Answer: x = 6 √5
Step-by-step explanation: the longer leg is next to the longest segment. You need to add 8 + 10 to get the entire bottom. 18. You then need to cross multiply this with 10. Since you don't know your other numbers, you use x. 10/x = x/18 . you get x squared = 180. You get the square root of both, making x = √36 and √5. The square root for 36 is 6, and you leave √5 as itself. So your answer is 6 √5
Answer:
the volume of the hemisphere is 1970.2 cubic inches.
Step-by-step explanation:
The given is,
Radius of hemisphere is 9.8 inches.
Step:1
Formula of volume of hemisphere is,
..................(1)
Where,
r - Radius of hemisphere
Step:2
From the given,
r = 9.8 inches
Equation (1) becomes,
=
=
= (0.66666666)(3.1415)(942.192)
= 1971.23
Volume of hemisphere = 1971.23 cubic inches
Result:is 1970.2 cubic inches.
X=7. The two segments on the bottom as well as on the diagonal are the same length. This shows that the entire triangle and the inner triangle on the right are similar. So if we call the length of the bottom 2y, then 84/2y=6x/y. Solving this we get 84=12x, and so x=7
5(-3p + 7) + 5(p - 1) = 0
-15p + 35 + 5p - 5 = 0
-10p + 30 = 0
-10p = -30
p = 3
Answer:
Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _____1._____, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _____2._____ and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.
Step-by-step explanation:
