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3 years ago

An architect is creating a scale model of a building with a rectangular base. The ratio of the

Mathematics

2 answers:

SashulF [63]3 years ago

7 0

Answer:

I believe its 330

Step-by-step explanation:

If you look at the ratio 110:3 and 9 is 3*3 you would also have to multiply 110*3 which is 330 if you still don't understand you can ask me

krok68 [10]3 years ago

4 0

Answer: 28

Step-by-step explanation: 110in/ 3in = L/ 9in

Since we’re solving for L we see that L= 110in/ 3in x 9in = 330in.

Since there are 12 inches in 1 foot, you can determine the number of feet in the length of the building base by dividing the total number of inches by 12.

330/12 = 27.5 which rounds to 28 feet

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Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Citrus2011 [14]

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

${x}^{2} - xy + {y}^{2} = 7$

introduce dy/dx :

$\frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0$

make dy/dx the subject:

$2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1}$

At point (-1, 2):

$\frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3}$

but a tangent has the same slope as the curve:

$y = mx + c$

m is the slope

c is the y-intercept

At (-1, 2):

$2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3}$

equation:

$y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}$

8 0

4 years ago

Read 2 more answers

Sophie deposited money into an account in which interest is compounded semiannually at a rate of 3.2%. She made no other deposit

Anestetic [448]

13987.17=p(1+0.032/2)^2*7
Solve for p
P=13,987.17÷((1+0.032÷2)^(14))
P=11,199.99

5 0

3 years ago

Find the area of the segment. Round to the nearest tenth.

Verdich [7]

Answer:

havarti? maybe 4 im sorry if its wrong

Step-by-step explanation:

5 0

3 years ago

Need help bad please will mark brainliest

katrin [286]

Answer:

(-3, 5), (4, 1), (-1, -5)

Step-by-step explanation:

270° counterclockwise rotation is same as 90° clockwise

The rule is:

(x, y) → (y, -x)

Given points:

A(-5, -3), B(-1, 4), C(5, -1)

Translated points:

A' = (-3, 5)
B' = (4, 1)
C' = (-1, -5)

3 0

3 years ago

Find the area of the shaded region of the region

Alecsey [184]

Check the picture below.

so, if we get the whole area of the figure, which will be the combined areas of those three rectangles, and if we get the area of the triangle, and then subtract that area from of the triangle from the whole figure's area, we're in effect making a whole in the total area, and what's leftover is the shaded area.

$\bf \stackrel{\textit{area of the rectangles}}{(1.6\cdot 5.2)+(2.7\cdot 8.4)+(1.6\cdot 5.2)}~~-~~\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(2.7)(8.4)} \\\\\\ 8.32+22.68+8.32~~-~~11.34\implies 39.32-11.34\implies 27.98$

3 0

3 years ago