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2 years ago

Help me plz!!!!!!!!!!!!

Mathematics

2 answers:

a_sh-v [17]2 years ago

8 0

The denominator is 4 and the numerioar to make factor 1/2 would be 4/8 then 1/2

mestny [16]2 years ago

4 0

Answer:

It is $\frac{4}{8}$

Step-by-step explanation:

Because 8 is 4 more than four and it is also equal to $\frac{1}{2}$ if you do 8÷4.

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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

2 years ago

Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment

Lorico [155]

Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid = $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

$P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}$

Where,

PV = present value of the loan,

n = number of semiannual payments,

r = annual rate,

Here, PV = 7500, r = 6.3% =0.063, n = 6,

By substituting the value,

The semiannual payment would be,

$P=\frac{7500(\frac{0.063}{2})}{1-(1+\frac{0.063}{2})^{-6}}$

$\approx \$ 1391.37$

Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

6 0

3 years ago

259 Students go on a field trip. There are 19 vehicles, some vans and some buses.

Sunny_sXe [5.5K]

Answer:

12 vans

7 Buses

Step-by-step explanation:

I tried multiple versions but I finally got it right.

Since the buses can hold 25 students at a time I multiplied it by 7.

7 x 25 = 175

Then you'll need to find the remainder.

259-175 = 84

This number would be used to find the students going in the van

84/7= 12

So in total there would be 12 vans

and 7 buses

I hope this helps

5 0

3 years ago

23% put into a fraction

never [62]

Answer:

23/100

Explanation:

23% is 23 out of 100. 23/100 can not be simplified further.

3 0

2 years ago

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There are seven days how many days are there in 16 weeks

Leya [2.2K]

There are 112 days in 16 weeks because all you have too do is take 16 and multiply it by 7 which gets you 112. Hope this helped.

4 0

2 years ago

Read 2 more answers