The value of x in the triangle is approximately 7.2 to the nearest tenth.
To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).
We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
tan(46°) = x/7
Take the tangent of both sides of the equation:
tan(46°) = x/7
Multiply both sides by 7 to isolate x:
7 x tan(46°) = x
Use a calculator to find the tangent of 46 degrees:
tan(46°) ≈ 1.0355
Multiply 7 by the approximate value of the tangent:
7 x 1.0355 ≈ 7.249
Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.
Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.
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The value of x to the nearest tenth is approximately 5.0.
To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.
The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.
Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.
sin(A) = C / B
sin(46°) = x / 7
To find the value of x, we can rearrange the equation:
x = 7 * sin(46°)
Using a calculator, we can evaluate sin(46°) and calculate the value of x:
x ≈ 7 * 0.7193
x ≈ 5.0351
for such more question on right triangle
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Please help me please I really need help please help me
Answer:
See attached
Step-by-step explanation:
See reflected image in the attached picture
Line n intersects lines 1 and m, forming the angles
shown in the diagram below.
(6x + 42)
18x - 12)
Which value of x would prove ! || m?
1) 2.5
2) 4.5
3) 6.25
4) 8.75
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)
7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.
Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]
It is filled with [tex]\frac{3}{5}[/tex] of the height
Water present in the container
[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]
Also, [tex]1\ L=1000\ cm^3[/tex]
[tex]\therefore 18,000\ cm^3=18\ L[/tex]
Now, half of the water is poured out
So, half is left
[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]
Thus, 9 L of water is left in the container
12. The variable in the expression 9x + 63 is ? * A. =
B. 9
C. x
D. 36
Answer:
C. x is the variable
Step-by-step explanation:
easy...
PLEASE HELP!!! WILL GIVE BRAINLIEST
Given:
Angle 1 = 90 (An)
Angle 2= 45 (An)
Angle 3 = 36 (An)
Angle 4 = 50 (An)
Angle 5 = 20 (An)
The half-life of a radioactive kind of antimony is 60 days. If you start with 720 grams of it, how much will be left after 180 days?
Susan collected 89 stickers for 28 weeks. How many stickers did she collect in total round off your answer to the nearest hundred answer for free
Answer:
2500 ( nearest hundred)
Step-by-step explanation:
Given that :
Number of stickers collected per week = 89
Number of weeks for which stickers were being collected = 28
To obtain the total number of stickers collected, we take the product of the number of weeks for which the stickers were beug vcilled and the number of stickers collected per week
The number of stickers collected :
89 * 28 = 2492
2492 = 2500 ( nearest hundred)
Code: (B+C) - (D+A)
Help me it’s a puzzle
Answer:
-A+B+C-D or B+C-D-A
Step-by-step explanation:
Simplify the expression
what is the minus 60 plus 40 =x plus y= x+9
60+40=x
y=x+9
MInus
x=100
y=109
Diffrence 9
Answer:
x = -20
y = -11
Which equation has a greater rate of change than the linear function in the table?
х
-5
-3
у
-18
-8
1
12
3
22
A
y = 5х – 3
B
y = -4x – 18
С
y = -3.2 + 2
D
y = 6x + 13
I’m just confused help!
Answer:
Step-by-step explanation:
180
The ratio of boys to girls in a volleyball club was 6: 8. There were 36 boys.
How many girls were there in the club?
Answer:
Might be wrong but 27. Hope this helps
Answer:
48 girls!
Step-by-step explanation:
boys = 6x
girls = 8x
6x = 36
x = 36/6 = 6
girls = 8x = 8 x 6 = 48
I hope im right!
What is the mean of the following data set: 100, 121, 105, 113, 108
Answer:
Mean = 109.4
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (100 + 121 + 105 + 113 + 108)/(5)
Mean = (547)/5
Mean = 109.4
Answer:
109
Step-by-step explanation:
Mean is just finding the average of the data set.
100+121+105+113+108=547, first add up all the numbers
547/5=109.4, then divide that sum by the amount of numbers in the set
Yani buys 4 dozen flyers for $7.25. What is
the cost of 12 dozen?
helppp now plz
Answer:
$21.75
Step-by-step explanation:
Divide $7.25 by 4 then multiply what you get from that by 12
Help me. :) :) :) :)
Option D
...................
Answer:
A prism reflecting light in straight lines.
Step-by-step explanation:
Prisms don't focus light nor diffract. They reflect. I don't think prisms reflect light into wavelengths either. Also, as you can see the rays of light are reflecting in straight lines. Therefore, the prism is reflecting light in straight lines.
What is the value of cose in the diagram below?
a)3/5
b)3/4
c)4/5
d)4/3
Translate this sentence into an equation. 53 is the sum of 10 and Malik's savings. Use the variable m to represent Malik's savings.
Answer:
m+10=53
Step-by-step explanation:
maliks savings=43
what is the volume of a cylinder with a length of 6 inches and a width of 5 inches?
Which equation has the same solution as x2 + 16x – 11 = 4?
Answer:
x^2 + 16x - 15 = 0.
Step-by-step explanation:
x^2 + 16x – 11 = 4 Subtract 4 from both sides:
x^2 + 16x - 15 = 0 is one equation with the same roots.
Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:
3x^2 + 48x - 45 = 0.
What’s the answer???? Need help y’all!
Answer:
D. HFE is congruent to FHG
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Congruency.
Since here the congruency satisfied is SAS (side-angle-side)
hence the correct option is
D.) ∆HFE =~ ∆FHG
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
2. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and not put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
Thank you.
Answer:
1. 0.0469 (4.d.p)
2. 0.05
Step-by-step explanation:
1. First we'll find the probability of drawing a blue marble.
P = (No. favourable events)/(Total events)
In this case it's:
P = (No. blue marbles)/(Total Marbles)
Therefore P(Blue) = 4/16 = 0.25
Now we find the probability of drawing a yellow marble:
The total number will be the same because the blue marble will have been put back.
P(Yellow) = 3/16 = 0.1875
Now, since we are calculating the probability of both happening we multiply together the two individual probabilities to get the combined probability of both:
0.25 x 0.1875 = 0.0469 (4.d.p)
2. The probability of drawing a blue marble is still the same so we can keep that: P(Blue) = 0.25
But this time, the marble is not replaced. This means that the total number of marbles has changed when drawing the yellow marble:
P(Yellow) = 3/15 = 0.2
Now we multiply them together again to find the combined probability of both happening:
0.25 x 0.2 = 0.05
Hope this helped!
Evaluate:
12×2.4×2.4×7=
Answer:
483.84
Step-by-step explanation:
Answer:
483.84
Step-by-step explanation:
Suppose you take 340 mg of a certain medication.
The amount of medication in your body decreases by 32% per hour.
Write a function for M(h), the number of milligrams of the medication in your body after h hours
Answer:
m= 340 × 0.68h
Step-by-step explanation:
Given that
You take 340 mg of the certain medication
And, the amount of medication would be reduced by 32% per hour
So we need to the find the function for M(h)
Here M denotes the milligrams
And, the h denotes the hours
So, the function would be
m = 340 × (1 - 0.32)h
m= 340 × 0.68h
The same would be considered and relevant
Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal
what is the probability of a blue jaybeing the next bird papa sees?
A. 0.421
B 0.59
C. 0.059
D. 0.042
The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building
Answer:
1114 ft
Step-by-step explanation:
tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answer:
rectangle
7x + 4 = 36/2
7x + 4 = 18
7x = 14
x = 2
there is no y
A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ feet
Answer:
72 ft
Step-by-step explanation:
Here, we want to get the maximum height the ball will reach
the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation
So we need firstly, the vertex of the given quadratic equation
The vertex can be obtained by the use of plot of the graph
By doing this, we have it that the vertex is at the point (3,72)
Thus, we can conclude that the maximum height the ball can reach is 72 ft
Hello struggling with this question. I need to know what are intervals in math. Please answer the question with the image.
Answer:
b
Step-by-step explanation:
When you see things that move at a non linear rate, it means that it is not a straight line. Automatically, you can eliminate A and D because the lines there between those numbers are straight. Now we have two non linear lines left and there is only one that is decreasing (going down and it is the line between -2 and 0.
Hope this helped :)
Pls help I will give branlist answer on the best one
Don’t explain it just strait up give me the answer for 1,2 and 3
Answer:
Plz explain how to do this. Do I put numbers or what?
Step-by-step explanation:
When you tell me, I'll answer! <3