Answers
The length of the base of the right triangle is x = 15. So the correct option is A.
Describe Trigonometric Ratio?Trigonometric ratios are mathematical functions that relate the angles and sides of a right-angled triangle. The three primary trigonometric ratios are the sine, cosine, and tangent, which are abbreviated as sin, cos, and tan, respectively.
The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. It is denoted by sin(theta) = opposite/hypotenuse.
The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is denoted by cos(theta) = adjacent/hypotenuse.
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is denoted by tan(theta) = opposite/adjacent.
We can use the trigonometric ratio for the tangent of an angle in a right triangle:
tan(angle) = opposite / adjacent
where "opposite" is the length of the side opposite to the angle, "adjacent" is the length of the side adjacent to the angle, and "angle" is the measure of the angle in degrees.
In the given right triangle, the angle between the hypotenuse and the base is 45 degrees. This means that the other acute angle in the triangle is also 45 degrees, making it an isosceles right triangle. Therefore, the opposite and adjacent sides to the 45 degree angle have the same length, which we can call x.
Using the tangent of 45 degrees and the value of the hypotenuse, we can set up the equation:
tan(45) = x / x = 1
Simplifying this equation, we get:
x = hypotenuse = 15
Therefore, the length of the base of the right triangle is x = 15.
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Related Questions
Mark has some money in his wallet. He was paid $8 for for working for an hour and then had a total of $15. How much money did he have in his wallet before working?
show your work
Answers
15 - 8 = 7
We subtract the 8 dollars that he earned for working from the 15 dollars that he had in the end to find what he had at first.
find the value of each variable
x =
y=
Answers
Answer:
x=9
y=[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
This is a special type of triangle known as a 45-45-90 triangle.
The ratio for the sides of this triangle are x:x:x[tex]\sqrt{2}[/tex]
Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.
The hypotenuse, however, is the value of one side multiplied by [tex]\sqrt{2}[/tex].
In this case it is 9, so 9*[tex]\sqrt{2}[/tex] = [tex]9\sqrt{2}[/tex]
Oliver earns $45 per week mowing lawns in his
neighborhood. Which expression can be used to
show how much money he earns in 8 weeks??
A. (8 x 40) + (8 x 5)
B. (8 x 40) x (8+5)
C. (8 + 40) x (8 + 5)
D. (8 + 40) + (8 x 5)
Answers
A
Explanation
(8 x 40) + (8 x 5) is the same as 8 x 45
what is 3 1/2 x 1 1/2 x 2
Answers
Answer:
[tex]\frac{77}{2}[/tex] or 38 [tex]\frac{1}{2}[/tex]
What is the value of
7p + 9/3
when p= 6 and q= 12?
Answers
Is the question 7p+q/3 ?!
Then the answer is 138/3
Because 7*6 + 12/3
42+12/3
LCM is 3
126/3 + 12/3
= 138/3
Answer:
45
Step-by-step explanation:
I don't understand this.
Answers
Answer:
Me too i cant understand
Step-by-step explanation:
ba bay
There are a 11 of birds on a fence between person named ben had the license to hunt animals he shot one bird how many would there be and also how many was there?
Answers
Answer:
ZeroStep-by-step explanation:
Because the rest of the birds will fly away from the fence.
This scale drawing shows a.reduction in a figure what is the value of X
Answers
Answer:
x = 2.25
Step-by-step explanation:
8:6
So, 8/6 = 4/3 or 1.33333333 (decimal multiplier)
Therefore, 8 divided by 4/3 = 6.
Then, we could also do 3 divided by 4/3= 9/4 or 2.25.
2.25 x 4/3 = 3.
Answer:
x = 2.25
setting up proportionality:
[tex]\rightarrow \sf \dfrac{8}{3} = \dfrac{6}{x}[/tex]
[tex]\rightarrow \sf 8x = 18[/tex]
[tex]\rightarrow \sf x = \dfrac{18}{8}[/tex]
[tex]\rightarrow \sf x = 2.25[/tex]
on a map 3 cm represents 60 km. what is the constant of proportionality
Answers
One centimeter is equivalent to twenty kilometers
If 100 people have a certain disease out of 7,800,000,000 people. Then what percentage of the people have that disease
Answers
Answer:
b = 100 * 100
7.8
= 10000
7.8
= 50000
39
= 1282.05128%
Step-by-step explanation:
If the length of the base of both triangles measures 80 inches, what is the length of the kite’s shorter diagonal? 30 inches 39 inches 10 StartRoot 39 EndRoot inches 10 StartRoot 11 EndRoot inches.
Answers
The length of kite’s shorter diagonal is 39 inches.
What is a KiteA kite is a quadrilateral (has four sides and four angles) in which adjacent sides are congruent and the diagonal bisect at 90 degrees.
Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches. Hence half the length of the base = 80/2 = 40. The base = diagonal = 80 inches
Using Pythagoras:
41² = d₁² + 40²
d₁ = 9 inches
Also:
50² = d₂² + 40²
d₂ = 30 inches
Length of diagonal = 9 + 30 = 39 inches
The length of kite’s shorter diagonal is 39 inches.
Find out more on Kite at: https://brainly.com/question/25776644
Answer:
they are correct ^
Step-by-step explanation:
Susan makes 8 dollars for each hour of work. Write a equation of her total pay after working hours
Answers
I’m not sure if that’s right but that’s how I would do it.
11.44 plus O.7 eqalls
Answers
Answer:
12.14
Step-by-step explanation:
because if 11.44 id added to .7 we add a zero to point .7. .70
11.44
+ .70
12.14
Answer:
12.14
Step-by-step explanation: Because if you add 0.7 to 0.44 then you get 1.14, then you add 1.14 to 11 you get 12.14
The radius r in feet of a spherical water tank can be determined by using the formula
Answers
PLEASE HELP!!!
50 POINTS
Only answer if you know
Answers
Your answer is below;
[RevyBreeze]
Find the area of the shaded region.
The area of the shaded region is _ (Simplify your answer.)
Answers
Answer:
15x-36
Step-by-step explanation:
let's simply get the area of the larger square, and then get the area of the smaller square and subtract the area of the smaller square from that of the larger square, what's leftover is the shaded region.
[tex]\stackrel{\textit{area of the larger square}}{(4x-6)(4x-6)\implies \stackrel{F~O~I~L}{16x^2-48x+36}} ~\hfill \stackrel{\textit{area of the smaller square}}{(x)(x)\implies x^2} \\\\[-0.35em] ~\dotfill\\\\ (16x^2-48x+36)~~ - ~~(x^2)\implies 15x^2-48x+36 \\\\\\ 3(5x^2-16x+12) \implies 3(5x-6)(x-2)[/tex]
Solve for O sin(x) tan(x)= sin(x)
Answers
Answer:
[tex] \frac{\pi}{4}, \: \frac{5\pi}{4}[/tex]
Step-by-step explanation:
[tex] \sin(x).\tan(x) = \sin(x) \\ \\ \implies \tan(x) = \frac{\sin(x) }{\sin(x)} \\ \\ \implies \tan(x) = 1 \\ (\because\:0\leq x\leq 2\pi) \\\\ \implies \tan(x) = \tan \frac{\pi}{4} \: or \: \tan(x) = \tan \bigg(\pi + \frac{\pi}{4} \bigg) \\ \\ \implies x = \frac{\pi}{4} \: or \: x = \frac{5\pi}{4} \\ \\ \huge{\purple{x = \frac{\pi}{4}, \: \frac{5\pi}{4}}}[/tex]
Below are two regular polygons. Calculate the value of angle a.
Answers
1/4 = 8/k HELP! WILL GIVE BRAINLIST IF CORRECT ANSWER SND CORRECT FORMAT
Answers
Answer:
I think 32 because 32/4=8
Step-by-step explanation:
Bobby bought c pieces of candy that
cost $0.65 each and h bags of chips that
cost $0.95 each. Write an expression
that represents how much he spent. .
Answers
Answer:
0.65c + 0.95h
Step-by-step explanation:
For every 'c' pieces of candy it will cost 0.65
For every 'h' bag of chips it will cost 0.95.
Pls explain this question for me
100/7
Answers
Answer:
100/7 --> 50/3.5 --> 25/1.75 . If we're assuming, without a calculator, we can just say 1.75 ~ 2. So 25/2 = 12.5 as an approx .
But actually, 100/7 -- with no assumptions etc, is just 14.28571429
ill give the brainliest to the correct and the best explained answer :))
Answers
Answer:
20 m
Step-by-step explanation:
Using the Pythagorean Theorem,
a² + b² = c²
c² = (16)² + (12)²
= 256 + 144
= 400
c =√400
c = 20 m
Solution:
Given:
Length of rectangle = 16 mBreadth of rectangle = 12 mSolve using Pythagoras theorem:
c (Diagonal)² = 12² + 16²=> c² = 144 + 256=> c² = 400=> c = √400 = 20 myea just someone help me please and thank you.
Answers
Answer:
Use protractor to measure the X thanks me later
My answer is 33° use protractor to confirm it
#Carryonlearning
its a right angle which is 90 degrees. subtract 90 from 57 and you get 33 degrees.
sorry if it's wrong lol
Solve the system of equations using substitution
3x – 2y = 3 –4x + y = 6
(X,Y)= (? ,?)
Answers
Step-by-step explanation:
I hope this helps.........
Answer:
(-3,-6)
Step-by-step explanation:
Help please!
On a certain multiple choice test, you receive 8 marks for every
question you get right, but lose 5 marks for every question you get
wrong. Josh answered all 150 questions on the test but received only 485 marks. How
many questions did he answer correctly?
Answers
Answer:
he got 95 questions correct and 55questios wrong.
Step-by-step explanation:
i hope this will help
Krista is measuring plants for science class. She finds a leaf that is 5 inches long and a stick that is 7 inches long. How many inches longer is the stick than the leaf?
Answers
Answer:
2 inches
Step-by-step explanation:
7inches - 5 inches = 2 inches
Hope this helps!
Lines AB and CD are parallel. Determine the measures of the three angles in the diagram
Answers
Answer:
Step-by-step explanation:
Can someone please help? The teacher didn’t explain us this part.
Answers
Answer:
With ratio's you would be comparing two different numbers. So RS and AB ratio is 18:24, which could be divided by 6 to simplify to 3:4
Step-by-step explanation:
Simplify.
- 1/2x - 1/5 - 5x + 3/10 + 3/2x
Answers
Answer:
-4x+1/10
Step-by-step explanation:
Factor out common term X X(-1/2-5+3/2)-1/5+3/10
Simplify=-4x-1/5+3/10
-1/5+3/10=1/10
-4x+1/10
please solve the question
Answers
Answer:
x/2 + y√3/2 = 4
Step-by-step explanation:
Step 1: Apply formula
Formula for this problem is :-
xcosα + ysinα = p
Step 2: Substitute values
xcos(60°) + ysin(60°) = 4
x(1/2) + y(√3/2) = 4
x/2 + y√3/2 = 4
Hope it helps.
;)
<3
