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3 years ago

E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

<h2>m $\angle$ F = 34°</h2>

Step-by-step explanation:

If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°

To find m $\angle$ F add m $\angle$ E and m $\angle$ F and equate it to 90 to find x then substitute it into the expression for m $\angle$ F

Thats

m $\angle$ E + m $\angle$ F = 90

$\rarr$ 9x - 38 + 2x + 40 = 90

$\rarr$ 11x + 2 = 90

$\rarr$ 11x = 90 - 2

$\rarr$ 11x = 88

Divide both sides by 11

x = 8

Now we have

if m $\angle$ F = 9x - 38

m $\angle$ F = 9( 8) - 38

m $\angle$ F = 72 - 38

We have the final answer as

<h3>m $\angle$ F = 34°</h3>

Hope this helps you

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STatiana [176]

Answer:

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Now we can appply natural log on both sides and we got:

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Step-by-step explanation:

We have the following two expression:

$p_1 = 20 e^{kt}$

$p_2 = 60 e^{0.2t}$

We know that the two populations were equal 10 years after the start of the study, so then we can create the following equation:

$20 e^{k*10} = 60 e^{0.2*10}$

We can divide both sides by 20 and we got:

$e^{10k}= 3 e^{2}$

Now we can appply natural log on both sides and we got:

$10 k = ln(3e^2)$

Now we can divide both sides of the equation by 10 and we got:

$k = \frac{ln(3e^2)}{10}= 0.30986$

So then the aproximate value of k is 0.30986 and rounded would be 0.31

6 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

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3 years ago

There are 16 colored pencils and 8 colored pencils will fit in a box. How many boxes will the 16 pencils fill?

Gekata [30.6K]

Given:

Total number of colored pencils = 16

Colored pencils fit in a box = 8

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The number of boxed that will fit the 16 pencils.

Solution:

According to the question 8 colored pencils will fit in a box. So, we have

8 pencils = 1 box

Multiply both sides by 2.

2×8 pencils = 2×1 box

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Therefore, 2 boxes are required to fit the 16 colored pencils.

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2 years ago

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His weekly allowance would be 7

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3 years ago

Read 2 more answers

The product of 16 and 4 less than a number is 208. Find the number.

svlad2 [7]

This is a word problem signifying an algebraic expression.

Translating this to mathematics:

$16x - 4 = 208$

add 4 to both sides.

$16x = 212$

divide 16 to both sides.

$x = \frac{212}{16}$

this is:

$x = 13.25$

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3 years ago