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3 years ago

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:

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) $\frac{c}{3}$