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Orlov [11]
4 years ago
13

15 POINTS HELP

Mathematics
1 answer:
zmey [24]4 years ago
4 0

Answer:

 2.1125 feet

Step-by-step explanation:

the vertex will be the maximum value of this parabola.  

the general form for a quadratic equation is:  ax² + bx + c, for this equation,

a = -0.2, b = 1.3, and c = 0

find the vertex by first using the formula x = -b/(2a)

x = -1.3/(2*-0.2)

  x = -1.3/-0.4

    x = 3.25

Now plug in that x value to find the actual maximum height

y = -0.2(3.25)² + 1.3(3.25)

    y = -0.2(10.5625) + 4.225

          y = -2.1125 + 4.225

                  y = 2.1125 feet

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Find the surface area of figure. Round answer to nearest hundredth if necessary. Thank you!!
Crazy boy [7]

Answer: Surface area = 29.32 inches²

Step-by-step explanation:

The surface area is the sum of areas of the faces. There are two triangular faces and three rectangular faces.

The formula for determining the area of a triangle is expressed as

Area = 1/2 × base × height

Base = 2 inches

Height = 2 inches

Area = 1/2 × 2 × 2 = 2 inches²

Area of the 2 triangular faces

= 2 × 2 = 4 inches²

The area of the two equal rectangles is

Area = 2 × 2 × 4 = 16 inches²

To determine the width, w of the rectangular base, we would apply Pythagoras theorem.

Hypotenuse ² = opposite side² + adjacent side²

w² = 2² + 2²

w² = 4 + 4 = 8

w = √8 = 2.83

Area of the rectangular base is

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5 0
3 years ago
What is the square root of 9/16ths
spayn [35]
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4 years ago
What number must you add to the polynomial below to complete the square?<br><br> x2 + 15x
Aleksandr-060686 [28]

Answer:

The number \frac{225}{4} is added to the polynomial below to complete the square.

Step-by-step explanation:

Perfect square binomial:

A perfect square binomial is given by:

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In this question:

We have that:

a^2 + 2ab + b^2 = x^2 + 15x + ?

Since a = x, we have that:

2ab = 15x

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Completing the square:

The term that completes the square is b^2. So

b^2 = (\frac{15}{2})^2 = \frac{225}{4}

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4 0
3 years ago
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Answer:

1. An intuitive understanding of number, their magnitude, relationships, and how they are affected by operations.

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4 0
3 years ago
It is 2 miles from Ellie’s house to school, 1 mile = 5280 feet. How many feet is it from Ellie’s house to school ?
Lana71 [14]
This is a conversion problem. We know that 1 mile is 5280 feet, right? Since Ellie lives 2 miles, and two is double of 1, we just take 5280 and multiply that by two (or add it twice) to find how many feet is between Ellie's house and school. 5280 x 2 = 10560 (you get the same answer if you add 5280 twice). Therefore, 10560 feet lies between Ellie's house and school.
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