use the picture to write each ratio as a simplified fraction (how are you going to find the length of the third side?) show your thinking
Answers
Answer:
See belowStep-by-step explanation:
to figure out the ratios we must figure out the length of hypotenuse first to do so we can consider Pythagoras theorem given by
[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] \displaystyle \implies c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
substitute:
[tex] \displaystyle c = \sqrt{ {12}^{2} + {9}^{2} } [/tex]
simplify squares:
[tex] \displaystyle c = \sqrt{ 225 } [/tex]
simplify square root:
[tex] \displaystyle c = 15[/tex]
now recall that,
[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex][tex] \displaystyle\cos( \theta) = \frac{adj}{hypo} [/tex][tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]the ratios with respect to angle w given by
[tex] \displaystyle \sin( W) = \frac{12}{15} = \frac{4}{5} [/tex][tex] \displaystyle \cos(W) = \frac{9}{15} = \frac{3}{5} [/tex][tex] \displaystyle \tan( W) = \frac{12}{9} = \frac{4}{3} [/tex]the following ratio with respect to angle X
[tex] \displaystyle \sin(X) = \frac{9}{15} = \frac{3}{5} [/tex][tex] \displaystyle \cos(X) = \frac{12}{15} = \frac{4}{5} [/tex][tex] \displaystyle \tan( X) = \frac{9}{12} = \frac{3}{4} [/tex]Related Questions
Complete the table for the relationship shown in the graph
Answers
Answer:
where ?
Step-by-step explanation:
where is the question to solve ?
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. How is the amount of money Michelle spent shopping represented?
Answers
Answer:
-45
Step-by-step explanation:
We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.
Our keyword is "spent" and "fourty-five". These determine how much money is being taken away or added.
Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being -45
Answer:
$117
Step-by-step explanation:
184+38=222
222-45=117
each month Leo makes copies of a budget report. when he uses both the large and small printer the job takes 30 minutes. if the small printer is broken it takes him 50 minutes. how long would the job take if the large printer were to break?
Answers
His job will take 75 minutes long
Find the 93rd term of the arithmetic sequence -6,13,32...
Answers
Answer:
1742
Step-by-step explanation:
I am of the belief this is the right answer according to the arithmetic calculator.
PLEASE HELP IF YOU KNOW HOW TO EXPLAIN
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Answer:
cos Q = 28/53
Step-by-step explanation:
cosine = CAH
= Adjacent / Hypotenuse
adjacent length 25 and hypotenuse is 53
hope this helps!
flat family roof on goformative answer
Answers
The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?
Answers
Answer:
1)3 2)86
Step-by-step explanation:
3h+77=SA AND 92-2h=MB
3h+77=92-2h
-77. = -77
3h= 15-2h
+2h=+2h
5h=15
H=3
f(x) = 3^x-9. find the inverse of f(x). ASAP I NEED HELP LAST QUESTION AND 15 MINS LEFT
Answers
Answer:
A
Step-by-step explanation:
Given :
f(x) = ³√[ x - 9 ]And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.
So that ,
[tex]:\implies[/tex] f(x) = y
[tex]:\implies[/tex] y = ³√[ x - 9 ]
[tex]:\implies[/tex] x = ³√[ y - 9 ]
[tex]:\implies[/tex] x³ = y - 9
[tex]:\implies[/tex] y = x³ + 9
[tex]:\implies[/tex] f-¹(x) = x³ + 9
Hence option A is correct .
Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?
Answers
Most of the time when you try to find a missing length of a right triangle you use Pythagorean theorem. Pythagorean theorem is A squared plus B squared equals C squared. C squared is always going to be the longest length/diagonal line otherwise known as your hypotenuse. In this case the ladder is the hypotenuse. So instead of adding five squared +20 squared you’re going to square 20 and then subtract five squared to get the missing length which would be B squared and then you have to find the square root of B squared. So 20 squared is 4000. 5squared is 25 400-25 = 375 square root of 375 is about 19.4.
P(blue) someone plz help me
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can someone please help me with this???
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A- When one variable increases the other variable decreases. :)
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
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Answer:
35.00 degrees
Step-by-step explanation:
please help me ASAP!!
Answers
Answer:
The answer is sqrt of 64
Step-by-step explanation:
What is the answer if you factor 5x^2+15x-20
Answers
Which of the following statements accurately describes the expression x+5/x^2-2
A. The product of x+5 and X2-2
B. The quotient of x2 -2 and x+5
C. The quotient of x+5 and x2 - 2
D. The product of x2 -2 and x+5
Answers
Answer:
It is C.
Step-by-step explanation:
the division sign indicates it is evidently going to be B or C. Then it's just simple knowledge.
The statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]= \rm \dfrac{x+5}{x^2-2}[/tex]
We can write the above expression as follows:
= (x + 5) ÷ (x² - 2)
The above expression is not in the product.
The quotient of x+5 and x² - 2
Thus, the statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ5
Mandy the elephant weighs 7,390 lbs her baby luna weighs 1492 how many more pounds does mandy weigh than luna
Answers
Answer:
5898
Step-by-step explanation:
7,390 - 1,492 = 5898
A random sample of US adults revealed that approximately 68% own their own home. In this same sample, 52% of the respondents had completed some additional form of education following high school (trade or technical school, 2-year or 4-year college, military training, etc.). Finally, 44% of respondents had completed some additional form of education following high school and owned their own home.
Given that a randomly selected adult from the survey has completed some additional form of education following high school, what is the probability that the person is a homeowner?
a. 0.44
b. 0.647
c. 0.765
d. 0.846
Answers
Answer:
D) 0.846
Step-by-step explanation:
Edge 2021
Answer:
0.846
Step-by-step explanation:
just got it right
an event that cannot happen is
a certain
b possible
c impossible
Answers
certain and possible are things that will or could potentially happen
HELP ILL GIVE BRAINLIEST
Answers
Answer:
c
Step-by-step explanation:
how to solve x^2-4x=-12
Answers
x = 6 and x = -2
Step-by-step explanation:
Put the 12 to the other side
x^2 - 4x - 12 = 0
Now factor this out:
(x - 6)(x + 2) = 0
Therefore, the roots of this equation are
x = 6 and x = -2
On average, the moon is 384,400 kilometers from the Earth. How is this distance written in
scientific notation?
A. 0.3844 x 10^-6
B. 3.844 x 10^-5
C. 3.844 10^5
D. 0.3844 x 10^6
Answers
Answer:
C
Step-by-step explanation:
hope this helps with the work
In need of help it’s due in an hour!! I’ll give brainliest to the best answer
Please and thx
Answers
20.
[tex] \sqrt{ {(0 - 4)}^{2} + {(4 - 7)}^{2} } = 5[/tex]
-6x² + 8x + 10is in what form?
A)Standard
B)Linear
C)Vertex
D)Parent
Answers
Step-by-step explanation:
The given quadratic equation is in standard form.
How do I solve these problem?
Answers
Answer:
- 199
Step-by-step explanation:
7.
a1 = 25
d = - 16
15th term is t15.
Formula : -
an = a + ( n - 1 )d
t15
= 25 + ( 15 - 1 ) - 16
= 25 + 14 ( - 16 )
= 25 + ( - 224 )
= 25 - 224
= - 199
There are 12 girls on the soccer team. That is 3 times the number of boys on the team.
How many boys are on the team?
Answers
Answer:
4 boys
Step-by-step explanation:
[tex]\frac{1}{3} :\frac{y}{12}[/tex]
3 × y = 1 × 12
3y = 12
3y ÷ 3 = 12 ÷ 3
y = 4
If Lexi’s dog can roller skate at 7 miles per hour for three hours, how many miles is he skating?
Answers
Answer:
343 miles per hour.
Step-by-step explanation:
It is easy all you have to do is 7^3
I Hope This Helps You!!
Noah pagó $28 por los jeans después de usar el cupón. Cuál es el precio regular de el par de jeans?
La respuesta correcta es$40
Explique aquí como y porqué $40 es la respuesta
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i need help solving this math problem from my practice work
Answers
Find the length of side a.
Answers
Answer:
12
Step-by-step explanation:
The Pythagorean Theorem says that in a right triangle, [tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex], so in this triangle, the legs are 5 and a; the hypotenuse is 13.
[tex]5^2+a^2=13^2\\25+a^2=169\\a^2=144\\a=\sqrt{144}\\a=12[/tex]
Ashley and matt each purchase one raffle ticket. If a total of 13 raffle tickets are sold and two winners will be selected,what is the probability that both ashley and matt win?
Answers
Answer:
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.