Answer:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
[tex]\cos Y= \frac{YZ}{XY}[/tex]
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y
For angle Y:
[tex]Opposite = XZ[/tex]
[tex]Adjacent = YZ[/tex]
[tex]Hypotenuse = XY[/tex]
The [tex]\sin[/tex] of an angle is calculated as:
[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]
So:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
The [tex]\cos[/tex] of an angle is calculated as:
[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]
So:
[tex]\cos Y= \frac{YZ}{XY}[/tex]
The [tex]\tan[/tex] of an angle is calculated as:
[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]
So:
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Answer:
C, short answer
Step-by-step explanation:
trust
Find the missing side of this right triangle.
Answer:
13
Step-by-step explanation:
it's a 5,12,13 triangle
and we can find the sides by Pythagorean theorem:
a^2 + b^2 = root of c
25 + 144 = 169
root of 169 = 13
Solve the equation 7= -108 – 3.
Answer:
s=-1
Step-by-step explanation:
A = 6x – 2
B = 4x + 48
Answer:
X=25
angle A=148
Step-by-step explanation:
since they are alternating angles
A=B
6x-2=4X+48
solve for X
6x-4x=48+2
2x=50
X=25
angle A= 148
Answer:
148
Step-by-step explanation:
I got it right on khan
Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?
Answer:
one solution
x = 12
Step-by-step explanation:
3 (x-1) = 2x + 9
3x - 3 = 2x + 9
subtract 2x from each side of the equation:
x - 3 = 9
add 3 to each side:
x = 12
Step-by-step explanation:
3x-3=2x+9
3x-2x=9+3
x=12
only one solution
A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
speed of the plane.
Answer:
The speed of the plane is [tex]v=1.2\: m/s[/tex]
Step-by-step explanation:
The vector (5,6) represents a point in the coordinate system time-position.
So, we have that at t = 5 s the position is x = 6.
Let's recall that the slope of this vector is the speed, then using the tangent definition:
[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]
[tex]v=1.2\: m/s[/tex]
I hope it helps you!
Hellohello, if you able to help me then please do. (:
Answer:
The answer is D.
Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!
Answer:
d) a+b
Step-by-step explanation:
For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).
(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)
So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer
Help me with this!!!
Answer:
yes
Step-by-step explanation:
if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B
Answer:
6
Step-by-step explanation:
because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry
diagram not drawn to scale
please helppp
Answer:
144?
Step-by-step explanation:
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
Meg and Theo each thought of five numbers. Meg's first number was 0, and so was Theo's. Meg added 2 each time to get her other numbers, and Theo added 4 each time. Which statement correctly compares Theo and Meg'snumbers? A Each of Theo's numbers is 2 more than Meg's corresponding number, because Theo adds 2 more than Meg to get the next number. B Each of Theo's numbers is half of Meg's corresponding number, because Theo adds half as much as Meg to get the next number. C Each of Theo's numbers is 4 more than Meg's corresponding number, because Theo adds 4 each time to get the next number. D Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Answer:
D. Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Step-by-step explanation:
Meg = 0, 2, 4, 6, 8
Theo = 0, 4, 8, 12, 16
Second number of Theo is 4 which is double of 2 (Meg second number)
This applies to the third, fourth and fifth number of Theo
Therefore,
Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
Learn more about Exponential growth rate, click;
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Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
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PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
3x = -6у + 3
2y = -x+1
Answer:
3x = -6у + 3 and 2y = -x+1 are the same
i dont know what the question is but this should help. they are the same line on a graph
Step-by-step explanation:
3x = -6y + 3
2y = -x + 1 adding x on both sides and subtracting 2y on both sides
x = -2y + 1 multiply by 3
3x = -6y + 3
PLEASE HELP IM DESPRATE AND I CANT GET IT
Answer:
1
Step-by-step explanation:
1. 1
if you find -4 on the x-axis, the y value is 1.
what is the 3rd page?
tell whether the slope is positive or negative. then find the slope.
Answer:
slope is negative
m=-1
Step-by-step explanation:
the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.
yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)
that means that the slope of this line must be negative
We can calculate the slope (m) with this formula:
(y2-y1)/(x2-x1)
we can pick two points- for example, (1,3) and (2,2)
label the points:
x1=1
y1=3
x2=2
y2=2
now substitute into the equation
m=(2-3)/(2-1)
m=-1/1
m=-1
the slope is -1
Hope this helps! :)
select the correct answer. one of the factors of the polynomial x^3+5x^2+6x is (x^2+3x). what is the other factor?
Answer:
x(x+2)(x+3)
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation:
Please help! In the diagram below, lines l and k are parallel.
What is the measure, in degrees, of ∠ABC ?
Answer:
50
Step-by-step explanation:
x+95 = 4x-10 ( alternate angles)
or, 4x -x = 95+10
or, 3x = 105
x= 35
x+95 = 35+95 = 130
130 + ABC = 180 ( linear pair)
or, ABC = 180-130= 50
Please help me figure this out
Find the slope of the line. Write your answer in simplest form.
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
Question 1: To enter their home, the Cepeda family types in a 4 digit
code. How many codes are possible? *
40
10
1,000
10,000
So the first digit could be 0-9.
second is the same 0-9
And the 3rd 0-9 and lastly the 4th 0-9
There is a [tex]\frac{1}{10} *\frac{1}{10} *\frac{1}{10}* \frac{1}{10}[/tex] chance that they will get it right by guessing.
So that means a [tex]\frac{1}{10000}[/tex] chance that they will get it right.
So their are 10000 possible codes.
simplify by pulling out the GCF from the numerator and the dominator? 6/8
Answer:
3/4
Step-by-step explanation:
The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2
Help!
This is for Patterns, Functions, and Algebra!
Answer:
C.
Step-by-step explanation:
The answer is C
7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?
Answer:
Tom weighs 5 times as much as Nicholas
Step-by-step explanation:
To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:
Tom's weight = 168.5 pounds
Nicholas' weight = 33.7 pounds
Dividing both weights = 168.5 ÷ 33.7 = 5
∴ Tom weighs 5 times as much as Nicholas
The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2
Answer:
Option (4)
Step-by-step explanation:
Input values are always represented by the x values and output values of a function is represented by f(x).
From the table given,
Values under x column are the input values and values under f(x) or gx) column are the output values.
From both the tables, common output values for the same input value (x = 1) are,
f(1) = 3
g(1) = 3
Therefore, Option (4) is the answer.
The input value that produces the same output value for both functions is: D. x = 1
What is a Function?A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.
In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).
Thus, [tex]f(1) = g(1) = 3[/tex]
Therefore, the input value that produces the same output value for both functions is: D. x = 1
Learn more about a function on:
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Write the number in 2 equivalent forms as a fraction, decimal, or percent.0.40
Answer:
2/5 or 40%
Step-by-step explanation:
.40 is 40 hundredths or 40/100
40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5
Percentages are fractions out of 100 so 40/100 would be 40%.
Solve for the x.
Assume the segments that appear to be tangent are tangent.
4.5 i think im really not sure check with someone else before answering
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720