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slava [35]
4 years ago
5

The temperature at night reached -13 F. Write an equivalent statement about the temperature using the absolute value of the numb

er
Mathematics
1 answer:
Sergio [31]4 years ago
8 0
The kelvin scale is the standard absolute thermodynamic temperature scale.
Therefore, this question is simply asking you to convert the degree fahrenheit into degree kelvin.

The formula used to convert between kelvin and fahrenheit is as follows:
T(K)<span> = (</span>T(°F)<span> + 459.67) × 5/9
</span>
We will substitute in this equation with T(F)=-13 and calculate T(K) as follows:
t(K) = (-13 + 459.67) x 5/9 = 248.15 K

Based on this, the previous sentence can be written using absolute value of the number as follows:
The temperature at night reached 248.15 K.

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Given the following diagram, find the required measure.
Zielflug [23.3K]

Answer:

∠ 5 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°

∠ 5 and ∠ 2 are alternate angles and congruent , thus

∠ 5 = 40°

3 0
3 years ago
22. The measures of the angles of ADEF are in the ratio 2:4:4. What are the
denis23 [38]

The measures of the angles of Δ DEF are 36° , 72° , 72°

Step-by-step explanation:

The sum of the measures of the interior angles in any triangle is 180°

In Δ DEF

The ratio between the measures of its interior angles is 2 : 4 : 4

To find the measure of each angle

1. Find the sum of the ratio between the measures of its angles

2. Divide 180° by the sum of the ratio

3. Multiply the quotient by each ratio

∵ The ratio between the measures of the angles of Δ DEF = 2 : 4 : 4

∴ The sum of the ratio = 2 + 4 + 4 = 10

→    m∠D    :    m∠E    :    m∠F    :   sum of the ratio

→    2          :    4          :    4          :   10

→    ?          :     ?          :    ?          :   180°

Divide 180 by 10, then multiply the quotient by the components of

the ratio to find the measure of each angle

∵ m∠D = (2)\frac{180}{10}

∴ m∠D = 36°

∵ m∠E = (4)\frac{180}{10}

∴ m∠D = 72°

∵ m∠F = (4)\frac{180}{10}

∴ m∠F = 72°

The measures of the angles of Δ DEF are 36° , 72° , 72°

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

3 0
3 years ago
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25Then, he wan
stepan [7]

Answer:

 is the correct answer.

Step-by-step explanation:

As per the question statement:  

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most =  $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}

i.e.  

5.50S

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = \$3.25+5.50S

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

\bold{3.25+5.50S \le 30}

Please refer to brainly.com/question/17138529 as well.

5 0
3 years ago
Read 2 more answers
Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka
love history [14]

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

8 0
4 years ago
which of the following lengths of lines would be used to create a right triangle 6,9,12 5,12,13 4,8,16 7,15,19.7
marin [14]
If this is talking about the Pythagorean theorem then it would be 5,12,13 becuase because the equation for the triangle is
2 2 2
a + b = c

2 2 2
5 + 12. = 13
6 0
4 years ago
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