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2 years ago

Work out how many litres of water she saves by having a shower instead of a bath

Mathematics

1 answer:

Ber [7]2 years ago

5 0

Water used for shower = 10.6 x 7 = 74.2 liters

Water used for bath = 35 x 120 x 40 = 168 000 cm³ = 168 liters

Difference = 168 - 74.2 = 93.8 liters.

Answer: She saved 93.8 liters of water by showering instead of taking a bath.

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find the length of CD.

svetlana [45]

The length for the problem is 3

6 0

2 years ago

Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

$=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)$

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

4 0

2 years ago

Read 2 more answers

Translate the algebraic expression below into a written expression.

tensa zangetsu [6.8K]

Answer:

Its C

Step-by-step explanation:

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2 years ago

Peter spent half the money on his gift card and coffee and he loaded another $10 on the gift card how much was on the gift card

cestrela7 [59]

Answer:

$80 was on the gift card to begin with

Step-by-step explanation:

Let the initial money be x

Peter spent (1/2)*x

Peter added 10

Before adding more money on the gift card Peter had x -(1/2)x left on the gift card which is (1/2)x

After loading more money Peter had (1/2)x + 10

(1/2)x = 40 (money spent by Peter)

x/2 = 40

x = 80

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3 years ago

Find the value of the nearest tenth X=

Alex777 [14]

Answer:

12,7

Step-by-step explanation:

use pathogaras theorem

c^2=a^2+b^2

8 0

2 years ago