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maria [59]
2 years ago
14

Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!

Mathematics
1 answer:
choli [55]2 years ago
3 0

Answer:

4

Step-by-step explanation:

Well 3 x 4 equals 12, 12 x 4 equals 48, and so on.

hope this helps!

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A tire company produced a batch of 5 comma 900 tires that includes exactly 260 that are defective. a. If 4 tires are randomly se
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The answer is 12 I promise
7 0
3 years ago
Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

Answer: \text{Length of AG=}\frac{2\sqrt{63}}{3}

Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

We are given length of CG=4  

Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

\therefore CM=\frac{1}{2}AB\Rightarrow AB=12

In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3} ft  

CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

Length of AG=2/3 AN

\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


5 0
3 years ago
If the focal point is (2,5) and the directrix is y = -7. Find the equation of the parabola.
mihalych1998 [28]

Answer:

The equation of the parabola is (x-2)^2 = 48(y-5)

Step-by-step explanation:

Mathematically, we can obtain the equation of a parabola from its focal point and the directrix given.

Firstly, we need to find the distance between the director and the vertex

That would be ;

|-7-(5)| = 12

We should kindly note that the directrix is below the vertex and thus it is a right-side parabola with a positive value of p = 12

Thus, the equation needed would be;

(x-h)^2 = 4p(y-k)

From the question, h = 2

p = 12 ( calculated) and k = 5

So the equation would be;

(x-2)^2 = 4(12)(y-5)

= (x-2)^2 = 48(y-5)

8 0
3 years ago
The population of weights for men attending a local health club is normally distributed with a mean of 172-lbs and a standard de
iren2701 [21]

Answer:

The average weight beyond which the elevator would be considered overloaded is 183 lbs.

Step-by-step explanation:

Weight in excess of 6222 lbs means that the elevator is overload.

With 34 men:

Average weight greater than:

6222/34 = 183 lbs

The average weight beyond which the elevator would be considered overloaded is 183 lbs.

5 0
3 years ago
What is the amount of interest that Sam will pay on his $5000 loan if his monthly payment for three years is 150
Ne4ueva [31]

Answer:

Amount of interest pay by Sam = $400

Step-by-step explanation:

Given:

Amount of loan taken by Sam = $5,000

Monthly payment made by Sam = $150

Number of year payment made by Sam = 3 Year

Find:

Amount of interest pay by Sam

Computation:

Total amount pay by Sam in 3 year = Monthly payment made by Sam x 12 x 3

Total amount pay by Sam in 3 year = 150 x 12 x 3

Total amount pay by Sam in 3 year = $5,400

Amount of interest pay by Sam = Total amount pay by Sam in 3 year - Amount of loan taken by Sam

Amount of interest pay by Sam = $5,400 - $5,000

Amount of interest pay by Sam = $400

8 0
3 years ago
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