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Julli [10]
3 years ago
6

Plz this is due today help me explain the answer

Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

177.3 feet

This is a classic find the vertex of a parabola question.

if this was a calculus class the solution would be to take the derivative and set it equal to zero... -32t+ 105 = 0

BUT i assume that you are not in a calculus class..

so we try plan "B" the  highest (or lowest) point of parabola is it's vertex

the vertex formula is [-b/2a,f(-b/2a)]

in your problem a = -16, b=105, c= 5

so the "X" (TIME) is located at -(105)/(2*-16) = 3.28

plug in 3.28 into -16(3.28)^2 + 105(3.28) + 5 = 177.27

and you will get

Step-by-step explanation:

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The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6.
Karo-lina-s [1.5K]

Answer:

Volume of the frustum = 225.0952

Surface area = 274

Step-by-step explanation:

The volume can be calculated as the difference of the complete pyramid and the tip of the pyramid.

To find the height of the frustum, we can use pythagoras theorem in the following triangle:

first side: 9 - 5 = 4

second side h (height)

hypotenusa: slang = 6

6^2 = h^2 + 4^2

h^2 = 36 - 16 = 20

h = 4.4721

To find the height of the complete pyramid (H), we can use the following rule of three:

H / 9 = (H - 4.4721) / 5

5H = 9H - 40.2489

4H = 40.2489

H = 10.0622

Volume of complete pyramid:

V_complete = (1/3)*9^2*10.0622 = 271.6794

Volume of the tip:

V_tip = (1/3)*5^2*(10.0622 - 4.4721) = 46.5842

Volume of the frustum:

V_frustum = V_complete - V_tip = 225.0952

The surface area is the bigger base area + smaller base area + four side areas.

Bigger base area = 9^2 = 81

Smaller base area = 5^2 = 25

Side area = (9+5)*6/2 = 42

Total surface area: 81 + 25 + 4*42 = 274

4 0
3 years ago
A pizzeria makes pizzas in the shape of a regular octagon, and cuts them into 8 identical triangular slices. The diameter of the
notsponge [240]

Answer:

am i supposed to do area? volume? circumfrence?

4 0
4 years ago
Can someone help me with this? this is a substitution method
tigry1 [53]

Answer:

x=0, y = 3/2

Step-by-step explanation:

Ok, for substitution, you need to solve for y in terms of x, I'll do this for the first eqyation

8y=-7x+12

y=-7/8x+3/2, now plug in y in the second equation

-4x+2(-7/8x+3/2)=3, solve for x now

-4x-7/4x+3=3,

-4x-7/4x=0, x=0 now plug in 0 for either equation to solve for y

-4(0)+2y=3

2y=3, y=3/2

5 0
3 years ago
Juan has wrenches with the sizes shown below.write each fraction in the correct box.
grigory [225]
Https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-comparing-fractions/v/c...
7 0
3 years ago
Read 2 more answers
How many revolutions will a car wheel of 30in make as the car travels 1 mile? (1 mile = 5280ft)?
Nataliya [291]
30inc=76.2cm 
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</span>5280/0.0328084=160934.4
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160934.4 /76.2pi=672.27
672 revolutions i think
5 0
3 years ago
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