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kobusy [5.1K]
3 years ago
8

Find an angle in each quadrant with a common reference angle with 77°, from 0°≤θ<360°

Mathematics
2 answers:
mr Goodwill [35]3 years ago
8 0

Answer:

Q1: 77°, Q2: 103°, Q3: 257°, Q4: 283°

Step-by-step explanation:

Note: Q1 = Quadrant 1

Q1: 77°

Q2: 180° - 77° = 103°

Q3: 180° + 77° = 257°

Q4: 360° - 77° = 283°

Katen [24]3 years ago
4 0

Answer:

Quadrant 1: 77°

Quadrant 2: 103°

Quadrant 3: 257°

Quadrant 4: 283°

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Suppose you want to buy 100 pens. You can buy 100 pens at a 10% discount at one store where the price is $3.99 per pen. And you
Sliva [168]

Answer:

store 1 price after discount = $3.59

other store price after discount = $3.63

total price difference of 100 pens between store is $4

Step-by-step explanation:

given data

buy = 100 pens

discount at one store = 10 %

price = $3.99 per pen

discount at another store = 15%

price = $4.27 per pen

solution

we get here first discount at store one is

discount = pen price × discount rate .............1

discount = $3.99 × 10%

discount = $0.399

so price of pen at store 1

price of pen at store 1 after discount is

price after discount = $3.99 - $0.399

price after discount = $3.59

and

discount at other store is

discount = pen price × discount rate .............2

discount = $4.27 × 15%

discount = $0.64

so price of pen at other store  

price of pen at other store after discount is

price after discount = $4.27  - $0.64

price after discount = $3.63

and

Price of 100 pens after discount at store 1 = $3.59 × 100

Price of 100 pens after discount at store 1  = $359

and

Price of 100 pens after discount at other store =  $3.63 × 100

Price of 100 pens after discount at other store =  $363

so total price difference of 100 pens between store is $363  - $359  

total price difference of 100 pens between store is $4

4 0
2 years ago
What is the range the 3rd side of the triangle can be with sides 15 cm and 14 cm?
lawyer [7]

Answer: if you are referring to a right triangle the third side might be 20.5cm

Step-by-step explanation:

I just used Pythagorean theorem  in which c^2=a^2+b^2

so this is c^2= 225 + 196 and then you get c^2= 421 and finally you get the square root of 421 so this way you finally get 20.5 cm

Hope I helped

Pdt: a=15   b=14

7 0
3 years ago
5. Sarah made 17 out of 25 free throws during practice. What percentage of free throws did she NOT make? A. 68% B. 58% C. 32% D.
Elanso [62]

Answer:

C. 32%

Step-by-step explanation:

The percent 17 is of 25.

17 of 25 can be written as:

17/25

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

17/25 * 100/100

= (17 * 100/25) * 1/100 = 68/100

Therefore, the answer is 68%

If Sara made 68% of her free shows, that means she didn't make 32% of her free throws (100 - 68 = 32).

5 0
2 years ago
Y=6x+13 x-intercept and y-intercept
Nonamiya [84]

Answer:

y int (0, 13)

x int (-13/6,0)

just make the x = 0 and solve to get y

same with the x make y =0 and solve

3 0
2 years ago
Used use euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y ' = y +
brilliants [131]
We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.

To use Euler's method, define
y(i+1) = y(i) + hy'(i),  for i=0,1,2, ..., 
where
h = 0.1, the step size.,
x(i) = i*h

1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1 

2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04

3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232

4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258

5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593

Answer:  y(0.5) = 1.4593
4 0
3 years ago
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