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Vsevolod [243]
2 years ago
11

Please help me find the missing length

Mathematics
1 answer:
nasty-shy [4]2 years ago
7 0

Answer:

<em>The tower is 48 ft tall.</em>

Step-by-step explanation:

Refer to the figure attached.

Triangle ACD is similar to triangle BCE.

This means the proportion to some sides is the same, for example:

\displaystyle \frac{CE}{CD}=\frac{BE}{H}

Substituting the values:

\displaystyle \frac{8}{64}=\frac{6}{H}

Multiplying by 64H:

8H=64*6

Dividing by 8:

H=64*6/8=48

The tower is 48 ft tall.

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Nancy is very happy with the service at the hotel she is staying in. She wants to tip the room service waiter 15 percent of the
anyanavicka [17]
$18.11 because 20.75/x=100/15
<span>(120.75/x)*x=(100/15)*x       - </span>we multiply both sides of the equation by x
<span>120.75=6.6666666666667*x       - </span>we divide both sides of the equation by (6.6666666666667) to get x
<span>120.75/6.6666666666667=x </span>
<span>18.1125=x </span>
<span>x=18.1125</span>
7 0
3 years ago
The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

\Rightarrow Total Volume = 32000 cc

It is given that,

Volume of water : Volume of sand = 5:1

\Rightarrow (Volume of water)/(Volume of sand) = 5/1

Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

\Rightarrow 26,666.6667 cc = (26666.6667 * 0.001) liters

\Rightarrow 26,666.6667 cc \approx 26.667 liters

Thus, Volume of water in the tank is approximately 26.667 liters

Final Answer:

Volume of water in the tank (in liters) is approximately 26.667 liters

4 0
2 years ago
Plz help
german
I think c. 10100÷ (12 x 4)
7 0
3 years ago
What is the solution set for the inequality,
creativ13 [48]

Answer:

x≤−6

Step-by-step explanation:

Let's solve your inequality step-by-step.

4(x−3)−7x≥6

Step 1: Simplify both sides of the inequality.

−3x−12≥6

Step 2: Add 12 to both sides.

−3x−12+12≥6+12

−3x≥18

Step 3: Divide both sides by -3.

−3x

−3

≥

18

−3

x≤−6

6 0
2 years ago
Read 2 more answers
Please help and show work!!
Paladinen [302]

B. Because 20 is greter than 18.

6 0
3 years ago
Read 2 more answers
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