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GalinKa [24]
3 years ago
8

What is the answer to 7(5-8x) > 147

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
7 0

Answer: x < -2

Step-by-step explanation:

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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters
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Answer:

(B)r=\dfrac{85}{12}

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

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Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

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4 years ago
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Add 49 to the quotient of 125 and 5
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125/5+49

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3 years ago
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The measure of two supplementary angles are in the ratio 4 5 find the degree measures of the angles
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Supplementary angles add to 180
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8 0
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It takes 20 hours and $400 to interview a candidate, and it takes 120 hours and $3600 to train an employee. A company has less t
zavuch27 [327]
<span>Let C denote the number of candidates they interview and E the number of employees they train.
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<span>If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.
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If <span>it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.
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Company has less than <span>$95000, then 400C+3600E<95000.
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Company <span>wants to spend at most 470 hours, then 20C+120E\le&#10; 470.
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<span>You obtain the system of two inequalities:
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\left \{ {{400C+3600E\ \textless \ 95000} \atop {20C+120E\le&#10; 470}} \right.  \\  \left \{ {{4C+36E\ \textless \ 950} \atop {C+6E\le &#10;23.5}} \right. \\ \left \{ {{4C+36E\ \textless \ 950} \atop {4C+24E\le &#10;94}} \right.
Then you can solve this system according to your demands.






3 0
3 years ago
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