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Citrus2011 [14]
3 years ago
11

Natalie paid $20.7 for 3 small pizzas and a salad which was $3.

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer: x=5.9

Equation: 20.7= 3x+3

Step-by-step explanation:

20.7=3x+3

-3 -3

——————

17.7= 3x

————-

3

5.9= X

Was that ok? :) ur a smart kid so I’m sure you’ll figure this out but if u do have questions just put it in the comments :)

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Find the value of x and the value of y.
Elan Coil [88]

Answer:

Step-by-step explanation:

According to the diagram ,

Hypotenuse = 10√3

Opposite = x

Adjacent = y

α = 60

Using SOHCAHTOA ,

Sin α = opp / hyp

Sin 60= x/10√3

√3/2= x/10√3

x = 15

Pythagoras theorem ;

Hypotenuse ^2 = Opposite ^2 +Adjacent ^2

10√3 ^2 = 15^2+ y^2

300 = 225 +y ^2

300 -225 = y^2

75 = y^2

y = √75y

y = 5√3

5 0
3 years ago
On a hot Saturday morning while people are working​ inside, the air conditioner keeps the temperature inside the building at 24
Helen [10]

Answer:

30.06 degree Celsius at 4:00 PM.

Step-by-step explanation:

We have been given that on a hot Saturday morning while people are working​ inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned​ off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 ​hr. We are asked to find the temperature inside the building at 4:00 PM.

We will use Newton's law of cooling to solve our given problem.

T(t)=M_0+(T_0-M_0)e^{-kt}, where

T(t) = Temperature after t hours.

M_0 = Temperature of surrounding environment,

k = Time constant.

\frac{1}{k}=5\Rightarrow k=\frac{1}{5}

Upon substituting our given values in Newton's cooling law, we will get:

T(t)=35+(24-35)e^{-\frac{t}{5}}

T(t)=35-11e^{-\frac{t}{5}}

To find the temperature at 4:00 pm, we will substitute t=4 in our formula as:

T(4)=35-11e^{-\frac{4}{5}}

T(4)=35-\frac{11}{e^{\frac{4}{5}}}

T(4)=35-\frac{11}{2.2255409284924674}

T(4)=35-4.9426186052894379601

T(4)=30.05738139471

T(4)\approx 30.06

Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.

5 0
3 years ago
What's the square root of 2 million
guajiro [1.7K]
One million i believe dont you just half for square roots???

4 0
3 years ago
Help ASAP Please). Show your work: It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days,
Westkost [7]

58 days * 24 hrs / day = 1392 hrs

30 mins / 60 mins = 0.5

1392 hrs + 15 hrs = 1407 hrs

1407 hrs + 30 mins = 1407.5 hrs

3 0
3 years ago
Read 2 more answers
Under a dilation of scale factor 2 centered at (3,1), Pentagon IRONS becomes Pentagon
geniusboy [140]

Answer:

(a+k(x-a), b+k(y-b))

I = (5, 5)

N = (8, 3)

R' = (5, 3)

O' = (9, 1)

S' = (11, 9)

Step-by-step explanation:

6 0
3 years ago
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