All categories

3 years ago

Seventy three and sixty five hundredths

1 answer:

4 0

73.65

when and comes into play it means 73 is separated from the 65 hundredths

tens,ones AND 6 tenths and 5 hundredths

You might be interested in

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i

Delicious77 [7]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

$\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}$

Rewriting it in terms of x° as follows,

$\sin x=\dfrac{opposite\:side}{hypotenuse\:side}$

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

$\sin x=\dfrac{FE}{FG}$

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

$\sin x=\dfrac{12}{18.6}$

To find the value of x, taking inverse sin.

$x=\arcsin \left(\dfrac{12}{18.6}\right)$

Calculating the value,

$x=40.17$

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

8 0

3 years ago

PLEASE HELP ASAP 15 POINTS

kaheart [24]

1/2(4x-5) + 5/2 = 10

Use the distributive property:

2x - 5/2 + 5/2 = 10

Use addition property:

2x = 10

Divide both sides by 2:

x = 10/2

x = 5

4 0

3 years ago

Factorise k^2 + 5k + 6

fenix001 [56]

Answer: (k+2) (k+3)

Step-by-step explanation:

Factor 5^2 +5k+6 using the AC method.

5 0

3 years ago

Simplify 6(х + 2) + 7

Tatiana [17]

Answer:

6x+19

Step-by-step explanation:

distribute the six to get 6x+12+7

combine like terms 6x+19

move 19 to other side 6x=19

divide by 6

x=3.1666666667

6 0

3 years ago

Read 2 more answers

What is the least common multiple of 6x^2+39x-21 and 6x^2+54x+84?

SOVA2 [1]

Answer:

$12x^3+102x^2+114x-84$

Step-by-step explanation:

Given polynomials:

$\begin{cases} 6x^2+39x-21\\6x^2+54x+84 \end{cases}$

Factor the polynomials:

Polynomial 1

$\implies 6x^2+39x-21$

$\implies 3(2x^2+13x-7)$

$\implies 3(2x^2+14x-x-7)$

$\implies 3[2x(x+7)-1(x+7)]$

$\implies 3(2x-1)(x+7)$

Polynomial 2

$\implies 6x^2+54x+84$

$\implies 6(x^2+9x+14)$

$\implies 6(x^2+7x+2x+14)$

$\implies 6[x(x+7)+2(x+7)]$

$\implies 6(x+2)(x+7)$

$\implies 2 \cdot 3(x+2)(x+7)$

The lowest common multiplier (LCM) of two polynomials a and b is the smallest multiplier that is divisible by both a and b.

Therefore, the LCM of the two polynomials is:

$\implies 2 \cdot 3(x+7)(x+2)(2x-1)$

$\implies (6x^2+54x+84)(2x-1)$

$\implies 12x^3+108x^2+168x-6x^2-54x-84$

$\implies 12x^3+102x^2+114x-84$

8 0

2 years ago

Read 2 more answers