Eric owns and operates the Hot Ham food truck. The expression 3.25b + 2h 3. gives the cost of b burgers and h hot dogs.

1. The science club constructed a pyramid with a square base out of paper clips. The height of the pyramid is 2.5 feet. One side

elena-14-01-66 [18.8K]

Answer:

Part 1) The slant height of the pyramid is $2.80\ ft$

Part 2) The length of the third side of the window is $20.78\ in$

Part 3) The building's slant height is $53.85\ ft$

Step-by-step explanation:

Part 1) we know that

To find out the slant height of the pyramid, apply the Pythagorean Theorem

Let

l ----> the slant height of the pyramid

h ---> the height of the pyramid

b ---> the length side of the square base

$l^2=h^2+(b/2)^2$

we have

$h=2.5\ ft\\b=2.5\ ft$

substitute the given values

$l^2=2.5^2+(2.5/2)^2$

$l^2=2.5^2+(1.25)^2$

$l^2=7.8125$

$l=2.80\ ft$

Part 2) Let

c ----> the hypotenuse of a right triangle (the greater side)

a ---> the measure of one leg of the right triangle

b ---> the measure of the other leg of the right triangle

Applying the Pythagorean Theorem

$c^2=a^2+b^2$

we have

$c=24\ in\\a=12\ in$

substitute the given values and solve for b

$24^2=12^2+b^2$

$b^2=24^2-12^2$

$b^2=432$

$b=20.78\ in$

Part 3) Let

l ----> the building's slant height

h ---> the height of the building

r ---> the radius of the base of the building

Applying the Pythagorean Theorem

$l^2=h^2+r^2$

we have

$h=50\ ft\\r=20\ ft$

substitute the given values

$l^2=50^2+20^2$

$l^2=2,900$

$l=53.85\ ft$

4 0

3 years ago

Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form

Molodets [167]

Answer:Step-by-step explanation:

8 0

3 years ago

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Convert the following percent to a fraction, then reduce to lowest terms: 66.67%

34kurt

Answer: It is 2/3

Step-by-step explanation:

6 0

3 years ago

You are running at a speed of 2 meters per second. At that speed, how many feet would you run in a minute?

boyakko [2]

Answer:

393.6

Step-by-step explanation:

1 minute=60 seconds

60 seconds x 2 meters= 120 meters

3.28 feet x 120 meters=393.6

3 0

3 years ago

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From a boat on the lake, the angle of elevation to the top of a cliff is 26°35'. If the base of the cliff is 85 feet from the bo

Trava [24]

Check the picture below

now, 26°35' is just 26bdegrees and 35 minutes

your calculator most likely will have a button [ ° ' " ] to enter degrees and minutes and seconds

there are 60 minutes in 1 degree and 60 seconds in 1 minute

so.. you could also just convert the 35' to 35/60 degrees

so $\bf 26^o35'\implies 26+\frac{35}{60}\implies \cfrac{1595}{60}\iff \cfrac{319}{12}
\\\\\\
tan(26^o35')\iff tan\left[ \left( \cfrac{391}{12} \right)^o \right]$

now, the angle is in degrees, thus, make sure your calculator is in Degree mode

5 0

3 years ago

Read 2 more answers