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2 years ago

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1. If 3x + 4y =0 and x= 2y -5 , find the value of (X,y). 2. The sine of an angle is the ratio of the opposite to the? 3. Calcula

te the volume of a cylindrical steel bar which is 8cm long and 1.75cm in radius. (Take ) pi 22/7 Please help.

1 answer:

ddd [48]2 years ago

8 0

Answer:

1.

3x + 4y = 0

x - 2y = 5

Solving them simultaneously we get

x = 2 and y = -1.5

Value of (x , y ) is ( 2 , -1.5)

2. Sine of an angle is the ratio of the opposite to the Hypotenuse

3.

Volume of a cylinder = πr²h

r = radius h = height

V = 22/7 × 1.75² × 8

V = 22/7× 24.5

V = 77cm³

Volume of the cylinder is 77cm³

Hope this helps.

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The ratio of Max’s rice to Victor’s rice to Roman’s rice is 3:2:4. If Victor gives ¼ of his rice to Roman, what will be the rati

Natali [406]

Answer:

Max: Victor: Roman

6: 3: :9

Step-by-step explanation:

Max: Victor: Roman

3 : 2 : 4

Take away 1/4 of 2

1/4 of 2 =

1/4*2 = 1/2

2-1/2 =

4/2 - 1/2 = 3/2

Victor now has 3/2

Roman gets 1/2 so he has

4+ 1/2

8/2 + 1/2 = 9/2

Max: Victor: Roman

3 : 3/2 : 9/2

But we normally don't leave fractions in the ratio's

Multiply each number by 2 (the ratio won't change)

3*2 : 3/2*2 : 9*2

6: 3: :9

5 0

2 years ago

£360 is shared between Abby, ben, chloe and denesh. the ratio of the amount abby gets to the amount that ben gets is 2:7. chloe

Gwar [14]

Answer:

$210$ £

Step-by-step explanation:

Let amount that abby gets $=x$

Given that $\frac{Amount\ of\ abby}{Amount\ of\ Ben} =\frac{2}{7}$

$Amount\ of\ ben=\frac{7}{2}\times Amount\ of\ abby\\ =\frac{7}{2}\ x$

Amount of chole + amount of Danesh $=1.5\times$ of abby

$=1.5 \ x$

$x +\frac{7}{2} \ x + 1.5 \ x =360\\\\6x=360\\\\x=\frac{360}{6}\\\\x=60$

$Amount\ of\ Ben =\frac{7}{2}\ x = \frac{7}{2} \times 60\\\\=7\times 30\\\\=210$

6 0

3 years ago

Please help!! Please give step by step so i can understand

miss Akunina [59]

Answer:

p = - 14

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ ÷ $a^{n}$ = $a^{(m-n)}$

$(a^{m}) ^{n}$ = $a^{mn}$

Note 81 = 9² and 729 = 9³

Given

$(81)^{-4}$ ÷ $(729)^{2-p}$

= $(9^{2}) ^{-4}$ ÷ $(9^{3}) ^{2-p}$

= $9^{-8}$ ÷ $9^{6-3p}$

= $9^{-8-(6-3p)}$

= $9^{-8-6+3p}$

= $9^{3p-14}$

Thus

$9^{3p-14}$ = $9^{4p}$

Since bases on both sides are equal then equate the exponents

4p = 3p - 14 ( subtract 3p from both sides )

p = - 14

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2 years ago

What addition doubles fact can help to find 4+3?

lubasha [3.4K]

4+4=8
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2 years ago

What does x equal? 2x-8=2x+6+x

Charra [1.4K]

2x-8=2x+6+x first put all the like terms together
2x-8=3x+6 subtract 2s from both sides
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7 0

2 years ago

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