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BigorU [14]
2 years ago
12

a cafe offers senior citizens a 15% discount off its regular rice of 8.95 for the dinner buffet. what percent of the regular pri

ce is the price for the senior citizens?
Mathematics
1 answer:
natta225 [31]2 years ago
4 0

Answer: 85%

Step-by-step explanation:

The regular price is 8.95, with a 15% discount for Seniors. So the senior price would be 100%-15%=85% of the regular price.

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Solve for x.
Rudiy27
5x^2 - 80 = 0
5x^2 = 80
x^2 = 80/5
x^2 = 16
x = sqrt 16
x = (4,-4) <===

8 0
3 years ago
Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4
arsen [322]

we are given

R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k

now, we can find x , y and z components

x=cos(8t),y=sin(8t),z=8ln(cos(t))

Arc length calculation:

we can use formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

x'=-8sin(8t),y=8cos(8t),z=-8tan(t)

now, we can plug these values

L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt

now, we can simplify it

L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8sec(t) dt

now, we can solve integral

\int \:8\sec \left(t\right)dt

=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|

now, we can plug bounds

and we get

=8\ln \left(\sqrt{2}+1\right)-0

so,

L=8\ln \left(1+\sqrt{2}\right)..............Answer

5 0
2 years ago
Salt water gargle can temporarily relieve a sore throat. One recipe calls for 3/4 teaspoon of salt in 1 cup of water. A second r
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Answer:

The first recipe - 3/4 tsp of salt in 1 cup of water

Step-by-step explanation:

1st recipe Salt per cup = 3/4 tsp / 1 cup = <em>3/4 tsp salt</em>

2nd recipe Salt per cup = 1 tsp / 2 cups = <em>1/2 tsp salt</em>

3/4 tsp > 1/2 tsp, hence the first recipe is saltier

7 0
2 years ago
A triangle has side lengths of 10, 20, and 30. what type of triangle is it
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Right triangle bc a^2+b^2=c^2. (Pythagorean theorem)
4 0
3 years ago
What is the value of x in the quadrilateral shown below? <br><br> A. 80°<br> B. 70°<br> C. 60°
stiks02 [169]
A quadrilateral has 4 angles that add up to 360 degrees. So, to solve for x:

85+150+55=290
360-290= 70
X= 70 degrees
5 0
3 years ago
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