In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.
=10.7
The length of f from the given triangle FGH is 10.7 inches.
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.
Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°
f² = 57.76+10.24-48.64×(- 0.9396)
f² = 68+45.70
f² = 113.7
f = √113.7
f = 10.7 inches
Therefore, the length of f is 10.7 inches.
Learn more about the cosine rule here:
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Read the power and then check all that apply.
34 = 3 × 3 × 3 × 3
A power is a shorter way to write repeated multiplication.
The base is 3.
The base is 4.
The exponent is 3.
The exponent is 4.
The exponent tells you to multiply the 3 together 4 times.
The exponent tells you to multiply the 4 together 3 times.
Answer:
The answer is A,B,E, and F
Step-by-step explanation:
An insurance company advertises that 90% of their accident claims are settled within 30 days. A consumer group randomly selects 104 of last year’s claims from the company’s files, and finds that only 89 of them were settled within 30 days. Is the company guilty of false advertising?
Answer:x
Step-by-step explanation:
(04.05)
The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k? (1 point)
A. 3
B. 7
C. 10
D. 13
Answer:
i think that is is 10 please make me brainliest
Step-by-step explanation:
Hats Off
The school's baseball team plans on selling hats for a
fundraiser. They have called two companies, who have
each given the team a quote on the cost to make hats.
One company, Flip 'Ur Lid, charges a $24 design fee
and $2 per hat.
Explain how you can calculate the cost of ordering 4
hats
Answer:
So they have a 24 dollar design fee, and 2 dollars per hat. You have to calculate the cost of 4 hats that are 2 dollars each, plus the design fee of 24 dollars
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
The diagonal has a length equal to the square root of the sum of the three dimensions squared.
[tex]D^2=6^2+10^2+15^2\\ \\ D^2=261\\ \\ D=\sqrt{261}\\ \\ D=19cm[/tex]
The dimensions of a wooden bench shaped like a rectangular prism are 6 feet by 3.5 feet by 2.5 feet. What is the
volume of the bench in cubic feet?
14.75 Ft
® 52.5 ft
© 12 ft?
D 36 ft?
Answer:
12
Step-by-step explanation:
Jason predicted that 277 students would attend the school dance. The actual number was 250. What is the precent error of Jason's prediction?
Answer:
9.7%
Step-by-step explanation:
Given data
Expected value= 277
Actual value= 250
%Error= Actual- Expected/Expected *100
%Error= 250-277/277 *100
%Error= 27/277 *100
%Error= 0.097*100
%Error= 9.7
Hence the error is 9.7%
Of the 50 states, 23 have a coast that touches the ocean. What is the ratio of states that touch the ocean to states that do NOT touch the ocean?
Answer:
23 to 27
Step-by-step explanation:
_______________________________________
A and b are two similar cylindrical containers surface area of container A : surface are of container b 4:25
*Complete Question:
A and B are two similar cylindrical containers.
Surface area of container A: surface area of container B = 4:25
Warda fills container A with oil.
She then pours all the oil into container B.
Warda repeats this and stops when container B is full of oil.
Work out the number of times that Warda fills container A with oil.
Answer/Step-by-step explanation:
We are given that the ratio of surface area of cylinder A to cylinder B = 4:25
To find out the number of times Warda fills cylinder A with oil, we need to find the ratio of the volume of cylinder A to cylinder B.
✔️First, find the linear measurement using the ratio of their surface area by taking their square root:
4:25 = √4/√25 = 2/5
Linear measurement of A to B = 2:5
The ratio of their volume = the cube of the ratio of their linear measurement
Thus, the ratio of the volume of A to B = 2³:5³ = 8:125
For Cylinder B to be filled, it would require 125/8 = 15.625 of cylinder A filled with oil. That means Warda would have to fill Cylinder A with oil for approximately 15 times, then an extra fraction of cylinder A to completely fill cylinder B with oil.
If
f(x) = 2x3 + 6, which function satisfies
(fof-1) (x) = x and
(f-10 f)(x) = x? (1 point)
Answer:
Both are true.
Step-by-step explanation:
If f(x) = 2x³ + 6
To find the inverse of the given function,
Rewrite the function in the form of an equation,
y = 2x³ + 6
Interchange the variables x and y,
x = 2y³ + 6
Solve for y,
2y³ = x - 6
y = [tex]\sqrt[3]{\frac{(x-6)}{2}}[/tex]
Rewrite the equation in the form of a function,
[tex]f^{-1}(x)={\sqrt[3]{\frac{(x-6)}{2}}[/tex]
[tex](fof^{-1})(x)=f[f^{-1}(x)][/tex]
= [tex]2(\sqrt[3]{\frac{(x-6)}{2}})^3+6[/tex]
= (x - 6) + 6
= x
[tex](f^{-1}of)(x)=f^{-1}[{f(x)][/tex]
[tex]={\sqrt[3]{\frac{(2x^3+6-6)}{2}}[/tex]
[tex]={\sqrt[3]{\frac{(2x^3)}{2}}[/tex]
= x
Therefore, both the statements are true.
At a car garage there are 100 vehicles, 60 of which are cars, 30 are vans and the remainder are
lorries. If every vehicle is equally likely to leave, find the probability of a lorry leaving first.
Answer:
there are 10 of the other kind of cars
Step-by-step explanation:
Answer:
10%
Step-by-step explanation:
since there are 100 cars it makes it easy to make into a percentage. so since there are only 10 cars the awnser is 10%
3
x. 3x²+x-3=0
Find the zeros
Answer:
The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].
Step-by-step explanation:
Let [tex]3\cdot x^{2}+x - 3 = 0[/tex], the quickest and most efficient approach to find the zeroes of this second order polynomial is by Quadratic Formula. For all [tex]a\cdot x^{2}+b\cdot x + c = 0[/tex], roots are determined by:
[tex]x_{1,2} = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] (1)
Where [tex]a[/tex], [tex]b[/tex], [tex]c[/tex] are coefficients of the polynomial.
If we know that [tex]a = 3[/tex], [tex]b = 1[/tex] and [tex]c = -3[/tex], then roots of the polynomial are, respectively:
[tex]x_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (3)\cdot (-3)}}{2\cdot (3)}[/tex]
[tex]x_{1,2} =\frac{-1\pm \sqrt{37}}{6}[/tex]
The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].
Help me with this thanks!
Answer:
C
Step-by-step explanation:
C is the only one that isn't increasing or decreasing
brainliest?
Sam is younger than Jeff. Jeff is 5yers old. How old could Sam be? Enter an enteger
Answer:
any number between 0-4 so lets say 3
Step-by-step explanation:
An integer is a whole number that can be positive, negative, or zero however they can not be fractions or decimals
A gym membership is offered in January for 14.99 per month. If you pay upfront for the year, you are given a 15% discount on the monthly fee. How much money will you save after a year by paying upfront rather than monthly
Answer:
$27 approx
Step-by-step explanation:
Given data
Membership fee= 14.99 per month
for a year the fee is 14.99*12= 179.88
discount = 15%
=15/100*179.88
=0.15*179.88
=26.982
Hence for a year, you will save $27 approx
Write the equation of the line in slope-intercept form if m = 16 and y-intercept = (0,9) *
Answer:
y=16x+9
Step-by-step explanation:
y-y1=m(x-x1)
y-9=16(x-0)
y-9=16(x)
y-9=16x
y=16x+9
simplify 3xy² - 5x²y - 9xy² - 8x²y - 3x²
Answer:
-13x^2y - 6xy^2 - 3x^2
Step-by-step explanation:
Which set is closed under subtraction?
What is the solution to the system of equations?
{y=5x−10y=−3x+14
Answer:
x = 3 and y = 5
Step-by-step explanation:
Given equations are :
y=5x−10 ..(1)
y=−3x+14 ...(2)
Subtract equation (2) from (1).
y-y = 5x−10-(−3x+14)
0 = 5x-10+3x-14
0= 8x-24
8x = 24
x = 3
Put the value of x in equation (1).
y=5(3)−10
= 15-10
y = 5
So, the values of x and y are 3 and 5 respectively.
Indicate below whether the equation in the box is true or false 1/6 = to 6/12
Answer:
False
Step-by-step explanation:
I neee help plz
Solve by factoring.
5c^2 - 31c= 28
The solution is c=
(Simplify your answer.
the answer is,
[tex]c(5c - 31)[/tex]
factor the algebric expression 32a+36
Answer:
a = 1.125
is your compleate full answer
Answer:
the factorised form is 4(8a+9)
A culture started with 5,000 bacteria. After 4
hours, it grew to 5,500 bacteria. Predict how
many bacteria will be present after 13 hours.
Round your answer to the nearest whole
number.
r
P = Aekt
Enter the correct answer
DONE
I’m
Answer: After 13 (12) hours, there would be 6,500 bacteria across the culture.
Step-by-step explanation:
The bacteria grew by 500 each 4 hours, so to know how much there would be 13 hours later:
Simple, add 500 bacteria to every 4 hours until you reach 13 hours. 4 = 5.5k, 8 = 6k, 12 = 6.5k. Now, 12 is closer to 13 than anything we would've gotten if we kept going.
And there's your answer.
I NEED HELP NOW
Mario and Nathan collect model airplanes. Mario's collection is eight less than three times the size of Nathan's collection.
Write an equation to represent the size of Mario's collection in relationship to the size of Nathan's collection.Letm represent the size of Mario's collection and let n represent the size of Nathan's collection.
Answer:
shouldn't it be 1+1=x(6÷2)
A motorcycle is 80 inches long. A car is 75% longer than the motorcycle.
How long is the car?
A. 60 inches
B. 120 inches
C. 140 inches
D. 155 inches
Answer:
C. 140 inches
Step-by-step explanation:
80x1.75=140
Answer:
C. 140 inches
Step-by-step explanation:
75/100 × 80 = 60 inches
car = 60 + 80 = 140
what letter is used to represent scale factor ?
I'm Super Duper Sorry But Unfortunately I Don't Know The Answer I Need Points Because I Have A Timed Test And I Need Answers For My Questions Again I'm Super Sorry I Wish I Could Help But I'm Desperate. : (
Convert 27 ounces into grams.
Hint: 1 ounce=28.35 grams
Answer:
765.437 grams
Step-by-step explanation:
as 1 ounce =28.35g
so
27ounce=28.35×27
=765.437
Converting 27 ounces into grams is: 765.437grams.
Here, we have,
given that,
we have to Convert 27 ounces into grams.
we know that,
Since 1 ounce is equal to 28.35 grams.
so, we get,
1 ounce=28.35 grams
all we need to do is to multiply 27 by 28.35 grams.
i.e. 28.35×27 =765.437
The answer will be 765.437grams.
so, we get,
as 1 ounce =28.35g
so, 27ounce=28.35×27 =765.437g
Learn more about the unit conversion here:
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A TV has a length of 68 inches and a height of 51
inches. When TV's are advertised the size listed is the
diagonal length. What would be the advertised size of
this TV?
Answer:
85 inches
Step-by-step explanation:
Using pythag. A^2 + B^2 = C^2
(68*68) + (51*51) = 7225^2
Thus if you square root 7225, you get your answer - 85 inches.
The missing probability value for dr Green
Answer:
Your answer would be 0.34Step-by-step explanation:
first we add them altogether:
0.25+0.17+0.21+0.03 = 0.66
than we subtact the 0.66 from the whole (1) =
1-0.66= 0.34
6. If rls and mZ1 = 35º, what is mZ2?
2
1
S
please help!!
Answer:
55
Step-by-step explanation:
along line s, r intersects it, and you can see a right angle
90+35+angle 2 =180
you end up with 55, which is the measure