what is the length of GH to the nearest tenth of a meter​

Answer:

8.1 ft

Step-by-step explanation:

We can use proportions to solve.  Put the height over the shadow

40 ft          27 ft

---------- = -----------

12 ft           x ft

Using cross products

40x = 12*27

40x =324

Divide each side by 40

40x/40 = 327/40

x = 8.1

The shadow is 8.1 ft

Answer: C

Step-by-step explanation:

The initial amount of trees planted is 1,500, so answers B and D are out. The number that is raised to years (t) is 1.02, and since 1.02 is greater than 1, the number of trees planter per year is growing, and the .02 means that it is growing at 2% because 0.02 * 100 = 2%

Answer:

Step-by-step explanation:

C is correct.  The initial number (of trees) was 1500, and that 2% translates into 1.02 inside the parentheses.

Answer:

2x^9

Step-by-step explanation:

∛8x^27

=∛(2x^9)^3

= 2x^9

Cube root of 8x^27 = 512.

In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots.

∛8x^27

=∛(2x^9)^3

= 2x^9

= 512.

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Answer:

[tex]g\left(x\right)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

Given function is [tex]f\left(x\right)=-2\sqrt{x-3}+8[/tex].

Now let's find it's range.

we know that square root function always gives positive output then:

[tex]\sqrt{x-3}\ge0[/tex]

[tex]-2\sqrt{x-3}\le-2\left(0\right)[/tex]

[tex]-2\sqrt{x-3}\le0[/tex]

[tex]-2\sqrt{x-3}+8\le0+8[/tex]

[tex]-2\sqrt{x-3}+8\le 8[/tex]

[tex]f(x) \le 8[/tex]

Hence range of the function is [tex](-\infty,8][/tex].

we can repeat same process to find the range of all the given choices.

we will find that only 3rd choice has same range.

Hence final answer is [tex]g\left(x\right)=-\sqrt{x+3}+8[/tex]

Answer:

1. area

2. circle

3. equilateral

4. length

5. perimeter

6. polygon

7. regular polygon

8. trapezoid

9. legs

10. area of a circle

11. hexagon

12. octagon

13. inscribed polygon

14. apothem

15. composite figure

Step-by-step explanation:

Answer:

[tex]y=2x-8[/tex]

Step-by-step explanation:

Isolate the variable and divide by the coefficient to solve for a variable.

[tex]6x-3y=24 \\ \\ -3y=-6x+24 \\ \\ y=2x-8[/tex]

Answer:

y = 2x - 8

Step-by-step explanation:

=> 6x - 3y = 24

=> -3y = 24 - 6x

=> 3y = 6x - 24

=> y = 2x - 8

Answer:

(C) [tex]110^{\circ}[/tex].

Step-by-step explanation:

Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore

[tex]{\angle}FED=90^{\circ}[/tex].

Now, it is given from the figure that [tex]{\angle}FEP=35^{\circ}[/tex], therefore

[tex]{\angle}FED={\angle}FEP+{\angle}DEP[/tex]

[tex]90^{\circ}=35^{\circ}+{\angle}DEP[/tex]

[tex]{\angle}DEP=55^{\circ}[/tex]

Now, we know that The angle subtended at the center of a circle is double the size of the angle subtended at the edge from the same two points, therefore

[tex]{\angle}PCD=2{\angle}PED[/tex]

[tex]{\angle}PCD=2(55^{\circ})[/tex]

[tex]{\angle}PCD=110^{\circ}[/tex]

Thus, the measure of arc PD is [tex]110^{\circ}[/tex].

Hence, option (C) is correct.

The measure of arc PD is 110. So, The correct option is option C.

Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore

90° = 135° + ∠DEP

∠DEP = 50°

Now, here is given,

∠FEP = 35°

∠FED = ∠FEP + ∠DEP....(1)

Plug the value of ∠FEP = 35° in equation (1),

∠FED = 90

90 = 35 + ∠DEP

∠DEP = 55

∠PCD = 2∠PED

∠PCD = 2 (55)

∠PCD = 110

Therefore, the measure of arc angle PCD is 110.

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Answer:

5x + 6 : 2x² + 12x

Step-by-step explanation:

Width = 4x

Length = x + 6

Perimeter

= 2(4x + x + 6)

= 2(5x + 6)

Area

= 4x(x + 6)

Ratio of perimeter to area:

= 2(5x + 6) : 4x(x + 6)

= (5x + 6) : 2x(x + 6)

= 5x + 6 : 2x² + 12x

Answer:

(5x + 6) : (2x² + 12x)

Step-by-step explanation:

Perimeter = 2(length + width)

= 2[4x + x + 6]

= 2(5x + 6)

Area = length × width

4x × (x + 6)

4x(x + 6)

Perimeter : Area

2(5x + 6) : 4x(x + 6)

(5x + 6) : (2x² + 12x)

The simplified form of 18^1/2 is 3√2

Given the exponential expression

18^1/2

According to power law of Indices:

a½ = \sqrt{a}

Applying this law to the given expression;

This can also be written as:

[tex]18^{1/2} =\sqrt{18}[/tex]

Simplify the radical to have:

[tex]\sqrt{18} = \sqrt{9 \times 2} \\\sqrt{18} = 3\sqrt{2}[/tex]

Hence the simplified form of 18^1/2 is 3√2

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the answer to the problem would be c

ANSWER

The correct choice is C.

EXPLANATION

We know that:

[tex] \sqrt[3]{7} = {7}^{ \frac{1}{3} } [/tex]

We want to simplify:

[tex]( { {7}^{ \frac{1}{3} } )}^{3} [/tex]

The exponent here is 3. This means that the base must multiply itself 3 times.

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } [/tex]

Recall that:

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

This implies that,

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} + \frac{1}{3} + \frac{1}{3} } [/tex]

Simplify:

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{3}{3}} [/tex]

[tex]( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ 1} = 7[/tex]

The correct choice is C

Answer:

30%

Step-by-step explanation:

1) Find the amount of time left to complete

60 minutes total - 42 minutes already played = 18 minutes left

2) Divide the amount of minutes left by the total minutes

18 minutes left ÷ 60 minutes total = 0.3

3) Multiply that value by 100 to turn the decimal into a percent

0.3 * 100 = 30%

Answer:

30%

Step-by-step explanation:

The answer is thirty percent. One way to solve this problem is to start by finding what percent of Vanessa’s practice time forty-two minutes represents.

Let p represent the unknown percent, and set up a proportion that compares the like ratios of parts to wholes.

Divide out the like minutes and cross multiply.

Divide both sides by sixty to solve for the percent of time Vanessa has already practiced.

Subtract seventy percent from one hundred percent to determine the percent of time she has left to practice.

Vanessa still has thirty percent of her practice time to complete.

Answer:

5 weeks

Step-by-step explanation:

So if the plant is 13 inches tall in the beginning every week adds 2 inches.

0 weeks = 13 inch

1st week = 15 inch

2nd week = 17 inch

3rd week = 19 inch

4th week = 21 inch

5th week = 23 inch

So it would take 5 weeks to grow 23 inches

Answer:

5 weeks for the plant to be 23 inches long

Step-by-step explanation:

You could take the size the plant is supposed to be, which is 23 inches long then subtract how tall the plant is which is 13 inches long then divide by 2 because the plant grows 2 inches each week. Or you could use a chart to help you, until you get to 23 inches. please give me the brainliest answer?

1weeks= 13 inches + 2 inches = 15 inches

2weeks= 15 inches + 2 inches = 17 inches

3weeks= 17 inches + 2 inches = 19 inches

4weeks= 19 inches + 2 inches = 21 inches

5weeks= 21 inches + 2 inches = 23 inches

:) Hope this helped!!! Have a good day!!! <3

Answer:

[tex]\large\boxed{x\approx3.1950}[/tex]

Step-by-step explanation:

[tex]\log_ab=c\iff a^c=b\\\\\log_812=x-2\iff8^{x-2}=12\\\\(2^3)^{x-2}=4\cdot3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(x-2)}=2^2\cdot3\qquad\text{use the distributive property}\\\\2^{3x-6}=2^2\cdot3\qquad\text{divide both sides by}\ 2^2\\\\\dfrac{2^{3x-6}}{2^2}=3\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\2^{3x-6-2}=3\\\\2^{3x-8}=3\qquad\text{logarithm of both sides}\\\\\log_22^{3x-8}=\log_23\qquad\text{use}\ \log_aa^n=n\\\\3x-8=\log_23\qquad\text{add 8 to both sides}[/tex]

[tex]3x=\log_23+8\qquad\text{divide both sides by 3}\\\\x=\dfrac{\log_23+8}{3}\\\\\log_23\approx1.5849625\\\\x\approx\dfrac{1.5849625+8}{3}\approx3.1950[/tex]

Answer:

B

Step-by-step explanation:

edge 2020

Answer:

right and obtuse

Step-by-step explanation:

a right triangle has one right angle and two acute angles, and an obtuse triangle has one obtuse angle and two acute ones

i hope that this helps :)

Answer:

D

Step-by-step explanation:

I just took the test on E2020

Answer:

Option D. $119.25

Step-by-step explanation:

Today's stock listing for Parchar Special Effects shown below.

52 wk high  =  160.44

52 wk low   =   81.91

Symbol        =  PCR

Div.              = 7.55

Close           =  114.36

Net change = -4.89

Based on this information today's close is $114.36 and Net change is -4.89. It means the value of yesterday was 4.89 more than today's close.

Therefore, yesterday's price = 114.36 + 4.89 = $119.25

Yesterday's price was $119.25.

Answer:

[tex]n=7[/tex]

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

[tex]\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7[/tex]

Plug back in to check.

[tex]\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857[/tex]

Answer:

7

Step-by-step explanation:

I did it and it was correct! Please make me brainliest!

Hope this helpd! :)

Answer:

9ft*12ft*6ft=648

3*4*2=24

648:24

7y+3

combine like terms.

Hey there!

4y + 3y + 8 - 5

COMBINE the LIKE TERMS

= (4y + 3y) + (8 - 5)

= 4y + 3y + 8 - 5

= 7y + 3

Therefore, your answer is: 7y + 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

362880

Step-by-step explanation:

9! is read as 9 factorial.

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

9! = 362880

Answer:

362,880

9! is also know as 9x all the numbers lower then it, so it would be 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

If you multiply all of those digits together, your result would be 362,880.

Answer:

$ 1.23

Step-by-step explanation:

We are given that Jenna bought 6 pounds of apples for $7.38 and we are to find the unit price per pound of apples.

To find that out, we will simply divide the total price of apples by the number of pounds she bought.

Unit price per pound of apples = [tex] \frac { 7 . 3 8 } { 6 } [/tex] = $1.23

Answer:

They have the same measure.

Step-by-step explanation:

M<ABD and M<DBA have the same measure.

Answer:

segment BC is a hypotenuse

Step-by-step explanation:

the longest side of a right triangle, opposite the right angle.

Answer:

Final answer is $7.52.

Step-by-step explanation:

Given that initial amount P = $2000

Interest rate r = 4.6% = 0.046

Number of compounding periods per year = n = 2 {semiannually}

Time = 2 years

Then future value is given by :

[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]

[tex]A=2000\left(1+\frac{0.046}{2}\right)^{2\left(2\right)}=2190.45[/tex]

Similarly calculate future value for 2nd case:

Given that initial amount P = $2000

Interest rate r = 4.4% = 0.044

Number of compounding periods per year = n = 4 {quarterly}

Time = 2 years

Then future value is given by :

[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]

[tex]A=2000\left(1+\frac{0.044}{4}\right)^{4\left(2\right)}=2182.93[/tex]

then difference = 2190.45 - 2182.93 = 7.52

Hence final answer is $7.52.

Answer:

$7.52

Step-by-step explanation:

Answer:

D or "(4.4 + 4.8)

         _______

                2

Step-by-step explanation: I got it right on USA Test Prep

Answer:

1/k^4

Step-by-step explanation:

Answer: The correct answer would be B.

Step-by-step explanation:

Because....

24 gets the variable because in total that's number of bottles that Marjorie bought. And each day she would open and drink 2 bottles of juice, which is the reason why you are subtracting 24d with 2.

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

The answer is To number two is b

Answer:

Option D (APEX)

Step-by-step explanation:

L= Student has lice

NL= Student has no lice

PT=Test Shows positive

NT=Test Shows negative

P([tex]\frac{NT}{NL}[/tex]) =0.7708 (Probability that a student has no lice and the test shows negative)

P([tex]\frac{NT}{L}[/tex]) = 0.0108 ( Probability that a student has lice and the test shows negative)

Terms Of Percentages

0.98618219 × 100

=98.6

Therefore your answer is 98.6% (Option D)

APEX

The probability that the student doesn't have lice, given that the student tested negative is P ( A ) = 98.6 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the student doesn't have lice, given that the student tested negative be P ( A )

Now , the equation will be

The probability that a student has no lice and the test shows negative is given by P ( NL ) = 0.7708

The probability that a student has lice and the test shows negative is given by P ( L ) = 0.0108

And , The probability that the student doesn't have lice, given that the student tested negative P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]

On simplifying , we get

P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]

P ( A ) = ( 0.7708 ) / [ 0.7708 + 0.0108 ]

P ( A ) = 0.98618

P ( A ) = 98.6 %

Hence , the probability is 98.6 %

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Answer:

(x + 3)^2 + (y - 4)^2 = 3^2 = 9    This matches Answer A.

Step-by-step explanation:

Start with the standard equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - k)^2 = r^2

Here the given point (h, k) is (-3, 4) and the radius is 3.

Substituting these values into the above equation, we get:

(x + 3)^2 + (y - 4)^2 = 3^2 = 9    This matches Answer A.

Answer: (x-3)2 + (y+4)2 =9

Step-by-step explanation:

Rise is the change between the y-coordinates of any two points along a line in the xy-plane. True or False

The rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.

In a graph, the terms "rise" and "run" refer to the vertical and horizontal changes between two points on a line, respectively.

Here,
The rise of a line in the xy-plane is the vertical change between two points on the line, which is measured as the difference between their y-coordinates. The rise is sometimes also called the vertical distance or the vertical change.

Thus, the rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.

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Answer:

b = 8sqrt(3)

Step-by-step explanation:

The triangle has a 30-deg angle and a right angle, so the third angle measures 60 degrees making this a 30-60-90 degree right triangle.

You don't mention which method to use to solve the problem.

You can use trigonometry ratios or the ratios of the lenghts of the sides of a 30-60-90 triangle

I'll use the second method.

In a 30-60-90 triangle, the lengths of the sides are in the ratio:

1 : sqrt(3) : 2

The long leg measures 12 and corresponds to sqrt(3) in the ratio, so we can find the length of the short leg by dividing 12 by sqrt(3).

12/sqrt(3) = [4 * sqrt(3) * sqrt(3)]/sqrt(3) = 4sqrt(3)

The hypotenuse is twice the length of the short leg.

b = 2 * 4sqrt(3) = 8sqrt(3)

The value of b is 8√3 because cos is the ratio of side adjacent to the angle to side opposite to the angle.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

From the cos ratio:

cos30 = 12/b

b = 12/cos30

b = 12/(√3/2)

After factorization:

b = (24√3)/3

b = 8√3

Thus, the value of b is 8√3 because cos is the ratio of side adjacent to the angle to side opposite to the angle.

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Answer:

ANSWER: D AA, x = 5 1/3  

Calculation:  

x/8 = 10/15  

x = (10/15)(8)  

x = 5 1/3  

Step-by-step explanation:

Answer: AA postulate

Step-by-step explanation: