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zvonat [6]
2 years ago
14

Esteban has a big jar of change in his room. He has 600 coins total, and 240 of them are pennies. What percentage of the coins a

re pennies?
Mathematics
1 answer:
SashulF [63]2 years ago
8 0
Percentage of the coins are pennies=
=(number of pennies*100%) / (number of total coins)=
=(240 coins *100%)/600 coins=40%

40% of the coins are pennies.
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Given:
diamong [38]

Answer:

10-5\sqrt{2}

Step-by-step explanation:

As per the attached figure, right angled \triangle MDL has an inscribed circle whose center is I.

We have joined the incenter I to the vertices of the \triangle MDL.

Sides MD and DL are equal because we are given that \angle M = \angle L = 45 ^\circ.

Formula for <em>area</em> of a \triangle = \dfrac{1}{2} \times base \times height

As per the figure attached, we are given that side <em>a = 10.</em>

Using pythagoras theorem, we can easily calculate that side ML = 10\sqrt{2}

Points P,Q and R are at 90 ^\circ on the sides ML, MD and DL respectively so IQ, IR and IP are heights of  \triangleMIL, \triangleMID and \triangleDIL.

Also,

\text {Area of } \triangle MDL = \text {Area of } \triangle MIL +\text {Area of } \triangle MID+ \text {Area of } \triangle DIL

\dfrac{1}{2} \times 10 \times 10 = \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10\sqrt2\\\Rightarrow r = \dfrac {10}{2+\sqrt2} \\\Rightarrow r = \dfrac{5\sqrt2}{\sqrt2+1}\\\text{Multiplying and divinding by }(\sqrt2 +1)\\\Rightarrow r = 10-5\sqrt2

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At a college, the tuition increased by 10%. Let b be the former cost of tuition. Use the expression b + 1.10b for the new cost o
Sunny_sXe [5.5K]

Given:

At a college, the tuition increased by 10%. Let b be the former cost of tuition.

Use the expression b + 0.10b for the new cost of tuition.

To find:

The equivalent expression by combining like terms.

Solution:

We have,

b + 0.10b

On combining the like terms, we get

b + 0.10b=1.10b

Therefore, the required equivalent expression is 1.10b.

5 0
3 years ago
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