Answers
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
7)
now decide which parts we know and what we want to slove for and pick the function that has those in it
we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180
180 = 75 + 90 + X
15° = X
where x is the angle at that sharp point on the triangle
I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA since it's got all of those in it. Opp = x for this triangle
Tan(15) = Opp / 15
15* Tan(15) = Opp
4.0192 = Opp
so that's x
x = 4.0162 units , what ever they are
8)
the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic CAH since it's got those pieces in it
Cos(43)= 31 / Hyp
some algebra just to switch Hyp out of the denominator
Hyp = 31 / Cos(43)
some tapping on my calculator
Hyp = 41.714
That's x for the second triangle
x = 41.71 units , what ever they are
:)
Related Questions
solve for the variable. -2x + 6 = 14
Answers
Answer:
Step-by-step explanation:
-2x + 6 = 14
-2x = 8
x = -4
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
To solve for the variable x, we're going to isolate it.
First step is: Subtracting 6 by both sides:
[tex]-2x+6-6=14-6\\[/tex]
Notice how the +6 and the -6 cancel each other out. So we get:
[tex]-2x=8[/tex]
Second step is to divide both sides by -2:
[tex]\frac{-2}{-2} x=\frac{8}{-2}[/tex]
The -2's cancel each other out to:
[tex]x=-4[/tex]
what is the answer to this math question 5 less than c is 47
Answers
47+5
Hddhhfhdhd
Answer:
Answer = 52
5+47= 52
done
−5+6×52+56÷(−8) pllllll
Answers
Answer:
Its 300.
hope this helps:)
Answer:
3
Step-by-step explanation:
I tried 300 and i got it wrong but instead it gave me this answer :)
You want to order one milkshake. The Ice Cream Shop will not allow you to mix flavors. How many ways could you order a milkshake?
Answers
Answer:
15 ways
Step-by-step explanation:
3 sizes x 5 flavors = 15 combinations
Answer:
15
Step-by-step explanation:
if you can make 3 sizes for each flavor and there are 5 flavors then there are 15 ways to get a milkshake 3x5=15
. There are 258,890,850 number combinations possible in the Mega Millions lottery. One winning jackpot ticket will be chosen at random. Brent chooses his favorite number combination and buys one ticket. Find the probability Brent will win the jackpot. Round the decimal to the first digit that is not zero, then write the name of the decimal.
Answers
Answer:
0.000000004 = 4 hundred millionths probability Brent will win the jackpot.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
1 desired combination out of 258,890,850. So
[tex]p = \frac{1}{258890850} = 0.000000004[/tex]
9 places after the decimal point is hundred millionths
0.000000004 = 4 hundred millionths probability Brent will win the jackpot.
help i need the answers by tomorrow
Answers
8 inch radius:
area: 200.96
circum: 50.25
12 yd rad:
area: 452.16
circum:75.36
20 ft dia:
area: 314
circum:62.8
36 dia:
area:1017.36
circum: 113.04
what is taxation ?...maths literacy grade 12
Answers
The financial officer is promoting a short-term investment with 9% return on any deposit
over $999. Tammy invest $1,800 and earns $486. How long did she invest her
money?
Answers
Answer:44
Step-by-step explanation:
Evaluate the following expression -5+(63/9)
Answers
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
What type of auto coverage is required by nearly every state in the country?
Answers
Answer: Minimum car insurance limits in each state
Step-by-step explanation: With the exception of Florida, every state requires bodily injury liability insurance (BI), while all 50 states plus Washington, D.C., require property damage liability (PD). Roughly half of the states require a type of uninsured/underinsured motorist insurance (UIM). hope this helps. Can u give me brainliest
9(p-4)=-18 what does p equals ?
Answers
9(p-4)=-18
9p-36=-18
+36 +36
9p= 18
/9 /9
p=2
Hope this helps! May i please have brainliest?
Find q. q-89=121 q= please help
Answers
Answer: q=210
Step-by-step explanation:
For this question you have to do the inverse to 'undo' the equation.
So, instead of taking away 89 you have to add it to 121.
q=121+89
q=210
Hope this helps :)
OMG PLEASE HELP MEEEEEEEEEEEEEEE
1.2 + 2.6 × 1.4 − 3.9
A) −5.3
B) 0.94
C) 1.42
D) 8.74
Answers
1.2+3.64-3.9
B) 0.94
Answer:
c
Step-by-step explanation:
1.2+2.6=3.8
3.8×1.4=5.32
5.32-3.90=1.42
PLS ANSWER THANK YOU!!
Answers
Answer:
I think it is 145 degrees because 180- 35= 145
Step-by-step explanation:
Can someone please help
Answers
Emma invested $750 in an account paying an interest rate of 1.9% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $910?
Answers
Answer:
10.2
Step-by-step explanation:
The B of years it took to the given principal to amount $910 is 3.4 years.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, principal =$750, rate of interest =1.9% and amount=$910.
Let the number of years be x and compounded quarterly.
Here, 910=750(1+ 1.9/100)³ˣ
910/750 =(1+0.019)³ˣ
1.213=(1.019)³ˣ
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x=ln(1.213)/3ln(1.019)
Decimal Form: 3.419
≈ 3.4 years
Therefore, the number of years it took to principal to reach $910 is 3.4 years.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
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A system of inequalities is shown below.
y < -1
2x - y < 2
In which quadrants is the solution set of the system?
Answers
Answer:
C
I may be wrong sorry if I am
Answer:
The answer is C
Step-by-step explanation:
Since they both have a negative y and Quardant 4 has a positive x
Jenna has a maximum of $38 to spend at the movies. A ticket costs
$8.50 and she has x, dollars to spend on snacks. Which inequality
represents all of the possible values for x?
A. x ≥ 29.50
B. x ≤ 46.50
C. x ≥ 46.50
D. x ≤ 29.50
Answers
Why?
Because 37-8= 29.5
And you have a max of 29.5 to spend
You can spend 29.5 dollars or less (because that is the max)
9. Find the mean of the data set: 2, 3, 4, 5, 5
Step 1:
Add up all the numbers.
Step 2:
Divide by the number of items
in your data set.
Answers
Answer: Step 1 box= 19 (2+3+4+5+5)
Step 2 box= 3.8 (19 divided by 5)
Step-by-step explanation:
You add together the numbers to get 19, the you divide the number by five because you added 5 numbers together.
You had it just right on the bottom. Your equation was perfect. It doesn't matter if you get a decimal number.
Your answers are right too, I double checked.
Hope I was helpful.
A line passes through the point (-8, -4) and has a slope of 5/2. Write and equation in slope intercept form for this line.
Answers
Answer:
i know this isn't the answer but this should help...
Step-by-step explanation:
Describe the transformations of f(x) when compared to the parent function [y = x2].
f(x) = x2+5
Answers
Horizontal Shift: Right 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up
Transformation of functions
Transformation of function is transforming a function from one form to another form .
Rules of transformation :f(x)-> f(x)+a , f(x) will be moved 'a' units up
f(x)-> f(x)-a , f(x) will be moved 'a' units down
f(x)-> f(x-a) , f(x) will be moved 'a' units right
f(x)-> f(x+a) , f(x) will be moved 'a' units left
f(x)-> -f(x), f(x) will be reflected across x-axis
f(x)-> f(-x), f(x) will be reflected across y-axis
For quadratic, the parent function is [tex]f(x)=x^2[/tex]
Given that [tex]f(x)=x^2+5[/tex]
Here , 5 is added with f(x) at the end
f(x)-> f(x)+a , f(x) will be moved 'a' units up
[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]
The graph of f(x) will be move 5 units up
the transformations of f(x) when compared to the parent function is the graph is moved 5 units up
Learn more about transformation here:
brainly.com/question/17586310
Which equation will let you solve for jk
cos[63] = jk/8
Tan [63]= jk/8
Sin[63]=jk/8
Tan[63]= 8/jk
Answers
In a right triangle, the ratio of the opposite side of one angle to the hypotenuse is called sine.
In this problem the side JK is the opposite side of angle JLK whose value is 63 degrees. The hypotenuse is JL whose value is 8.
So the sine ratio of angle JLK would be
sin L=JK/JL
Substituting the numerical values,
sin 63°=JK/8
This implies JK=sin 63°×8 from wich we will get the value of JK
So, this equation sin 63°=JK/8 will let us solve for jk and the answer is the third one.
Answer:
C
Step-by-step explanation:
For what value(s) of k will the relation not be a function?
#1: A = {(k^2, 16), (4k, 32)}
#2: B = {(k^2-5k, 10), (k+7, 4)}
#3: R = {(k^3-5k^2+3k, -5), (-k, 4)}
#4: S = {(|k+1|+2, 4), (8, 7)}
Will give 100 points and Brainliest!
Answers
Answer:
See belowStep-by-step explanation:
The relation is not a function when x -value is same but y- values are different.
#1
k^2 = 4kk = 0, k = 4#2
k^2 - 5k = k + 7k^2 - 6k = 7k^2 - 6k + 9 = 16k - 3 = 4 ⇒ k = 7k - 3 = -4 ⇒ k = -1#3
k^3 - 5k^2 + 3k = -kk^3 - 5k^2 + 4k = 0k(k^2 - 5k + 4) = 0k = 0, k = 1, k = 4#4
|k + 1| + 2 = 8|k + 1| = 6k = 5, k = -7find the value of each of the four remaining trigonometric functions
Answers
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]
x²-12x+a=(x+b)² find a and b
Answers
Answer:
Step-by-step explanation:
x² - 12x + a = (x + b)²
x² - 12x + a = x² + 2xb + b²
-12 = 2b and a = b²
b = -6
a = b² = 36
The value of a is 36 and b = -6.
What is the quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of: ax² + bx + c = 0.
The given expression is;
[tex]\rm x^2-12x+a=(x+b)^2[/tex]
The solution of the equation is determined in the folllowing steps given below.
[tex]\rm x^2-12x+a=(x+b)^2\\\\x^2-12x+a=x^2+2xb+b^2\\\\2xb + b^2 = a-12x[/tex]
On comparing the equation
[tex]\rm 2b =-12\\\\b =\dfrac{-12}{2}\\\\b=-6[/tex]
The value of a is;
[tex]\rm a=b^2\\\\b=-6\\\\a=(-6)^2\\\\a=36[/tex]
Hence, the value of a is 36 and b = -6.
Learn more about equation here;
https://brainly.com/question/15339001
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Graph the line with the slope 1 passing through the point (-2,-1)
Answers
Answer:
Step-by-step explanation:
In isosceles triangle WXY, XY is 13 inches in length and WY is 10 inches. What is the length of XZ? answer asap please
Answers
=============================================================
Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
-----------------------------------
Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
given. Round
The first three terms of a sequence are
to the nearest thousandth (if necessary).
1 , 5/4 , 25/16 find the 7th term.
Answers
Answer:
[tex] \frac{15625}{4096} [/tex]
what is F (x) = -x^2 - 10x f= (−5)
Answers
Answer:
75
Step-by-step explanation:
f(x)=-x^2-10x
f(-5)=(-5)^2-10(-5)
f(-5)=(-5)(-5)+50
f(-5)=25+50
f(-5)=75
simplify the following 6(1/2+1/3)
Answers
Answer:
5
Step-by-step explanation:
use the distributive property
6 * 1/2 = 3
6 * 1/3 = 2
3 + 2 = 5
Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!
-Lil G
