Subtraction
multiplication
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Hello from MrBillDoesMath!
Answer: b = 4, h = 13
Discussion:
For a triangle with base b" and height "h, the area formula is
A= (1/2)bh.
In our case A = 26, h = 5b-7, so
26 = (1/2) b (5b-7). Multiply both sides by 2:
26*2 = b(5b-7) =>
52 = b(5b-7) =>
52 = 5b^2 - 7b => (subtract 52 from both sides)
5b^2 - 7b - 52 = 0. This factors as follows:
(b - 4) (5 b + 13) = 0 (use quadratic formula to find this)
so b = 4 and h = 5b -7 = 5*4 - 7 = 13
Thank you,
MrB
Respuesta:
3,59 metros
Explicación paso a paso:
Conversión del ángulo de elevación a grados;
29 ° 12 '35 "
= 29 ° + 12 '/ 60 + 35 "/ 3600
= 29,20972 °
Resolviendo el triángulo de solución adjunto:
La longitud de la sombra se puede obtener utilizando la relación trigonométrica;
Sin θ = opuesto / hipoteno
Sin 29.20972 = 1.75 / sombra
Sombra = 1.75 / Sin 29.20972
Longitud de la sombra = 3,59 m
By doing dimensional analysis, we can easily calculate for what is being asked here. We do as follows:
Given:
Energy per time = 2400 BTU/hr
time period = 3 hrs
number of subjects = 7
Measurement of the weights = <span>20 ft × 25 ft × 12 ft
The energy produced for 3 hours would be:
2400 BTU/hr ( 3hr) = 7200 BTU
Volume of each weight = </span><span>20 ft × 25 ft × 12 ft = 6000 ft^3
Energy per volume = 7200 / 6000 = 1.2 BTU/ft^3
However, we have 7 bodybuilders producing this amount therefore,
Total energy produced = 7 (1.2 BTU/ft^3) = 8.4 BTU/ft^3</span>
