Ask question

Ask question

All categories

3 years ago

8

A game company ordered wooden pegs in 4 different colors. They ordered 6,559,595 of each color. How many pegs did the game compa

ny order in all?

1 answer:

Rufina [12.5K]3 years ago

8 0

6,559,595 pegs x 4 colors = 26,238,380

You might be interested in

1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

<u>Step-by-step explanation:</u>

$\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}$

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

$\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}$

$\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}$

$\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}$

$\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}$

$\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}$

$\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark$

3 0

3 years ago

Help!! Simplify (see photo) pls explain.

wolverine [178]

Answer:

The answer to your question is: 4x²y³

Step-by-step explanation:

Simplify ∛(-64x⁶y⁹)

First, find the prime factors of 64

64 2

32 2

16 2

8 2

4 2

2 2

1 then 64 = 2⁶

∛ (-2⁶x⁶y⁹)

Roots can be expressed as fractional powers where the numerator is the power of the number inside the root and the denominator is the root.

Ex. -2 ⁶/³ x⁶/³ y⁹/³

Now simplify

(-2)² x² y ³

Finally

4x²y³

4 0

3 years ago

select the items will be best measured in grams more called apply a watermelon B lettuce leaf sea grape din

Alexandra [31]

I think Lettuce leaf but it isn't clear what you're asking.

5 0

4 years ago

A party of 8 fishermen rented a boat. Two of the fishermen had to withdraw from the party and, as a result, the share of each of

mixer [17]

Answer:

$96

Step-by-step explanation:

let the the amount each men pay when they were 8 be x

let the total amount for the boat rental be y

8x=y .....................equ1

if two men withdraw from the party, and the amount each men pay increases by $4 then;

(x+4)6 =y

6x+24=y ...........equ2

make x the subject of formula from equ1;

x=y/8

substitute x as y/8 into

6(y/8) +24 =y

3y/4 +24=y

24=y-(3y/4)

$24=\frac{4y-3y}{4}$

24=y/4

y=24*4

y=$96

8 0

3 years ago

Find the measure of ∠e, if m∠g = x + 17 and m∠f = 4x + 3. Answer choices: 131 49 4.6 15

svetoff [14.1K]

Answer:

$\boxed{131}$

Step-by-step explanation:

→ We know that co-interior angles add up to 180°, so we can set up an equation

x + 17 + 4x + 3 = 180

→ Collect the x terms

5x + 17 + 3 = 180

→ Collect the integers

5x + 20 = 180

→ Minus 20 from both sides to isolate 5x

5x = 160

→ Divide both sides by 5 to isolate x

x = 32

⇒ Now we know the value of x, we can substitute it in back into m∠f because we know angles on a straight line add up to 180°

4x + 3 when x = 32 ⇔ 4 × 32 + 3 ⇔ 128 + 3 ⇔ 131

3 0

3 years ago