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kap26 [50]
3 years ago
9

3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer: b=2(square root of 2) and a=4

Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to b=2\sqrt{2}.

In a 45-45-90 triangle, the hypotenuse is equal to x\sqrt{2} this means in order to find missing side length a, we have to multiply (2\sqrt{2})(\sqrt{2}) this will give us 4

so the missing side lengths are, b=2\sqrt{2} and a=4

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What is the surface area of this rectangular prism?<br><br> 5 ft<br> 4 ft<br> 12 ft
givi [52]

Answer:

256 ft²

Step-by-step explanation:

SA=2(lw+lh+wh) where l is length and w is width and h is height

Plug in the given information

SA=2(5*4+5*12+4*12)\\SA=2(20+60+48)\\SA=2(80+48)\\SA=2(128)\\SA=2(128)\\SA=256

Therefore, the surface area of the rectangular prism is 256 ft².

I hope this helps!

5 0
3 years ago
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What is the equation of the line?
Sav [38]

this has a y intercept of +2

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the equation of a line in slope intercept form is

y = mx+b

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4 0
4 years ago
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What is the leading coefficient of this polynomial when written in standard form?<br><br> 1-2x+5x^4
Goshia [24]

Answer:

5!!

Step-by-step explanation:

When writing the polynomial in standard form, we have:

5X⁴ - 2X + 1

The leading coefficient is 5, since it's part of the term with the highest degree.

6 0
3 years ago
Write an exponential function in the form y = abx that goes through points (0,16)<br>and (2,400).​
barxatty [35]

Answer:

y = 16 (5)^{x}

Step-by-step explanation:

Use the given points to find the values of a and b

Using (0, 16), then

16 = ab^{0} ( b^{0} = 1 ), thus

a = 16

y = 16 b^{x}

Using (2, 400), then

400 = 16b² ( divide both sides by 16 )

b² = 25 ( take the square root of both sides )

b = \sqrt{25} = 5

Thus

y = 16 ×  5^{x} ← exponential function

5 0
4 years ago
1. Change the following into 12 hour clock time<br>a) 1720 hours. b)0235 hours​
netineya [11]

Answer:

A) 5:20 pm

B) 2:35 am

Step-by-step explanation:

The hours in am are from 00:00 - 12:00, the numbers after 12 for example 17, you subtract 12 and the remaining is the hours and what is left of the number for example 20 is the minutes.

I am horrible at explaining but I hope this helps...  :)

8 0
3 years ago
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