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3 years ago

A 20-foot ladder is leaning on a

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

Answer:

From the bottom of the building to the top of the ladder, it is 16 feet.

Step-by-step explanation:

Depending on what grade you are in, you might know the Pythagorean theorem, whose equation is a^2+b^2=C^2 The measurement of the leaning ladder (20ft) is the hypotenuse of the right triangle, the distance from the bottom of the ladder to the building is the leg length (12ft). With this information we know the "c" of the equation, and the "b" or "a" of the equation. If we plug in the number for the letter the equation will look like this:

12^2+b=20^2. 20 to the second power is 400, and 12 to the second power is 144. You can use the subtraction property of equality and get b^2=256. Use can use a calculator for this part. The square root of 256 is 16, which leaves the equation with b=16

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If m = 5 and n = -2, evaluate 3m - 4n and n2 - m and find the product of the two expressions.

ddd [48]

Hence the correct answer is C) -23

Further explanation:

We have to put the values of m and n into both expression first separately and then multiply the answers.

Given expressions are:

$Exp\ 1:3m-4n\\Exp\ 2: n^2-m$

The values are:

$m=5\\n=-2$

Putting the values in expression 1:

$3m-4n\\=3(5)-4(-2)\\=15+8\\=23$

Putting the values of m and n in second expression

$n^2-m\\=(-2)^2-5\\=4-5\\=-1$

Multiplying both expressions:

$(3m-4n)(n^2-m)=23* (-1)=-23$

Hence the correct answer is C) -23

Keywords: Polynomials, Putting values in expressions

Learn more about polynomials at:

#LearnwithBrainly

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3 years ago

Two sides of an isosceles triangle measure 3 inches and 7 inches. Which could be the length of the third side?

slamgirl [31]

Answer:

Step-by-step explanation:

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2 years ago

Which of the following expressions are equivalent to (x + y) - z

andrey2020 [161]

C: None of the above

7 0

3 years ago

Read 2 more answers

How would the expression x^2-4 be rewritten using Difference of Squares?

Anna [14]

a2 – b2 = (a + b)(a – b) or (a – b)(a + b).
This is the 'Difference of Squares' formula we can use to factor the expression.

In order to use the 'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.

x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.

√x^2 = x
√4 = 2

Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).

(a + b)(a - b)
(x + 2)(x - 2)

Our answer is final (x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.

Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.

3 0

3 years ago

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(3

defon

This question is incomplete because the options were not properly written.

Complete Question

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:

A) cos E = 31²+ 39² – 2(31)(39)

C) 56² = 39² – 2(39) ⋅ cos E

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Step-by-step explanation:

From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E

The formula for the Law of Cosines is given as:

c² = a² + b² − 2ab cos(C)

Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:

e² = d² + f² - 2df cos (E)

e = 56

d = 39

f = 31

56² = 39² + 31² - (2 × 39 × 31) × cos E

Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E

Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E

8 0

4 years ago