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Mathematics

1 answer:

ELEN [110]3 years ago

8 0

Reason 1: Given.

Reason 2: Vertical angles

Reason 3: Angle, Side, Angle(ASA)

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An item is regularly priced at $40. It is on sale for 30% off the regular price. What is the sale price?

morpeh [17]

40$ - 100% (full price)

x$ - 70% (100-30=70%)

40 * 70 = 100x

2800 = 100x

x = 28

Answer 28$

40$ = 100%

then 1% = 40/100 = 0.4$

so 70% will be 0.4 * 70 = 28$

8 0

3 years ago

Bryan bought cupcakes for his sister's birthday party. 15 cupcakes had sprinkles on top. The other 35 cupcakes did not have spri

podryga [215]

Answer: 30%

Step-by-step explanation:

Given: Cupcakes have sprinkles = 15

Cupcakes didn't have sprinkles = 35

Total cupcakes = 15+35 = 50

The percentage of the cupcakes had sprinkles = $\dfrac{\text{Cupcakes have sprinkles}}{\text{Total cupcakes}}\times100$

$=\dfrac{15}{50}\times100\\\\= 30\%$

Hence, the percentage of the cupcakes had sprinkles = 30%

3 0

3 years ago

Law of cosine. Please help

Anna35 [415]

Answer:

B) 41.7

Step-by-step explanation:

Let $a=25$ , $b=32$ , and $c=37$ . Use the Law of Cosines equation to find angle A=x which is directly across from side $a$ :

$\displaystyle \cos(A)=\frac{b^2+c^2-a^2}{2bc}\\ \\\cos(A)=\frac{32^2+37^2-25^2}{2(32)(37)}\\ \\\cos(A)=\frac{1024+1369-625}{2(1184)}\\\\\cos(A)=\frac{2393-625}{2368}\\ \\\cos(A)=\frac{1768}{2368}\\\\A=\cos^{-1}\biggr(\frac{1768}{2368}\biggr)\\ \\A\approx41.7^\circ$