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3 years ago

A set of stairs is being built as shown.

Mathematics

2 answers:

Oduvanchick [21]3 years ago

7 0

a squared + b squared = c squared

The answer is 7 inches

Sergio [31]3 years ago

5 0

Step-by-step explanation:

using Pythagoras a²+b²=c²

HOWEVER you know the hypotenuse

so it's rearranged to either c²-b²=a² or c²-a²=b²

so 13²-11²

so 169-121

this makes 48

square root 48 is 6.90 inches

this rounds up to 7 Inches

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How to simplify expressions eg: 10 to the fourth power divided by 10 to the 6th power

Otrada [13]

the answer for this problem is 0.01

8 0

3 years ago

2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of

AleksAgata [21]

Answer:

$y = \frac{5000r}{3} -50$

Step-by-step explanation:

Represent the SAT score with y and the rate with r.

So, we have:

$(r_1,y_1) = (90\%,1450)$

$(r_2,y_2) = (69.6\%,1110)$

Required

Determine the equation in slope intercept form

First, we calculate the slope

$m =\frac{y_2 - y_1}{r_2 - r_1}$

This gives:

$m =\frac{1110 - 1450}{69.6\% - 90\%}$

$m =\frac{-340}{-20.4\%}$

Convert percentage to decimal

$m =\frac{-340}{-0.204}$

$m =\frac{340}{0.204}$

Multiply by 1000/1000

$m =\frac{340*1000}{0.204*1000}$

$m =\frac{340000}{204}$

$m = \frac{5000}{3}$

The equation is then calculated as:

$y - y_1 = m(r - r_1)$

This gives:

$y - 1450 = \frac{5000}{3}(r - 90\%)$

Open Bracket

$y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%$

Convert percentage to decimal

$y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90$

$y - 1450 = \frac{5000r}{3} - 5000*0.30$

$y - 1450 = \frac{5000r}{3} - 1500$

Make y the subject

$y = \frac{5000r}{3} - 1500+1450$

$y = \frac{5000r}{3} -50$

3 0

3 years ago

Simplify(x²y³z²)and evaluate x³yz²)and evaluate x=½,y=2,z=3

Usimov [2.4K]

Answer:

(½² x 2³ x 3²)

¼ x 8 x 9

¼ x 72

= 18

½³ x 2×3

Step-by-step explanation:

½² x 2³ x 3²

¼ x 8 x 9

¼ x 72

= 18

½³ x 2 x 3²

⅛ x 2 x 9

⅛ x 18

¼ x 9

9/4

=2¼

5 0

3 years ago

How would I find the coordinates to graph this? How would you make an x/y table with it?

Dafna11 [192]

First to plot the equation start by plotting a point on the y axis on 1. Then from there u go up 1 quadrant and over to the right 3 quadrants and plot a point, continuously. Then opposite to find the x intercept, down one and left three. The y intercept is 1 or (0,1) and the x intercept is -3 or (-3,0)

5 0

3 years ago

Which expression is equivalent to the given expression?

mote1985 [20]

A. because you distribute the X

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3 years ago

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