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1 year ago

In FGH,FH =7 ft,FG=12 ft and m

Mathematics

1 answer:

nikdorinn [45]1 year ago

5 0

Answer:1) In Δ FGH,

FH=7 ft, FG=12 ft,

∠F=70 degrees

By "Law of cosines":

So,By applying Law of Sines , we get that

Hence, Option 'D' is correct.

2) In Δ XYZ,

XY=14, ∠Y=22°, and XZ=26

By using "Law of sines":

so, X = 147° , Y = 22° , Z = 11.6°

Step-by-step explanation:

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The U.S. annual energy consumption is roughly 1 x 1020 joules per a year. If there are 350,000,000 people in the U.S., express t

AnnZ [28]

Answer with Step-by-step explanation:

Given the total energy consumption for all of the population is

$E=1\times 10^{20}Joules$

Thus energy consumed by each person per year can be obtained by dividing the total energy consumed by the total population Thus we get

$E_{per\cdot person}=\frac{1\times 10^{20}}{350\times 10^{6}}\\\\E_{per\cdot person}=28.57\times 10^{10}Joules/Year$

Now the energy consumed in each second assuming that there are 365 days in each year equals

$E_{second}=\frac{28.57\times 10^{10}}{365\times 24\times 3600}\\\\E_{second}=9059.49Joules$

4 0

3 years ago

Question 2 (1 point) (06.04 MC) Find the product of (x − 5)2. Question 2 options: x2 + 10x + 25 x2 − 10x + 25 x2 − 25 x2 + 25

vladimir1956 [14]

${ (x - 5) }^{2} = {x}^{2} - 10x + 25$

4 0

2 years ago

FOR 47 POINTS PLEASE HELP

Julli [10]

Answer:

UV=25 units

Step-by-step explanation:

we know that

UW=UV+VW -----> by addition segment postulate

substitute the given values

4x+10=5x+5

solve for x

5x-4x=10-5

x=5

Find the value of UV

UV=5x

substitute the value of x

UV=5(5)=25 units

3 0

2 years ago

Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +

ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

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3 years ago

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Artemon [7]

Answer:

5, 9,13,17

Step-by-step explanation:

5 +4 +4+4

8 0

2 years ago

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