A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of gras
area where the tree once was?

Answer:

d° = 62°

e° = 90°

f° = 27°

g° = 27°

h° = 118°

j° = 62°

k° = 63°

Step-by-step explanation:

The relationship between the given angles are;

k° = 63° (Vertically opposite angles)

63° + f° = 90° (Given complementary angles)

∴ f° = 90° - 63° = 27°

f° = 27°

g° = f° (Vertically opposite angles)

∴ g° = f° = 27°

g° = 27°

e° + 63° + f° = 180° (The sum of angles on a straight equals 180°)

∴ e° = 180° - (63° + r°) = 180° - (63° + 27°) = 90°

e° = 90°

h° = 118° (Vertically opposite angles)

118° + d° = 180° (The sum of angles on a straight equals 180°)

∴ d° = 180° - 118° = 62°

d° = 62°

j° = d° (Vertically opposite angles)

∴ j° = d° = 62°

j° = 62°

Answer:

185

Step-by-step explanation:

14.8 / 0.08 = 185

Best of Luck!

Answer:

185

Step-by-step explanation:

next time you get a question like that use symbolab

Answer:

80 ounces is heavier by 8 ounces or half a pound

Step-by-step explanation:

1 pound = 16 ounces

4.5*16= 72 ounces

Step-by-step explanation:

The location of A is 3.2

The location of A' is 6.4

A represent pre image A' represent the new image.

The scale factor of A to A' is 2 since 3.2 x 2 =6.4

Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.

Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).

Step-by-step explanation: i hope this helps im sorry if this didnt help

Answer:

40, 42 and 44

Step-by-step explanation:

Mark these even consecutive integers as (2n-2), 2n and (2n+2)

Note that since they are integers, n > 0 and 2n is always even

Writing the equation

(2n-2) * 2n = 38 * (2n+2) + 8

// divide both sides by 2

(2n-2) * n = 19 * (2n+2) + 4

[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4

[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0

[tex]2n^{2}[/tex] - 40n - 42 = 0

// divide both sides by 2

[tex]n^{2}[/tex] - 20n - 21 = 0

// rewrite the equation

[tex]n^{2}[/tex] + n - 21n - 21 = 0

n * (n+1) - 21n - 21 = 0

n * (n+1) - 21 * (n+1) = 0

(n+1) * (n-21) = 0

// separate the two possible cases

n + 1 = 0 and n - 21 = 0

n = -1              n = 21

Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21

Calculating the consecutive even integers

2n - 2 = 2 * 21 - 2 = 40

2n = 2 * 21 = 42

2n + 2 = 2 * 21 + 2 = 44

Answer:

Total possible outcomes = 12

{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}

Step-by-step explanation:

Bag 1 = { 1, 2, 3}

Bag 2 = {A, B, C, D}

Sample space :

Size of bag A * size of bag B

3 * 4

= 12

Answer:

0

Step-by-step explanation:

7c =

7(0) = 0

hope you understand

Answer:

since the c is 0.. then substitute c as 0 in 7c...

hence the equation will be 7(0)...

equals to 7×0

the answer is 0

Answer: m=20

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

Divide 11.78 by 1.9. Then you will get 6.2.

Your welcome in advanced.

-YourAverage10YearOld

f(2x-3)=4x+5

Let, 2x-3=g

x=(g+3)/2

So,f(2{g+3}/2 -3)=4(g+3)/2 + 5

f(g)=2g+11

So,f(x)=2x+11

f(-2)=7 ##

Answer:

f(2x - 3) = 4x + 5

f(2x-3)=2(2x-3)+11

f(x)=2x+11

f(-2)=2×-2+11=-4+11=7

Step-by-step explanation:

1(

m<1= 62°

2)

m<1=90°

3)

180-70-65=45

m<1= 45°

4)

180-90-30=60

m<1= 60°

Answer:

190,944 possibilities

Step-by-step explanation:

2 x 6 x 52 x 51

Answer:

72.1110255093 cm

Step-by-step explanation:

round it if you have to

Answer:

75 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with d as the hypotenuse.

Using the right triangle formed on the left and using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = 45² + 60² = 2025 + 3600 = 5625 ( take square root of both sides )

d = 75

The diagonal is 75 cm

Answer:

because since the question is 639 / 6

we immediately know that 600 / 6 is 100

639 / 6 = 106.5

Answer:

You just need a little conversion to get the answer.

[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]

Given:

The sum of three numbers is 212 .

The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.

To find:

The unknown numbers.

Solution:

We have,

First : Second = 13:16

Second: Third = 2:3

We need to combine these ratios, to get a single ratio for all three numbers.

Second: Third = 2×8:3×8 = 16:24

Now,

First: Second: Third = 13:16:24

Let the first, second and third numbers are 13x, 16x and 24x respectively.

[tex]13x+16x+24x=212[/tex]

[tex]53x=212[/tex]

[tex]x=\dfrac{212}{53}[/tex]

[tex]x=4[/tex]

So, the numbers are,

[tex]First=13x[/tex]

[tex]First=13(4)[/tex]

[tex]First=52[/tex]

Similarly,

[tex]Second=16x[/tex]

[tex]Second=16(4)[/tex]

[tex]Second=64[/tex]

And,

[tex]Third=24x[/tex]

[tex]Third=24(4)[/tex]

[tex]Third=96[/tex]

Therefore, the three unknown numbers are 52, 64, 96.

Answer:

Angle 1 is 57 degrees

Angle 3 is 57 degrees

Angle 4 is 123 degrees

Step-by-step explanation:

Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57

Then for angles one you do the same maththat you do for finding angle 3

Then for angles 4 subtract 180-57=123

Answer:

mark brainlist please

Step-by-step explanation

-2x+7y=16 x=-8,0 y=0,16/7

8x-6y=24 y=(3,0) x=(0,-4)

Answer:

ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here:  https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r     is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2

Answer:

ok ask your self what is 4x20+4 done pss its 84...

Step-by-step explanation:

ok

Answer:

84x

Step-by-step explanation:

Equation:

X(4+20)

=24x

X(24+60)

=84x

Answer:

Simplifying

10x + -5(3x + -1) = 15

Reorder the terms:

10x + -5(-1 + 3x) = 15

10x + (-1 * -5 + 3x * -5) = 15

10x + (5 + -15x) = 15

Reorder the terms:

5 + 10x + -15x = 15

Combine like terms: 10x + -15x = -5x

5 + -5x = 15

Solving

5 + -5x = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + -5x = 15 + -5

Combine like terms: 5 + -5 = 0

0 + -5x = 15 + -5

-5x = 15 + -5

Combine like terms: 15 + -5 = 10

-5x = 10

Divide each side by '-5'.

x = -2

Simplifying

x = -2

Step-by-step explanation:

Answer:

(-2)(100) or 10^2 is 100

Step-by-step explanation:

(x -2)(x+100) =x

Additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).

" If z = a +bi be the given complex number, then its conjugate is represented by [tex]\bar{z}[/tex] = a -bi , where  real parts remain same only imaginary part  get changed with opposite sign."

Theorem used

Conjugate Root theorem

Complex conjugate root theorem states that if P(x) is a polynomial in one variable with real coefficient , for P(x) if one root is a + bi  with real numbers a and b then its conjugate that is a - bi is also another additional root of P(x).

According to the question,

Two given roots of polynomial function with rational coefficients are -2i and √10.

As per Conjugate root theorem,

Here one root is 0 - 2i then other root is its conjugate 0 + 2i

Also one root is 0 + √10 then another root is 0 - √10.

Therefore, two additional roots are 2i and -√10.

Hence, additional roots of polynomial function P(x) with rational coefficients are (2i) and   (- √10).

Learn more about conjugate of complex number here

https://brainly.com/question/18392150

#SPJ2

Answer: 8.25cm

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle:

[tex]a^2+b^2=c^2[/tex]

'A' and 'B' being the legs and 'C' being the hypotenuse.

[tex]16^2+b^2=18^2\\256+b^2=324\\b^2=68\\b=\sqrt{68}=8.25cm[/tex]

Answer:

40

Step-by-step explanation:

The frequency column gives the number of houses in the sample, then

number of houses = 5 + 11 + 23 + 1 = 40

Answer:

it'll be B

Step-by-step explanation:

ive took the test turned out i got it right

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

15

Step-by-step explanation:

Hope it is helpful....

Answer:

The Square root of 225 is 15

Answer:

3a5a2b

Step-by-step explanation:

You can prime factorize 15: 3 x 5

Answer:

17

Step-by-step explanation:

Remark

In this formation, the chords cut each other so that

Equation

(3x - 1) * 3 = 12*(x -2)        Remove the brackets.

Solution

9x - 3 = 12x - 24                       Add 24 to both sides.

9x - 3 + 24 = 12x - 24 + 24      Combine

9x + 21 = 12x                            Subtract 9x from both sides

9x - 9x +21 = 12x - 9x

21 = 3x                                     Divide by 3

21/2 = 3x/3              

7 = x

Find QR

QR = 12 + x - 2

QR = 10 + 7

QR = 17