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vesna_86 [32]
3 years ago
12

Rachel wants to buy a shirt regularly priced at $32. It is on sale for 40% off. Rachel estimates that she will save 2/5 of $30 o

r $12. Will the actual amount be more or less than $12? Explain. I need this done today so help me now plz!!!
Mathematics
1 answer:
Goryan [66]3 years ago
3 0
Okay, so first you know that the shirt was priced at $32.
It's on sale for 40%. 
40% = \frac{40}{100} 
Now we can make a proportion, so set the values in a fraction.
\frac{x}{32} =  \frac{40}{100}
We put 32 on the bottom since it's the total amount.
Divide 100 by 32, so 100÷32=3.2
Now divide the numerator (40) by 3.2, so 40÷3.2=12.5
That means the new cost of the shirt is $12.50 so the new amount will be more than 12 dollars. 
Hope that helped :)

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Answer:

1922.7 cubic inches

Step-by-step explanation:

The volume of a cylinder can be found with this formula:

V=πr^2h

The radius, r, is half the diameter.

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2 years ago
MN is a diameter of a circle with centre ' O ' . If BD = CD , prove that ∠OAD = ∠OCD
Varvara68 [4.7K]

Answer:

\sf \: Proved \: \angle \: OAD  \:  =  \angle \: OCD

Step-by-step explanation:

<em>Given:</em>

Mn is diameter of circle having centre O

and BD = OD,

<em><u>To prove that:</u></em>

<u>\angle \: OAD  \:  =  \angle \: OCD</u>

<em>Solution:</em>

Join the points O and B and draw OB,

On joining the line,

in ∆OCD and ∆OBD,

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BD =CD → (from given)

OD =OD → (Common side in both the triangles)

Hence ∆OCD and ∆OBD are congruent from SSS property.

so we can say that,

\angle \: OBD  \:  =  \angle \: OCD

Consider above prove as statement A

Corresponding angles of congruent traingle.

in ∆ OAB,

OA = OB (radius of same circle)

hence ∆OAB is an isosceles traingle.

We know that opposite angle of isosceles traingle are always equal. hence,

\angle \: OBD  \:  =  \angle \: OAB \\ \angle \: OAB  \:  =  \angle \: OAD (same \: angles) \\ \angle \: OBD  \:  =  \angle \: OAD

Consider above prove as statement B

From Statement A & B we can say that

\angle \: OAD  \:  =  \angle \: OCD

<em>Thanks for joining brainly community!</em>

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-⅔

Step-by-step explanation:

8^x = 4^(-1)

2^3x = 2^(-2)

3x = -2

x = -⅔

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3 years ago
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