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3 years ago

1. What would be the depth of water of 3/4 filled rectangular pool, if pool is 10 m long, 7 m wide and 8 m deep?

Mathematics

1 answer:

Vladimir79 [104]3 years ago

7 0

Step-by-step explanation:

Area if the rectangular pool= 10m×7m×8m

= 560m³

3/4 of 560m³

3/4×560

= 420

Hence , the water occupies 420m³ place

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Solve: 2x+7/5 - x-3/10 = x+1/15<br>find the value of x and verify the result will RHS

choli [55]

Step-by-step explanation:

<h3><u>Given Question :- </u></h3>

Solve for x :-

$\dfrac{2x + 7}{5} - \dfrac{x - 3}{10} = \dfrac{x + 1}{15}$

$\red{\large\underline{\sf{Solution-}}}$

Given linear equation is

$\rm :\longmapsto\: \dfrac{2x + 7}{5} - \dfrac{x - 3}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{2(2x + 7) - (x - 3)}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{4x + 14 - x + 3}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{(4x - x) + (14 + 3)}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{3x + 17}{10} = \dfrac{x + 1}{15}$

On multiply by 5 on both sides,

$\rm :\longmapsto\: \dfrac{3x + 17}{2} = \dfrac{x + 1}{3}$

On cross multiplication, we get

$\rm :\longmapsto\:3(3x + 17) = 2(x + 1)$

$\rm :\longmapsto\:9x +51 = 2x + 2$

$\rm :\longmapsto\:9x - 2x = 2 - 51$

$\rm :\longmapsto\:7x = - 49$

$\bf\implies \:x = - 7$

<h3><u>VERIFICATION</u></h3>

Consider, LHS

$\red{\rm :\longmapsto\: \dfrac{2x + 7}{5} - \dfrac{x - 3}{10}}$

On substituting the value of x, we get

$\red{\rm \: = \: \dfrac{2( - 7) + 7}{5} - \dfrac{ - 7 - 3}{10}}$

$\red{\rm \: = \: \dfrac{ - 14 + 7}{5} - \dfrac{ - 10}{10}}$

$\red{\rm \: = \: \dfrac{ - 7}{5} + 1}$

$\red{\rm \: = \: \dfrac{ - 7 + 5}{5}}$

$\red{\rm \: = \: \dfrac{ - 2}{5}}$

Consider RHS

$\green{\rm :\longmapsto\:\dfrac{x + 1}{15}}$

On substituting the value of x, we get

$\green{\rm \: = \: \dfrac{ - 7 + 1}{15}}$

$\green{\rm \: = \: \dfrac{ - 6}{15}}$

$\green{\rm \: = \: \dfrac{ - 2}{5}}$

$\rm \implies\:LHS=RHS$

HENCE, VERIFIED

5 0

3 years ago

Read 2 more answers

A random sample of 1,175 people in a certain country were asked whether they thought climate change was a problem. The sample pr

il63 [147K]

Answer: c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.

Step-by-step explanation:

Interpretation for 95% confidence interval :

A person can be 95% confident that the true population parameter lies in it.

By considering the given information , we have

population parameter→ p (Proportion of people who think climate change )

95 percent confidence interval = (0.146, 0.214)

Interpretation : We can be 95% confident that the true population proportion of people who think climate change lies between 0.146 and 0.214.

So , the correct answer is

c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.

8 0

3 years ago

which transformation causes the described change in the graph of the function y = cos x? the transformation results in a horizon

luda_lava [24]

The transformations that can occur to the graph of the function y = cos x that will exhibit changes would be changes to the angle, or changes to the coefficient. The transformations can be viewed as follows:

y = cos x transforms to y = cos (kx)

k > 1 ; a horizontal shrink occurs
0 < k < 1 ; a horizontal stretch occurs

y = cos x transforms to y = A cos x

|A| > 1 ; a vertical stretch occurs
|A| < 1 ; a vertical shrink occurs

5 0

4 years ago

Mr.kendall will build a dollhouse bed as a scale model of an actual bed. The actual bed is 40 inches wide and 78ninves long. The

NISA [10]

The answer would be 64

7 0

3 years ago

Ryan buys two hoodies and a pair of sneakers that cost 85.36. If his total is 145.50, how much did one hoodie cost?

RoseWind [281]

Answer:

72.75

Step-by-step explanation:

1) take the big number and divide it by 2

2) the answer will be 72.75 per 1 hoodie

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2 years ago