Let θ be an angle such that cot θ= 12/5 and secθ<0.
Find the exact values of cosθ and cscθ.
9514 1404 393
Answer:
cos(θ) = -12/13
csc(θ) = -13/5
Step-by-step explanation:
The relation between the cot and csc is ...
cot² + 1 = csc²
The signs of the cot and sec tell you this is a 3rd quadrant angle, where cos and csc are both negative.
Then ...
csc(θ) = -√(1 +(12/5)²) = -√(169/25)
csc(θ) = -13/5
__
cos(θ) = cot(θ)/csc(θ) = (12/5)/(-13/5)
cos(θ) = -12/13
The perimeter of this shape is 120 π mm
What is the radius of the smaller semicircles?
Answer:
15mm
Step-by-step explanation
It says the perimeter is 120 pi, if pi is separate from 120, that would make 120 our radius 60. with 4 semicircles, divide 60 by 4 and boom, 15.
I think that's right, I was never good at geometry
Which is the graph of X < 2?
Answer:
I think it should be the first or the second one
they both look the same
so choose either
Answer:
The 4th one ( graph #4)
Step-by-step explanation:
an item costs x dollars and then a 20% discount is applied
Answer:
If an item is x dollars and 20% discount is applied, the new price will be: 0.8x
Step-by-step explanation:
100 - 20%(20) = 80
80 = 80% or 0.8
So, the remaining of the price of x will be 0.8x.
Spain settled Texas because of threats from
a. France.
b. hostile Indians.
C. England .
d. the United States.
Answer:
The answer is A, France
Answer:
Spain settled taxes because of threats from France
If mL2=3x+1 and mL3=2x+4, what is mL2
A)38
B)17
C)90
D)52
Answer:
D) 52
there is a 90 degrees angle and the one inside, it is less than 90 degrees so your answer is 52
Help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
Four-thirds
Step-by-step explanation:
If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.
The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
f(x) = x² - (1/3)x x ≠ -1
= -1 x = -1
[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)
f(x) = 1 + (1/3)
f(x) = 4/3
To know more about Function
https://brainly.com/question/12431044
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The area of a rectangle is 99 square meters. The length is 11 meters. Find the width.
Answer:
9 meters
Step-by-step explanation:
To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.
The width is 9 meters.
Which could be the length of BC
11 ft
13 ft
15 ft
18 ft
Solve for x.
2x + 4x + 3 = 7 – x + 10
a: x = −4
b: x = −2
c: x = 2
d: x = 4
Answer:
Answer:
A.) 2(-4) + 4(-4) + 3 = 7 -(-4) + 10
-8 -16 + 3 = 21
-24 + 3 = 21
-21 = 21
Answer= -1.
B.) 2(-2) + 4(-2) + 3= 7 -(-2) + 10
-4 -8 + 3 = 19
-12 + 3 = 19
-9 = 19
-2.1.
C.) 2(2) + 4(2) + 3 = 7 -(2) + 10
4 + 8 + 3 = 7 -2 + 10
15 = 15
1.
D.) 2(4) + 4(4) + 3 = 7 -(4) + 10
8 +16 + 3 = 7 -4 + 10
27 = 13
0.481.
find each sum (-4y+3) + (11y-5)
Answer:
7y−2
Step-by-step explanation:
19
The two figures are proportional. Find the value of x.
36 in.
12 in.
<
10 in.
Х
A
12 in
B) 24 in
30 in
40 in
Answer:
C 30 in
Step-by-step explanation:
set a proportion: 36/12 = x/10 => x = 36 × 10 ÷ 12 = 30
Hi hi help help please please
Answer:
50.24 or [tex]16\pi[/tex]
Step-by-step explanation:
N/A
Help me in the next 10 minutes pls
Answer:
516 in.³
Step-by-step explanation:
14 · 6 · 4
336 in.³
10 · 6 · 3
180 in.³
336 in.³ + 180 in.³
516 in.³
Please Help if you can!! I also have more questions in my profile!
Answer:
(4, 0), (-4, 0)
Step-by-step explanation:
Hope it helps you in your learning process.
derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion
Answer:
the answer is probably 5
What is the solution set to the equation 15-4x=x^2-6x?
Answer:
x = 5 and x = -3
Step-by-step explanation:
15 - 4x = x² - 6x
15 = x² - 2x
0 = x² - 2x - 15
Now if solved using quadratic formula the answer would be:
x = 5 and x = -3
Hope this helps!
What is the difference in the range of temperatures recorded last year and the range of temperatures recorded this year
C
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Last Year
9
10
11
14
19
22
27
29
21
18
11
6
2 Years Ago
7
11
10
13
17
23
25
25
20
18
12
9
Answer: explain how crime contributes to social injustices
Step-by-step explanation:
A pair of shoes cost $57.00 and the sales tax is 7%?
What is amount of the sales tax? Be exact, it's money.
Answer:
3.88
Step-by-step explanation:
$57 multiplied by 7%
what is
r+15=36
[tex]r + 15 = 36[/tex]
Answer:
Step-by-step explanation:
R=21
8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain between controls who have never played football, football players with no history of concussion, and football players with a history of concussion. The data are available in FootballBrain. Use StatKey or other technology to conduct an ANOVA randomization test to determine whether there is a significant difference in mean hippocampus volume between the three categories. What is the F-statistic for the observed data
Answer:
Since the calculated F= 2.8657 does not lie in the critical region F (2,2)≥ 19 we conclude that there no difference between the means.
Since the calculated F= 205.0819 lies in the critical region F(1,2) ≥ 18.51 we conclude that there is a difference between the standard deviations of the three groups.
The F- statistic for the observed data is 0.101 as calculated by F- test in excel.
Step-by-step explanation:
To conduct an ANOVA randomization test we perform anova without replication in excel.
The data for the test is
Mean Standard Deviation Sample Size
Never
Played Football 7602.5 1074 25
FB with no History 6459.2 779.9 25
FB with Concussion 5734.6 593.4 25
Total 6598.8 1133.5 75
Anova: Two-Factor Without Replication
SUMMARY Count Sum Average Variance
Row 1 2 8676.5 4338.25 21310656.13
Row 2 2 7239.1 3619.55 16127224.25
Row 3 2 6328 3164 13215968.72
Column 1 3 19796.3 6598.766667 886871.7433
Column 2 3 2447.3 815.7666667 58708.90333
ANOVA Table
Source Sum of Degrees Mean
of Variation Square of freedom Squares
SS df MS F P-value
B/w Rows 1401945.703 2 700972.8517 2.8657 0.259
B/w Col 50164633.5 1 50164633.5 205.0819 0.00484
Error 489215.59 2 244607.795
Total 52055794.79 5
Set up the null and alternate hypotheses :
H0 ; there's no difference between the means and
there's no difference between the standard deviations
against the claim
Ha: there's a difference between the means and
there's a difference between the standard deviations
The significance level is chosen at 0.05
The test statistics to use are
F1= estimated variance from Between Means/ estimated variance from Error SS
F1= s1²/s3²
F1= estimated variance from Between Standard Deviations / estimated variance from Error SS
F2- s2²/s3²
with υ1= (2,2) and υ2(1,2) degrees of freedom.
The critical regions for F (2,2)≥ 19 for 0.05 significance level
and F(1,2) ≥ 18.51 for 0.05 significance level
Since the calculated F= 2.8657 does not lie in the critical region F (2,2)≥ 19 we conclude that there no difference between the means.
Since the calculated F= 205.0819 lies in the critical region F(1,2) ≥ 18.51 we conclude that there is a difference between the standard deviations of the three groups.
The F- statistic for the observed data is 0.101 as calculated by F- test in excel.
two numbered 1 to 6 dice are thrown together and their scores are added. the probability that the sum will be 4 is?
Answer:
[tex]Pr = \frac{3}{36}[/tex]
Step-by-step explanation:
Given
2 number die
Required
P(Sum = 4)
The sample space of 2 die is:
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6), (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]
[tex]n(S)= 36[/tex]
The pairs that adds up to 4 are:
[tex]Sum(4) = \{(1,3), (2,2),(3,1)\}[/tex]
[tex]n(Sum) =3[/tex]
So, the probability is:
[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]
[tex]Pr = \frac{3}{36}[/tex]
Dave is adding a new patio to the back of his house. The dimensions of the patio are shown below. If one bag of concrete mix will cover 50 square feet, how many bags of concrete will he need?
Answer:
4
Step-by-step explanation:
Multiply base times height for the area
Divide the area by 50
You cant have 3.888 bags so round up to get 4.
Please help due in 10 min!!! Solve for X
Answer:
x == 9
Step-by-step explanation:
Angle at the vertex is half the difference of those at the intercepted arcs;
35 = 1/2(120-15x+5)
35 * 2 = 120-15x-5
70 = 115 - 5x
70 - 115 = -5x
-45 = -5x
x = 45/5
x = 9
Hence the value of x is 9
pleaseeeee helppppppppppllpllll!!
Answer:
Angle is right
Sides are scalene
X: 80% degrees
Since if its parallel it's 90% degrees
Step-by-step explanation:
What is 20000 times 18000
Answer:
ez the answer is 360000000
Step-by-step explanation:
Answer:
the answer is 360000000
Step-by-step explanation:
Please don’t troll include work
Can you help me with this?
Answer:
B =30 yd²
Step-by-step explanation:
total area
= area of rectangle + area of triangle
=(6*4)+(1/2 * 3 * 4)
=30
Answer:
30
Step-by-step explanation:
The area formula for trapezoid- A=1/2*h*(b1+b2)
So- 1/2*4*(6+9)
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct