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-Dominant- [34]
2 years ago
9

Once the boat is 2,500 feet away from the port, it is no longer your responsibility to track it. will the boat be 2,500 feet awa

y after two minutes? the speed of the boat is 30 ft per second
Mathematics
1 answer:
sweet [91]2 years ago
4 0

Answer:

Step-by-step explanation:

30*60=1800ft/minute

2500-1800=700

700/30=23.3333333333

60+23.3333333333=83.3333333333 seconds

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Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree
sesenic [268]

draw a diagram.

the two are similar bc of AAsimilarity

so 8.8 is to 4 as 22 is to x

basically the answer is 10 ft tall

5 0
3 years ago
Which is the volume formula for a rectangular prism with a base of 26 square feet and a height of 10 feet
AleksAgata [21]

Answer:

Step-by-step explanation:

Given the length, width and height find the volume, surface area and diagonal of a rectangular prism

h, l and w are known; find V, S and d

V = lwh

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism

S, l and w are known; find h, V and d

h = (S - 2lw) / (2l + 2w)

V = lwh

d = √(l2 + w2 + h2)

3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism

V, l and w are known; find h, S and d

h = V / lw

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

4. Given the diagonal, length and width find the height, volume and surface area of a rectangular prism

d, l and w are known; find h, V and S

h = √(d2 - l2 - w2)

V = lwh

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4 0
3 years ago
Read 2 more answers
Help me please it’s due today
Zolol [24]

Answer:

49 ft  

Step-by-step explanation:

h(t) = 56t - 16t²

This is the equation of a parabola.

We must solve the equation to find the time (t) when the ball reaches its maximum height (h).  

The coefficient of t² is negative, so the parabola opens downward, and the vertex is a maximum.

One way to solve this problem is to convert the equation to the vertex form.

We do that by completing the square.

Calculation:

h = -16t² + 56t  

Divide both sides by -16 to make the coefficient of  t² equal to 1.

(-1/16)h = t² - ⁷/₂t

Square half the coefficient of t

(-7/4)² = 49/16

Add and subtract it on the right-hand side

(-1/16)h = t² - ⁷/₂t  + 49/16 - 49/16  

Write the first three terms as the square of a binomial

(-1/16)h = (t - ⁷/₄)² - 49/16

Multiply both sides by -16

h = -16(t - ⁷/₄)² + 49

You have converted your equation to  the vertex form of a parabola:

y = a(t - h)² + k = 0,

where (h, k) is the vertex.

h = ⁷/₄ and k = 49, so the vertex is at (⁷/₄, 49).

The time to reach maximum height is ⁷/₄ s = 1.75 s.

The graph below shows that the ball reaches a maximum height of 49 ft after 1.75 s.

5 0
2 years ago
Use algebraic methods to prove that the given function has an x-intercept that is equal to its y-intercept. In your final answer
Llana [10]

Given the function, y = x/( x^2 – 1)

Add x and subtract x from (x^2 – 1) to make it a complete square

y = x/(x^2 + x – x – 1)

 y = x/[x(x + 1) – 1(x + 1)]

y = x/[(x – 1)(x + 1)]

 

 

In order to find the y -intercept, we set x = 0

When x = 0

y = 0/[(0 – 1)(0 + 1)]

y = 0.

Therefore, the y-intercept is zero.

 

In order to find the x -intercept, we set y = 0

When y = 0

0 = x/[(x – 1)(x + 1)]

The only way the product of a division will be zero is if the numerator is zero

So, if x/[(x – 1)(x + 1)] = 0

x = 0

Therefore, the x-intercept is also zero.

 

Since both x- intercept and y- intercept equal zero,

Then, the given function has an x-intercept that is equal to its y-intercept

5 0
3 years ago
Read 2 more answers
2x^2-5x+1=0 solve using quadratic formula
Gnesinka [82]

Answer:

x=(5±√17)/4, or x ≈  2.281 and 0.219

Step-by-step explanation:

2x^{2} -5x+1\\

plug into quadratic formula

5+- \sqrt{(-5)-4(2)(1)}/2(2)

simplify

5+-\sqrt{25-8} /4

\frac{5+-\sqrt{17} }{4}   ≈  2.281 and 0.219

5 0
3 years ago
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