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3 years ago

6

a) Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short ba

se is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window. (2 points)

1 answer:

statuscvo [17]3 years ago

6 0

Area of trapezoids = (base 1 + base 2) × (height ÷ 2)
(15.2 + 11.2) × (8.4 ÷ 2) = 110.88
The area is 110.88 feet²

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Ribbon A is 1/3 m long. It is 2/5 m shorter than Ribbon B. What's the total length of the two ribbons?

Softa [21]

Hi

Answer:

$\frac{11}{15}$

Step-by-step explanation:

A = $\frac{1}{3}$

B = $\frac{2}{5}$

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A = $\frac{1x5}{3x5}=\frac{5}{15}$

B = $\frac{2x3}{5x3}=\frac{6}{15}$

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4 years ago

Read 2 more answers

Consider the quadratic function f(x)=−x^2+x+30

yaroslaw [1]

Answer:

The smallest xx-intercept is $x = -5$

The largest xx-intercept is $x = 6$

The yy-intercept is $y = 30$ .

Step-by-step explanation:

Given a quadratic function in the following format:

$f(x) = ax^{2} + bx + c = 0, a \neq 0$

The x-values of the x-intercepts are $x_{1}, x_{2}$ , given by the following formulas.

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

We have that:

$f(x) = -x^{2} + x + 30$

This is not in the format above. I will multiply by (-1), so we have:

$f(x) = x^{2} - x - 30$

So, $a = 1, b = -1, c = -30$

$\bigtriangleup = b^{2} - 4ac = (-1)^{2} - 4*(1)*(-30) = 1 + 120 = 121$

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) + \sqrt{121}}{2(1)} = \frac{12}{2} = 6$

$x_{2} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) - \sqrt{121}}{2(1)} = \frac{-10}{2} = -5$

This means that

The smallest xx-intercept is $x = -5$

The largest xx-intercept is $x = 6$

The y-intercept is the value of f(x) when x = 0. So

$f(x)=−x^{2}+x+30$

$f(0) = 30$

The yy-intercept is $y = 30$ .

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3 years ago

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laiz [17]

Answer:

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Step-by-step explanation:

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3 years ago

Help me find the slope on the line? Thanks in advance.

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(1, 9) and (11,1)

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4 years ago

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Translate the sentence into an inequality.

Luda [366]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Inequalities

Step-by-step explanation:

<u>Step 1: Define</u>

Sum of 5 and c is greater than -22

↓ <em>Identify</em>

Sum = addition

5 + c

Is greater than = inequality

>

Add them all together:

5 + c > -22

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3 years ago