Circle o has diameter AB and chord AC. Calculate the measure of 2 CAB if BC = 62".
D

Answer:

x=0.66+1.88i

x=0.66-1.88i

Step-by-step explanation:

Given

3[tex]x^{2}[/tex]-4x+12=0

using the Quadratic Formula where

a = 3, b = -4, and c = 12

[tex]x=-b[/tex]±[tex]\sqrt{b^{2}-4ac } /2a\\[/tex]

x=-(-4)±[tex]\sqrt{(-4)^{2}-4(3)(12) } /2(3)[/tex]

x=4±[tex]\sqrt{16-144} /6[/tex]

x=-4±[tex]\sqrt{128} /6[/tex]

[tex]b^{2} -4ac<0\\[/tex]

x=-4±[tex]8\sqrt{2} i[/tex]/6

[tex]x=\frac{2}{3}[/tex]± [tex]\frac{4\sqrt{2}i }{3}[/tex]

Which becomes,

x=0.66+1.88i

x=0.66-1.88i

The value of x will be x=0.66+1.88i

x=0.66-1.88i

Answer:

The answer is A

Step-by-step explanation:

C’(4, –2)

The coordinates of C' are (1, 0)

A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.

Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).

When Triangle ABC is translated 6 units to the right and 1 units up.

We know that rule for translating b unit up and a unit right is

(x, y) → (x+a, y+b)

Hence, the coordinates for C' =

(-5, -1) = (-5+6, -1+1) = (1, 0)

Hence, the coordinates of C' are (1, 0)

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Answer:

No solution is possible form the given informantion

Step-by-step explanation:

There seems to be something missing.

Answer:

15 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Rectangle: A = lw

Step-by-step explanation:

Step 1: Define

Identify variables

l = 5 cm

w = 3 cm

Step 2: Find Area

Answer:

so legendary is twice epic

epic is twice rare

rare is 2.5 uncommon

uncommon twice common

Answer:

The required probability is 0.462.

Step-by-step explanation:

Probability to play the song = 6/7

Probability not to play the song = 1 - 6/7 = 1/7

Required probability  

= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days

[tex]=\left (\frac{6}{7} \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7} \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462[/tex]

Answer:

x = 2

Step-by-step explanation:

Given

2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides

15x - 10 = 10 + 6 + 2x , that is

15x - 10 = 16 + 2x ( subtract 2x from both sides )

13x - 10 = 16 ( add 10 to both sides )

13x = 26 ( divide both sides by 13 )

x = 2

Answer:

2

Step-by-step explanation:

15x-10=10+6+2x

15x-2x=10+10+6

13x=26

divide 13 both sides

x=2

Answer:

1 : 2

Step-by-step explanation:

π / 2π = 1/2

1 : 2

Answer:

110°

Step-by-step explanation:

Each tick line in a protractor shows 10°. So the next is 110° inclined.

Answer:

110 degrees hope this helps

Step-by-step explanation:

Answer:

D.    x = 12, solution is not extraneous

Step-by-step explanation:

-4√(x - 3) = -12

Divide both sides by -4

√(x - 3) = 3

Square both sides

x - 3 = 9

add 3 to both sides

x = 12

To see if it's extraneous plug into original problem

-4√(12 - 3) = -12

-4√(9) = -12

-4 * 3 = -12

-12 = -12

not extraneous

Answer:

x = 7/2

Step-by-step explanation:

2x + 5 = 12

Subtract 5 from each side

2x + 5-5 = 12-5

2x = 7

Divide each side by 2

2x/2 = 7/2

x = 7/2

Answer:

[tex]x = \frac{7}{2} [/tex]

Step-by-step explanation:

Let's solve:

[tex]2x+5=12[/tex]

Step 1: Subtract 5 from both sides.

[tex]2x+5−5=12−5 \\

2x=7[/tex]

Step 2: Divide both sides by 2.

[tex] \frac{2x}{2} = \frac{7}{2} \\

x= \frac{7}{2} [/tex]

Answer:

82

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

10 times 8.2 would be 82 so you just divide 82 by 10

Answer:

Slope = 4

Step-by-step explanation:

Consider two set of point through which the line passes.

Let it be ( 0, 4 ) and ( -1 , 0)

Find slope .

[tex]Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )[/tex]

[tex]Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4[/tex]

do you mean

6+(-5-7)/2-8(3)?

-5-7= -12

6+-12/2-8(3)

8(3)=24

6+-12/2-24

-12/2=-6

6+-6-24

6+-6=0

0-24= 24

Answer:

Subtract 7 from –5.

Step-by-step explanation:

Answer: None because i dont like cans of paint

Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint

Answer:

this is the answer of your question

Step-by-step explanation:

[tex]i) \: {(729)}^{ \frac{1}{6} } [/tex]

[tex] = {(3 \times 3 \times 3 \times 3 \times 3 \times 3)}^{ \frac{1}{6} } [/tex]

[tex] = \sqrt[6]{(3 \times 3 \times 3 \times 3 \times 3 \times 3)}[/tex]

= 3 (Ans)

[tex]ii) \: {(64)}^{ \frac{2}{3} } [/tex]

[tex] = \sqrt[3]{ {64}^{2} } [/tex]

[tex] = \sqrt[3]{(64 \times 64)} [/tex]

[tex] = \sqrt[3]{ {2}^{12} } [/tex]

[tex] = {(2)}^{ \frac{12}{3} } [/tex]

[tex] = {2}^{4} [/tex]

= 16 (Ans)

[tex]iii) \: {(243)}^{ \frac{6}{5} } [/tex]

[tex] = {( \sqrt[5]{ {243} })}^{6} [/tex]

[tex] = {3}^{6} [/tex]

= 729 (Ans)

Step-by-step explanation:

total wood= 45½=22.5 units

cut wood= 8⅞= 7 units

wasted wood= 1/16=0.06

now wood left is,

total wood -cut wood-wasted wood

22.5-7-0.06

15.44 units

Answer:

m<HFG = 31

Step-by-step explanation:

We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.

21 + x + 31 = 2x + 52

x + 52 = 2x + 52

x = 0

Now, we substitute x into the expression of m<HFG:

m<HFG = x + 31

m<HFG = 0 + 31

m<HFG = 31

Answer:

A = $12.30

Step-by-step explanation:

15 × 82 = 12.3

100

Answer:

The standard equation is 7x + y = 9

Step-by-step explanation:

Equations given are:  

7x + 3 = 5 and y - 1 = 6

Set both given equations equal to zero, then combine them into one standard form equation

Set the equations to zero by moving the constant from R.H.S to L.H.S

7x + 3 - 5 = 0

7x - 2 = 0 ---- eq 1

y - 1 = 6

y - 1 - 6 = 0

y - 7 = 0 ----- eq 2

We have to combine eq 1 and eq 2

7x - 2 + y - 7 = 0

7x + y - 9 = 0

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Thus the standard equation is:

7x + y - 9 = 0

7x + y = 9

Thus the standard equation is 7x + y = 9

Answer:

DE is congruent to BE , ED is congruent is EB and the last one is midpoint.

Step-by-step explanation:

Answer:

-7j-k-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.

10k + 17 - 7j - 18 - 11k

10k -11k + 17 - 18 - 7j                Move to group like terms together.

-k - 1 - 7j

Answer:

0.9

Step-by-step explanation:

0.7*(1.5 + y) = 3.5y - 1.47

or, (0.7*1.5) + 0.7y = 3.5y - 1.47

or, 1.05 + 1.47 = 3.5y - 0.7y

or, 2.52 = 2.8y

or, y = 2.52/2.8

or, y = 0.9

Hope this will help. Please mark me brainliest.

Answer:

The correct ans is in the picture

Step-by-step explanation:

Don't worry it is 100% correct!

Answer:

B. 6

Step-by-step explanation:

3³ x 3³ = 3⁶

The answer is 6

Answer:

B) 6

Step-by-step explanation:

The reason for this is really awesome and is clearly seen when you expand it.

x^3= x times x times x

x^3= x times x times x

x^3 times x^3= x times x times x times x times x times x= x^6

Answer:

the answer would be 270

Step-by-step explanation:

i can explain later:

since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.

Answer:

runner 1 runs with 9 miles / hour

runner 2 runs with 7 miles / hour

Step-by-step explanation:

x = speed of runner 1

y = speed of runner 2

2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles

2x - 2y = 4

x - y = 2

x = y + 2

1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16

x + y = 16

y + 2 + y = 16

2y + 2 = 16

2y = 14

y = 7 miles / hour

x = y + 2 = 9 miles / hour