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3 years ago

5

The sign says that the price marked on all music equipment is 30% off the regional price you buy an electric guitar for the sale

price of $315 what is the original price

2 answers:

kolezko [41]3 years ago

8 0

I NEED 5PT but the answer 95 and 1/2 i think

bezimeni [28]3 years ago

7 0

For number 1,I think the answer is 9

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PLZ HELP ME OUT WITH THIS!!!!!!!!

Paladinen [302]

Answer:

B. 25√3

Step-by-step explanation:

Use trigonometric ratio formula to find the length and width of the rectangle

Thus:

✔️Length of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let length of rectangle = x = adjacent side

Therefore:

Cos 30° = x/10

10*cos 30 = x

10*√3/2 = x (cos 30 = √3/2)

5√3 = x

x = length of rectangle = 5√3

✔️Width of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let width of rectangle = y = opposite side

Therefore:

Sin 30° = y/10

10*sin 30 = y

10*½ = y (sin 30 = 1/2)

5 = y

y = width of rectangle = 5

✔️Area of rectangle = length * width = 5√3 * 5 = 25√3

6 0

3 years ago

In 4 regular season basketball games, James Harden scored 141 points. Write an equation to represent the number of points scored

SashulF [63]

Answer:

141÷ 4= x

Step-by-step explanation:

I think it's self- explanatory there

5 0

3 years ago

Read 2 more answers

Please helloollllllppppp

ipn [44]

Total blocks = 35+47+22+21 = 125

Sum of red blocks and green blocks = 47+35 = 82

So the probability = 82/125 = 0.656

3 0

3 years ago

Read 2 more answers

Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is

Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

$(x^2-12x+35)(x^2+10x+24)=504$

We have to find the sum of positive roots of the equation.

$x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504$

$x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504$

$x^4-2x^3-61x^2+62x+840-504=0$

$x^4-2x^3-61x^2+62x+336=0$

Factor of 336

2,3,4,6,8,7,

Let x=2

$2^4-2^4-61(2^2)+62(2)+336\neq0$

x=2 is not the root of equation

x=-2

$(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0$

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

$3^4-2(3^3)-61(3^2)+62(3)+336=0$

Therefore, x=3 is the root of equation.

$(x+2)(x-3)(x^2-x-56)=0$

$(x+2)(x-3)(x^2-8x+7x-56)=0$

$(x+2)(x-3)(x(x-8)+7(x-8))=0$

$(x+2)(x-3)(x-8)(x+7)=0$

$x-8=0\implies x=8$

$x+7=0\implies x=-7$

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0

3 years ago

Y = x² - 4x convert from standard to vertex form

Pepsi [2]

Answer:

$y = (x-2)^{2} -4$

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so $2^{2}$

$y + ? = x^{2} - 4x + ?$

$y + 2^{2} = x^{2} - 4x + 2^{2}$

$y + 4 = x^{2} - 4x + 4$

Now we can factor the expression

$y + 4 = (x-2)^{2}$

Move the 4 to the other side to isolate y which changes the sign

$y = (x-2)^{2} - 4$

6 0

2 years ago