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2 years ago

Find surface area of rectangular prism

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

4 0

448 is the surface area of the rectangular prism

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frozen [14]

9514 1404 393

Answer:

cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

UQ = 24 cm

Then TQ is ...

TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

cos(x°) = 6/10 = 3/5

cos(x°) = 3/5 = 0.6

7 0

3 years ago

What is the equaiton of the line that goes through the point (6,-1) and is parallel to the line represented by the equautions y=

mixas84 [53]

parallel lines have the same slope

The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"

They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3

You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6

So far we have y=-5/6x + b

We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"

Replace that on the equation y=-5/6x + b and you get

-1 = (-5/6)(6) + b

-1 = -5 +b

4 = b

b = 4

We found b, or the y-intercept

Go back to the equation y = -5/6 x + b and replace this b with the b we just found

y = -5/6x + 4

6 0

2 years ago

Write an equation in slope intercept form for the line that travels through (1,-2) and (6,8)

MariettaO [177]

Answer:

y=2/1x

Step-by-step explanation:

Subtract (6,8) by (1, -2)

8--2/6-1=10/5

Simply

10/5=2

Plug in

y=2x

3 0

3 years ago

Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D.

Julli [10]

Answer:

$AB = 6$

Step-by-step explanation:

Given

$BC = 3.8$

$A'B' = 15$

$B'C' = 9.5$

Required

Determine the length of AB

Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

$A'B' : AB = B'C' : BC$

Substitute values for A'B', B'C' and BC

$15 : AB = 9.5 : 3.8$

Express the ratio as fractions:

$\frac{AB}{15} = \frac{3.8}{9.5}$

Multiply through by 14

$15 * \frac{AB}{15} = \frac{3.8}{9.5} * 15$

$AB = \frac{3.8}{9.5} * 15$

$AB = \frac{3.8* 15}{9.5}$

$AB = \frac{57}{9.5}$

$AB = 6$

8 0

2 years ago

Read 2 more answers

Identify the meaning of the variables in the point-slope form of a line.

hjlf

Answer:

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

Step-by-step explanation:

the equation of a straight line is;

y = mx + c

where;

x and y are any point on the line

m is the slope of the line

c is the intercept on the y axis

And a given point on (x,y) can be written as (x₁, y₁)

Therefore, for the case above;

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

3 0

3 years ago