Find the indicated side of the triangle.
b
45°
a
28
[?]
a =
... need help asap!!
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Answers
Answer:
[tex] a = \frac{28}{ \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] \sin \: 45 \degree = \frac{a}{28} \\ \\ \frac{1}{ \sqrt{2} } = \frac{a}{28} \\ \\ a = \frac{28}{ \sqrt{2} } [/tex]
The side of "a" of right angled triangle is [tex]\frac{28}{\sqrt{2} }[/tex] .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
In right angle Δ
Hypotenuse = 28
Base for ∠45° = b
Perpendicular for ∠45° = a
now , Using trigonometric ratio
sin θ [tex]= \frac{Perpendicular}{Hypotenuse }[/tex]
sin 45° = [tex]= \frac{a}{28}[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{a}{28}[/tex]
a = [tex]\frac{28}{\sqrt{2} }[/tex]
Hence, side of "a" of right angled triangle is [tex]\frac{28}{\sqrt{2} }[/tex] .
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Related Questions
50 points! Look at the picture attached. I will mark brainliest
Answers
Answer:
Step-by-step explanation:
The small triangle is similar to the triangular face. Its side edges are half the length of the side edges of the face, so its base is half the length of the face.
2*58 ft = 116 ft
The length of the base of the pyramid is 116 ft.
Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?
f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power
f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power
f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power
f(x)=−23,540(0.95)x
Answers
The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.
The depreciation rate =
A = P(1-r)ⁿ
Where, A = amount final
P = initial amount
r = rate and n = number of the years
Therefore,
The depreciation rate =
f(x) = 23540(1-0.05)ˣ
f(x) = 23540(0.95)ˣ
Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
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Part 1:
Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.
Part 2:
If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item.
Answers
Answer:
Part 1 : y = 0.75x
Part 2 : $750
Step-by-step explanation:
Part 1
Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.
Let y be the sales price of the tv and x its regular price. Since its sales price = regular price - discount, and our discount is 25% of the sales price, that is 0.25x, we have
sales price = regular price - discount
y = x - 0.25x
y = 0.75x
Part 2: If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item
Since the sales price, y = 0.75x,and x = regular price = $1000,
substituting x into y, we have
y = 0.75x
y = 0.75($1000)
y = $750
solve 3(2x + 1) in standard form
Answers
= 6x +3
Hope this helps!! :)
Answer:
3(2x+1)= 6x+3
Step-by-step explanation:
Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3
I need help with this math problem on get more math the photo is at the top
Answers
Answer:
30
Step-by-step explanation:
6x5=30 Just took the test and got 100%
Please help me with those questions
Answers
Hope it helps!
If you have any questions, comment!
Have a nice day or night:)
Wilson's brother earns $185 each month working an after-school job. What is the total amount of money he will earn after
working for 12 months?
Answers
So your answer is $2,220
what os the best description pf addititon property of equality
Answers
Answer:
The use of the addition property of equality is sound, and the answer is correct
Step-by-step explanation:
Addition Property of Equality
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
Hope this helps; have a great day!
Todd works a different amount of hours each week. If he earns $46.56 for 8 hours of work,
how much will he earn for 23 hours of work?
Answer: $
Answers
Answer:
should be $133.86
Step-by-step explanation:
46.56 divided by 8 to get money per hour, then multiplied by 23 to get money earned after 23 hours
The Adams family bought a small piece of land in the hill country. The plot is in the shape of a rectangle and measures about 50 yards by 41 yards. What is the area of the plot?
Answers
Given:
The dimensions of a rectangular plot are 50 yards by 41 yards.
To find:
The area of the plot.
Solution:
We know that, the area of a rectangle is
[tex]Area=Length\times width[/tex]
So, the area of the rectangular plot is:
[tex]Area=50\times 41[/tex]
[tex]Area=2050[/tex]
Therefore, the area of the rectangular plot is 2050 square yards.
Plsss help this is hard for me
Answers
Area is 153.94 the formula is A= nr to the power of two
help !! I can't figure this question out.
Answers
Answer:
C And D!
Step-by-step explanation:
Answer: I think it’s A (x + 4 = 14) I’m not sure though
which of the following equations is quadratic?
A. x( x² + 1) = 0
B. 5(4x + 2) = 3
C. (x + 3)(x + 4) = 5
Answers
A teacher wants to determine how to sit 30 students in a classroom.
What simulation can be used determine where the students sit?
A
A coin is used and assigned for every two students.
B
A six-sided number cube and every 6 students are assigned
a side.
С
A random number generator where each student is assigned a number.
D
A standard deck of cards is used and students are assigned to the cards.
Answers
Answer:
I think C. because that will be easier and less chaotic
what does -5 3/4 -3 1/2 equal
Answers
Answer:
Step-by-step explanation:
-9 1/4 is the aswer
Its due today plz help me out
Find the value of X?
Answers
Answer:
168
Step-by-step explanation:
the angles of a hexagon should add us to 720, subtract all teh given angles from the total and you find x.
3) Slope = 4, passing through (-1,5)
Slope
Answers
explanation using point grade formula y
1
)
=
m
(
x
−
x
1
)
where
(
x
1
,
y
1
)
is
(
4
,
5
)
(
y
−
5
)
=
−
4
(
x
−
4
)
y
−
5
=
−
4
x
+
16
4
x
+
y
−
21
=
0
pleae answer this fast asap
Answers
Answer:
I think its (2, 1) .
Step-by-step explanation:
the 2 represents the x axis
the 1 represents the y axis
A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
Answers
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
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please help asap.1-5.
Answers
2) n/-7
3)y+(-4)
4)add +8 to the right side
5) divide 5 from the right side
Sry if some on them are wrong
Is it, A, B, C, Or D?
Answers
Answer:
C
Step-by-step explanation:
6(2m+5n)
12m+30n
Jacob had multiplied 6 to 2m right which is 12m but multiplied 6 and 5n wrong as he thought it was 11n yet it is 30n.
JLK ~ PQR Find the value of x.
Answers
Answer:
12
Step-by-step explanation:
if their similar then find the proportion with a cross multiplication equation
x/36 = 13/39
x*39 = 36*13
39x = 468
x = 468/39
x = 12
Answer:
x = 12
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{JL}{PQ}[/tex] = [tex]\frac{JK}{PR}[/tex] , substitute values
[tex]\frac{x}{36}[/tex] = [tex]\frac{15}{45}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3x = 36 ( divide both sides by 3 )
x = 12
C'mon people! For the function g(x) = 2x2 – 19, what is the difference quotient?
A. 2h; h ≠ 0
B. 2x + 2h; h ≠ 0
C. 4x + 2h; h ≠ 0
D. 4x + 2h – 19; h ≠ 0
Answers
Answer:
C. 4x + 2h; h ≠ 0
Step-by-step explanation:
Step-by-step explanation:
A 2-column table with 6 rows. Column 1 is labeled x with entries 1.99, 1.999, 1.9999, 2.0001, 2.001, 2.01. Column 2 is labeled f (x) with entries 0.505, negative 0.827, 0.306, negative 0.306, 0.827, negative 0.506.
Find Limit of f (x) as x approaches 2 f(x), if it exists.
2
0.3
0
DNE
If x and y vary inversely and x = 1 when y = 11, find x when y = 5.5.
Answers
Answer:
x = 2.
Step-by-step explanation:
y = k/x
11 = k/1
so k = 11
y = 11/x
When y = 5.5:
5.5 = 11/ x
x = 11/5.5
= 2.
The values of x and y vary inversely, if the value of y is 5.5 then the value of x will be equal to 2.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the information provided in the question,
y = k/x
11 = k/1
k = 11
y = 11/x
If y = 5.5,
5.5 = 11/ x
x = 11/5.5
x = 2.
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Find the length of side x in the simplest radical form with a rational denominator.
Answers
Answer:4.243
Step-by-step explanation:https://www.omnicalculator.com/math/right-triangle-side-angle?c=USD&v=given:0,angle_beta1:45!deg,b1:3!inch
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.
Answers
Answer:
Sue = 18-x
Tony = (18+x)/2
Step-by-step explanation:
Sue donates x amount of sweets
Tony receives x amount of sweets then eats half of them.
PLEASE HELP ASAP PLEASE
Answers
Answer:
288 cm^3
Step-by-step explanation:
Alex, x, saved 30 dollars and Ethan saved 1
3
more than that.
Ethan saved _______________ dollars
Answers
Can someone please help me with math.
Answers
Answer:
13.C
14.C
Step-by-step explanation:
Hello There!
For 13
The question is asking, which percentage would Darian most likely receive if he had studied for 9 hours.
The line of best fit would be used to determine the percentage he would most likely score based on the amount of hours he studied
Looking at the line of best fit we notice that at 9 hours Darian would most likely score a 78% on the test
Thus the answer is C
For 14
The question want you to find the graph that has a constant rate of change and has a y intercept of (0,0) so essentially
The question is asking "which graph best represents a proportional relationship."
If a relation is proportional it would have a straight line and it would go through the origin (0,0)
Looking at C we notice that the line is straight ( meaning it has a constant rate of change) and it also goes through the origin therefore C is your answer
PLS HELP ASAP IN LIKE 1 MINUTE
A shopping bag contains 18 red potatoes and 12 white potatoes. You choose one potato from the bag without looking. Calculate P(~white potato).
Answers
Answer:
2/5
Step-by-step explanation:
Red potato: 18
White potato: 12
Combined: 30
Probability of white potato:
12/30
2/5