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Aleks [24]
3 years ago
9

Which of the following is proper notation to describe the set of all letters in the alphabet?

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0
I think the third option is correct
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Solve the question below, please.
Ne4ueva [31]

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, Cos(C) = \frac{a^2 + b^2 - c^2}{2ab}, to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40}

Cos(C) = \frac{3,524}{4,000}

C = Cos^{-1}(\frac{3,524}{4,000})

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22}

Cos(C) = \frac{808}{1,320}

C = Cos^{-1}(\frac{808}{1,320)}

C = 52.26° (nearest hundredth)

6 0
3 years ago
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and
Lunna [17]

Answer:

C=27inch\ by\ 27inch

Step-by-step explanation:

Squares h=4inch

Volume v=1444in^3

Generally the equation for Volume of box is mathematically given by

 V=l^2h

 1444=l^2*4

 l^2=361

 l=19in

Since

Length of cardboard is

 l_c=19+4+4

 l_c=27in

Therefore

Dimensions of the piece of cardboard is

C=27inch\ by\ 27inch

7 0
3 years ago
in the figures below the cube shaped box is 6 inches wide and the rectangular box is 10 inches long 4 inches wide and 4 inches h
IRINA_888 [86]
<span>The cube’s sides measures 6 inches and the measurement for the rectangular box is that it is 10 inches long, 4 inches thick and 4 inches high. To compute for the volume of a cube you must use the formula of V = a3 and for the rectangular prism is V = l x w x h.</span>
<span>Cube:    V = 6^3
</span>              <span>V = 216 inches^3</span>
<span>Rectangular Prism:       V = 10 x 4 x 4</span> <span>             
                                       V = 160 inches^3</span>
To identify how much greater the volume the cube from the rectangular box we subtract their volumes.
N = C – R where N stands for the unknown C for the volume of cube and R for the volume of Rectangular Box <span>
N = 216 inches^3 – 160 inches^3
</span> <span>N = 56 inches^3</span> <span>
So the cube is 56 inches3 greater than the rectangular box.</span>


4 0
3 years ago
Read 2 more answers
2b^2+4b–2=0 what is the answer?
s2008m [1.1K]
2b^2+4b-2=0\\&#10;2(b^2+2b-1)=0\\&#10;2(b^2+2b+1-2)=0\\&#10;2((b+1)^2-2)=0\\&#10;2(b+1)^2-4=0\\\&#10;2(b+1)^2=4\\\&#10;(b+1)^2=2\\&#10;b+1=-\sqrt2 \vee b+1=\sqrt2\\&#10;b=-1-\sqrt2 \vee b=-1+\sqrt2&#10;&#10;
5 0
3 years ago
It takes Ryan 1/5 hour to bike home from school. his biking speed is 10 mph
Anika [276]
1/50? I can’t be sure....

Ok, so.. first you write both the problems down and write the 10 as a fraction (so it would automatically be 10/1). Then invert so it would be a multiplication problem (1/5 x 1/10). Since you can’t cross cancel, you multiply across. So, 1/5 x 1/10 (1 x 1 and 10 x 5)
1/50
5 0
3 years ago
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