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3 years ago

13

3. The area of a triangle-shaped piece of wood

1 answer:

DanielleElmas [232]3 years ago

3 0

Answer:

12.6 square inches

Step-by-step explanation:

A=(1/2)bh

A=(1/2)12*2.1

A=12.6 square inches

You might be interested in

What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0

1 year ago

Which expression is equivalent to 2 (14x-37+28x+12.2-5y-17.5)?

ziro4ka [17]

Answer:

A. 84x - 16y - 10.6

Explanation:

$\sf \rightarrow 2(14x-3y+28x+12.2-5y-17.5)$

$\sf \rightarrow 2 (42x-8y-5.3)$

apply distributive method: a(b + c) = ab + ac

$\sf \rightarrow 2 (42x) -2(8y)-2(5.3)$

$\sf \rightarrow 84x -16y-10.6$

7 0

1 year ago

Which answer shows a correct order to solve this story problem?

OLga [1]

The correct answer would be C :^)

4 0

2 years ago

Read 2 more answers

Noah was assigned to make 64 cookies for the back sale. He made 125% of that number. 90% of the cookies he made were sold. How m

Serhud [2]

Answer: 16

Step-by-step explanation:

100% is 64 and 1% of 64 is 6.4 and if you multiply 6.4 times 25 is 160 so 125% is 160 so 90% of 160 is 144 so 160-144 is 16

6 0

3 years ago

I only really need the domain and range, intervals, and end behavior. My Precalculus class never covered piecewise functions so

Serjik [45]

(a)

Domain:

we know that domain is all possible values of x for which any function ios defined

Here, curve is defined for all values of x

so, domain is

$(-\infty,\infty)$

Range:

Range is all possible values of y for which x is defined

minimum value of y is -4

maximium value of y is +inf

so, range is

$[-4,\infty)$

(b)

x-intercept:

It is the value of x where f(x)=0

so, the point where curve intersects on x-axis

and we get

$2x^2-4=0$

$x=\sqrt{2}$

and

$x=-5$

(c)

Increasing interval:

where curve is moving upward

we can see that

$(0,\infty)$

Decreasing interval:

where curve is moving downward

we get

$(-\infty,-1)U(-1,0)$

Constant:

constant means horizontal line

there is no horizontal line here

so, it does not exist

(D)

End behavior:

when x-->+inf

y is moving upward

so, y---->+inf

when x-->-inf

y is moving upward

so, y---->+inf

(E)

we can see that curve jupms at x=-1

so, there is discontinuity at x=-1

and this is jump type of discontinuity

(F)

For odd:

f(-x)=-f(x)

For even:

f(-x)=f(x)

we can see that none of them holds true

so, this is neither

3 0

3 years ago