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aleksley [76]
3 years ago
8

What is the length of RT?

Mathematics
2 answers:
svetoff [14.1K]3 years ago
6 0
10/15 x X/24 cross multiply and the answer is 16
Firlakuza [10]3 years ago
6 0
The answer is 16!! Get a A
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions
aliina [53]

Answer:  B. H(t) = -6.9(t - 2.3)² + 112

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex   ⇒    k is the maximum height

the distance traveled is when y = 0     ⇒    x=\sqrt{\dfrac{-k}{a}}+h

Given: H(t) = -7.1(t - 2.3)² + 98

maximum height (k) = 98 feet

distance traveled (x) = \sqrt{\dfrac{-98}{-7.1}}+2.3    = 6.02 seconds

A) H(t) = -7.5(t - 2.2)² + 112

maximum height (k) = 112 feet

distance traveled (x) = \sqrt{\dfrac{-112}{-7.5}}+2.2    = 6.06 seconds

B) H(t) = -6.9(t - 2.3)² + 112

maximum height (k) = 112 feet

distance traveled (x) = \sqrt{\dfrac{-112}{-6.9}}+2.3    = 6.33 seconds

C) H(t) = -6.9(t - 2.4)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

D) H(t) = -7.5(t - 2.3)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.

5 0
3 years ago
(a)Which athlete went on the shortest training ride?
Zolol [24]
Could you maybe add more info? like a story or something
8 0
2 years ago
If a•b=b, what must the value of a be?
Mila [183]

Answer: I think f

Step-by-step explanation:

8 0
3 years ago
find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] abou
Neko [114]

Answer:

v =  \frac{32\pi}{3}

or

v=33.52

Step-by-step explanation:

Given

f(x) = 4x - x^2

g(x) = x^2

[a,b] = [0,2]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx

Integrate

v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx

v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx

Substitute values for a, b, f(x) and g(x)

v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx

Evaluate the exponents

v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx

Simplify like terms

v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx

Factor out 8

v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx

Integrate

v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0

v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0

Substitute 2 and 0 for x, respectively

v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])

v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])

v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]

v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]

Take LCM

v = 8\pi [ \frac{16*4- 16 * 3}{12}]

v = 8\pi [ \frac{64- 48}{12}]

v = 8\pi * \frac{16}{12}

Simplify

v = 8\pi * \frac{4}{3}

v =  \frac{32\pi}{3}

or

v=\frac{32}{3} * \frac{22}{7}

v=\frac{32*22}{3*7}

v=\frac{704}{21}

v=33.52

8 0
3 years ago
21 = m + 9 m = 11 is it a solution
Zarrin [17]
No because 21=(11)+9
21 can’t equal to 20
7 0
3 years ago
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