Evaluate 5c-3d+115c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c, equals, 7 and d=8d=8d, equals, 8.

Mathematics

2 answers:

andrey2020 [161]3 years ago

6 0

Answer:

use substitution

(5 x 7) - (3 x 8) + 11= 35 - 24 + 11= 22

Anestetic [448]3 years ago

5 0

Answer:

Its 22 in simple words

Step-by-step explanation:

(5 x 7) - (3 x 8) + 11= 35 - 24 + 11= 22

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A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. When the sun is at a 65° angle of elevation,

Vinvika [58]

D = 25 ft is the length of a shadow. L - the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
= 180° - 150° = 30°.
We will use the Sine Law:
25 / sin 30° = L / sin 65°
25 / 0.5 = L / 0.9063
25 * 0.9063 = 0.5 L
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L = 22.6577 : 0.5
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3 0

3 years ago

Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p

sammy [17]

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>

It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format $\frac{p}{q}$ .

In this problem:

The leading coefficient is 1, hence it's only factor is $q = 1$ , thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.