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3 years ago

Can someone help me with this please?!?!?!?

Mathematics

1 answer:

dusya [7]3 years ago

5 0

Answer

17 m^3

Explanation

Volume of a given prism = bh

Where b = base area and h = height of prism

Base area = 1 • 2/2 (b • h /2)

= 1

Height = 17

17 • 1 = 17 m^3

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The volume of a right cylinder is 2,000π cubic feet, and the height is 20 feet. What is the length of the radius in feet?

laila [671]

Answer:

r = 10 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Identify variables

Volume V = 2000π ft³

Height h = 20 ft

Radius r = unknown

Step 2: Solve for r

Substitute in variables [Volume of a Right Cylinder Formula]: 2000π ft³ = πr²(20 ft)
[Division Property of Equality] Isolate r term: 100 ft² = r²
Rewrite: r² = 100 ft²
[Equality Property] Square root both sides: r = 10 ft

8 0

3 years ago

Explain the error in the solution below. What additional step needs to be completed?

Dmitriy789 [7]

Answer:

From step 4 to 9 is the required steps shown below.

Step-by-step explanation:

Given : Solution below,

$\log x -\log_5 3 = 2\log_5 3\\\log x = 3\log_5 3\\\log x = \log_5 33\\x = 27$

To find : The error in the solution and what additional step needs to be completed?

Solution : The mistake is the step 3 and additional step need to be added after it.

Step 1 - $\log x -\log_5 3 = 2\log_5 3$

Step 2 - $\log x = 3\log_5 3$

Step 3 - $\log x =\log_5 3^3$

Step 4 - $\log x=\log_5 27$

Applying change base rule of logarithmic, $\log_b a=\frac{\log a}{\log b}$

Step 5 - $\log x=\frac{\log 27}{\log 5}$

Step 6 - $\log x=\frac{1.431}{0.698}$

Step 7 - $\log x=2.050$

Step 8 - $x=10^{2.050}$

Step 9 - $x=112.20$

From step 4 to 9 is the required steps.

6 0

4 years ago

Read 2 more answers

The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.

Furkat [3]

$\bf y=-5x+b\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad \stackrel{therefore}{m=-5} \\\\[-0.35em] ~\dotfill\\\\$

$\bf A(\stackrel{x_1}{5}~,~\stackrel{y_1}{-2})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=-5(x-5)\implies y+2=-5x+25 \\\\\\ y=-5x+25-2\implies y=-5x+\stackrel{\stackrel{b}{\downarrow }}{23}$

5 0

3 years ago

What is the area of a piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide? Give your answer in square inches

Kruka [31]

Given

piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.

What is the area of a piece of plywood .

To proof

Here plywood shape in the form of rectangle.

Formula

Area of rectangle = Length×Breadth

As given in the question

Length =2 feet 8 inches

Breadth = 2 feet 4 inches

First convert feet into inches

1 feet = 12 inches

2 feet 8 inches = 2×12 + 8

= 32 inches

Also

2 feet 4 inches = 2×12 +4

= 28 inches

put is in the above formula

Area of plywood = 32 ×28

= 896 inches²

Therefore option (b) is correct

Hence proved

8 0

3 years ago

Lanny bought 1 4 pounds of rice that costs $0.40 per pound. How much does lanny pay for the rice ?

lesya692 [45]

Answer:

The answer is $5.60

Step-by-step explanation:

14×0.40= 5.6

5 0

3 years ago