Answer:
tanФ = [tex]\frac{\sqrt{2}}{2}[/tex], cscФ = 3, secФ = [tex]\frac{3\sqrt{2} }{4}[/tex], cotФ = [tex]2\sqrt{2}[/tex]
Step-by-step explanation:
tanФ= [tex]\frac{1}{2\sqrt{2} } =\frac{2\sqrt{2}}{8} =\frac{\sqrt{2} }{2}[/tex]
cscФ= [tex]3[/tex]
secФ= [tex]\frac{3}{2\sqrt{2}} =\frac{6\sqrt{2}}{8} =\frac{3\sqrt{2}}{4}[/tex]
cotФ= [tex]2\sqrt{2}[/tex]
Find the slope of the line that passes through (3, 7) and (1, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Meng conducted a survey to determine the favorite flavor of ice cream in
his hometown. Fifteen of the fifty people he surveyed like strawberry best.
How many of the 3,500 residents in the town would you expect to like
strawberry ice cream? *
Answer:
1,050
Step-by-step explanation:
It’s in my notebook, so I can’t show
Sam wants to buy a watch that cost $188. This is $48 more than 4 times
he sved last month. How much dia he save last month? *
Answer:
$35
Step-by-step explanation:
188-48 gives you the 4x what he saved
140/4 gives you the total which is 35.
A picture is mounted on a frame measuring 25 centimeters by
15 centimeters. It has a border of 3 centimeters round it. Find the area
and perimeter of the picture.
25 cm
13 cm
A=kW
P-HIWAW
3 cm
picture 3 cm
115 cm
13 cm
cm
Answer:
I think it's 1,125 and 4485
Step-by-step explanation:
25x13x3
115x13x3
Mr. Tuyen uses
7/8
of a tank of gas each week to drive to and from his job.
How many tanks of gas does Mr. Tuyen use in 7 weeks? Enter your answer as a fraction and as a mixed number.
Answer:
Mr.Tuyen uses 3 1/8 tanks of gas in 5 weeks. The improper fraction version would be 25/8 if that is what you're looking for
Find the range of the data.
6, 8, 14, 4, 26, 24, 2, 4, 18, 9
Factorise the expressions and divide them as directed.
Ok. These are the answers. Tell me if you didm't understand my writing.
You need to buy enough sand to fill a sandbox to the top. The sandbox is modeled by the right rectangular prism in the diagram. How much sand do you need to buy?
A) 69 cubic feet B) 70 cubic feet Eliminate C) 79 cubic feet D) 80 cubic feet
Answer:
D is the best choise
Step-by-step explanation:
Use special right triangles.
Find the exact value of x and y.
18
30°
X = ?
y = ?
A rectangular garden plot has an area of 36 ft. 2. If the width of the plot is 4ft, what is the length?
9ft
12ft
18ft
4ft
Answer:
I think it should be 9 because 9x4 is 36
is going to plant y vegetable seeds in one garden and 3y+8 vegetable seeds in another. How many seeds is Frank going to plant?
Answer:
4y + 8 vegetable seeds
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
We know that Frank has 2 gardens, one with y vegetable seeds and another with 3y + 8 vegetable seeds. If we are trying to find the total amount of seeds planted, we must add the 2 gardens together:
Garden 1: y
Garden 2: 3y + 8
Garden 1 + Garden 2 = Total veggie seeds
y + 3y + 8 = Total veggie seeds
Total veggie seeds = 4y + 8
(-3, 3), (1, 1), (0 -2), (1, -4), (5, -1) domain and range
is it a function plz help i aint no good at math
Answer:
not it is not aa function
Step-by-step explanation:
The human resources department of an engineering company gives IQ tests to a randomly selected group of new hires every year. They claimed that the mean IQ score of new hires, , from this year is greater than or equal to the mean IQ score of new hires, , from last year. This year, 95 new hires took the test and scored an average of 112.2 points with a standard deviation of 14.0 . Last year, 70 new hires took the IQ test and they scored an average of 117.8 points with a standard deviation of 14.5 . Assume that the population standard deviation of the IQ scores from the current year and the last year can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. Is there enough evidence to reject the claim of the human resources department, at the 0.01 level of significance
Answer:
Step-by-step explanation:
Null hypothesis: [tex]\mathbf{H_o: \mu_1 \ge \mu_2}[/tex]
Alternative hypothesis: [tex]\mathbf{H_o: \mu_1< \mu_2}[/tex]
This type of test statistic is a z test statistics
1st 2nd
Sample mean x = 112.2 117,8
Standard deviation σ = 14.0 14.5
Sample size n = 95 70
Point estimate [tex]\bar x_1 - \bar x_2[/tex] = -5.60
Standard error [tex]\sigma_{x_1-x_2}= \sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2} }[/tex]
[tex]= \sqrt{\dfrac{14.0^2}{95} +\dfrac{14.5^2}{70} }[/tex] = 2.2509
Test statistics [tex]z=\dfrac{x_1 - x_2}{\sigma_{x_1-x_2}}[/tex] [tex]=\dfrac{112.2- 117.8}{2.2509}[/tex] = - 2.4878
P-value = 0.012
No, there is no enough evidence Since p-value is greater than 0.01.
classify the segment in each part below. only use the information given in the figure do not assume measures are equal unless the markings indicate they are
Answer:
i dont know i just need points for more questions sorry
Step-by-step explanation:
What is the next number in the sequence -16, -6, 4, 14
Answer
24
Step-by-step explanation:
you are adding by 10
-16+10=-6
-6+10=4
4+10=14
14+10=24
Caroline saves money in an arithmetic sequence: $350 the first year, another $550
the second, and so on. How much money does she save after 31 years?
Pat is walking to a restaurant 6 blocks away. Pat has walked 2 blocks in 7 minutes. How many more minutes to reach the restaurant?
Answer:
14 minutes
Step-by-step explanation:
6÷2=3
3×7-7=21
How do you Solve 20/3=10/9x
Answer:
200
Step-by-step explanation:
100✓9283+374+_+38_+_+_("#9#9_+
Answer:
x = 6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
The map of a trail is shown below. Find the value of x.
16+23=39
180-39=151
Answer:
151
Alternate exterior angles are congruent
Which angle forms a pair of alterhate
exterior angles with angle 3?
f
<3 = 41?)
Answer:
Angle 6
Step-by-step explanation:
The opposite exterior angle to angle 3 is angle 6.
For another example, the opposite exterior to angle 1 is angle 8.
If you were to cut them out and put them over each other, they're congruent. Hope that helped you out :)
Answer:
<3=<6 forms a pair of alternate
exterior angles with angle 3.
A helicopter and a plane can make a safe landing if at least half of its engines are working properly. Suppose that engine failures are independent events. Determine whether a two engine helicopter or a four engine plane is safer if the chance that an engine fails is 1 in 100?
Answer:
I'm going to make an uneducated guess here.
I think the probability of two engines failing would be the same for either aircraft. In the instance that does happen, the helicopter doesn't fly at all and the airplane does.
I say the airplane is safer.
Step-by-step explanation:
So, the plane is safer than the helicopter.
Binomial distribution:
The formula for finding the probability by Binomial distribution is,
[tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
For Helicopter,
We need to calculate, Probability of safe landing, [tex]P(X = 0)[/tex]
Here, [tex]n = 2, p = 0.99, (1 - p) = 0.01\ and\ x = 1[/tex]
As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
We need to calculate [tex]P(X \ge 1).[/tex]
[tex]P(X \ge1) = (2_C_1 \times 0.99^1 \times 0.01^1) + (2_C_2 \times 0.99^2 \times 0.01^0)\\P(X \ge1) = 0.0198 + 0.9801\\P(X \ge 1) = 0.9999[/tex]
For Plane,[tex]P(safe\ landing)[/tex]
Here, [tex]n = 4, p = 0.99, (1 - p) = 0.01\ and\ x = 2[/tex]
As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]
We need to calculate P(X >= 2).
[tex]P(X \ge 2) = (4_C_2 \times 0.99^2 \times 0.01^2) + (4_C_3 \times 0.99^3 \times 0.01^1) + (4_C_4 \times 0.99^4 \times 0.01^0)\\P(X \ge 2) = 0.0006 + 0.0388 + 0.9606\\P(X \ge2) = 1\\[/tex]
Learn more about the topic Binomial distribution:
https://brainly.com/question/26096510
need help horribly geometry question
Answer:
23.31 ft
Step-by-step explanation:
Reference angle = 47°
Opp = 25 ft
Adj = x
Apply trigonometry ratio TOA:
Tan 47 = Opp/Adj
Tan 47 = 25/x
x*Tan 47 = 25
x = 25/Tan 47
x = 23.3128772 ≈ 23.31 ft (to 2 d.p)
AD is the perpendicular bisector of BC.
BD = 5x – 10 and DC = 3x + 10.
Determine the value of x.
5x-10= 3x+10
5x-3x= 10+10
2x÷2= 20÷2
x= 10
Step-by-step explanation:
as AD bisects them they will be two equal parts so
5x-10=3x+10
5x-3x=10+10
2x=20
divide both sides by 2 and
x=10
hi pls send help
-
brainlist to best answer
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Hi!
We will have to plug everything in to solve this!
So...
A. -3 * 2 > 6
-6>6 (WRONG)
B. 2 * 2 > 6
4>6 (WRONG)
C. 3 * 2 > 6
6>6 (WRONG)
D> 5 * 2 > 6
10>6 (CORECT)
Hope this helps :)
P.S. the star (*) stands for the multiplication sign!
8k + 4 - 11k + 9 show work please
Answer:
8+4−11+9
8+13−11
8+13−11
−3+13
^^^
Step-by-step explanation:
You randomly choose one game piece. Find the theoretical probability of each event. Reduce the fraction in lowest terms and
indicate the percentage rounded to the nearest hundredth, if necessary.
Answer:
Yellow= 1/2 or 50%chance
Red= 1/5 or 20% chance
Blue= 1/5 or 20% chance
Green= 1/10 or 10% chance
Step-by-step explanation:
There are 10 game pieces
5 are yellow
2 are red
2 are blue
And 1 is green
5/10=1/2=50%
2/10=1/5=20%
2/10=1/5=20%
1/10=10%
Add these up and you get 10/10 or 100%
Hope this helps and don't forget to follow!
I need to do this class soon, please help me
Answer:
Step-by-step explanation:
18. x + 25 = 55
x = 30
19. 2x - 5 = 95
2x = 100
x = 50
20. 3x - 22 = 2x + 26
x - 22 = 26
x = 48
21. 3x - 18 + 105 = 180
3x + 87 = 180
3x = 93
x = 31
22. 19x + 17x = 180
36x = 180
x = 5
27(5) = 135
23. 5x + 40 + 2x = 180
7x + 40 = 140
7x = 140
x = 20
5(20) = 100
2(20) = 40
5(20) + 40 = 100 + 40 = 140
(Please Help) ASAP!
POINT:30
Answer:
We have 4 triangles with base 3 and height 4 and a square with side length 3 so:
Triangles:
The area for a triangle is calculated by [tex]\frac{bh}{2}[/tex] where b is the base and h is the height so we have [tex]\frac{12}{2}\cdot 4[/tex] so we have a total area of 24.
[b]Square:[/b]
The area of a square is calculated by [tex]s^{2}[/tex] where s is the side length so we have the area is 9.
Now we put them together for the surface area so we get 24 + 9 = [tex]\boxed{33}[/tex]
Hope this helped!
(sorry for taking so long, TeX takes so long to type out(Math typesetting software))
The polygons are similar. but they are not necessarily drawn to scale. Find the value of x
Answer:
x=9
Step-by-step explanation:
Since the polygons are similar, the ratios of their respective sides are equal.
32/24=(x-1)/6
x-1=8
x=9
I need help with this right now before it’s due
Grapes
Answer:
21, 6, 12
Step-by-step explanation:
your welcome:)