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Sergeeva-Olga [200]
4 years ago
14

The exact vaule of cos(247.5 degrees)

Mathematics
1 answer:
Leni [432]4 years ago
8 0
cos(247.5 deg)=cos( \frac{495deg}{2})
                         =  - \sqrt{ \frac{1+cos(495deg)}{2} }  
                         = -\sqrt{ \frac{1- \frac{ \sqrt{2} }{2} }{2} } 
                         =  \frac{ \sqrt{2- \sqrt{2} } }{2}
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The amount of water inside each of these things is proportional to the volume of the tank the tropical fish tank has a volume of
k0ka [10]

Answer:

1920 gallons of water

Step-by-step explanation:

From the question; the amount of water is proportional to volume of the tank

i.e amount of water = volume of the tank

in a tropical fish;

3000 gallons of water = 12.5 m³     ----- Equation (1)

However, in the  measurement of  shark tank, we have

length = 20cm = 0.2 meters

width = 4 meters

Height = 10 meters

How many gallons of water can the shark tank hold?

From the measurement of  shark tank, we can calculate the volume;

The volume of the tank = Length × width × height

Volume of the tank = 0.2 × 4 × 10 = 8 m³

since, the amount of water is proportional to volume of the tank

y ( Gallons of water ) = 8 m³    -------- Equation (2)

Equating equation 1 and 2; we have:

3000 gallons of water = 12.5 m³  

y ( Gallons of water ) = 8 m³    

y ( Gallons of water ) ×  12.5 m³  = 3000 gallons of water × 8 m³  

y ( Gallons of water )  = \frac{3000 gallons of water * 8 m^3  }{12.5m^3}

y ( Gallons of water )  = \frac{24000}{12.5}

y ( Gallons of water )  = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water

6 0
4 years ago
Read 2 more answers
Can someone please help me out?
Elza [17]

Answer:

Distribute, subtract, additon,divide

Step-by-step explanation:

4(x-7)=2x-6 to get the second problem you distribute the 4 to the 7 and x

4x-28=2x-6 subtract the 2x from 4x

2x-28=-6   then u add the 28 to the negative 6

2x=22 divide

x=11

4 0
3 years ago
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Eloise scored a total of 268 points during the basketball season. Of her total points, l points came from left handed shots. She
Naddik [55]

Answer:

\bold{268=225+}l

43

Step-by-step explanation:

Given that:

Total points scored in basketball season, T = 268

Points scored from right handed shots, R = 225

Points scored from left handed shots = l

To find:

To write an equation to describe the situation and find the value of l for left handed shots ?

Solution:

We know that the points can be scored in basketball either by right hand shots or by left hand shots.

In other words, we can say that:

Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots

i.e.

T = R + l\\\Rightarrow \bold{268=225+}l

So, the equation is:

\bold{268=225+}l

Now, let us find the value of l from the above equation:

l=268-225\\\Rightarrow \bold{l = 43}

Number of points scored from left handed shots = <em>43</em>

8 0
3 years ago
PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!
Ostrovityanka [42]

dark blue is the answer

6 0
3 years ago
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What is the equation?<br> 3.7 = 5x + 12.2
cupoosta [38]

Answer:

x= -1.7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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