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2 years ago

What is the percent increase.? original quantity :100 new quantity 106

Mathematics

2 answers:

bazaltina [42]2 years ago

7 0

The percent increase is 6% because it increased by 6 and 6 is 6% of 100.
Hope this helps!

avanturin [10]2 years ago

3 0

we know that

the number $100$ (original quantity) represent the $100\%$

the number $106$ (new quantity) represent the $x\%$

Step $1$

by proportion find the value of x%

$\frac{100}{100\%} =\frac{106}{x\%}\\\\x*100=100*106\\ \\x=106\%$

Step $2$

Find the increase percentage

$increase\ percentage=106\%-100\%=6\%$

therefore

the answer is

The percent increase is $6\%$

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2 years ago

Read 2 more answers

Round to the nearest tenth.

laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

Recall the Law of Cosines

$a^2=b^2+c^2-2bc\cdot cos(A)$

Identify angles and sides

$m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6$

Solve for side "a"

$a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2$

Therefore, the length of line segment BC is about 8.2 units

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