Answer:
39.59
Step-by-step explanation:
Just took the quiz
The value of x in the given diagram is 39.59 units.
Correct option is (E).
What is Trigonometry?The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc). Trigonometry can be used to solve problems in surveying, engineering, and navigation where one of a right triangle's acute angles and one side's length are known but the lengths of the other sides need to be computed.
As per the given diagram:
The length of the perpendicular (P) = 27 units
Base angle = 43°
x is the hypotenuse.
To find the value of x we can use the trigonometric ratios given in the question.
sinθ = P/H
Where H is the hypotenuse, P the perpendicular and θ the base angle.
sin(43°) = 27/x
0.682 = 27/x
x = 27/0.682
x = 39.59 units
Hence, the value of x in the given diagram is 39.59 units.
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Find the x-intercept and y-intercept
from the following linear equation:
D x + 4y = -56
x-intercept ([?],[]).
y-intercept (I):[])
Step-by-step explanation:
x intercept is when y = 0 and y intercept is when x = 0 hence, x intercept is : x = -56 hence (-56, 0) and y intercept is: 4y = -56 y = -14 hence (0, -14)
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
See below I have take a picture of the screen
I Need help please!!!
The fastest pizza box folder can assemble 7 pizzas in 25 seconds. At this rate, how long would it take to assemble 21 pizza boxes
Answer:
50 seconds in order to assemble 20 pizza boxes
Step-by-step explanation:
there are two ways to solve this the first way is divide 20 by 2 which is 10 and then multiply 10 by 5 the reason to this is because we know that for every 2 it takes 5 seconds.
the second way takes longer but you write:
2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
so here were basically writing the number 2 10 times because when u count that u can see that it equals 20 and then since for every 2 boxes it takes 5 seconds u put the 5 under each 2 so then you would count the 5s, like 5, 10 15, 20... and so on and u will see that its 50 which means 50 seconds.
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
PLEASE HELP. WORTH 25 POINTS. PICTURE BELOW
Answer:
y = 5
x = 14
Step-by-step explanation:
AOC=25
AOL=90
Therefore COL = 65
COM is a 90 degree angle since MOD is 90 degrees
COM - COL = 90 - 65 = 25
5y = 25
y=5
LOB = 90
5y + 3x + 23 = 90
5(5) + 3x +23 = 90
25 + 3x + 23 = 90
48 + 3x = 90
3x= 90 - 48
3x = 42
x= 14
Answer:
x = 14, y = 5
Step-by-step explanation:
MOB = LOC
(3x + 23) + 25 = 90
3x + 23 = 65
3x = 42
x = 14
3(14)+23 + 5y = 90°
5y = 25
y = 5
PLEASE HELP 15 POINTS...PLEASE HELP
Answer:
Slope: -1/4, y-intercept: -2.
Step-by-step explanation:
The line intersects the y-axis at -2. This means that the y-intercept is -2. The slope is -1/4 because since the slope is rise over run, you go up one and then to the left 4 from the y-intercept. When you do this you see that from both A to B, you will end up on the same line.
Hope this helps!
Answer:
C
Step-by-step explanation:
slope = -1/4
y-intercept = -2
Can someone help me out
Answer:
it is D
(1.5-6)/-2-4 =0.75
There were 12 girls on the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of the girls on the team that scored over 10 points in the game? Explain how you got your answer.
Answer:
1/4
Step-by-step explanation:
The total number of girls on the team is 12
3 scored over 10 points
The fraction scoring over 10 points will be 3/12 = 1/4
The answer was obtained by dividing the number of girls who scored over 10 points by the total number of girls on the team
We then proceeded to write our answer in a fraction form
Answer:
1/4.
Step-by-step explanation
Since 3 of them scored over 10 points in the game, and there were 12 girls. You have to divide 12 by 3, which equals 1/4.
7 3 = 14 h − 7 2
Answer:
10.357
Step-by-step explanation:
h=145 =10.357
14
hope this helps:)
Tomb trees are standing side-by-side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree cast an 18 foot shadow what is the length in feet of the shadow of the shorter tree
Answer: Length of shorter tree = 7.2 feet .
Step-by-step explanation:
Given : Height of two trees as 50 feet and 20 feet.
At same time the angle made by sun rays would be same for both trees.
Both trees are vertical to the ground making right angle so triangles made by both triangles must be similar.
Corresponding sides of similar triangles are proportional.
So [tex]\dfrac{\text{length of the shadow of the shorter tree}}{\text{height of shorter tree}}=\dfrac{\text{length of the shadow of the bigger tree}}{\text{height of bigger tree}}\\\\=\dfrac{\text{length of the shadow of the shorter tree}}{20}=\dfrac{18}{50}\\\\\Rightarrow\ \text{length of the shadow of the shorter tree}=\dfrac{18}{50}\times20\\\\\Rightarrow\ \text{length of the shadow of the shorter tree} = 7.2[/tex]
So, Length of shorter tree = 7.2 feet .
Simplify this expression.
2(10) + 2(x – 4)
explain your steps. will give brainliest for right answers.
Answer:
12 + 2x OR 2x + 12
Step-by-step explanation:
2(10) + 2(x - 4)
Distribute;
20 + 2x - 8
Collect like terms;
12 + 2x OR 2x + 12
How far from the door must a ramp begin in order to rise 3 feet with an 8 degree angle of elevation
Answer:
Step-by-step explanation:
We know that the angle of elevation is 8 degrees.
We know that the height of the opposite side of the angle is 3 feet.
We want to know the adjacent side (the side from the start of the ramp to the bottom of the opposite side)
We can do this with tangent
[tex]tan(8) = \frac{3}{adj} \\adj = \frac{3}{tan(8)} \\adj = 21.34611 feet[/tex]
The distance between the ramp and the door can be calculated using the principle of Pythagoras, Hence, the distance should be 21.34 feets
Angle of elevation = 8°Rise = opposite = 3 feets Distance, d = adjacentUsing SOHCAHTOA :
Tanθ = Opposite / Adjacent
Tan(8°) = 3 / d
0.1405408 = 3 / d
0.1405408d = 3
Divide both sides by 0.1405408 to isolate d
0.1405408d / 0.1405408 = 3 / 0.1405408
d = 21.34 feets
Therefore, the distance of the ramp from the door should be 21.34 feets
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Plz Help guys with this question please!!!
Michael is paid by the hour and gets overtime (OT) for every hour over 40.Last week he worked 52 hours. How many hours of OT did he get?*
A. 38
B. 92.
C. 26
D. 12
Answer:
12
Step-by-step explanation:
52 minus 40
tell whether this sequence is arithmatic. If it is, what is the common difference. 10, 15, 21, 28
Answer:
No this is not arithmetic this is geometric
Step-by-step explanation:
10 to 15 is a increase of 5
15 to 21 is a increase of 6
21 to 28 is a increase of 7 arithmetic have to have steady increases
Answer:
Hola!
Step-by-step explanation:
someone plsssssss help me with this
Answer:
99 ÷ 9 equal 11
Step-by-step explanation:
99 ÷ 9 = 11. yeah
Identify the key components and write an inequality for each graph:
Answer:
b= (0,3)
m= 2/3
inequality= y < 2/3x+3
Step-by-step explanation:
b is the y-intercept. the way to find the y-intercept is looking where the line ends up on the y line. m is the slope. the trick to finding the slope is to choose two points and go up then go to the side where the point is. it forms a triangle. count how much it went up and how much you went to the side. then make it rise over run. the inequality works that way since y is 2/3 of x.
Find the value y from the given figure
Answer:y=28
Step-by-step explanation:
40+3y+2y=180
Subtract 40
3y+2y=140
Combine like terms
5y=140
Divide
y=28
Brainliest % stars Thanks Correct answers Fast
Answer:
I remember taking this it should be A
Step-by-step explanation:
PLZZZZ HELP ME!!!!! factor 15x + 81
Answer: 3(5x+27)
Step-by-step explanation:
15 and 81 are both divisible by 3.
Answer:
-5.4
Step-by-step explanation:
x= -81/15= -5.4
QUICK ANSWER PLEASE
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.
Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.
What is NS?
5 cm
10 cm
20 cm
30 cm
BRO CAN SOMEONE HELP PLEASE THIS HARD HELP I NEED THIS IN THE NEXT FEW MINS Ali deposits her weekly paycheck of $412.60 and withdraws $40 cash from her bank account each week. If her starting balance was $315.85, what is her balance after 3 weeks?
Answer: 1433.65
Step-by-step explanation:
315.83+412.60 +412.60 +412.60 -40 -40 -40= 1433.65
Hi everyone 20 point giveaway!
Would you rather be allergic to chocolate or you have to be broke for the rest of your life?
I will be doing more giveaways, stay tuned!
Answer:
Allergic to chocolate
Step-by-step explanation:
I don't really eat chocolate that much lol.
Answer:
Well i think i would rather be alergic to chocolate
Step-by-step explanation:
I really need help with something please help i will give you a site that you can chat people on the first answer gets it.
50x50=
Answer:
2500
Step-by-step explanation:
Answer:
2,500
Step-by-step explanation:
50x50=2,500
The easiest way to figure this out is to multiply 5x5 and then add the two zeros to the end.
Hope this helps you! Have a great day C:
Does anyone know what to put? I need help
Answer:
P'(3, - 3 )
Step-by-step explanation:
Given
M(- 3, 4 ) → M'(- 1, - 1 )
To obtain the image 2 is added to the x- coordinate and 5 is subtracted from the y- coordinate, that is
Translation rule is
(x, y ) → (x + 2, y - 5 ), thus
P(1, 2 ) → P'(1 +2, 2 - 5 ) → P'(3, - 3 )
The first side of a triangle is 8 inches shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 44 inches. What is the length of the longest side?
Answer:
i think it's 12 if i did that correctly lmk if it's wrong.
Step-by-step explanation:
Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours
Answer:
he ran 9 miles in 6 hours
Step-by-step explanation:
trust me
pls mark me as brainliest
can you tell me the answer please?
Answer:
This graph is not a function.
Step-by-step explanation:
For every x value, it has more than one y value. The graph also doesn't pass the vertical line test.
Answer:
Not a function
Step-by-step explanation:
It fails the vertical line test. 2 points can not cross on this test
PLEASE ANSWER ASAP WILL GIVE BRAINLEIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which solution will create a proportional relationship for the following proportion?
4/r 5/20
A. r= 16
B. r= 5
C. r= 10
D. r=20
Answer:
r = 16
Step-by-step explanation:
Cross multiply:
4 x 20 = r x 5
Simplifying
4 x 20 = r x 5
Multiply 4 x 20
80 = r x 5
Reorder the terms for easier multiplication:
80 = 5r
Solve
80 = 5r
Solve for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5r' to each side of the equation.
80 + -5r = 5r + -5r
Combine like terms: 5r + -5r = 0
80 + -5r = 0
Add '-80' to each side of the equation.
80 + -80 + -5r = 0 + -80
Combine like terms: 80 + -80 = 0
0 + -5r = 0 + -80
-5r = 0 + -80
Combine like terms: 0 + -80 = -80
-5r = -80
Divide each side by '-5'.
r = 16
Simplify
r = 16
In the given figure lines AB and CD intersect
ato. If angle AOC + angle BOE = 70 and angle DOB
=40°, find angle BOE and reflex angle EOC.
Answer:
reflex angle EOC = 250°
Step-by-step explanation:
reflex angle EOC
= angle COA + angle DOA + angle DOB + angle BOE
angle DOB = 40° (given)
angle DOB + angle DOA = 180° (linear pair)
angle DOA = 180° - 40°
angle DOA = 140°
angle COA + angle DOA = 180° (linear pair)
angle COA = 180° - 140°
angle COA = 40°
angle COA + angle BOE = 70° (given)
angle BOE = 70° - 40°
angle BOE = 30°
Now,
we have,
reflex angle EOC = 40° + 140° + 40° + 30°
= 250°