Answer:
- x = 30°, y = 45°
- w = 14√2, v = 7√2
Step-by-step explanation:
ΔABC
- BC/AB = sin x
- 12/24 = sin x
- 1/2 = sin x
- x = 30°
ΔDBC
- DC = BC - given
- ∠C = 90° - given
- ΔDBC is isosceles right triangle
∠BDC ≅ ∠DBC ⇒ y = 45°
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ΔMPN is right isosceles triangle ⇒ MN = PN√2 = 14√2
ΔMKP is right isosceles triangle ⇒ MK = KP
- v = 1/2MN = 1/2(14√2) = 7√2
Answer:
Step-by-step explanation:
Annual Income of Sam = $37,368
To find the monthly income (given that he earns an equal amount of money every month), we can divide the annual income by 12. (Each year has 12 months)
<u>Monthly Income:</u>
= $37,368 / 12
= $3,114
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:
A polyhedron include cube ,prism or pyramid while non polyhedron are sphere, cone and cylinder because they have side that aren't polygon. a prism is a polyhedron with two congruent base ,in parallel planes and the lateral sides are rectangle
The best way to tackle this is to put the answer that you know into a binomial factor. So the solution is x = 4. The binomial factor is (x - 4)
Now you can set up the other binomial factor. You have been given a huge hint. The third term is 28 and one of it's 2 factors is 7. So this is what you know so far
(x - 4)( x 7) But what is its sign? The 28 is positive. So the 7 must be minus giving you
(x - 4)(x - 7) Are we done yet? No There's a 3 on the x^2. Does the 3 go with the x on (x - 4) or does the 3 go with the (x - 7)? We have been told that (x - 4) is one of the factors. No mention of a three. So we should try x - 7 first and write it like this.
(x - 4)(3x - 7)
I think if you remove the brackets, you will find that the middle term is - 19 (-12 - 7 = -19 ) which is exactly what it should be.
Answer (x - 4)(3x - 7)
Answer: 314.16 or 100 pie
Step-by-step explanation:
2(50)pie
