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3 years ago

If a base of a rectangle is 36cm and the area is 845cm2 what is the height of the rectangle

Mathematics

1 answer:

sveta [45]3 years ago

8 0

$\sf~A=bh$

Plug in what we know:

$\sf845=36h$

Divide 36 to both sides:

$\sf~h\approx23.47$

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Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.

Airida [17]

ANSWER:

The slope intercept form of the required line is y = -2x + 20.

SOLUTION:

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line passes through (7,-6).

We need to find the slope intercept form of perpendicular line of given line.

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is $\frac{1}{2}$ , by comparing with the general form of slope intercept form.

$\frac{1}{2} \times$ slope of required line = -1

Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

y – (-6) = -2(x – 7)

y + 6 = -2x + 14

y = -2x + 20

the above equation is in the form of slope intercept form of a line equation

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

6 0

3 years ago

triangle has sides measuring 2 inches and 7 inches If x represents the length in inches of the third side which inequality gives

il63 [147K]

We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
so
inequality 1
 $(2+7) \ \textgreater \ x \\ 9 \ \textgreater \ x \\ x \ \textless \ 9 in$

inequality 2
 $(x+2) \ \textgreater \ 7 \\ x \ \textgreater \ 7-2 \\ x \ \textgreater \ 5 in$

the answer is
 $5 in \ \textless \ x \ \textless \ 9 in$

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3 years ago

A gray-scale digital camera with 1,000,000 pixels takes a picture (the picture is made of 1,000,000 parts and each part has a ce

Novay_Z [31]

Let X be a random variable representing the mean gray scale of each pixel.
P(110 ≤ X ≤ 140) = P(X < 140) - P(X < 110) = P(z < (140 - 125)/15) - P(z < (110 - 125)/15) = P(z < 1) - P(z < -1) = P(z < 1) - [1 - P(z < 1)] = 2P(z < 1) - 1 = 2(0.84134) - 1 = 1.68268 - 1 = 0.68268

Number of pixels that have gray scale of between 110 and 140 = 0.68268 x 1000000 = 682680 = approximately 680,000

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3 years ago

How many outfits can you make out of 2 helmets, 6 shirts, and 2 pairs of shorts

Assoli18 [71]

Answer:

2 OUTFITS

Step-by-step explanation:

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3 years ago

Angle 3 and angle 12

Charra [1.4K]

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Step-by-step explanation:

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