Question:
In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?
___________________________________________________
Solution:
The triangle FGH should look like that in the attachment.
Tangent of angle G = opposite side/adjacent side
= FH/HG
= 55/48
The area of a sector with a central angle of 30' is 150'. Determine the approximate length of the diameter.
Answer:
It looks different. Can you provide some formulae based on it. I may help you out in the comment section!
The diameter of the circle is 48 in.
What is a Sector?A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also known as an arc) and two of its radii meet, a sector is produced. A sector of a circle resembles a piece of pizza or a pie in shape.
As per the given data:
Central angle of the sector (θ) = 30°
Area of the sector (A) = 150 in²
A = (1/2) × r² × θ {where θ is in radian and r is radius}
Converting 30° to radian.
= 30 × (π/180)
= π/6
150 = (1/2) × r² × π/6
r = √(1800/π)
r = √(576)
r = 24 in
Diameter = 2r
= 2 × 24 in
= 48 in
Hence, the diameter of the circle is 48 in.
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∆ XYZ ≅ ∆ MNL
Find XY
The length of XY is 8.
What are congruent triangles?When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent.
Given that, the triangles ΔXYZ and ΔMNL are congruent.
Therefore, XY≅MN.
Since MN = 8, it follows XY =8.
Hence, the length of XY is 8.
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Find the quotient (PLEASE HELP)
[tex]{ \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 5x - 36}{x + 2} \div ( {x}^{2} - 18x + 81)}}}} \\ \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( {x}^{2} - (9x - 4x)- 36)}{x + 2} \div ( {x}^{2} - (9x + 9x) + 81)}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 9x + 4x - 36 }{x + 2} \div( {x}^{2} - 9x - 9x + 81)}}}}[/tex]
[tex]{ \dashrightarrow{ \sf{ \green{ \frac{x(x + 4) - 9(x + 4)}{x + 2} \div (x(x - 9) - 9(x - 9))}}}} \\ \\ \\ { \dashrightarrow { \sf{ \green{ \frac{(x + 4)(x - 9)}{(x + 2)} \div ((x - 9)(x - 9))}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( x + 4)(x - 9)}{(x + 2)(x - 9)(x - 9)}}}}} [/tex]
[tex]{ \dashrightarrow{ \underline{ \sf{ \green{ \frac{(x + 4)}{(x + 2)(x - 9)}}}}}} \\ \\ \\ [/tex]
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)
Answer:
You simply take the values away from 180°.
a) 180-85-65 = 30°
b) 180-37-63=80°
c) 180-52-78=50°
d) 180-102-58=20°
e) 180-100-60=20°
f) 180-105-25=50°
g) 180-127-23=30°
For brainiest:):):):):):):):)
Five percent of canned goods get bumps or dents in the cans during manufacturing. Let X = the number of cans that are inspected before one with a bump or dent is found.
What is the mean and standard deviation of X?
Mean =
Standard deviation =
Answer:
Mean = 20
Standard deviation = 19.494
Step-by-step explanation:
I got it right.
Show all of your work.
a Jon works at T-Shirts R Us. Yesterday, he unpacked 36 boxes of new shirts. Each
box had 24 shirts in it. How many shirts did he unpack?
The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
Step-by-step explanation:
The computation of the probability is shown below":
P(x>15.9) is
[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]
Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
We simply applied the above formula
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%
Step-by-Step Explanation:
P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve
Note:
Hope this helps you in the future.
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¿ ʇᴉ ǝʌlos noʎ uɐɔ
[tex] {12}^{2} + {5}^{2} = x[/tex]
Answer:
x= 169
Step-by-step explanation:
12*12= 144
5*5= 25
x= 144+25
x= 169
....
Answer:
here's the solution :-
=》
[tex]x = {12}^{2} + {5}^{2} [/tex]
=》
[tex]x = 144 + 25[/tex]
=》
[tex]x = 169[/tex]
A = 6x – 18°
B = 14x + 38°
Answer
x = 8
<A = 30
Step-by-step explanation:
6x - 18 + 14x + 38 = 180
Like terms
20x-20=180
subtract
20x = 160
Divide
x=8
Solve for <A
6(8) - 18
Simplify
48 - 18
30
Please help me!!!! I will give brainliest!
Hey there!
The correct answer is 40 customers.
To solve this we can set up the following equation:
36 = .9x
(How I like to remember this is "36 = 90% of what")
Now, we solve. Divide both sides by .9:
40 = x
Have a terrificly amazing day! :D
24. Pe un cerc sunt dispuse 2014 numere reale, fiecare având modulul 11. Se face suma celor 2014 produse de câte patru numere dispuse consecutiv pe cerc. Atunci suma este
Answer:
Co czekało na tych co brali udział w powstaniu listopadoCo czekało na tych co brali udział w powstaniu lisCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać zCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strCo czekałCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ać ze strony cara?)o na tych co bCo czekało Co czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać zeCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?) strony cara?)na tyCo czekało na tych co brali udział w Co czekało na tych co brali udział w powstaniCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)u listopadowym? (czego mogli się spodziewać ze strony cara?)powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ch co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)rali udCo czekało na tych co brali udział w powstaniuCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?) listCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)opadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)ział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ony cara?)e stronyCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?) cara?)topadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)wym? (czego mogli się spodziewać ze strony cara?)
In the story "The Most Dangerous Game." General Zaroff is the character foil for
.
Answer:
I believe it is Whitney Rainsford
In the story "The Most Dangerous Game." General Zaroff is the character foil for
Step-by-step explanation:
Rainsford
Should be the second one
6y + 9 - 4/3y = 4y + 2/3y +12
solve this equation
Step-by-step explanation:
[tex]6y + 9 - \frac{4}{3} y = 4y + \frac{2}{3}y + 12 [/tex]
➡️ [tex]18y + 27 - 4y = 12y + 2y + 36[/tex]
➡️ [tex]14y + 27 = 14y + 36[/tex]
➡️ [tex]27 = 36[/tex]
➡️ [tex]y∈∅[/tex]
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, start text, space, c, m, end text. What is the area AAA of the circular cross section of this pipe?
Answer:
314.2 cm²
Step-by-step explanation:
The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm
So, A = πd²/4
substituting the value of d into the equation, we have
A = π(20 cm)²/4
A = π400 cm²/4
A = 100π cm²
A = 314.16 cm²
A ≅ 314.2 cm²
Answer:
100pi
Step-by-step explanation:
Georgia makes trail mix by mixing fruit
and nuts in a ratio of 3 to 2. If Georgia
mixes in 18 ounces of fruit, how many
Ounces of nuts should she add?
Answer: 12 ounces
Step-by-step explanation:
Let the ounces of fruits that should be added be represented by x.
Based on the information given in the question, this can be represented by:
3/2 = 18/x
Cross multiply
3 × x = 18 × 2
3x = 36
x = 36/3
x = 12
Therefore, 12 ounces of nuts should be added.
The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many radians does it move during this time?
Answer:
a. 120 degrees
b. 2.0944 radians
Step-by-step explanation:
From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math
20 / 5min = 4 times
4 * 30 degrees = 120 degrees
We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula
degrees * [tex]\pi /180[/tex] = radians
120 * [tex]\pi / 180[/tex] = radians
2.0944 = radians
Does anyone know how to do this?
Answer:
D
Step-by-step explanation:
The question:
10^4= 10000
4^10=1048576
1048576x10000= 10485760000
4^5= 1024
10485760000/1024= 10240000
A. 262144 (NO)
B. 2.62144e+14 (NO)
C. 10000x1073741824= 1.0737418e+13 (NO)
D. 10000x1024= 10240000 (YES)
Hope this helps ^^
Please help!
Find the value of x for which d II m
Simplify answer.type integer or a fraction
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
~Set up an equation and solve for x :
[tex] \large{ \tt2x \degree - 21 \degree = 87 \degree}[/tex] [ Being alternate angles ]
Since we want to get rid of constant on left hand side , add 21 on both sides :
⟿ [tex] \large{ \tt{2x - 21 \degree + 21 \degree = 87 \degree + 21 \degree}}[/tex]
⟿ [tex] \large{ \tt{2x \degree = 108 \degree}}[/tex]
Divide both sides by 2
⟿ [tex] \large{ \tt{ \frac{2x}{2} = \frac{108}{2} \degree}}[/tex]
⟿ [tex] \large{ \tt{x = 54 \degree}}[/tex]
☥ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer : } \underline{ \tt{x = 54\degree}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ♪
☄Let me know if you have any questions regarding my answer! ツ
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} [/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The conference had 45 people and it increased by 40% the second day. How many more people came on that second day?
Answer:
Number of people in the conference on first day = 45
It increased by 40% the second day.
To find:
The number of people in the conference on second day.
Solution:
The conference had 45 people and it increased by 40% the second day. So,
Number of people in the conference on second day [tex]=45+40\%\ of\ 45[/tex]
[tex]=45+\dfrac{40}{100}\times 45[/tex]
[tex]=45+18[/tex]
[tex]=63[/tex]
Therefore, the number of people in the conference on second day is 63.
I need help with my math I currently have a C in math and I need my grade up can any of you guys help me ASAP?
Answer:
All you got to do for all the questions is divide them.
For example:
For the first one its 6/10 so all you gotta do is go on your calculator and press
6/10 and you will get 0.6 which is the answer This is the answer to the question on the worksheet. For the second one its 3/25 so all you got to do is go in your calculator and press 3/25. You will get 0.12 which is your answer. I hope this helped and I hope your grade improves!!! Good Luck!
Step-by-step explanation:
A: Find the area of the shaded sector 100° 7 cm
Answer:
Radius of the circle, r = 8.91 cm
Angle, 0 = 81*
Step-by-step explanation:
miguel walked 3/4 miles to the library and then 3/8 miles to the post office. Which statement is true?
Answer:
Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:
a polygon with 189 diagonals is called
Answer:
189 diagonals have 21 sides.
it is called hectogan take care
Help pls?????????????????
Answer:
y=-3x-2
Step-by-step explanation:
Find the slope by picking 2points. I did (3,-3) and(0,-2) for instance and you use the y-y/x-x formula to find the slope 0-3/-2+3=-3 and the y intercept, which is -2 was found because it is the y value that corresponds to a 0 in the x.
what is the answer to 7(2x + 9)
Answer:
14x + 63
Step-by-step explanation:
[tex]7(2x+9)\\\\14x+63\\\\\left \{ {{7*2x=14x} \atop {7*9=63}} \right.[/tex]
Hope this helps.
Find the volume of the prism.
Answer:
4.32 + 1.98
Step-by-step explanation:
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
3(n + 25) = 50 + 2n
Step-by-step explanation:
5 x 3/5 = 15/5. Simplify...
3
5(10 + 2/5 n )
50 + 10/5 n
50 + 2 n
What is 14 percent of 87
Answer:
87x.14= 12.18
........
Answer: 12.18
Can u give me brainliest
Step-by-step explanation: