Find all the missing sides and angles of this triangle.
А
7
B
70°
Show your work for full credit. You are finding the measure of angle A, side length of AC and side
Show Your Work
I
Answers
Answer:
A = 20°
AC = 6.6
BC = 2.4
Step-by-step explanation:
Given:
B = 70°
C = right angle = 90°
AB = 7
Required:
A, AC, and BC
Solution:
✔️A = 180 - (90 + 70) (sum of triangle)
A = 20°
✔️Use trigonometric function to find AC:
Refernce angle = 70°
Opp = AC
Hypotenuse = 7
Apply SOH,
sin 70 = Opp/Hyp
sin 70 = AC/7
7 * sin 70 = AC
6.57784835 = AC
AC = 6.6 (nearest tenth)
✔️Use trigonometric function to find Bc:
Refernce angle = 70°
Adj = BC
Hypotenuse = 7
Apply CAH,
cos 70 = Adj/Hyp
cos 70 = BC/7
7 * cos 70 = BC
2.394141 = BC
BC = 2.4 (nearest tenth)
Related Questions
Solve for x:
x/7 - 6 = 3
A. 27
B. -63
C. -27
D. 63
Answers
Answer:
D. 63
Step-by-step explanation:
First, add 6 to both sides:
[tex]\frac{x}{7}[/tex] - 6 = 3
[tex]\frac{x}{7}[/tex] = 9
Multiply each side by 7
x = 63
So, the correct answer is D. 63
Simplify 6⋅ (x+3)
Apply the distributive property.
6x+6⋅3=x⋅76x+6⋅3=x⋅7
Multiply 66 by 33.
6x+18=x⋅76x+18=x⋅7
Move 77 to the left of xx.
6x+18=7x
Move all terms containing x to the left side of the equation.
subtract 7x7x from both sides of the equation.
6x+18−7x=06x+18-7x=0
Subtract 7x7x from 6x6x.
−x+18=0-x+18=0
Subtract 1818 from both sides of the equation.
−x=−18-x=-18
Multiply each term in −x=−18-x=-18 by −1
Multiply −1-1 by −1-1.
1x=(−18)⋅−11x=(-18)⋅-1
Multiply xx by 11.
x=(−18)⋅−1x=(-18)⋅-1
Multiply−18-18 by −1-1.
x=18
Triangle abc is equilateral which means all three lengths and three angles are equal.
which equation could be used to find the measure of b?
Answers
Answer:
The answer is
[tex]3 x = 180[/tex]
Answer:
OTHER DUDE IS RIGHT.
Step-by-step explanation:
BE SAFE, HAVE AN AMAZING DAY :)
A shopper pays $45 for 3 packs of T-shirts. If each pack costs the same amount and contains
5 T-shirts, what is the cost per T-shirt?
Answers
Answer:
$3Step-by-step explanation:
3 packs each 5, then total T-shirts:
3*5 = 15Total cost:
$45Cost of one T-shirt:
$45/15 = $3Each pack costs
45/3$15Each T shirt costs
15/5$5Multiple Choice: A prism and a pyramid have identical bases and heights. The volume of the prism is: Twice as large as the pyramid's volume One third as large as the pyramids's volume Three times as large as the pyramid's volume Equal to the pyramid's volume
Answers
Answer:
Three times as large as the pyramid's volumeStep-by-step explanation:
Let the volume of prism be Vp
Let the Volume of pyramid be Vy
Vp = Base Area * Height .... 1
Vy = Base * Height/3 ....2
From 2;
Vp = BH/3
BH = 3Vy
Since Vp = BH, then;
Vp = 3Vy
This shows that the volume of prism is three times as large as pyramids volume
I need help with this question. I didn't choose answer D, but I accidentally did. If you could help me, that would be great.
Answers
Answer:
The correct answer would be B
Step-by-step explanation:
Plz Mark Brainlist
Which matrix equation represents the system of linear equations?
3x-9y-Z=-4
-2x + y - 8z = 1
5x + 2y + 2z = 9
-175 x 3
1 1 - 8
y = -2
9 2 2
-4 -9
N
LO
3 -9
-111x
-4
-2
1 - 8
y =
1
B
5
2
2
N
9
x
3 -9
-4
х
-1
-2
1
1 ll y =
8
ir N
2
9
Z
2
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
When solving multiple choice problems, a reasonable strategy is to look for ways to identify one answer as good, or other answers as bad.
Here, all of the constant vectors in the equations are different, so we can decide the answer based on that.
The only equation with the correct constant vector is choice B.
_____
The constants in the equations are -4, 1, 9 — the values to the right of the equal sign.
find the solution of given expression
[tex] \sqrt{2545 \times 2545} [/tex]
Answers
Answer:
√{2545×2545}=√2545²=±2545
On a bicycle ride, Betty rode 7 miles in 2 hours.
At the same rate of speed, how far could she ride in 8 hours?
Answers
Answer:
28
Step-by-step explanation:
I'm not sure if this is right
She rode 7 miles in 2 hours, so because she is going at the same speed you times/multiply 7 x 4 in order to determine the miles. I timed it by 4 because 2 hours times 4 = 8 hours.
Hope that helped because I believe it is right :)
An angle measures 46° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
67 degree
113 degree
Step-by-step explanation:
Supplementary angles are angles that measure up to 180 degrees. For example, if one angle measures 60 degree, the other angle would measure (180 - 60) 120 degrees
Let x represent the smaller angle
The bigger angle = x + 46
We know that both the smaller and the bigger angle would add up to 180, thus this equation can be written :
x + 46 + x = 180
2x + 46 = 180
Collect like terms
2x = 180 - 46
2x = 134
Divide both sides by 2
x = 67 degrees
the bigger angle = 67 + 46 = 113 degree
1.02 sinusoidal graph
WHAT IS THE AMPLITUDE OF THE SINUSOIDAL FUNCTION?
Enter your answer in the box.
___
Answers
Answer:
[tex]\displaystyle 5[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{32}{39}} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]
OR
[tex]\displaystyle \boxed{y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1\frac{25}{39}} \hookrightarrow \frac{-\pi}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]
As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5cos\:\frac{39}{64}\pi{x} + 1,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between both photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle \frac{32}{39}\:unit[/tex]to the right, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{32}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you get [tex]\displaystyle \boxed{-\frac{32}{39}} = \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1.[/tex]Intermediate, we have two sine graphs [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5sin\:\frac{39}{64}\pi{x} + 1.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle 1\frac{25}{39}\:unit[/tex]to the right, which means that in order to match the leftward sine graph, we need to shift the graph BACKWARD [tex]\displaystyle 1\frac{25}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-1\frac{25}{39}} = \frac{-\pi}{\frac{39}{64}\pi}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-6\frac{22}{39}, 1],[/tex]from there to [tex]\displaystyle [-3\frac{11}{39}, 1],[/tex]they are obviously [tex]\displaystyle 3\frac{11}{39}\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 3\frac{11}{39}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and in case you want to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended five units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. So, overall, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Whats the y-int?
Whats the domain and range?
Answers
Answer:
Y intercept is (0,50) or b=50
GIVING BRAINLIEST!!!
Which statement best describes the expression (5 x 3 − 12) x 8?
A) Subtract the product of 5 and 3 from the product of 12 and 8.
B) Multiply the difference of 12 and 8 by the product of 5 and 3.
C) Multiply the difference of 5 and 3 by 8, then subtract 12.
D) Subtract 12 from the product of 5 and 3, then multiply by 8.
Answers
Answer:
D.
Explanation:
PEMDAS method. First do the parentheses. Multiply first, then subtract 12 from that number. Once finished with the parentheses, multiply by 8.
Im struggling a bit can someone help me :)
Answers
Answer:
1
Step-by-step explanation:
please help!!
Which equation does the graph of the systems of equations solve?
Answers
Answer:
you have to solve the first step and up and down
Step-by-step explanation:
with times hait
The price of a new car was 12,500 it is reduced to 11,625 work out the percentage reduction
Answers
Answer:
93%.
Step-by-step explanation:
% Decrease = Decrease ÷ Original Number × 100
Divde 11,625 by 12,500 and multiply the answer by 100.
11,625 ÷ 12,500 × 100 = 93
The percentage reduction is 93%.
Describe the transformation of the graph of f into the graph of g as either a vertical stretch or compression. (Be sure to include the stretching/compression factor as well f(x) = √x and g(x) =5√x
Answers
How do the volumes of cylinders, cones, and spheres relate to each other if they have the same radius and height?
Answers
Answer:
search it up
Step-by-step explanation:
Independent Practice
Complete the statement.0.25 m= cm
A.
25
B.
0.0025
C.
2.5
D.
250
Answers
Answer:
0.25 meters is the same as A. 25 centimeters
Explanation:
multiply the length value (0.25) by 100 to get to cm from m
hope this helps chu <3
Which point is located on the line represented by y = -3x + 4? A) (4,8) B) (4-8) C) (-4, 8) D) (-4,-8)
Answers
Answer:
B
Step-by-step explanation:
To determine which point lies on the line, substitute the x- coordinate of the point into the equation and if the value equals the y- coordinate of the point then it lies on the line.
A (4, 8)
y = - 3(4) + 4 = - 12 + 4 = - 8 ≠ 8 ← not on line
B (4, - 8 )
y = - 3(4) + 4 = - 12 + 4 = - 8 ← lies on line
C (- 4, 8 )
y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ 8 ← not on line
D (- 4, - 8 )
y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ - 8 ← not on line
The point lying on the line is (4, - 8 ) → B
what is the value of 2 ones, 8 tenths and 14 hundredths
Answers
Answer:
2.814
Step-by-step explanation:
Answer:
14802
Step-by-step explanation:
5 in
3 in
8 in
4 in
Find the lateral surface area of the triangular prism.
A)
84 in?
B)
90 in?
o
96 in 2
D)
104 in
Answers
Answer:
I would say that C is the correct answer
what percent can you turn 3/2 into
Answers
Answer:
150℅
Step-by-step explanation:
3/2×100/1
2 in 100=50
so50×3=150℅
2.142 Dag into gram and milligram
Answers
Answer:
21.42g 21420mg
Step-by-step explanation:
2.142x10=21.42g
2.142x10000=21420mg
a = 51 yd, b = 20 yd, c = 37 yd, h = 12 yd, w = 5 yd find surface area of triangular prism ANSWER FAST !!!
Answers
Answer:
Triangular Prism
Step-by-step explanation:
Which one is the height?
Answers
Answer:
The 3mm
Step-by-step explanation:
Answer:
3m is the height or altitude.
Choose the correct simplification of (8x + 3y)(2x - 4y). (5 points)
16x2 + 26xy + 12y2
16x2 + 26xy - 12y2
16x2 - 26xy + 12y2
16x2 - 26xy - 12y2
Answers
Answer: [tex]16x^{2} - 26xy - 12y^{2}[/tex]
An online gaming company offers two different plans for unlimited access. Plan A has a one-time $27
membership fee and is $6.50 a month. Plan B has a $14.50 membership fee and $9.00 a month. For which months is Plan A cheaper? For which months is Plan B cheaper?
please help i really need this....
Answers
Answer:
愚蠢的他媽的
Step-by-step explanation:
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Help !!
Determine the value of y, if x is 7.
y = x2 – 5
Answers
If it’s y= x^2-5 y= 44
7x2=14
14-5=9
A group of 3 friends went to a movie. They paid $15 for a bucket of popcorn. All the
movie tickets were the same price. They paid $51.75 total. Which equation represents
the cost of the tickets?
Answers
Answer:
51.75- 15= 36.75
36.75/3= 12.25 per ticket
Answer:
51.75 - 15 / 3
Step-by-step explanation:
$15 for a bucket of popcorn is separate from the tickets, so you subtract that from the sum.
Then you should have 36.75.
36.75 / 3 = 12.25
I hope this helped!
Stay safe! <3
Is anyone able to help me with this question rq pls
Answers
Answer:
B. 196πx² + 392πx + 196π
Step-by-step explanation:
Total surface area of a sphere = 4πr²
Radius, r = 7x + 7
Total surface area of a sphere = 4πr²
= 4 * π * (7x + 7)²
= 4π * (7x + 7) * (7x + 7)
= 4π * 49x² + 49x + 49x + 49
= 4π * (49x² + 98x + 49)
= 196πx² + 392πx + 196π
B. 196πx² + 392πx + 196π