Need help understanding this problem! If someone would explain how to do it that would be great!
In Triangle FGH, FH=6 ft, FG=11 ft, and m
*Hint: Law of Cosines
Answers
Answer:
m∠G = 31.83°
Step-by-step explanation:
From the triangle FGH,
FH = 6 ft
FG = 11 ft
And measure of the included angle ∠F = 73°
We have to find the measure of ∠G.
By applying law of cosine in the triangle to get the measure of third side GH first,
GH² = FH² + FG² - 2(FH)(FG)cos(∠F)
GH² = 6² + 11² - 2(6)(11)cos(73°)
GH² = 36 + 121 - 38.593
GH = √118.407
GH = 10.88 ft
Now apply sine rule in the given triangle to get the measure of ∠G.
[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]
[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]
sin(G) = 0.527374
G = [tex]\text{sin}^{-1}(0.527374)[/tex]
m∠G = 31.83°
Related Questions
How many miles will light travel in one day if the speed of light is 300,000,000 meters per second.
(1.62 km = 1 mi)
Answers
Answer:
[tex]d=1.61\times 10^{10}\ miles[/tex]
Step-by-step explanation:
Given that,
The speed of light, v = 300,000,000
eWe need to find the distance light travel in 1 day. We know that,
1 day = 86400 seconds
Distance = speed × time
So,
[tex]d=3\times 10^8\times 86400[/tex]
[tex]d=2.592\times 10^{13}\ m[/tex]
or
[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]
So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].
Use technology or a z-score table to answer the question.
The number of baby carrots in a bag is normally distributed with a mean of 94 carrots and a standard deviation of 8.2 carrots.
Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?
23.3%
31.2%
45.5%
76.73%
Answers
Answer:
46% is the percent of the bags of baby carrots that have between 90 and 100 carrots
Step-by-step explanation:
The baby carrot is normally distributed.
z = (x - µ)/σ
x is equal to number of baby carrots
µ = mean
σ = standard deviation
Substituting the given values, we get -
90 ≤ x ≤ 100
z = (90 - 94)/8.2 = - 0.49
For z value of -0.49, the probability is 0.31
For x = 100
z = (100 - 94)/8.2 = 0.73
For z value of 0.73, the probability is 0.77
P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46
The percent of the bags of baby carrots having carrots between 90 and 100 carrots is 0.46 × 100 = 46%
32614 round to nearest 100 place?
Answers
Answer:
32600
Step-by-step explanation:
Show your full solution
1. How much larger is the pizza in a circular pan with a 14-inch diameter than a pizza made in square pan with sides measuring 14 inches?
2. A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard, to leaving a margin of 3 cm all around. What is the area of a photograph?
Answers
Answer:
1.the square pan is larger by 12 inches
40 cm^2
Step-by-step explanation:
The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle
perimeter of a square = 4 x length
14 x 4 = 56 inches
Circumference of a circle = πD = (22/7) x 14 = 44 inches
Difference in size = 56 - 44 = 12 inches
Area of a rectangle = length x width
10 x 4 - 40 cm^2
Find the 8th term of the geometric sequence show below
Answers
Answer:
Alli khanaw .................
Answer:
8x^36
Step-by-step explanation:
first term (a) = [tex]8x^{8}[/tex]
Second term (t2)= [tex]8x^{12}[/tex]
common ratio (r)
= [tex]\frac{8x^{12} }{8x^{8} }[/tex]
= [tex]x^{4}[/tex]
now the 8th term of the G.S is
t8 = [tex]ar^{n-1}[/tex]
= [tex]8x^8 * (x^4)^8^-^1[/tex]
= [tex]8x^8 * (x^4)^7\\[/tex]
= [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]
hope it will help
Find the erea of the trapezoid.
Answers
9514 1404 393
Answer:
32 yd²
Step-by-step explanation:
Use the area formula with the given dimensions.
A = 1/2(b1 +b2)h . . . . . base lengths b1, b2; height h
A = 1/2(2 +6)8 = 1/2(8)(8) = 32 . . . . square yards
The area of the trapezoid is 32 square yards.
Rewrite by completing the square f(x) = x2 - 6x +43
Answers
Answer:
f(x) = (x - 3)^2 + 34
Step-by-step explanation:
evaluate (11.6)^2 by using (a^2+b^2+2ab)
Answers
Answer:
[tex]134.56[/tex]
Step-by-step explanation:
Break 11.6 into addenda.
[tex](11 + 0.6)[/tex]
Apply the binomial expansion method.
[tex](11 + 0.6)(11 + 0.6)[/tex]
[tex]11 {}^{2} = 121[/tex]
[tex]2(11)(0.6) = 13.2[/tex]
[tex]0.6 {}^{2} = 0.36[/tex]
Add them all up and you get.
[tex]134.56[/tex]
adadaadadadadadadadad
Answers
Answer:
I think B and D
Step-by-step explanation:
I’m not 100% sure tho
Subtract -21 from 30
Answers
Answer:
-9
Step-by-step explanation:
yu subtract 21 from 30 and and just add a negative before the answer
Write the equation of a sine function that has the following characteristics.
Amplitude: 7 Period: 9π Phase shift: 1/4
Type the appropriate values to complete the sine function.
Answers
Answer:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
Step-by-step explanation:
we want to figure out the equation of a sine function that has the following characteristics.
Amplitude: 7Period: 9π Phase shift: 1/4the standard form of sine function is given by
[tex] \displaystyle y = a\sin(bx-c)+d[/tex]
where:
a is the amplitudeb can be sorted out using the equation 2π/b=periodC refers to phase shiftFinding a and phase shift:
a and c is simply given which is
a=7C=¼finding b:
using the equation we acquire:
[tex]\dfrac{2\pi}{b}=9\pi[/tex]
solving the equation for b,we obtain:
b=2/9
finding d:
Since d Isn't mentioned, we would assume it 0
finding the equation:
substitute what we got:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
and we're done!
help me asap please help me help thank you
Answers
Answer:
H
Step-by-step explanation:
Area of a square is given as 16 unit²
Since formula of square is
A=l²
16=l²
l=√16
=4
If x= 10 which lines are parallel? Check all that apply. (8x - 25) b (12x - 5) (7x - 5) (10x + 15) a
Answers
Answer:
150 A
Step-by-step explanation:
THIS THE ANSWER
I HOPE IT HELPS
A pet store has
10 hamsters for every 8 cats.
What is the ratio of hamsters to cats?
8:18
8:10
10:8
Answers
Answer: 10:8
Step-by-step explanation:
There are 10 hamsters and 8 cats
Since hamsters is first in the ratio, you put the 10 and then the 8
10:8
Hope this helps!
Answer:
the last option 10:8....
Y(2.5+7)+y-2
10.5y-2
Answers
Answer:
−200y − 2
Step-by-step explanation:
y(2.5 + 7) + y −210.5y − 2
=9.5y + y + −210.5y + −2
=(9.5y+ y + −210.5y) + (−2)
−200y − 2
Mark me brainllest
Question 1 of 10
Which function results after applying the sequence of transformations to
Rx) = x5?
• compress vertically by
• shift left 2 units
• shift down 1 unit
O A. g(x) = }(x-2)5.1
O B. g(x) = + (x + 2,5-1
O C. g(x) = (3x+2)5-1
O D. g(x) = ž (x-1)5-2
HELP PLEASE ❗️❗️❗️❗️
Answers
Answer:
A (g(x) = }(x-2)5.1).
Step-by-step explanation:
The function which results after the sequence of transformations given is B. g(x) = 1/2 (x + 2)⁵ - 1.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given function is,
f(x) = x⁵
When a function is compressed vertically, then new function formed will be of the form, k f(x), where k is the factor that is compressed.
After compress vertically by 1/2,
f(x) changes to 1/2 f(x) = 1/2 x⁵
After the horizontal translation of 2 units to the left,
1/2 f(x) changes to 1/2 f(x + 2) = 1/2 (x + 2)⁵.
After vertical translation of 1 unit to the down,
1/2 f(x + 2) changes to 1/2 f(x + 2) - 1 = 1/2 (x + 2)⁵ - 1
Hence the correct option is B . g(x) = 1/2 (x + 2)⁵ - 1.
Learn more about Transformations of Functions here :
https://brainly.com/question/13810353
#SPJ7
Help thanks in advance
Answers
Answer:
C) 2/7, 1/2, 5/6, 4/2
Step-by-step explanation:
please help I'll give brainliest
You are wrapping a cube shape present that is 1.5 feet tall. How much wrapping paper will you need to wrap the entire present?
Answers
the answer is going to be 6.0
Step-by-step explanation:
1.5 + 1.5 = 3
3 + 3 = 6
What is 12% of 36 plz help
Answers
Answer:
12% of 36 is 4.32
0.12 times 36 is 4.32
I need help please. I need the the discount and selling price. Thank you
Answers
Answer:
15.12 is the discount68.88 is the sell priceStep-by-step explanation:
When you are taking off percentages from numbers, you first want to make the percent a number. This step is super simple. Just divide the 18 by 100
This gets you 0.18
Now multiply
84 * 0.18 = 15.12
So 15.12 is the discount
Then take 84 and subtract 15.12
84 - 15.12 = 68.88
So 68.88 is the sell price
'All factors of 70 are even numbers.'
Is he correct?
Ores
Yes
No
No
Explain your answer.
Answers
Answer:
No
Step-by-step explanation:
70 is divisible by 5. 5 is not an even number.
Answer:
No
Step-by-step explanation:
The factors of 70 are 1, 2, 5,7,10, 14, 35, and 70. the even numbers are 2, 10,14, and 70. but there are odd numbers, like 1, 5, 7, and 35. And since we know there are odd factors, the answer is No. 70 has even AND odd factors.
A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:
Answers
For every 2 hours, approximately $1,186 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
Answers
I believe that the answer is $426,960.
I hope this helps!
Chris has 150 Pokemon cards. Each week,
Chris purchases 15 Pokemon cards to add
to his collection. Which inequality can be
used to find w, the number of weeks after
starting his collection when Chris will have
more than 500 Pokemon cards in his
collection?
A.
150w + 15 < 500
B.
15W + 150 < 500
C.
150w + 15 > 500
Need He
D.
15W + 150 > 500
Answers
Answer:
D
Step-by-step explanation:
He already has 150 cards and he is buying 15 cards EACH WEEK. W represents the amount of weeks and since 15W +150 needs to be greater than 500 we need to use this lil guy (>)
pls help asap, ill give brainiest
Answers
The answer is D
If this helped a brainliest would be appreciated!
Help. What’s the answer to this problem?
Answers
Answer:
C) Yes, it’s a reflection over line f.
Step-by-step explanation:
It’s a reflection over line f.
I need help figuring this out, thank you! :)
Answers
Answer: 8
Step-by-step explanation:
5*6/2=15120/15=8(4) A sign on the road says: "Speed limit, 60 mph." Let s be the speed of a car. Choose the correct inequality that matches the information on the sign. the answers are= s<60 , s=60 , s<60 , s>60
Answers
Step-by-step explanation:
Choose the correct inequality that matches the information on the sign. the answers are
s<60
HELP ME I NEED THIS SO BADLY AND QUICK IF POSSIBLE
Answers
Answer:
B
Step-by-step explanation:
which is the smallest integers, please answer, -9, 0, -2, -4, -11
Answers
Answer:
-11 :)
Step-by-step explanation:
Answer: 0
Step-by-step explanation: