Answer:
QR = 19.4
Step-by-step explanation:
Use Pythagoras because p = 90°
Qr is hypotenuse
; (15.5)² + (11.7)²
= 377.14
√377.14
= 19.42009
= 19.42
= 19.4
hope it helps ☺️
<span>-49 + -2x + 12x = 101 + -12x + 12x Combine like terms: -2x + 12x = 10x -49 + 10x ... 101 + 49 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15 </span><span>
</span>
(x-8) ^ 2 = 121
(x-8) = + / - root (121)
x = 8 +/- root (121)
The solutions are:
x1 = 8 + root (121)
x2 = 8 - root (121)
2a ^ 2 = 8a-6
2a ^ 2-8a + 6 = 0
a ^ 2-4a + 3 = 0
(a-1) (a-3) = 0
The solutions are:
a1 = 1
a2 = 3
x ^ 2 + 12x + 36 = 4
x ^ 2 + 12x + 36-4 = 0
x ^ 2 + 12x + 32 = 0
(x + 4) (x + 8) = 0
The solutions are:
x1 = -8
x2 = -4
x ^ 2-x + 30 = 0
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
x = (1 +/- root (1 - 120))) / 2
x = (1 +/- root (-119))) / 2
x = (1 +/- root (119) * i)) / 2
The solutions are:
x1 = (1 + root (119) * i)) / 2
x2 = (1 - root (119) * i)) / 2
Answer:
La probabilidad que hay de que sea fin de semana es 
Step-by-step explanation:
La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.

En este caso:
- número de casos favorables: 2 (cantidad de días del fin de semana)
- número de casos posibles: 7 (cantidad de días totales en la semana)
Reemplazando:
P(A)= 
<u><em>La probabilidad que hay de que sea fin de semana es </em></u>
<u><em></em></u>
Answer:
Step-by-step explanation:The model will be of length 0.4 ft and the width being 0.28 feet
Step-by-step explanation:
Step 1.We know that the length of the building is 200 feet, and that the width of the building is 140 feet.
Step 2. the question tells us that "a 1/500 model is built of the building", meaning the problem wants to create a model using the ratio 1 feet for each 500 feet.
Step 3.So now to find the length and width of the model, we need to divide the given sides by 500.
Step 4. Side length of the Model = 200/500 = 2/5 = 0.4 feet
Step 5. Side width of the Model = 140/500 = 14/50 = 0.28 feet
There for giving us our final answer... "The model will be of length 0.4 feet and width 0.28 feet."
Hope I could help! :)