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12345 [234]
2 years ago
15

What is the result when the number 44 is increased by 75%?

Mathematics
2 answers:
ElenaW [278]2 years ago
7 0

Answer:

77.

Step-by-step explanation:

75% of 44

= 3/4 * 44

= 33

33+44

= 77.

finlep [7]2 years ago
5 0

Answer:

77

Step-by-step explanation:

75% of 44 = 33

33 + 44 = 77

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8a+4c=101
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3 0
3 years ago
Log(2t+4)=log(14-3t)
barxatty [35]

Answer:

t = 2

Step-by-step explanation:

2t + 4 = 14 - 3t

5t = 10

t = 2

Checking:

log(2(2) + 4)  =  log(8)

log(14 - 3(2))  =  log(8)

4 0
2 years ago
Can four 60° angles form a unique quadrilateral?
jolli1 [7]

Answer:

Nope

Step-by-step explanation:

No, it is not possible; Possible explanation: Four sides connected at these angles cannot form a closed figure. The sum of the angles in a quadrilateral is 360°. Possible quadrilaterals include a rhombus, a parallelogram, a trapezoid, and an unclassified quadrilateral.

7 0
3 years ago
Evaluate the integral Integral from (5 comma 2 comma 4 )to (7 comma 9 comma negative 3 )y dx plus x dy plus 3 dz by finding para
padilas [110]

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_{(5,2,4)}^{(7,9,-3)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz

Parameterize the line segment (call it C) by

\vec r(t)=(1-t)(5\,\vec\imath+2\,\vec\jmath+4\,\vec k)+t(7\,\vec\imath+9\,\vec\jmath-3\,\vec k)

\vec r(t)=(2t+5)\,\vec\imath+(7t+2)\,\vec\jmath+(4-7t)\,\vec k

with 0\le t\le1. Then

\vec r'(t)=2\,\vec\imath+7\,\vec\jmath-7\,\vec k

and the line integral is

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1((7t+2)\,\vec\imath+(2t+5)\,\vec\jmath+3\,\vec k)\cdot\vec r'(t)\,\mathrm dt

=\displaystyle\int_0^1((2t+5)+2(7t+2)-21)\,\mathrm dt

=\displaystyle\int_0^1(28t+18)\,\mathrm dt=\boxed{32}

Alternatively, if we can show that \vec F is conservative, then we can apply the fundamental theorem of calculus. We need to find f such that \nabla f=\vec F, which requires

\dfrac{\partial f}{\partial x}=y

\dfrac{\partial f}{\partial y}=x

\dfrac{\partial f}{\partial z}=3

Integrating both sides of the first equation with respect to x gives

f(x,y,z)=xy+g(y,z)

Differentiating both sides wrt y gives

\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

Differentiating wrt z gives

\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}

\implies h(z)=3z+C

So we have

f(x,y,z)=xy+3z+C

and \vec F is conservative. By the FTC, we find

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=f(7,9,-3)-f(5,2,4)=\boxed{32}

5 0
3 years ago
How to find the X with the midsegment theorem
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Half of 20 the line is in the middle of the triangle
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3 years ago
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