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3 years ago

Five times a number divided by 3 equals 35. WHats the solution

Mathematics

2 answers:

maksim [4K]3 years ago

8 0

5n/3=35
5n=105
n=21
to double check, 5*21/3=35
105/3=35
hope this helps!

iren [92.7K]3 years ago

3 0

5x/3=35

5x = 35*3=105

x= 105/5 = 21

double check 5 x 21 = 105

105/3 = 35

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3 years ago

Someone help please!

saveliy_v [14]

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

$\frac{AB}{sinC}$ = $\frac{BC}{sinA}$

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

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3 years ago

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

a = 10
b = 16
c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need $b^2 < a^2+c^2$ to be true in order for an acute triangle to happen.

So,

$b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5$

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

$c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\$

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0

2 years ago