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1 year ago

A triangular face of the roof of the garage has two sides

Mathematics

1 answer:

aleksklad [387]1 year ago

5 0

Answer:

The roof does form a right triangle.

Step-by-step explanation:

If it is a right triangle then it will obey the Pythagoras Theorem.

Now (√186)^2 = (√93)^2 + (√93)^2

186 = 93 + 93 = 186

So it obeys the theorem and is therefore a right triangle.

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An equation is shown below:

gayaneshka [121]

6(2x-11)+15=3x+12 Given
12x-66+15=3x+12 Distribution
12x-51=3x+12 Combine like terms
12x=3x+63 addition
9x=63 subtraction
x=7 division

the value of x that makes the equation true is 7.

8 0

3 years ago

A quadrilateral has angle measures of 120°, 37°, and 48°. What is the measure of the fourth angle?

White raven [17]

155 degrees because the sum of the angles in a quadrilateral is 360 degrees.
x + 120 + 37 + 48 = 360
x= 155

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3 years ago

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Tracy is running in a 5.25-kilometer race on Saturday. A marathon is approximately 42 kilometers. How many time as long as Tracy

Naddik [55]

Answer:

i needed points sorry

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3 years ago

Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your

BaLLatris [955]

$f(x,y)=\dfrac{y^3}x$

a. The gradient is

$\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath$

$\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}$

b. The gradient at point P(1, 2) is

$\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}$

c. The derivative of $f$ at P in the direction of $\vec u$ is

$D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}$

It looks like

$\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath$

so that

$\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2$

Then

$D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}$

$\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}$

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3 years ago

I need to know what -(6h + 7) + 8 = -19 is

melisa1 [442]

Answer:

10/3

Step-by-step explanation:

-1(6h + 7) = -6h - 7

-6h - 7 + 8 = -6h + 1

-6h + 1 = -19

-1 -1 <em>- Subtract 1 from both sides.</em>

-6h = -20

-6 -6<em> - Divide both sides by negative 6</em>

h = 10/3

4 0

3 years ago

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