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2 years ago

What is the area of this figure?

Mathematics

1 answer:

Dmitrij [34]2 years ago

6 0

Answer:

the area is 30

Step-by-step explanation:

area of triangle =base×height

so ,

base=7.5

height=4

why , shouldn't we take 5(or)6 as height because we shouldn't take slanting lengths as height.

so apply base and height in the formula

7.5×4=30

please follow me

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Solve for x.<br> 5(x-2)-x-5= -3

Paha777 [63]

multiply out brackets

5x-10-x-5=-3

collect like terms

4x-15=-3

isolate x

4x=12

work out x

12/4=3

answer: x=3

8 0

2 years ago

Which equation has a constant of proportionality equal to 1? A. y=10/11x B. y= 7/8x C. y= 3/15x D. y=x

shtirl [24]

An equation is said to have a constant of proportionality if 'x' is a multiple of 'y' or 'y' is a multiple of 'x'.

Now, we have to determine an equation with constant of proportionality as '1'.

1. $y = \frac{10}{11}x$

This equation has constant of proportionality as ' $\frac{10}{11}$ '.

2. $y = \frac{7}{8}x$

This equation has constant of proportionality as ' $\frac{7}{8}$ '.

3. $y = \frac{3}{15}x$

This equation has constant of proportionality as ' $\frac{3}{15}$ '.

4. $y = x$

This equation has constant of proportionality as '1'.

Option D is the correct answer.

8 0

2 years ago

Write down the output y in terms of x

atroni [7]

Answer:

the x means 9

Step-by-step explanation:

6 0

3 years ago

Which property of real numbers is illustrated by the equation (46 + 32) + 71 = 46 + (32 + 71)? *

Sav [38]

Associative property

4 0

3 years ago

Evaluate the surface integral. s xy ds s is the triangular region with vertices (1, 0, 0), (0, 8, 0), (0, 0, 8)

zmey [24]

Parameterize $S$ by

$\vec s(u,v)=(1-u)v\,\vec\imath+8uv\,\vec\jmath+8(1-v)\,\vec k$

with $0\le u\le1$ and $0\le v\le1$ .

Then the surface element is

$\mathrm dS=\|\vec s_u\times\vec s_v\|\,\mathrm du\,\mathrm dv=8\sqrt{66}\,v\,\mathrm du\,\mathrm dv$

and the surface integral is

$\displaystyle\iint_Sxy\,\mathrm dS=8\sqrt{66}\int_0^1\int_0^18(1-u)uv^3\,\mathrm du\,\mathrm dv=\boxed{8\sqrt{\dfrac{22}3}}$

4 0

3 years ago