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joja [24]
3 years ago
6

Pls hrlp me on this​

Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

0,4

Step-by-step explanation:

1. 2/5=0,4; 6/15=0,4; 8/20=0,4. It means, the constant of proportionality is 0,4.

2. if the constant value is 0,4, then x:1=0.4 ⇒ x=0,4

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Find the missing side lengths. leave your answers as radicals in simplest form.
Murrr4er [49]

Answer:

x = 4 , y = 2

Step-by-step explanation:

Using the sine / tangent ratios in the right triangle and the exact values

sin60° = \frac{\sqrt{3} }{2} and tan60° = \sqrt{3} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{2\sqrt{3} }{x} = \frac{\sqrt{3} }{2} ( cross- multiply )

x \sqrt{3} = 4\sqrt{3} ( divide both sides by \sqrt{3} )

x = 4

and

tan60° = \frac{opposite}{adjacent} = \frac{2\sqrt{3} }{y} = \sqrt{3} ( multiply both sides by y )

y \sqrt{3} = 2\sqrt{3} ( divide both sides by \sqrt{3} )

y = 2

6 0
3 years ago
mr stephens needs to haul 1,518 tons of rocks from a construction site. His dump truck can hold 26 ton per load. how many tons w
lisov135 [29]

Answer:

10

Step-by-step explanation:

1518 divided by 26 is 58 remainder 10.

... 1518 = 26×58 + 10 = 1508 + 10

Mr. Stephens will make 58 trips with a full load. After that, 10 tons of rock will remain.

6 0
3 years ago
If 4.5 pounds of cherries cost $10, what is the unit price per pound
djverab [1.8K]
Simply divide $10 by 4.5 to get the answer $2.22 per pound (actually the 2's keep repeating.  
I guess the store might charge $2.23 since some will round any overage to the next penny.
3 0
4 years ago
There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b
WARRIOR [948]

Answer:

C) I and III only

Step-by-step explanation:

Let full pool is denoted by O

Days Hose x takes to fill pool O = a

Pool filled in one day x = O/a

Days Hose y takes to fill pool O = b

Pool filled in one day y = O/b

Days Hose z takes to fill pool O = c

Pool filled in one day z = O/c

It is given that

                         a>b>c

a>b>c>d\\\implies x

Days if if x+y+z fill the pool together = d

1 day if x+y+z fill the pool together =O(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=\frac{O}{d}---(1)

I) d < c

d are days when hose x, y, z are used together where as c are days when only z is used so number of days when three hoses are used together must be less than c when only z hose is used. So d < c

III) \frac{c}{3}

Using (1)

\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad(a>b>c)\\(ab+bc+ca)\frac{abc}{3ab}\\\\d>\frac{c}{3}

Similarly

\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad a>b>c\\(ab+bc+ca)>3bc\\\\d=\frac{abc}{ab+bc+ca}

So,

\frac{c}{3}

3 0
3 years ago
PLEASE HELP ASAP!!!!
Nadusha1986 [10]
Your answer would be D.
8 0
4 years ago
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