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liubo4ka [24]
3 years ago
9

Find the surface area of the figure shown.

Mathematics
1 answer:
balandron [24]3 years ago
3 0

Answer:

The correct answer is option d.  576 ft^2

Step-by-step explanation:

From the figure we can see that a prism

<u>To find the surface area</u>

Surface area = Base area + area of 2 triangles + Two side area

Base area = length * breadth = 15 * 12 = 180 ft^2

Area of triangle = bh/2 = (12 * 8)/2 = 48 ft^2

Area of two triangle = 48 * 2 = 96 ft^2

Area of one side = 15 * 10 = 150 ft^2

Area of two side = 2 * 150 = 300 ft^2

Surface area = 180 + 96 + 300 = 576 ft^2

The correct answer is option d.  576 ft^2

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Alja [10]

The first sequence, it is increase +1 for every number, because 2-3 is 1, 3 - 5 is 2, and 5 - 8 is 3. So, lets add 4 to 8, and we will know the next number of the sequence.

4 + 8 = 12

So, the next number in the first sequence is:

1, 1, 2, 3, 5, 8, 12

Second Sequence:

The second equation is doing exactly the same thing (it increases by 1 every number it goes) just this one is decreasing.

Proof: 26 - 24 is 2, 24 - 21 is 3, and 21 - 17 is 4.

Lets subtract 5 to 17 to know the next number.

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3 years ago
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sashaice [31]

Answer:

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b) Supplementary angles

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<AXC and DXC

Step-by-step explanation:

Complementary angles: Two angles are complementary angles if their sum equals 90°

Supplementary angles: Two angles are Supplementary angles if their sum equals 180°

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So, <DXC and < CXB are complementary angles

b) Name two Supplementary angles pair

<AXB and <DXB (their sum equals 180°)

<AXC and DXC ((their sum equals 180°))

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2 years ago
Apply Laws of Exponents to write an equivalent expression.<br> (3y)-4. (2z)-4
Stels [109]

After Applying Laws of Exponents we can write as (6yz)^{-4}

<h3>What is law of exponents ?</h3>

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.

<h3>How are powers of powers multiplied?</h3>

Exponents with distinct bases and the same powers can be multiplied by multiplying the bases and writing the power outside of the brackets.

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=3y^{-4} . 2z^{-4}

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To know more about law of exponents visit :

brainly.com/question/15993626

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Ludmilka [50]

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Step-by-step explanation:

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