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valentinak56 [21]
2 years ago
14

A regular octagonal pyramid has a base edge of 3m and a lateral area of 60m^2. Find its slant height.

Mathematics
1 answer:
Olin [163]2 years ago
4 0
Octagon = 8-side polygon

<u>Find area of 1 triangle:</u>
Area of one side triangle = 60 ÷ 8 = 7.5 m²

<u>Given area and length, find height:</u>
Area of each triangle = 7.6 m²
Length of each triangle = 3m

Area = 1/2 x base x height
7.5 = 1/2 x 3 x height
Heigth = 5m

Answer: Slanted Height = 5 m

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“Write an equation and solve for the unknown” I know it’s a lot but can someone help me with this
Svetradugi [14.3K]

Answer:

g) x = 30

h) x = 30

i) m = 55

j) x = 24

k) k = 45

Step-by-step explanation:

G)

all angles of a triangle add up to 180.

the square in the bottom right of the triangle is 90 btw

2x + x + 90 = 180

3x + 90 = 180

3x + 90 - 90 = 180 - 90

3x = 180 - 90

3x = 90

3x/3 = 90/3

x = 30

H)

this is an Isosceles triangle.

that means the bottom two angles are equal.

75 + 75 + x = 180

x + 150 = 180

x + 150 - 150 = 180 - 150

x = 180 - 150

x = 30

I)

2m is supplementary to the bottom right angle of the triangle.

that means they add together to make 180.

80 + 30 + (180 - 2m) = 180

110 - 2m = 180 - 180

110 - 2m = 0

110 = 2m

110/2 = m

55 = m

J)

to save time I'm not going to write out the steps, its the same as the i.

2x + 3x + (180 - 120 ) = 180

5x + 60 = 180

5x = 180 - 60

5x = 120

x = 120/5

x = 24

K)

imagine this as a triangle and a square.

sorry I'm not sure how to explain this -.-

but the equation would be

k + k + 90 = 180

2k + 90 = 180

2k = 180 - 90

2k = 90

k = 45

L)

Im not sure how to solve this, I'm sorry :( hope you figure it out!

5 0
3 years ago
Create a scenario for the following equation: 110x+0
nikklg [1K]
There is no entry fee at an amusement park. It costs $110 per day at the amusement park.
3 0
3 years ago
The time required to drive a fixed distance varies inversely as the speed. It takes 40 hr at a speed of 10 km/h to drive a fixed
patriot [66]

Answer:

50 hours

Step-by-step explanation:

Given data

Time=40hr

Speed=10km/hr

Let us find the fixed distance first

Speed= distance/Time

10= distance/40

distance= 10*40

distance= 400miles

Now our speed= 8km/h

hence the time is

8= 400/time

time= 400/8

time=50 hours

Hence the time is 50 hours

3 0
2 years ago
Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss
ANTONII [103]

Answer:

Step-by-step explanation:

if the ratio is 8:11 then 40:x

Cross multiply

8    40

11    x

8x=440

And divide by 8

x=55. She has 55 books

8 0
3 years ago
Robbie owns 15 % more movies than Rebecca, and Rebecca owns 10 % more movies than Joshua. If Rebecca owns 220 movies, how many m
sammy [17]

Step-by-step explanation:

Robbie=

15%/100%=220

=33 movies

Rebecca=

10%/100%=220

11 movies

Robbie have 33 movies and Joshua have 11 movies

Thank you

Hope it helps.

4 0
2 years ago
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