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3 years ago

EXTRA CREDIT: Regular hexagon ABEFGH and regular quadrilateral BCDE meet at

Mathematics

1 answer:

never [62]3 years ago

8 0

Answer:

B.150°

Step-by-step explanation:

A regular hexagon has six sides.

The measure of the interior angle is 120°

At the point where vertices B and E share a common edge, angle BED is 90°

The sum of angle measures at point of intersection of edge BE ,ED and FE is equal to 360°

To get measure of angle DEF will be ;

=360° - {90°+120°}

=360°- {210°}

=150°

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What is 5p to the second power plus 7p to the second power

Sauron [17]

The answer is 74. I'm 100% sure.

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3 years ago

What is the volume of this prism?

marin [14]

Answer:

160 u^3

Step-by-step explanation:

For the sake of ease, I will split this prism into 2 prisms. One prism will be 2x4x5 while the second one will be 4x5x6. The volume of the prism will be the sum of the volume of both prisms.

Prism A: Volume would be lwh or 2*4*5=40

Prism B: Volume would also be lwh which is 4*5*6=120

40+120=160

The volume is 160 units^3

Hope this is correct and helps!

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3 years ago

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True [87]

Answer:

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Step-by-step explanation:

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3 years ago

Gonzalez Manufacturing borrowed $. Part of the money was borrowed at %, part at %, and part at %. The annual interest was $

Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% $= \frac{12}{100} \times x= 0.12x$

The value of y amount will be borrowed at 14% $= \frac{14}{100} \times x= 0.14x$

The value of z amount will be borrowed at 16% $= \frac{16}{100} \times x= 0.16x$

If the total amount= 21000

$\to x+y+z=21000$

If the total interest= 3000

calculating the total interest:

$\to 0.12x +0.14y +0.16z = 3000$

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

$\to x + y = 2z\\\\\to x + y - 2z = 0$

by calculating the value we have 3 equations that are:

$\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to x + y - 2z= 0\\$

calculate the matrix by above-given value:

$\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]$ $\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]$

by solving the above matrix we get:

$\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]$

$\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to \$ 7000 \text{ lent at} 16\%\\\\$

6 0

4 years ago

Simplify the radical expression square root of 64y^10h^5/16y^12h^5

Luba_88 [7]

We assume the variables y and h to be positive.

$\sqrt{\dfrac{64y^{10}h^{5}}{16y^{12}h^{5}}} =$

$= \sqrt{\dfrac{64}{16} \times \dfrac{y^{10}}{y^{12}} \times \dfrac{h^{5}}{h^{5}}}$

$= \sqrt{4 \times \dfrac{1}{y^{2}} \times 1}$

$= \sqrt{\dfrac{4}{y^{2}}}$

$= \dfrac{2}{y}$

6 0

3 years ago