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3 years ago

Explain the difference between the slant height of a pyramid and the height of the pyramid.

Mathematics

1 answer:

dexar [7]3 years ago

5 0

See the diagram below.
$h$ is the height, and $s$ is the slant height.

The height is the distance from the base of the pyramid to the vertex (the top of the pyramid). It runs perpendicular to the base.

The slant height is the distance from the base of the triangles which make up its sides to the vertex. It runs perpendicular to this base as well.

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The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8100 ft, the liquid boils at 20

Zinaida [17]

9514 1404 393

Answer:

b = -0.0012a +211

208.36 °F at 2200 ft

Step-by-step explanation:

We are given two points:

(a, b) = (8100, 201.28) and (4300, 205.84)

The slope of the desired line can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (205.84 -201.28)/(4300 -8100) = 4.56/-3800 = -0.0012

The "y-intercept" of the function can be found from ...

y-intercept = b -ma

y-intercept = 201.28 -(-0.0012)(8100) = 211.00

So, the function of interest is ...

b = -0.0012a +211

At 2200 ft, the boiling point is ...

b = -0.0012×2200 +211 = -2.64 +211 = 208.36

The boiling point of the liquid at 2200 ft is 208.36 °F.

8 0

3 years ago

Ten weight lifters are competing in a team weight-lifting contest. Of the lifters, 3 are from the United States, 4 are from Russ

ruslelena [56]

Answer:

(a) 65536 - the basic principle of counting

(b) 2520 - use the multinomials.

Step-by-step explanation:

Divide 8 people among 4 schools

The teachers are different among themselves, and so are the schools.

(a)

Every teacher can choose a school. By the basic principle of counting: 4.4.4.4.4.4.4.4 = 4^8 = 65536

different divisions of the teachers

Note: this does not ensure that every school gets a teacher

(b) - <u>Every school gets precisely 2 teachers:</u>

to divide 8 different objects into four groups of fixed sizes 2, 2, 2 and 2, use the multinomial coefficient

( 8 2, 2, 2, 2) = (8!)/(2!2!2!2!) ==> 2520

different divisions of the teachers

5 0

3 years ago

A ship traveled for a total of 147 miles over the course of 8 hours. Heading south, the ship traveled at an average speed of 15

Cloud [144]

Alright

s=number of hours headd south
e=number of hours headed east

s+e=8

and
total is 147 miles
distance=speed times time
15s+24e=147

we got 2 equations

s+e=8
15s+24e=147
subsitution

s+e=8
minus e both sides
s=8-e
subsitut 8-e for s in other equaton

15s+24e=147
15(8-e)+24e=147
120-15e+24e=147
120+9e=147
minus 120 both sides
9e=27
divide both isdes by 9
e=3

sub back
s=8-e
s=8-3
s=5

it was headed south 5 miles

6 0

3 years ago

Find the sum 45+46+47+48+...+129+130

Leno4ka [110]

Use photo math to help you with this question

6 0

3 years ago

11. The table shows the lengths of fish caught by three,

blsea [12.9K]

Numbers can be ordered in ascending or descending order.

The length of fishes from greatest to least is