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vodka [1.7K]
3 years ago
8

At what angle would a carpenter cut a board to create a complementary angle if the other end was cut to 35 degrees?

Mathematics
2 answers:
Sergio039 [100]3 years ago
6 0
55 degrees
90-35=55
55+35=90
ale4655 [162]3 years ago
3 0

Answer:

55

Step-by-step explanation:

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Find the dimensions of a rectangle, length 7m less than three times the width and the area of the rectangle is 66m^2.
zhuklara [117]

  We know: length of a rectangle is 7m less than three times the width.

So let's set the length to l, width to w.

And we can get that l = 3w-7.

We also know that the area of the rectangle is 66 m^2.

Thus, l*w= 66.

So we have:

function 1: l=3w-7

function 2: l*w=66

plug function 1 to 2.

(3w-7)*w=66

3w^2-7w-66=0

w=6 and -11/3.

And the width of a rectangle can not be negative.

So: w=6.

Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.

l=3*6-7=11.

So: the width of the rectangle is 6, and the length of the rectangle is 11.


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4 years ago
What is domain, codomain,range?​
tatiyna

\huge\bold\red{Answer:-}

<h2><u>✭</u><u>Domain:-</u></h2>

what can go into a function.

<h2><u>✭</u><u>codomain:-</u></h2>

what may possibly come out of a function

<h2 /><h2><u>✭</u><u>ʀange:-</u></h2>

what actually comes out of a function.

<h2 /><h2>ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘꜱ❤</h2>
4 0
3 years ago
Read 2 more answers
How many ways can a person toss a coin 14 times so that the number of tails is between 11 and 13 inclusive
Zarrin [17]

Answer:

Step-by-step explanation:

Probability is the possibility for an event to occur or not to occur.

The formula for a combination is:

n choose r = n! / (r! x (n-r)!)

Given

n=14

r= 11 to 13

Hence, we shall add up the cases for 11 through 13.

nCr

14C11 + 14C12 + 14C13

14!/11!(14-11)! + 14!/12(14-12)! + 14!/13(14-13)!

= 14!/11!•3! + 14!/12!•2! + 14!/13!•1!

= 14*13*12*11!/11!•(3*2*1) + 14*13*12!/12!•(2*1) + 14*13!/13!•(1*1)

= 2184/6+182/2+14/1

= 364+91+14

= 469 ways

5 0
3 years ago
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10. A 50-ft ladder leans against a building so that the base of the ladder is 15 feet from the
Hunter-Best [27]

By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°

<em><u>Recall:</u></em>

  • Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.
  • SOH represents: sin ∅ = Opp/Hyp
  • CAH represents: cos ∅ = Adj/Hyp
  • TOA represents: tan ∅ = Opp/Adj

The diagram attached below depicts the problem given.

∅ = x

Opp = 15 ft

Hyp = 50 ft

  • Thus, applying the trigonometry ratio, SOH, we have:

sin x = 15/50

x = sin^{-1}(15/50)

x = 17.5°

In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°

Learn more about trigonometry ratio on:

brainly.com/question/4326804

6 0
2 years ago
Oz=4.5lb what is the answer not sure
Eddi Din [679]
4.5 pounds and 72 ounces
Good luck!
8 0
3 years ago
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