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pishuonlain [190]
4 years ago
6

Jenny used the expression -16x2 + 38x + 5 to determine the height of an object x seconds after it was hit into the air. Write an

inequality to represent the interval of time that the object was in the air.
Mathematics
1 answer:
Masteriza [31]4 years ago
7 0

Answer:

0 < x < 2.5

Step-by-step explanation:

-16x² + 38x + 5 = 0

-16x² + 40x - 2x + 5 = 0

-8x(2x-5) - 1(2x-5) = 0

x = -⅛ , 2.5

0 < x < 2.5

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if the altitude drawn to the hypotenuse of a right triangle EFG partitions it into two segments of lengths 8 and 10, then find t
MArishka [77]

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

5 0
3 years ago
Read 2 more answers
What is the volume of a hemisphere with a radius of 9.8 in, rounded to the nearest tenth of a cubic inch?​
pogonyaev

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.

7 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP <br> 20 POINTS
Schach [20]
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
6 0
4 years ago
5 (-3p +7) + 5 (p -1)
RSB [31]
5(-3p + 7) + 5(p - 1) = 0
-15p + 35 + 5p - 5 = 0
-10p + 30 = 0
-10p = -30
p = 3
4 0
3 years ago
Read 2 more answers
Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _____1._____ by the definition of altitudes, makin
aleksandr82 [10.1K]

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:

6 0
3 years ago
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