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2 years ago

What’s the answer?????? #10

Mathematics

1 answer:

Marizza181 [45]2 years ago

5 0

Answer:

1024 or A

Step-by-step explanation:

64 x4 is 256 x4 it's a 1024

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EXAMPLEA Find the surface area of the rectangular prism. 6 m 8 m 3 m

Mama L [17]

Answer:

180 m²

Step-by-step explanation:

Surface area = 2 ( lw + wh + lh)

= 2( 6x3 + 3x8+8x6)

= 180 m²

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2 years ago

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

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3 years ago

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3. What is the molar mass of SO2?

Arada [10]

Answer: 64.066 g/mol

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Step by Step: To find the molecular mass of SO2, you are going to want to search out the mass of SO2. The mass of sulfur is 32AMU, and also the mass of oxygen is 16AMU, then times two thanks to the subscript, so 32. Add those up, and 32+32=64AMU, which is your mass for the entire.

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2 years ago

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faltersainse [42]

Answer:

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Step-by-step explanation:

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Tristan made 98 bracelets in 7 hours and Denita made 56 bracelets in 4 hours. These rates are equivalent because they have the s

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