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4 years ago

Find the product. (5/6)(5/8)(3/2)

Mathematics

1 answer:

scoundrel [369]4 years ago

3 0

Answer:

$\frac{25}{32}$

Step-by-step explanation:

$(\frac{5}{6})(\frac{5}{8})(\frac{3}{2})$ ← Original equation.

$\frac{5*5*3}{6*8*2}$ ← Remove parenthesis and multiply.

$\frac{75}{96}$ ← Simplify by GCF (greatest common factor) which is 3 here.

$\frac{25}{32}$ ← Final Answer.

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In this triangle, the product of sin B and tan C is<br> and the product of sin Cand tan B is

Ipatiy [6.2K]

Answer:

$\frac{c}{a}$ and $\frac{b}{a}$

Step-by-step explanation:

sinB = $\frac{opposite}{hypotenuse}$ = $\frac{AC}{BC}$ = $\frac{b}{a}$

tanC = $\frac{opposite}{adjacent}$ = $\frac{AB}{AC}$ = $\frac{c}{b}$

Thus

sinB tanC = $\frac{b}{a}$ × $\frac{c}{b}$ ( cancel b on numerator/ denominator )

= $\frac{c}{a}$

---------------------------------------------------------------------------

sinC = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{BC}$ = $\frac{c}{a}$

tanB = $\frac{opposite}{adjacent}$ = $\frac{AC}{AB}$ = $\frac{b}{c}$

Thus

sinC tanB = $\frac{c}{a}$ × $\frac{b}{c}$ ( cancel c on numerator/ denominator )

= $\frac{b}{a}$

7 0

3 years ago

Geometry question, any help is appreciated

kodGreya [7K]

Answer:

Hence, the ratios are given by 5:7, 25:49, 125:343.

Step-by-step explanation:

We are given two spheres such that:

Volume of small sphere $V_{s}$ = 250 $yd^{3}$

Volume of large sphere $V_{l}$ = 686 $yd^{3}$ .

Then the ratio of volume = 250 : 686 = 125 : 343.

Since, the volume of a sphere = $\frac{4 \pi \times r^{3}}{3}$ , this gives us that the ratio of the radius = ∛ $V_{s}$ : ∛ $V_{l}$

i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.

Further, as the surface area of a sphere = $4 \pi \times r^{2}$ , this gives us that the ratioof surface area = $r_{s} ^{2}$ : $r_{l} ^{2}$

i.e The ratio of the surface area = $5^{2}$ : $7^{2}$ = 25 : 49

So, the ratio of the surface areas = 25 : 49.

Hence, the ratios are given by 5:7, 25:49, 125:343.

4 0

3 years ago

Read 2 more answers

Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.

anygoal [31]

First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
putting time into years for simplicity,
4 months ÷ 12 months/year = 0.333333 years,
then, solving our equation

I = $ 376.00

I = 18800 × 0.06 × 0.333333 = 375.999624
I = $ 376.00

The simple interest accumulated
on a principal of $ 18,800.00
at a rate of 6% per year
for 0.333333 years (4 months) is $ 376.00.

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3 years ago

What is 3/4 divided by 1/4

Over [174]

Answer:

Step-by-step explanation:

7 0

3 years ago

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Reil [10]

-154= -214 - -60