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3 months ago

5

A waterbed filled with water has the dimensions 8ft by 7 ft by .75 ft taking the density of water to be 1.00/gm cubed how many k

ilgrams of water are required to fill the waterbd

1 answer:

Svet_ta [12.7K]3 months ago

7 0

Density can be defined as:

$D = \frac{m}{V}$

Where:

m is mass

V stands for volume

To isolate the mass, we derive:

$m = DV$

Volume can be expressed as:

$V = (8) * (7) * (0.75)$

$V = 42ft ^ 3$

We then use the following conversion:

$1foot = 0.3048m$

After applying the conversion, we arrive at:

$V = 42 * (0.3048) ^ 3$

$V = 1.19m ^ 3$

Additionally, we have these conversions:

$1m = 100cm$

$1Kg = 1000g$

When we apply these conversions for density, we conclude:

$D = (1\frac{g}{cm^3})((\frac{100}{1})^3\frac{cm^3}{1m^3})(\frac{1}{1000}\frac{Kg}{g})=1000\frac{Kg}{m^3}$

Finally, the mass of the water required is:

$m = (1000) * (1.19)$

$m = 1190$

Answer:

A total of 1190 kilograms of water is needed to fill the waterbed.

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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.

zzz [12365]

Answer:

∠ R $>$ 90°

$\angle s + \angle T < \angle 90$

$\angle R > \angle T$

$\angle R > \angle S$

Explicación paso a paso:

Dado que en el triángulo RST

$\angle R> (\angle s +\angle T)$

Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.

En un triángulo, la suma de los tres ángulos es 180°

Por lo tanto, si un ángulo mide 90°, la suma de los otros dos debe ser igual a 90°

Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.

Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.

De lo anterior, se concluye que

Para, $\angle R> (\angle s +\angle T)$

∵ ∠ R = 120°, por lo tanto es mayor que 90°.

Es decir, ∠ R $>$ 90°

$\angle s + \angle T < \angle 90$

$\angle R > \angle T$

$\angle R > \angle S$ Respuesta

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3 months ago

Read 2 more answers

Leona [12618]

Answer:

45 grams

Step-by-step explanation:

1st order: 27 people

15 people:

100 g

Ginger: 20 g

Turmeric: 25 g

Coriander: 35 g

Cumin Seeds: 20 g

20+25+35+20=60+40=100

For 1 person:

Ginger: 1 1/3 g

Turmeric: 1 2/3 g

Coriander: 2 1/3 g

Cumin Seeds: 1 1/3 g

Multiply the total by 27

For 27 people:

Ginger: 36 g

Turmeric: 45 g

Coriander: 63 g

Cumin Seeds: 36 g

45 g for Turmeric

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1 month ago

Students have organized

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Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours, Elijah will fall behind Mercedes

Part C. In over 2.5 hours, Elijah will lead Aubrey

Step-by-step explanation:

D = distance

v = speed

t = time

Formula connecting D, v, and t:

$D=v\cdot t$

Part A.

Steve's speed: $v=3.5\ mph$

Distance: a minimum of 21 miles

Time: unknown, so

$3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6$

It would require Steve a minimum of 6 hours to traverse at least 21 miles on Day 1.

Part B.

Mercedes's speed: $v_M=2.4\ mph$

Elijah's speed: $v_E=3.2\ mph$

Elijah's Distance walked: $D_E$ miles

Mercedes's Distance walked: $D_M$ miles

Time: x hours

Mercedes is 2 miles ahead, therefore

$D_E=3.2x\\ \\D_M=2.4x+2$

Elijah will trail behind until

$D_E$

In 2.5 hours, Elijah will close the gap on Mercedes, and in less than 2.5 hours, Elijah will trail behind her.

Part C.

Aubrey's speed: $v_M=3\ mph$

Elijah's speed: $v_E=3.2\ mph$

Elijah's Distance walked: $D_E$ miles

Aubrey's Distance walked: $D_A$ miles

Time: x hours

At the beginning of Day 3, Elijah starts from Mile 42, while Aubrey begins at Mile 42.5.

$D_E=42+3.2x\\ \\D_A=42.5+3x$

Elijah will be ahead of Aubrey when

$D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours$

In 2.5 hours, Elijah will surpass Aubrey, and after more than 2.5 hours, Elijah will outpace Aubrey.

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= (x1 - x2) + margin of error

Upper limit

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Where x1 - x2 = 8 and the margin of error = 8

For the lower limit,

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For the upper limit

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Thus, CI = (0, 8)

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Answer:

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Step-by-step explanation:

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