Answer:
The formulas for converting between degree Celsius and degree Fahrenheit are:
°F = (°C * 9/5) + 32
°C = (°F - 32) * 5/9
To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations.
°C = (°C * 9/5) + 32
°C - (°C * 9/5) = 32
-4/5 * °C = 32
°C = -32 * 5/4
°C = -40
°F = (°F * 9/5) + 32
°F - (°F * 9/5) = 32
-4/5 * °F = 32
°F = -32 * 5/4
°F = -40
So the temperature when both the Celsius and Fahrenheit scales are the same is -40 degrees
Have a nice day!!!
8. The corresponding angles of similar triangles are congruent. Angle U corresponds to angle R, so the value of x will be the value of the unmarked angle in ∆PRQ. The sum of angles is 180°, so the unmarked angle (x) has measure ...
... x = 180° - 60° - 40° = 80° . . . . matches selection A
9. The ratio of the lengths of the original to its image is the same in all cases. The appropriate choice is ...
... B. AB/A'B' = BC/B'C'
The other choices have mixed ratios that don't make any sense.
10. The parallel base makes ∆RTU ~ ∆RQS and divides RQ in the same proportion it divides RS. The appropriate choice here is ...
... C. RT/TQ = RU/US
9514 1404 393
Answer:
3√3 square units
Step-by-step explanation:
The area of a regular n-sided polygon with radius r is given by the formula ...
A = (n/2)r²·sin(360°/n)
For n=3 and r=2, the area is ...
A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)
A = 3√3 . . . . square units
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<em>Alternate solution</em>
The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...
b = (2/√3)(3) = 2√3
The area using these dimensions is calculated as ...
A = 1/2bh
A = 1/2(2√3)(3) = 3√3 . . . . square units
Answer: La ensalada se puede preparar de 3 formas con solamente dos ingredientes d los tres disponibles.
Ingredientes:
Plátano
Manzana
Uva
Se requiere preparar una ensalada utilizando solo dos ingredientes de la lista.
Se trata de una Combinación de tres elementos tomados de dos en dos.
C3,2 = 3!/2!(3 – 2)!
C3,2 = 3!/2!(1)!
C3,2 = 3 x2!/2!
C3,2 = 3
Answer:
154
Step-by-step explanation:
154
