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Mathematics

2 answers:

konstantin123 [22]1 year ago

6 0

Answer:

perimeter = 17t +9 feet

Step-by-step explanation:

width W = 7t - 1.5

length L = 1.5t + 6

Perimeter = 2W + 2L

substitute expressions for W & L: 2(7t - 1.5) + 2(1.5t + 6)

expand: 14t - 3 + 3t + 12

collect like terms: 14t + 3t - 3 + 12

combine like terms: 17t +9

** can't give an exact value for the perimeter as don't have a value for t **

sp2606 [1]1 year ago

3 0

Answer:

17t+9

Step-by-step explanation:

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The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

Verdich [7]

The complete question in the attached figure

Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is
100 cm³