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3 years ago

If m ABC = 122°, and m then m

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

8 0

Answer:

DBC = 122 - 71 = 51°

Step-by-step explanation:

sergiy2304 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

122-71 = 51°

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Using the table tool, create a truth table for compound statement ~p^~q.

Nataliya [291]

Answer:

Step-by-step explanation:

See the attachment for the chart

4 0

3 years ago

What is the area of<br> this figure?

n200080 [17]

Answer:

243 cm^2 + 108 cm^2 = 351 cm^2

Step-by-step explanation:

So, we have a rectangle and two triangles, we know all the sides or angles.

Rectangle: with 9 cm lenght 15cm + 12 cm = 27 cm

Formula: A=wl -> A=9*27 = 243 cm^2

Trianlge: A=ab/2

Angle 90°

Side A 12 cm

Side B 18 cm - 9 cm = 9 cm

A=ab/2=12·9/2=54 cm times 2 (for the opposite side) = 108 cm^2 = 351 cm^2

6 0

3 years ago

Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th

Drupady [299]

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

$area = 2*\pi*r^2 + 2*\pi*r*h$

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

$area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}$

The surface area of the drum is 3317.5218 square inches.

4 0

4 years ago

Find real or imaginary solutions of x^4-10x^2=-9

malfutka [58]

This resembles a quadratic and we can factor it using that pattern.

$(x^2)^2-(10x^2)+9=0$

$(x^2-9)(x^2-1)$

$(x+3)(x-3)(x+1)(x-1)=0$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%285%5E%7B3%7D%29%5E%7B-3%7D" id="TexFormula1" title="(5^{3})^{-3}" alt="(5^{3})^{-3}" align="

morpeh [17]

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125}$

<u>Note</u>:-

$( { {a}^{m} })^{n} = {a}^{m \times n}$

${a}^{ - m} = \frac{1}{ {a}^{m} }$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}$

4 0

3 years ago