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Genrish500 [490]
3 years ago
14

Juan spent 1 1/2 hours working on a project on Monday, 2 hours on Tuesday, and 2 3/4 hours on Thursday. How many hours did it ta

ke him to finish the project?
Mathematics
2 answers:
aleksklad [387]3 years ago
6 0

Answer:

8 1/4 hours

Step-by-step explanation:

Virty [35]3 years ago
6 0
This is how you solve it
you need a common denominator for 1 1/2 and 2 3/4 so you can do 4
1 1/2 •2= 1 2/4
so 1 2/4 + 2 3/4 = 3 1/4 then you add 2 so 5 1/4
the answers would be - 5 1/4
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The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5
Andrew [12]

Answer:

B


Step-by-step explanation:

<u>This is a right triangle as shown by the right angle.</u>

  • The side opposite the right angle is the hypotenuse, which is 9.
  • The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

sin\theta=\frac{opposite}{hypotenuse}

Since, we need angle A, \theta is A, opposite side is 3, and hypotenuse is 9, we substitute:

sinA=\frac{3}{9}\\sinA=\frac{1}{3}

<em>To solve for the angle, we use our calculator and find the inverse sin of \frac{1}{3} :</em>

A=sin^{-1}(\frac{1}{3})\\A=19.47

<em>Rounding to nearest tenth of a degree:</em>

A=19.5

B is the right choice.

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Step-by-step explanation:

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Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
mr Goodwill [35]

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

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=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

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kirza4 [7]

Answer:

Step-by-step explanation:

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