Answers
Sin(α)=Opposite/Hypotenuse
2. Then, SinA is:
SinA=BC/AC
A is the angle in the vertice "A".
BC is the opposite leg to the the angle A.
AC is the hypotenuse of the triangle.
3. By definition, you have:
Cosα=Adjacent/Hypotenuse
4. Then, CosC is:
CosC=BC/AC
C is the angle at the vertice "C".
BC is the adjacent leg to the angle C.
AC is the hypotenuse.
5. Therefore, the answer is the last option:
The equivalent to SinA is CosC
sin A=BC/AC
and
cos C=BC/AC
therefore
sin A= cos C
the answer is cos C
Related Questions
Find the perimeter of the figure. Round your answer to the nearest tenth.
a) 41 Units b) 34.2 Units c) 23 Units d) 11.2 Units
Answers
HELP please :)
A patient requires an IV of 0.9% saline solution, also known as normal saline solution. How much distilled water, to the nearest milliliter, must be added to 100 milliliters of a 6 % saline solution to produce normal saline?,
Answers
2/(100+x)=9/(1000)
2000=900+9x
1100=9x
122.22=x
x= 122
The answer is 122 milliliters of distilled water must be added
A store carries two different sizes of a certain brand of potato chips. bag 1 contains 8 ounces and costs $3.49. bag 2 contains 12 ounces, and costs $4.59. which bag has the lowest price per volume
Answers
P = (cost) / (volume of the bag)
For bag 1:
P1 = (cost) / (volume of the bag)
P1 = (3.49) / (8) = 0.43625 $
For bag 2:
P2 = (4.59) / (12) = 0.3825 $
We know that
P1> P2
Answer:
bag 2 has the lowest price per volume 0.3825 $
Bag 2, with a price of $0.3825 per ounce, has a lower price per volume compared to Bag 1, which has a price of $0.43625 per ounce.
To determine which bag of potato chips has the lowest price per volume, we need to calculate the price per ounce for each bag.
For Bag 1, it contains 8 ounces and costs $3.49, so the price per ounce is $3.49 / 8 ounces = $0.43625 per ounce.For Bag 2, it contains 12 ounces and costs $4.59, so the price per ounce is $4.59 / 12 ounces = $0.3825 per ounce.Comparing these values, we see that Bag 2 has the lower price per ounce at $0.3825 per ounce, making it the more economical choice per unit of volume.
The annual interest rate of Paul's savings account is 7.2%,and simple interest is calculated monthly. What is the periodic interest rate of Paul's account?
A. 0.9%
B. 0.6%
C. 0.4%
D. 1.8%
Answers
The periodic interest rate is found by dividing the annual interest rate by the number of times per year it is compounded.
7.5/12 = 0.625, rounded to 0.6.
Simplify -|-5 + 2|.
I'm not good with Math, can someone please help me how to Simplify, I have no clue to solving these questions that ask me to simplify, On my Online Schooling I wish to get better. Thanks for the time :)
Answers
The answer will be "-5+2".
Reason:
I These lines turn negative numbers into positive:
Therefore the answer will be -5+2 (since how the first - sign was outside of the I).
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
PLEASE HELP ASSSAAAAPPPP
Answers
[tex]f(x) = 5^x \\ f(2) = 5^2 = 25[/tex]
which of the following is an x-intercept of the function f(x)=x^2-25
A.-5
B.-20
C.-25
D.-15
Answers
Replace y with 0 in the equation. You get the following.
[tex]x^2-25=0[/tex]
Add both sides by 25
[tex]x^2=25[/tex]
Take the square root.
[tex]x= \pm \sqrt{25} [/tex]
[tex]= \pm 5[/tex]
This means that the x-intercepts are 5 and -5.
A is your answer.
The x-intercept of the function f(x) = x^ 2-25 is -5. The correct option is A.
What is the intercept function?A rational function's intercept is the location on its graph where it crosses either the x- or y-axis. When the independent variable is 0, use the intercept function to find the value of the dependent variable (zero).
For instance, if your data points were collected at room temperature and above, you can use the intercept function to forecast a metal's electrical resistance at 0°C.
The x-intercept of a function is when the y-value is 0.
Replace y with 0 in the equation. You get the following.
[tex]x^2 - 25 = 0[/tex]
Add 25 to both sides
[tex]x^2 = 25[/tex]
Take the square root.
[tex]x = - \sqrt{25}[/tex]
[tex]x = -5[/tex]
Therefore, the correct option is A. -5.
To learn more about the intercept function, refer to the link:
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Kite ABCD has a longer diagonal AC with a length of 14 in. and a shorter diagonal BD with a length of 8 in. The diagonals intersect at point E. What is the length of BE?
4 in
7 in
8 in
14 in
Answers
The longer diagonal is an axis of symmetry of the Kite.
So E is the middle of BD and BE=8/2=4
Answer A: 4in.
Can someone help me with this word problem?
Answers
for part B the angle of depression can be found using the trigonometric function of tangent.
tan x = 40/130
tan^-1 (tan x) = tan^-1 (40/30)
x = 17 degrees
I hope i am right
Use the quadratic formula to solve x^2+8x+9=0
What are the solutions to the equation?
Round irrational solutions to the nearest tenth.
x=−1 and x=−8
x = 1 and x=−9
x=−6.6 and x=−1.4
x=−1.2 and x=−6.8
Please explain the answer!
Answers
Solve for x over the real numbers:
x^2 + 8 x + 9 = 0
x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2
sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2
(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)
(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:
Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________
Solve for x:
x^2 + 8 x + 9 = 0
Subtract 9 from both sides:
x^2 + 8 x = -9
Add 16 to both sides:
x^2 + 8 x + 16 = 7
Write the left hand side as a square:
(x + 4)^2 = 7
Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)
Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)
Subtract 4 from both sides:
Answer: x = sqrt(7) - 4 or x = -4 - sqrt(7)
An isosceles triangle has perimeter T and sides of length x, x, and y. Which of the following represents x in terms of T and y? (10 POINTS + BRAINLIEST ANSWER)
A. x = T - y
B. x = T - 2y
C. x = T - 2y/2
D. x = T - y/2
Answers
the correct answer is C. x = (T - 2y) / 2.
To find the value of x in terms of T (the perimeter) and y for an isosceles triangle with two sides of length x and one side of length y, we use the fact that the perimeter is the sum of all three sides. The equation representing the perimeter of the triangle is T = x + x + y, which simplifies to T = 2x + y. To solve for x, we rearrange the equation to x = (T - y) / 2. Therefore, the correct answer is C. x = (T - 2y) / 2.
The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.
Answers
Please note that odd numbers differs by 2...1,3,5,7,9etc....
If the first odd integer Is x
The next(consecutive one) = x+2
The third = (x+2)+2 = x+4
The fourth one = (x+4)+2 = x+6..
The sum of all this equals to - 72 that is......
x+x+2+x+4+x+6 =-72
4x+12 = - 72
4x=-72-12
4x=-84
x=-84/4
x= -21...
x+2 = - 21+2 = -19
x+4 = -21+4 = -17
x+6 = -21+6 = -15
Those number have been highlighted above..
Hope this helped....
Answer: n + n+2 + n+4 + n +6 = 4n + 12 = -72 4n = -84 n = -21 -21,-19,-17 and -15
A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes.
What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?
a.0.08889
b.0.17778
c.0.16667
d.0.33333
Answers
The approximate probability of randomly choosing one vegetable and one grain-based side dish is: d. 0.33333
Explanation
Vegetable side dishes = 3, Fruit side dishes = 2 and Grain-based side dishes = 5
So, total number of side dishes [tex]= 3+2+5= 10[/tex]
Number of ways for choosing two side dishes from total 10 dishes will be : [tex]^1^0C_{2}[/tex]
We need to randomly choose one vegetable and one grain-based side dish, so the number of ways [tex]= ^3C_{1} * ^5C_{1}[/tex]
Thus, the probability [tex]= \frac{^3C_{1} * ^5C_{1}}{^1^0C_{2}} = \frac{3*5}{45}= \frac{15}{45}= \frac{1}{3}= 0.3333...[/tex]
Answer:
D. 0.33333
Step-by-step explanation:
in the second picture, i have included a picture of the theorem that this question is based upon.
Answers
You are finding the product of two square roots. Each radicand is the same variable raised to an odd power. Explain why you would want to multiply the radicands together first and then simplify the product.
Answers
Then the square root (even root/radicand) can be taken eliminating the radicand.
Here's an example to show you what I mean, so you can put it in your own words if you want.
[tex] \sqrt{ x^{3} } * \sqrt{ x^{7} } = \sqrt{ x^{10} } = x^{5} [/tex]
describe the graph of y={1/(2x-10)}-3 compared to the graph of y=1/x
Answers
[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}[/tex]
[tex]\bf ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]
with that template in mind, let's check these two
[tex]\bf \stackrel{parent}{y=\cfrac{1}{x}}\qquad \qquad\qquad \qquad \stackrel{transformed}{y=\cfrac{1}{\stackrel{B}{2}x\stackrel{C}{-10}}\stackrel{D}{-3}}\\\\ -------------------------------\\\\ B=2\qquad \textit{shrinks horizontally by }\frac{1}{2} \\\\\\ C=-10\qquad \cfrac{C}{B}=\cfrac{-10}{2}\implies -5\qquad \textit{horizontally right-shifted by }5 \\\\\\ D=-3\qquad \textit{vertically down-shifted by }3[/tex]
Carlos ran 3/8 of the race course. Lori ran 3/6 of the same race. Who ran further? Explain.
Answers
A 16 foot ladder is leaning against a 10 foot wall. How far away from the building should the bottom of the ladder be placed
Answers
Which parent function has a graph that is located in Quadrants I and III?
A. reciprocal
B. quadratic
C. exponential
D. square root
Answers
An reciprocal function, as for instance
[tex]f(x) = \frac{1}{x} [/tex]
is located in the Quadrants I and III.
A <<<< answer.
What is the solution to the equation 5x = 40?
7
8
45
200
Answers
40 divided by 5 = 8.
To check we can do 5 x 8 = 40.
X = 8
5x/5=40/5
next, simply dived 40 by 5 which is 8, x=8
Quadratic Equations Solve for x. x2+2=102 Enter the solutions for the equation in the boxes.
Answers
X= 10, and -10
The given quadratic equation is :
[tex] x^{2}+2=102 [/tex]
We have to solve the given quadratic equation for the value of 'x'.
[tex] x^{2}+2=102 [/tex]
[tex] x^{2}=102-2 [/tex]
[tex] x^{2}=100 [/tex]
[tex] x=\sqrt{100} [/tex]
x= [tex] \pm 10 [/tex]
So, the value of 'x' in the given quadratic equation are 10 and -10.
2.3,
12
5
,
5
2
, 2.2,
21
10
least to greatest
Answers
When constructing a regular hexagon inscribed in a circle, what is the measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle?
Answers
Answer:
Measure of angle is 60°
Step-by-step explanation:
Given when constructing a regular hexagon inscribed in a circle, we have to measure an angle formed by any two adjacent vertices of the hexagon and the center of the circle.
we have to find the measure of central angle of hexagon
Total measure of angle at centre is 360°
As polygon is given regular hexagon therefore central angle divides into six equal angles.
Hence, measure of an angle formed by any two adjacent vertices of the hexagon and the center of the circle is
[tex]\frac{\text{Total angle at centre}}{\text{number of sides}}=\frac{360}{6}=60^{\circ}[/tex]
what is the scale factor of ABC to UVW
Answers
It's a scale factor of 5 because,
5*5=25
5*3=15
5*4=20
Hope this helps!
Answer:
C. 5
Step-by-step explanation:
We have been given an image of two triangles. We are asked to find the scale factor of ABC to UVW.
To find the scale factor of our given triangles, we will divide one side of triangle UVW by its corresponding side of triangle ABC.
[tex]\text{Original side}\times\text{Scale factor}=\text{New side}[/tex]
[tex]5\times\text{Scale factor}=25[/tex]
Upon dividing both sides of equation by 5, we will get:
[tex]\frac{5\times\text{Scale factor}}{5}=\frac{25}{5}[/tex]
[tex]\text{Scale factor}=5[/tex]
Therefore, the scale factor of triangle ABC to triangle UVW is 5 and option C is the correct choice.
A railroad crew can lay 7 miles of track each day. they need to lay 189 miles of track. 17 day how many miles. How many day to lay all the track
Answers
Given that a crew can lay 7 miles of railroad track a day, it would take them a total of 27 days to lay 189 miles of railroad track.
Explanation:The subject of this question is the calculation of the number of days it would take for a railroad crew to lay a specified number of miles of track. Given that the crew can lay 7 miles of track each day, and they need to lay a total of 189 miles of track.
To determine the total number of days required, we would divide the total miles by the miles the crew can lay each day.
So, 189 miles ÷ 7 miles/day = 27 days. Therefore, it would take the railroad crew a total of 27 days to lay all the track.
Learn more about Calculating Time here:https://brainly.com/question/20416068
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PLEASE HELP ME WITH THIS....
BRAINLIEST AVAILABLE
Answers
Answer A
[tex]V= \dfrac{ \pi *r^2*h}{3} \\\\ 3*V= \pi *r^2*h\\\\ \boxed{ \dfrac{3*V}{\pi*r^2}=h }[/tex]
A hybrid car averages 600 miles on a 12.9 gallon tank of gas. Manuel is planning a 1240-mile vacation in his hybrid car. Find how many gallons of gas he can expect to burn.
Answers
amount of gas used up - 12.9 gallons
therefore when he travels 600 miles he uses up 12.9 gallons
for every mile the amount of gas used up - 12.9 gallons / 600 miles = 0.0215 gallons / mile
therefore 0.0215 gallons used up per mile
so when he's going for 1240 miles - gas used up is 0.0215 gallons/ mile x 1240 miles = 26.66 gallons
amount of gas needed is 26.66 gallons
Answer:
26.66 gallon of gas
Step-by-step explanation:
A car uses 12.9 gallons of gas for travelling 600 miles
For travelling one mile , the car will use gas = 12.9 gallon of gas/600 miles
= 0.0215 gallon of gas /mile
For travelling 1240 miles, gallon of gas required =
= 0.0215 gallon of gas /mile x 1240 miles
= 26.66 gallon of gas
helpppppppppppppppppppppppppppppppppppppppppppp
Answers
they want 20 characters n stuff but if you want me to show work or whatever i can
----------------
Multiply each side by 4
4 * x/4 ≥ -8 * 4
x ≥ -32
Please help does anyone know the answer Giving 20pts I need ASAP
Answers
That is because x, 67, and 52 make a straight line, hence, they will equal to 180.
So if you subtract the sum of 67 and 52 from 180 you'll get the value of x.
(12 + 5) + 32 × (10 − 5) =
Answers
177 hope this helps
[tex]17 + 32 \times 5 = [/tex]
[tex]17 + 160 = [/tex]
[tex]177[/tex]
So the answer is 177.