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qwelly [4]
3 years ago
14

Steve ordered plastic cases for storing his basketball cards each case has a length of 12 CM and a width of 6.5 cm , and height

of 1.25 cm . What id the volume in cubic cm of one basketball card case
Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0
Volume of a rectangular prism(the baseball card case) can be defined as follows:  V = lwh

V = lwh
V = 12(6.5)(1.25)
V = 97.5 cm³
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Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and
grigory [225]

Answer:

The correct option is:

Building B; it is around 16.35 feet taller than building A.

Step-by-step explanation:

Consult the diagram below where the first figure represent building A and second figure represents building B

For building A:

tan θ = Perpendicular / Base

tan 73° = Height of building A / 30

Height of building A = tan73 · 30

Height of building A = 98.13 ft

For building B:

tan θ = Perpendicular / Base

tan 73° = Height of building B / 35

Height of building A = tan73 · 35

Height of building A = 114.48 ft

Building B is taller

Difference in height = height of building B - height of building A

Difference in height = 114.48 - 98.13 = 116.35 feet

3 0
3 years ago
Which conic section does the equation below describe?
Rus_ich [418]

Answer: Option C. Ellipse

Step-by-step explanation:

The general equation of an ellipse has the following form:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1

Where the point (h, k) is the center of the ellipse

In this case we have the equation

\frac{(x-9)^2}{4} + \frac{(y+2)^2}{25} =1

Note that its shape matches that of a ellipse with center (9, -2)

a=\sqrt{4} \\a=2\\\\\\b=\sqrt{25}\\b=5

Therefore the answer is the obtion C

5 0
3 years ago
(4z^5 - 14z^4 + 10z^3 - 16z^2 + 41z - 2) / (z - 2)
r-ruslan [8.4K]

Answer:

4z4−6z3−2z2−20z+1

Step-by-step explanation:

4z5−14z4+10z3−16z2+41z−2

z−2

=

4z5−14z4+10z3−16z2+41z−2

z−2

=

(z−2)(4z4−6z3−2z2−20z+1)

z−2

=4z4−6z3−2z2−20z+1

(theres no more like terms so u cant)

4 0
2 years ago
On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represe
nevsk [136]

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

8 0
2 years ago
Read 2 more answers
What equation do I need to use?
goldenfox [79]
To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3)   and B(1 , 2) [you notice that just the y's changed]

This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such  that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of 
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered 


6 0
3 years ago
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