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Vladimir79 [104]
3 years ago
13

Please help on number 7.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0
What is a collinear
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Surface Area of the pyramid
hichkok12 [17]

Answer:

C

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0
1 year ago
Use the equation below to find y, if m=6, x=3, and b = 10.<br> y=mx+b
ICE Princess25 [194]

Answer:

y = 28

Step-by-step explanation:

y = mx + b

plug in values

y = (6)(3) + (10)

multiply

y = 18 + (10)

add

y = 28

8 0
3 years ago
Read 2 more answers
A worker at one farm is paid $486 for the week, plus $0.03 for every pound
Natali5045456 [20]

Answer:sorry this probably is t the most helpful but the closest i could get was 399 lbs. it’s is st$497.7 for one and $$497.8.

Step-by-step explanation:

5 0
3 years ago
You are paid $8.35/hr at your part-time job. Your deductions are FICA (7.65%), federal tax withholding (9.15%), and state tax wi
Nikolay [14]
The answer is 87.01. Good Luck
6 0
3 years ago
Read 2 more answers
Answer choices are <br> A)50<br> B)55<br> C)100<br> D)110
Olegator [25]
Answer: 50 degrees

You cut the arc measure 100 degrees in half. This is using the inscribed angle theorem. The angle 'a' is the inscribed angle that cuts off this 100 degree arc.
7 0
3 years ago
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