The hypotenuse of a right triangle needs to equal the square root of the sum of the two sides Squared of the triangle. This is Known as the Pythagorean theorem.

Hypotenuse = sqrt( 12^2 + 30^2)

= sqrt(144 + 900)

= sqrt(1044)

=32.31

45 is greater than 32.31

7 0

4 years ago

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For each of the -3.3 trials, and in the same sequence in which you entered the freezing points, enter your calculated values for

dedylja [7]

Answer:

The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as

$T_{f} = T_{p} -T_{s} = K_{f}$ * (morality of solution)

$T_{p}$ and $T_{s}$ are the freezing points of the pure solvent (water, 0°C) and $K_{f}$ = freezing point depression constant of water. Therefore,

$T_{f} = K_{f}$ *(0.859 m)

=====> (0°C) – (3.00°C) = $K_{f} *(0.859 m)$

=====> -3.00°C = $K_{f} *(0.859 m)$

Ignore the negative sign (since $K_{f}$ is positive) and get

$K_{f}$ = (3.00°C) / (0.859 m) = 3.492°C/m

The freezing point depression constant of the solvent is 3.5°C kg/mole

3.5 K.kg/mole (temperature differences are the same in Celsius and Kelvin scales).

3 0

3 years ago

What number is 14 more than the other if the sum of two numbers is 83 find the two numbers

Free_Kalibri [48]

84-14=70/2=35+14=49+35=84

The numbers are 49 and 35

6 0

4 years ago

Please help for 50 points...

vaieri [72.5K]

Answer:

7. ○ ∆ACB ≅ ∆DFE

6. ○ $\displaystyle 43°$

5. ○ $\displaystyle ∠M ≅ ∠S$

4. ○ $\displaystyle octagon$

3. ○ $\displaystyle squares$

2. ○ $\displaystyle rhombus$

1. ○ $\displaystyle equilateral\:triangle$

Step-by-step explanation:

7. Everything is in correspondence with each other, so just follow the pattern in the order the they were originally.

6. All angles correspond with each other, so just follow the pattern.

5. All segments and angles correspond with each other, so just follow their patterns.

4. An octagon has eight sides, a triangle has three sides, a hexagon has six sides, and a pentagon has five sides. With this being stated, you have your answer.

3. In a previous lesson, we confirmed that all squares are rectangles because it is a quadrilateral with four right angles.

2. This is obviously a rhombus because it is a quadrilateral with four congruent angles and sides.

1. An EQUILATERAL TRIANGLE is a regular polygon because they have three congruent angles and sides.

I am joyous to assist you anytime.

4 0

3 years ago

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