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3 years ago

What is the surface area of this design

Mathematics

1 answer:

kirill115 [55]3 years ago

4 0

Step-by-step explanation:

(top square) 5*5=25

(2 side trapezoids) 2((5+9)/2 * 5) = 35

(side rectangle) 6.4*5=32

(side square) 5*5=25

(bottom rectangle) 9*5=45

SA= 25+35+32+25+45

SA= 162cm^2

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Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)

Juliette [100K]

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)
Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7
Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7
Combine like terms (Z): (f - g)(x) = x² - 3x - 70

3 0

3 years ago

3(12+b)=3•12+3•b

Olegator [25]

Distributive. The multiplication is distributed across the addition.

5 0

3 years ago

Match the vocabulary word to its correct definition. 1. compound inequality a statement formed by two or more inequalities 2. li

padilas [110]

Its
compound inequality = a statement formed by two or more inequalities
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7 0

3 years ago

In the proportion above, what is the value of x? 4 5 40 50

Veronika [31]

<h2>The value of x = 36</h2>

Step-by-step explanation:

We have,

x, 45, 40 and 50 are in a proportion.

x : 45 : : 40 : 50

To find, the value of x = ?

We know that,

a : b : : c : d

Product of means = Product of extremes

a × d = b × c

∴ a × d = x × 50

Also,

b × c = 45 × 40

∴ x × 50 = 45 × 40

⇒ x = $\dfrac{45 \times 40}{50}$

⇒ x = $\dfrac{45 \times 4}{5}$

⇒ x = 9 × 4 = 36

∴ The value of x = 36

5 0

3 years ago

Read 2 more answers

The ratio of cups of sugar to cups of chocolate chips in a recipe is 2 : 4 if 36 cups of these ingredients are used, how many cu

ololo11 [35]

Data:

$\frac{sugar}{chocolate} = \frac{2}{4}$
cups of these ingredients = 36

Solving:

$\frac{S}{2} + \frac{C}{4} = \frac{36}{6}$

$\frac{S}{2} = \frac{36}{6}$
$6*S = 2*36$
$6S = 72$
$S = \frac{72}{6}$
$\boxed{S = 12}$

$\frac{C}{4} = \frac{36}{6}$
$6*C = 4*36$
$6S = 144$
$C = \frac{144}{6}$
$\boxed{C = 24}$

So:
cups of these ingredients = 36
S+C = 12+24 = 36 (True)

How many cups were sugar ?

$\boxed{Sugar Cups = 12}$

8 0

4 years ago