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2 years ago

Find the surface area of each triangular prism

Mathematics

1 answer:

Helen [10]2 years ago

3 0

If a and b represent the height and base of the triangular face, and h represents the length of its hypotenuse, and w represents the width or thickness of the prism, the surface area (A) is
.. A = ab +w*(a +b+ h)

Of course the area of each triangle is (1/2)ab, but there are two of them, so their total area is ab.

Put in the numbers and do the arithmetic. If you have a lot of them all specified in this way, a spreadsheet can make short work of it.

A = 5*12 +4*(5 +12 +13) = 160 . . . square inches

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What is the volume of this sphere?

PIT_PIT [208]

12 cubic feet!! this may be it

7 0

2 years ago

The ratio of pink roses bushes to white rose bushes in the city Garden is about 12 to 15. If there were 92 pink rose bushes, abo

andreyandreev [35.5K]

Answer:

$115\ white\ rose\ bushes$

Step-by-step explanation:

Let

x------> the number of pink roses bushes

y----> the number of white rose bushes

we know that

$\frac{x}{y} =\frac{12}{15}$

$y=\frac{15}{12}x$ -----> equation A

$x=92$

substitute the value of x in the equation A

$y=\frac{15}{12}(92)=115\ white\ rose\ bushes$

8 0

3 years ago

Which ratio is equivlant to 3:4

Crank

Answer:

There is multiple. You didnt give options so heres all of them.

Step-by-step explanation:

6 : 8 9 : 12 12 : 16 15 : 20 18 : 24 21 : 28 24 : 32 27 : 36 30 : 40 33 : 44 36 : 48 39 : 52 42 : 56 45 : 60 48 : 64 51 : 68 54 : 72 57 : 76 60 : 80 63 : 84 66 : 88 69 : 92 72 : 96 75 : 1007 8 : 104 81 : 108 84 : 112 87 : 116 90 : 120 93 : 124 96 : 128 99 : 132 102 : 136 105 : 140 108 : 144 111 : 148 114 : 152 117 : 156 120 : 160 123 : 164 126 : 168 129 : 172 132 : 1761 35 : 180 138 : 184 141 : 188 144 : 192 147 : 196 150 : 200 153 : 204 156 : 208 159 : 2121 62 : 216 165 : 220 168 : 224 171 : 228 174 : 232 177 : 236 180 : 240 183 : 244 186 : 248 189 : 252 192 : 256 195 : 260 198 : 264 201 : 268 204 : 272 207 : 276 210 : 280 213 : 284 216 : 288 219 : 292 222 : 296 225 : 300 228 : 304 231 : 308 234 : 312 237 : 316 240 : 320 243 : 324246 : 328249 : 332252 : 336255 : 340258 : 344261 : 348264 : 352267 : 356270 : 360273 : 364276 : 368279 : 372282 : 376285 : 380288 : 384291 : 388

etc etc

4 0

3 years ago

Factorize:<br>(2a - b)² - (a - 2b)²

bagirrra123 [75]

Answer:

3(a - b)(a + b)

Step-by-step explanation:

Factorize: (2a - b)² - (a - 2b)²

Different of Perfect a Square rule: a² - b² = (a + b)(a - b)

(2a - b)² - (a - 2b)² = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]

1. Distribute and Simplify:

Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)

Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)

We now have:

(3a - 3b)(a + b)

2. Factor out the Greatest Common Factor (3) from 3a - 3b:

(3a - 3b) → 3(a - b)

3. Add "(a + b)" back into your factored expression:

3(a - b)(a + b)

Hope this helps!

7 0

2 years ago

Read 2 more answers

At a movie theater, tickets for children cost $8 each and adult tickets cost $8.75 each. Of ticket sales for a group of 35 peopl

alexandr402 [8]

Answer:

The results don't make sense

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

"x" is the number of children's tickets

"y" is the number of adult tickets

Thus:

8 * x + 8.75 * y = 259

x + y = 35 => x = 35 - y

replacing we have:

8 * (35 - y) + 8.75 * y = 259

280 - 8 * y + 8.75 * y = 259

- 8 * y + 8.75 * y = 259 - 280

0.75 * y = -21

y = -21 / 0.75

y = -28

Thus:

x = 35 - (-28) = 63

With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.

3 0

3 years ago