Answer:
[tex]\displaystyle \sec A=\frac{65}{63}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \csc A=\frac{65}{16}[/tex]
Where A is in QI.
And we want to find sec(A).
Recall that cosecant is the ratio of the hypotenuse to the opposite side. So, find the adjacent side using the Pythagorean Theorem:
[tex]a=\sqrt{65^2-16^2}=\sqrt{3969}=63[/tex]
So, with respect to A, our adjacent side is 63, our opposite side is 16, and our hypotenuse is 65.
Since A is in QI, all of our trigonometric ratios will be positive.
Secant is the ratio of the hypotenuse to the adjacent. Hence:
[tex]\displaystyle \sec A=\frac{65}{63}[/tex]
Answer:
Step-by-step explanation:
cosec A =60/16
hypotenuse/opposite = 60/16 =15/4 (in simplest form)
therefore hypotenuse = 15 , opposite = 4
then adjacent =? (let be x)
using pythagoras theorem to find adjacent
opposite^2 + adjacent^2 = hypotenuse^2
4^2 + x^2 = 15^2
16 + x^2 = 225
x^2 = 225 - 16
x^2 = 209
[tex]x=\sqrt{209}[/tex]
sec A =hypotenuse/adjacent
[tex]=\frac{15}{\sqrt{209} }[/tex]
[tex]=\frac{15}{\sqrt{209} } * \frac{\sqrt{209} }{\sqrt{209} }[/tex]
=[tex]\frac{15\sqrt{209} }{209}[/tex]
-2 1/3 - (-5) = []
A. 2 2/3
B. 3 1/3
C. 3 2/3
D. -7 1/3
Answer:
[tex]2 \ \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]−2 \frac{1}{3} −(−5) \\ =− \frac{7}{3} −(−5) \\ = \frac{ - 7}{3} −(−5)
\\ = \frac{8}{3} \\ =2 \ \frac{2}{3} [/tex]
What is the perimeter in terms of x, of the rectangle shown here (x^2+7x-9) (3x^2-2x)
Given:
Consider the dimensions of the rectangle are [tex](x^2+7x-9)[/tex] and [tex](3x^2-2x)[/tex].
To find:
The perimeter in terms of x, of the rectangle.
Solution:
Let the length of the rectangle be [tex](x^2+7x-9)[/tex] and the width of the rectangle is [tex](3x^2-2x)[/tex] units.
The perimeter of a rectangle is:
[tex]P=2(l+w)[/tex]
Where, l is the length and w is the width of the rectangle.
Substituting [tex]l=(x^2+7x-9)[/tex] and [tex]w=(3x^2-2x)[/tex] in the above formula, we get
[tex]P=2((x^2+7x-9)+(3x^2-2x))[/tex]
[tex]P=2(4x^2+5x-9)[/tex]
[tex]P=2(4x^2)+2(5x)+2(-9)[/tex]
[tex]P=8x^2+10x-18[/tex]
Therefore, the perimeter of the rectangle is [tex]8x^2+10x-18[/tex] units.
PLEASE HELP ASAP
the graphs below have the same shape. what is the equation of the red graph?
Answer:
D
Step-by-step explanation:
I checked it on desmos and also the shift is 1 up that means subtracting from a larger number
Answer: d
Step-by-step explanation:
use the function below to find F(3).
F(x) = 4(1/3)^x
Answer:
4/27
Step-by-step explanation:
F(x) = 4(1/3)^x
Let x =3
F(3) = 4(1/3)^3
Exponents first
F(3) = 4 * 1/27
Then multiply
f(3) = 4/27
Answer:
4/27
Step-by-step explanation:
f(x) = 4(1/3)^x
f(3) = 4(1/3)^3
f(3) = 4(1/27)
f(3) = 4/27
hope that helps
what set of numbers are shaded on the hundred chart.
A: only all the factors of 36
B: only the multiples of 36
C: only all the factors of 72
D: only all the multiples of 72
Help, Help, Help, Help, Help,
Step-by-step explanation:
answer is in photo above
Answer:
0.25
Step-by-step explanation:
f(1)=(1/4)^1
0.25
Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?
Given:
Renee has dimes and quarters in her wallet that total $1.60.
She has 2 more dimes than quarters.
To find:
The number of each type of coins.
Solution:
Let x be the number of dimes and y be the number of quarters.
She has 2 more dimes than quarters. So,
[tex]x=y+2[/tex] ...(i)
We know that,
1 dime = $0.10
1 quarter = $0.25
Renee has dimes and quarters in her wallet that total $1.60. So,
[tex]0.10x+0.25y=1.60[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.10(y+2)+0.25y=1.60[/tex]
[tex]0.10y+0.20+0.25y=1.60[/tex]
[tex]0.35y=1.60-0.20[/tex]
[tex]0.35y=1.40[/tex]
Divide both sides by 0.35.
[tex]y=\dfrac{1.40}{0.35}[/tex]
[tex]y=4[/tex]
Substituting [tex]y=4[/tex] in (i), we get
[tex]x=4+2[/tex]
[tex]x=6[/tex]
Therefore, the number of dimes is 6 and the number of quarters is 4.
Which transformation is not isometric?
A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees systolic blood pressure levels. Twenty people are selected and have their blood pressure measured. Each person then participates in the stress reduction program. One month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. Did the program reduce the average systolic blood pressure level? Note: Differences were taken by taking "before systolic blood pressure" minus "After blood pressure"
The 95% confidence interval was (5.6, 10.2).
A. On average, the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at the 95% confidence level
B. We are 95% confident that there is no difference in average systolic blood pressure levels before and after the stress reduction program.
C. On average, the systolic blood pressure levels after the stress reduction program were significantly higher than the systolic blood pressure levels before the stress reduction program, at the 95% confidence level.
Answer:
A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level
Step-by-step explanation:
The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees
The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure
The 95% confidence interval obtained = (5.6, 10.2)
Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
Answer:
61,70,79
Step-by-step explanation:
common difference=9
It is an arithmetic progression.
therefore next 3 terms of the sequence is 61,70,79
Answer:
61, 70,79
Step-by-step explanation:
34 - 25 = 9
43 - 34 = 9
52 - 43 = 9
52 + 9 =61
the pattern is plus 9
Select the correct answer.
In which quadrant are the x-coordinate and the y-coordinate of a point both negative?
A.
quadrant I
B.
quadrant II
C.
quadrant III
D.
quadrant IV
Answer: c
Step-by-step explanation:
Combine these radicals.
–66
–54
Answer:
-100
Step-by-step explanation:
624,612 rounded to the nearest hundred is
Answer:
624,600
Step-by-step explanation:
624,612
612 rounds to 600
624,600
Answer:
624,600
Step by step explanatiom:
cause math
A parabola intersects the x- axis at x=3 and x=9
Step-by-step explanation:
To find the equation of a parabola we need to have 3 points. The intercept of the X axis is the X intercept. The definition of an intercept is when the other value is equal to zero. (3,0) and (9,0)
There appears to not be enough points to answer your question. we also need a vertex
I need help solving these problems
Answer:
question one:
x = 6.018150231520483
adjacent angle = 7.986355100472928
Step-by-step explanation:
i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations
it automaticly does sin, cos, and tan for you.
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
Answer:
a) 1650 m
b) 1677.05 m
Step-by-step explanation:
Hi there!
1) Determine what is required for the answers
For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.
For part B, we're asked to solve for the length of the road, or the length of AB.
2) Prove similarity
In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).
How do we know they're similar?
Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle ATherefore, the two triangles are similar because of AA~ (angle-angle similarity).
3) Solve for part A
Recall that we need to find the length of AC.
First, set up a proportion. XY corresponds to BC and AY corresponds to AC:
[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]
Plug in known values
[tex]\frac{2}{300}=\frac{11}{AC}[/tex]
Cross-multiply
[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]
Therefore, the road will rise 300 m over a horizontal distance of 1650 m.
4) Solve for part B
To find the length of AB, we can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides
Plug in 300 and 1650 as the legs (we are solving for the longest side)
[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]
Therefore, the length of the road is approximately 1677.05 m.
I hope this helps!
I am doing a connexus geometry unit test. please send assistance!
Answer:
x=37
Step-by-step explanation:
50+24=74
74/2=37
The chart below represents the number of marbles in a jar. What is the probability of picking blue?
P(blue) =
Answer:
yes
Step-by-step explanation:
A company sold 123 mobile phones for ₹ 8000 each. With the same money, 48 music systems were bought. Find the cost of one music system.
Answer:
Step-by-step explanation:
123 X 8000 = 984000
984000/48 = 20500(PUT EURO SIGN)
120÷[17-{15-3(8-2)}]
Answer:
the ans has to be 6.........
9. Griffin ordered a pair of sneakers online. He had a $16 credit that he applied
toward the purchase, and then he used a credit card to pay for the rest of the
cost. If the shoes cost $80, how much did Griffin charge to his credit card when
he bought the sneakers?
Plz help
Answer: 79 more
Step-by-step explanation:
5 exponent 3 · 5 exponent 8
needs to be in exponent form
WILL GIVE BRAINIEST
Answer:
[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]
Step-by-step explanation:
when the bases are the same, add exponents
passes through (-2, 1) and (2, -5)
Answer:
The equation of the line is:
[tex]y = -\frac{3}{2}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope:
We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So
Change in y: -5 - 1 = -6
Change in x: 2 - (-2) = 2 + 4 = 4
Slope: [tex]m = \frac{-6}{4} = -\frac{3}{2}[/tex]
So
[tex]y = -\frac{3}{2}x + b[/tex]
Passes through (-2, 1)
This means that when [tex]x = -2, y = 1[/tex]. We use this to find the y-intercept. So
[tex]y = -\frac{3}{2}x + b[/tex]
[tex]1 = -\frac{3}{2}(-2) + b[/tex]
[tex]1 = 3 + b[/tex]
[tex]b = -2[/tex]
So, the equation of the line is:
[tex]y = -\frac{3}{2}x - 2[/tex]
if U= {1,2,3,4,5,6}, A ={1,2,3,}
B={2,3,5},and C ={4,5,6}
find (AUB)'n c
======================================================
Explanation:
A = {1,2,3}
B = {2,3,5}
A u B = {1,2,3,5}
The set A u B consists of anything in either set A or set B. This is a set union.
The complement of this is the complete opposite. So we only consider the items 4 & 6
(A u B)' = {4,6}
Note that sets AuB and (AuB)' can be unioned together to end up with the universal set U. Be sure not to mix up the universal set notation U with the union symbol 'u'
The last step is to see what sets (AuB)' and set C have in common. That would be 4 and 6 since both values are found in both sets
Therefore, (A u B)' n C = {4, 6}
The n refers to the intersection symbol.
No dia da festança, bianca comprou dos pasteis por $5,20, duas maçãs do amor por $ 3,40 e dois refrigerantes por $7,60. Quanto bianca gastou?
Responder:
$ 16,2
Explicação passo a passo:
No dia da festa, Bianca comprou os pastéis por US $ 5,20, duas maçãs do amor por US $ 3,40 e dois refrigerantes por US $ 7,60. Quanto bianca você gastou?
O valor gasto por Bianca é a soma de todos os itens que ela comprou:
Pastelaria = $ 5,20
Maçãs do amor = $ 3,40
Refrigerantes = $ 7,60
A soma da soma dá o valor gasto de Bianca:
Doces + Maçãs do Amor + Refrigerante
$ (5,20 + 3,40 + 7,60)
= $ 16,2
Mrs. Jones is planning a field trip to the state capitol building for all of the sixth graders at her school. She needs $3.75 to cover the cost of each student's lunch. There are 327 students attending the field trip. How much money does Mrs. Jones need to cover the cost of all of the students' lunches?
Answer:
= $1226.25
Step-by-step explanation:
There are 327 students
Each student lunch is $3.75
She needs 327 of these $3.75 lunches
So 327 times $3.75
= $1226.25
Trevor had 3/4 pound of peanut she wants to split them evenly among 4 people. How many pounds of peanuts would each person get?
A person rides a bike from home to a restaurant, eats a meal, and then rides home.
Which graph could represent this situation?
A.
Step-by-step explanation:
It is A because the person left, which would cause the distance to become greater, then ate a meal which would cause them to stop. Finally, the person went back home, which would cause the distance to decrease.
Answer:
a
Step-by-step explanation:
The relative frequency table below summarizes a survey about support for candidate X in an upcoming
national election. In this survey, 210 randomly selected Virginians opposed candidate X.
How many people in this survey were Californians who opposed candidate X?
Does the table show evidence of an association between being from Virginia and opposing candidate X?
Choose all answers that apply:
Answer:
D.
Step-by-step explanation:
a) no, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.
b) yes, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.
c) no, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.
d) yes, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.
The answer is D.
Step-by-step explanation:
Answer:
How many people in the survey were Californians?
- 250
Yes, because 50% of Californians support candidate X, but only 40% of all people support him.
Yes, because 62.5% of people who support candidate X and 50% of Californians do not support candidate X.
If I have 3 integers that are greater than -5, and less than or equal to 3. The median is -1, no Mode and range is 5, the mean is 0. Give the set of 3 numbers.
Answer:
{-2, -1 , 3}
Step-by-step explanation:
When we have a set like:
{x₁, x₂, x₃}
The mode is the value that appears the most, so if there is no mode, then each value appears just one time.
The median is the middle value, here we know that the median is -1, then we can rewrite the set as:
{x₁, -1 , x₃}
The mean is computed as:
Mean = (x₁ + x₂ + x₃)/3
in this case we know that the mean is 0, then:
0 = (x₁ + x₂ + x₃)/3
then the numerator must be zero, so:
0 = (x₁ + x₂ + x₃)
replacing the value of x₂ = -1 we get:
0 = (x₁ - 1 + x₃)
where:
-5 < x₁ < -1 < x₃ ≤ 3
Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.
here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).
then:
0 = x₁ - 1 + 3
Now we can solve this for x₁
0 = x₁ + 2
-2 = x₁
Then the set is:
{-2, -1 , 3}
