Add and check 5,655+7,978

Given:

In triangle EFG, [tex]EF=10\sqrt{2}, m\angle G=90^\circ,m\angle E=60^\circ[/tex].

To find:

The measures of FG, EG and angle F.

Solution:

In triangle EFG,

[tex]m\angle E+m\angle F+m\angle G=180^\circ[/tex]           [Angle sum property]

[tex]60^\circ+m\angle F+90^\circ=180^\circ[/tex]

[tex]m\angle F+150^\circ=180^\circ[/tex]

[tex]m\angle F=180^\circ-150^\circ[/tex]

[tex]m\angle F=30^\circ[/tex]

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin E=\dfrac{FG}{EF}[/tex]

[tex]\sin (60^\circ)=\dfrac{FG}{10\sqrt{2}}[/tex]

[tex]\dfrac{\sqrt{3}}{2}\times 10\sqrt{2}=FG[/tex]

[tex]5\sqrt{6}=FG[/tex]

Similarly,

[tex]\sin F=\dfrac{EG}{EF}[/tex]

[tex]\sin (30^\circ)=\dfrac{EG}{10\sqrt{2}}[/tex]

[tex]\dfrac{1}{2}\times 10\sqrt{2}=EG[/tex]

[tex]5\sqrt{2}=EG[/tex]

Therefore, the required measures are [tex]FG=5\sqrt{6}, EG=5\sqrt{2}, m\angle F=30^\circ[/tex].

The number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].

To write the number 0.00000625 in scientific notation, we can follow these steps:

First Move the decimal point to create a number between 1 and 10.

In this case, we can move the decimal point 6 places to the right to obtain 6.25.

Count the number of places moved to determine the exponent.

Since we moved the decimal point 6 places to the right, the exponent will be -6.

Write the number in scientific notation.

0.00000625 can be written as  [tex]6.25\times 10^{-6}[/tex].

Therefore, the number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].

Learn more about scientific notation at ;

https://brainly.com/question/29065322

#SPJ6

friday=237x3

=711

saturday=166

711-166=545

Answer:

[tex]X^2-2x+1[/tex]

Step-by-step explanation:

Traditional pattern for a perfect square:

[tex]x^{2} +2ax+a^{2}[/tex]

Which factors into: [tex](x+a)^2[/tex]

We know becuase a is "missing" from the original equation that it must equal 1; therefore:

[tex]x^2+2x+1[/tex]

Which we know is correct because it factors into: [tex](x+1)^2[/tex]

Answer: The answer is 143.59

Step-by-step explanation:

I just subtracted 279.51 from 423.1! :)

Answer:

595

Step-by-step explanation:

First term:  

7

7 ⋅ 4 = 28

Second term:

28

28 ⋅ 4 = 112

Third term:

112

112 ⋅ 4 = 448

Fourth term:

448

This geometric sequence can be further described by the equation:

aₙ = 7 ⋅ 4 ⁿ⁻¹

So if you want to find the 4th term,  n = 4

a ₄ =  7  ⋅  4 ⁴⁻¹  =  7  ⋅  4 ³  =  7  ⋅  64  = 448

Note:

aₙ  =  a₁  rⁿ ⁻¹

Answer:

[tex]2 ( \sqrt{x} - {x}^{3} )[/tex]

Step-by-step explanation:

[tex] \sqrt{x} - x - (2 {x}^{3} - \sqrt{x} - x) [/tex]

[tex] \sqrt{x} - x - 2 {x}^{3} + \sqrt{x} + x[/tex]

[tex]2( \sqrt{x} - {x}^{3} )[/tex]

Answer:

hi rashi thanks for me ok bye

Answer:

16units is the correct answer

Answer:

A x=18

Step-by-step explanation:

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]

[tex]M = 0.038[/tex]

The margin of error for the 90% confidence interval is of 0.038.

Answer:

B. By personal experimentation and testing

Step-by-step explanation:

Step-by-step explanation:

212×3= 636 two hundred and twelve multiple by three equals six hundred and thirty six

Answer: either B. or C. ( at least i tried. )

Answer:

Fraction form: 1/4

Exponential form: 2^-2

Expanded form: 1/4 (Not sure if thats correct)

Step-by-step explanation:

Answer:

Its 1/4 he was right

Step-by-step explanation:

Answer:

A jug of milk

Step-by-step explanation:

Answer:

-78

Step-by-step explanation:

We need to find the value of -(-(-78))

We know that, -(-x) = +x

And -(-(-x)) = -x

We have,

x = 78

When two minus gets multiplied, we get a positive number and when a minus and a plus gets multiplied, we get a negative number. So,

-(-78) = +78

And

-(-(-78)) = -78

So, the numerical value is -78.

Answer:

y = 2x - 3

2y = x - 12

Step-by-step explanation:

Step-by-step explanation:

always begin any problem by writing what you know

circumference is

u = 2 pi r

1)

u=3.14

r=?

3.14 = 2 pi r

Solve for r

the rest of the problems you just plug the numbers into the formula

wow

wow wow

wow

wowowwowowoowwowowowowoow

=======================================================

Explanation:

Use your calculator to convert each fraction into decimal form

2/3 = 0.67 approximately

3/4 = 0.75 exact

The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".

So 0.67 < 0.75 which leads to 2/3 < 3/4.

Aryan spent more time exercising.

--------------

We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get

3/4 - 2/3

9/12 - 8/12

(9-8)/12

1/12

Aryan spent 1/12 of an hour longer exercising compared to Naitik

1/12 hour = (1/12)*60 = 60/12 = 5 minutes

He spent 5 extra minutes exercising.

----------------

Notes:

Answer:

240 inches squared

Step-by-step explanation:

12 x ( 3 + 17) =

12 x 20 =

240 inches squared

Answer:

Deduction is inference deriving logical conclusions from premises known or assumed to be true, with the laws of valid inference being studied in logic. Induction is inference from particular premises to a universal conclusion.

Step-by-step explanation:

Answer:

2/3 lbs

Step-by-step explanation:

2 divided by 3=2/3=2/3

Happy learning!

Answer:

The answer is 3 7/8 or 3.875

Answer:

1

Step-by-step explanation:

By question it's given that ,

=> h(x) = -x - 1

=> h(-2) = -(-2)-1

=> h(-2) = 2 - 1

=> h(-2) = 1

Answer:

the ans is 1 hope ut may help u

Step-by-step explanation:

x=-2

x = -(-2) -1

x=2-1

x=+1

Answer:

the better deal will be the family size for $4.99 and 30oz, because the family box come with 30oz per box and with that many oz it can be shared by the family depending on how much cereal they they get.

Step-by-step explanation:

Your answer would be option three,  y = 1/3 x -9 :)

Answer:

1

Step-by-step explanation:

A third of 3=1

3/3=1