What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1
A. x=8.40
B. x=18.38
C. x=8.17
D. x=19.45

friday=237x3

=711

saturday=166

711-166=545

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].

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

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:

19-x

the expression that show how many bacon pancakes Mackenzie is 19 - x

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:

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

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:

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:

8.2 x 10^1

Step-by-step explanation:

Answer:

Area of the figure = 25.7 units²

Step-by-step explanation:

Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD

Area of the rectangle ABCD = Length × Width

                                               = BC × AB

                                               = 8 × 4

                                                = 32 units²

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

r = [tex]\frac{\text{Diameter}}{2}[/tex]

r = [tex]\frac{1}{2}(CD)[/tex]

r = [tex]\frac{4}{2}[/tex]

r = 2 units

Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]

                                                       = 2π

                                                       = 6.28 units²

Area of the given figure = 32 - 6.28

                                         = 25.72 units²

                                         ≈ 25.7 units²

Answer:

16units is the correct answer

The line y = 7 − x has a slope(m) of - 1 and y-intercept b is 7.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, an equation of a line y = 7 - x.

We can rearrange this in the form of slope-intercept form which is

y = mx + b.

y = - x + 7.

y = (-1)x + 7.

The slope (m) of this line is - 1 and the y-intercept(b) is 7.

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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:

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.

Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.

y=mx+b

y=2x+b

3=2(2)+b

-1=b

Therefore the equation is y=2x-1

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

Answer:

91 minutes

Step-by-step explanation:

1 hour= 60 minutes.

31 minutes + 60 minutes = 91 minutes.

If this helps please mark as brainliest

Answer:

91 minutes

Step-by-step explanation:

1 hour = 60 minutes

60 + 31 = 91 minutes

Answer: D, All of the above

Step-by-step explanation:

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: the answer would be A.

(x-1)(x-6)(x+6)

Step-by-step explanation:

a p e x

The LCD of the given expression is (x-1)(x-6)(x+6).

What is LCD?

The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.

What is the LCD in the given expression?

Factor the denominator of the right side of the equation.

[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]

From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].

Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).

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Answer:

hi rashi thanks for me ok bye

Answer:

(-3)^8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

MR = MN+NP+PQ+QR

MN=4 and MN≡QR so QR=4

PQ=6 and PQ≡NP so NP=6

MR = 4+6+6+4 = 20

Answer:

c???

Step-by-step explanation:

Answer:

A x=18

Step-by-step explanation:

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].

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Answer:

Over 300 students did not support start time after 8:00am

Step-by-step explanation:

Given

[tex]N = 600[/tex] --- population

[tex]n = 40[/tex] --- sample

See attachment for dataset

Required [True/False]

Over 300  wants start time after 8:00am

First, we calculate the number of samples that wants start time after 8:00am

[tex]x = 8:30am\ start + 9:00am\ start[/tex]

For sample 1

[tex]x_1 = 18[/tex]

The corresponding value of x1 in the overall population is:

[tex]X_1 = \frac{x_1}{n} * N[/tex]

[tex]X_1 = \frac{18}{40} * 600[/tex]

[tex]X_1 = \frac{18 * 600}{40}[/tex]

[tex]X_1 = \frac{10800}{40}[/tex]

[tex]X_1 = 270[/tex]

For sample 2

[tex]x_2 = 19[/tex]

The corresponding value of x2 in the overall population is:

[tex]X_2 = \frac{x_2}{n} * N[/tex]

[tex]X_2 = \frac{19}{40} * 600[/tex]

[tex]X_2 = \frac{19* 600}{40}[/tex]

[tex]X_2 = \frac{11400}{40}[/tex]

[tex]X_2 = 285[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00am

None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.

The population is 600 and the sample is 40.

The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.

Over 300 students did not support start time after 8:00 am

For sample 1

[tex]\rm x_{1} =18\\[/tex]

The corresponding value of x1 in the overall population is:

[tex]\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\[/tex]

For sample 2

[tex]\rm x_{2} =19[/tex]

The corresponding value of x2 in the overall population is:

[tex]\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00 am.

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Answer:

Step-by-step explanation:

It is C

Answer: C- 303

Step-by-step explanation: