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4 years ago

if a staircase has 8 inches of rise for every 12 inches of thread, what is the slope of the staircase?

Mathematics

2 answers:

Fiesta28 [93]4 years ago

8 0

14.4 inches ( to 1 decimal place)

the rise and tread are at right angles to each other and the slope is the hypotenuse of the right triangle formed

using Pythagoras' identity

slope = √(8² + 12²) = √(64 + 144) = √208 = 14.4 ( to 1 dec. place)

Serggg [28]4 years ago

8 0

Using the formula for m=slope=ystep/xstep the slope of your staircase is 8/12= 2/3 and hence 66.6% slope

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Noah rides his bike 175 miles a week. If he rides his bike the same number of miles for 15 weeks, how many miles will noah ride?

qwelly [4]

Multiply 175 and 15 to get 2625 miles.

3 0

4 years ago

Which equations are correct? Select each correct answer. −5a4(2a2+4)=−10a6−20a4 −4x2(2x2+5)=−8x4−20x2 −6y4(4y2+2)=−24y8−12y4 −4b

slamgirl [31]

1. Consider the expression $-5a^4(2a^2+4)=-10a^6-20a^4.$

Start with left side and use dustributive property :

$-5a^4(2a^2+4)=-5a^4\cdot 2a^2-5a^4\cdot 4=-10a^6-20a^4.$

This option is true.

2. Consider the expression $-4x^2(2x^2+5)=-8x^4-20x^2.$

Start with left side and use dustributive property :

$-4x^2(2x^2+5)=-4x^2\cdot 2x^2-4x^2\cdot 5=-8x^4-20x^2.$

This option is true.

3. Consider the expression $-6y^4(4y^2+2)=-24y^8-12y^4.$

Start with left side and use dustributive property :

$-6y^4(4y^2+2)=-6y^4\cdot 4y^2-6y^4\cdot 2=-24y^6-12y^4\neq -24y^8-12y^4.$

This option is false.

4. Consider the expression $-4b^3(5b^2+3)=-20b^6-12b^3.$

Start with left side and use dustributive property :

$-4b^3(5b^2+3)=-4b^3\cdot 5b^2-4b^3\cdot 3=-20b^5-12b^3\neq -20b^6-12b^3.$

This option is false.

Answer: A, B - true, C, D - false.

5 0

4 years ago

Read 2 more answers

Use the graphs to determine the function’s domain and range. Express in either interval form, inequalities, or in words.

IgorLugansk [536]

D: (-infinity, +infinity)
R: [-4, +infinity)

4 0

3 years ago

In 201620162016, the city of Rio de Janeiro had a population density of 5377\,\dfrac{\text{people}}{\text{km}^2}5377 km 2 people

docker41 [41]

Complete question:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

Answer:

0.005377 peope/m²

Step-by-step explanation:

Given that :

Population density of Rio in 2016 = 5377 people/km²

To obtain population density in people per square meter, we convert 5377people/km² to people per m²

Recall:

1000 m = 1km

Hence,

5377 people/km² = 5377 people / (1000²)m

= (5377/1000000)people/m²

= 0.005377 peope/m²

8 0

4 years ago

Give the algebraic expression for the product of a number and 4 more than the number

Liono4ka [1.6K]

Answer:

An algebraic expression is a compact way of describing mathematical objects ... the three main components of algebraic expressions are numbers, variables, and ... to be successful in writing or interpreting any given algebraic expression. ... a number increased by 4, x + 4 ... 11 more than the product of 3 and y, 3y + 11.

Step-by-step explanation:

3 0

4 years ago