thus, the margin of error for the interval is of 11.35.
The lower end of the interval is the sample mean subtracted by M. So it is 310 - 11.35 = 298.65 millimeters.
The upper end of the interval is the sample mean added to M. So it is 310 + 11.35 = 321.35 millimeters.
The 98% confidence interval estimate for the population mean using the Student's t-distribution is between 298.65 and 321.35 millimeters.
The line passes through points (2,7) and (4,8)
Answer:
Explanation:
hope it will helps please heart my answer!
What is 5x(4+3.50+6+2.50)
Answer: the answer is 80
Step-by-step explanation: How i got this answer is i followed the PEMDAS order (parenthesis, exponent, multiplication, division, addition, subtraction)
So according to the order, i had to do the parenthesis first, (4+3.50+6+2.50)
(( what i did was i just broke the problems into 2 so it would be much more easier)) (4 + 3.50 = 7.5) and the next (6 + 2.50 = 8.5) Then you would add those numbers together (7.5 + 8.5 = 16)
We can see that we still have the 5 left over, so now all you gotta do is just multiply now. (16 x 5 = 80)
So the answer u r left off with is 80.
~hope this has helped you out, have a gr8 day/night my friend!~
Freya drinks 8 ounces of milk each day. Let m represent the number of ounces of milk Freya drinks in d days
Answer:
m = d times 8
Step-by-step explanation:
What is formula for area of the base of a cylinder? A) Area = Pi/r. B) Area= Pi *r C) A= Pi* r ^. or. (r*r). D) A= diameter* radius
Answer:
The formula for the area of the base of a cylinder is π r²
There are 3 liters of orange juice at the school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get. (enter answer as a fraction or a mixed number) Write a number sentence that represents the problem
Answer:
0.3 liters each student
Step-by-step explanation:
3 liters = 3.000 ml so 3.000(ml) : 10(students) =300 ml which is 0.3 liters
in an examination for final student of a school 60 offered history, 50 economics and 48 literature, 30 Offered history and economics 16 Offered history and literature 22 offered economics and literature if 10 candidates offered all the three subject find
1: the number that offered history
2:the number that offered only economics
3:the number that offered only literature
4:how many candidates sat for the examination assuming that each candidate sat for at least one subject
Step-by-step explanation:
A 106 offered history to students
Choose the correct answers.
AUTOMOBILE LIABILITY BASIC INSURANCE PREMIUMS
Coverage Class 1A Class 10 Class 10 Class 2A Class 2B Class 3
Bodily Injury
(in $1,000's):
10/20
50/100
100/300
Property Damage
$5,000
$10.000
$25.000
317.80
383.60
407.50
365.40
440.70
480.90
413.40
497.80
530.92
587.00
709.30
751.88
.
761.00
917.90
976.96
428.40
517.60
549.70
61.00
67.00
73.20
69.40
76.20
84 80
79.80
87.80
96.80
113.40
124.80
136.00
163.80
180.00
196.00
THE
81.80
90.00
98 20
Class 1A: No male driver under 25 car not used for business and not driven to or from work
Class 1B: No male driver under 25: car not used for business and driven to work fewer than
ten miles away
Class 1C: No male driver under 25; car not used for business and driven to work at least ten
Class 2A: One or more male drivers under 25 who are married or are not owner(s) of the car.
Class 28: Unmarried male driver under 25 who is owner of the car.
Class 3: No male driver under 25 car used for business
Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert
Smith is injured. Also injured in the accident is a pedestrian, Sam Dickson. Albert's medical expenses
total $12,000, Sam's come to $8,000. How much will the insurance pay?
a. for Albert
b. for Sam
c. total
Evaluate cos0 if sin0= sqrt(5)/3
a. 9/5
b. 2/3
c. 5/9
d. 3/2
Solution given:
[tex] \sin( \alpha ) = \frac{\sqrt{5} }{3}[/tex]
so
P=√5
h=3
b=[tex] \sqrt{3 {}^{2} - \sqrt{5} {}^{2} } [/tex]
b=2
so
[tex] \cos( \alpha ) = \frac{b}{h} = \frac{2}{3} [/tex]
Note
[tex] \alpha = 0[/tex]
b:⅔
Perpendicular=√5
Hypotenuse=3
Base
√(3)²-(√5)²√9-5√42CosØ
Base/Hypotenuse2/3Need full answer quick please help
Answer:
Line 1 contains an error.
Step-by-step explanation:
2k^2 and 2 are fine but 2k and 1k don't make 5k since when you add it you would get 3k.
What is the 100th term of this sequence?
an= -7n+ -5