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2 years ago

Please help thank you!!

Mathematics

1 answer:

Dmitry [639]2 years ago

4 0

Answer:

Step-by-step explanation:

We have the rectangular prisms.

The formula of a volume of a rectangular prism is:

$V=lwh$

l - length

w - width

h - height

==========================================

Look at the picture.

Two congruent rectangular prisms 14cm × 3cm × 5cm.

$V=2(14\cdot3\cdot5)=420\ cm^3$

One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:

$V=15\cdot4\cdot6+7\cdot4\cdot3=360+84=444\ in^3$

One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:

$V=10\cdot3\cdot2+4\cdot3\cdot4=60+48=108\ cm^3$

One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:

$V=10\cdot3\cdot6+8\cdot3\cdot6=180+144=324\ m^3$

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Aleks04 [339]

We see that they are made up of identical squares, meaning that each side of each square is the same length. There are 12 square sides that make up the perimeter of A, so we can do 72/12 which is 6. We see there are ten total square lengths on the perimeter of b, so we can do 6 times 10 which is 60 cm. That’s your perimeter.

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2 years ago

(5.6x - 4) + (16 - 2.1x)<br><br> What is the sum of this expression?

Damm [24]

$\huge\text{Hey there!}$

$\large\textsf{(5.6x - 4) + (16 - 2.1x)}$

$\large\text{DROP the PARENTHESES}$

$\large\textsf{5.6x - 4 + 16 - 2.1x}$

$\large\text{COMBINE the LIKE TERMS}$

$\large\textsf{5.6x - 2.1x - 4 + 16}$

$\large\textsf{5.6x - 2.1x = \bf 3.5x}$

$\large\textsf{-4 + 16 = \bf 12}$

$\large\textsf{= \bf 3.5x + 12 }$

$\boxed{\boxed{\large\text{Answer: \huge \bf 3.5x + 12}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

7 0

3 years ago

HELP FAST PLEASE!!!

Alisiya [41]

Answer:

$y = -0.75x + 9.5$

Step-by-step explanation:

Equation of a circle is given as :

$(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x + y^{2} -10y + 45 = 0\\$

Take the derivative of the above with respect to x

$2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75$