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3 years ago

Plzzz helpp find the length of arc AD. use 3.14 for pi. round to the nearest tenth

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Answer:

15.7 cm

Step-by-step explanation:

Angle AD = 180°- 66.4°= 113.6° (considering 2x90°=180° on opposite side)

P= 2*3.14*7.9=49.6 cm

Arc AD= 49.6*113.6°/360°= 15.7 cm

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a jacket originally sold for $45. this week it went on sale for 20% off. what is the discount and what is the sales price?

Strike441 [17]

Answer:

discount = 9

new price = 36

Step-by-step explanation:

The discount is the price times the discount percent

45 * 20%

Change to decimal form

45*.20

The new price is the original price minus the discount

45-9 = 36

4 0

3 years ago

Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 500(1.075)120x = 100.000

Volgvan

Answer:

The solution is:

$x = 0.61$

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

$500(1.075)^{120x} = 100000$

$(1.075)^{120x} = \frac{100000}{500}$

$(1.075)^{120x} = 200$

To find x, we have to apply log to both sides of the equality.

We also have that:

$\log{a^{x}} = x\log{a}$

$\log{(1.075)^{120x}} = \log{200}$

$120x\log{1.075} = 2.30$

$120x*0.03 = 2.30$

$3.77x = 2.30$

$x = \frac{2.30}{3.77}$

$x = 0.61$

4 0

3 years ago

What are the solutions of the equation (x−13)2=400?

Slav-nsk [51]

Answer:

Step-by-step explanation:

$(x-13)^2=400\\\\ (x-13)^2=(\pm20)^2\\\\x-13=20\quad\vee\quad x-13=-20\\\\x=33\qquad\vee\qquad x=-7$

7 0

3 years ago

30 students in a class went on a trip to the other side of the city. There were 4 vans for the

torisob [31]

Answer:

Step-by-step explanation:

30-6=24

(6 people walked which means they are not included in the people fitting on the busses)

24/4=6

(from there you need to divide by 4 to tell how many were on each bus.)

3 0

3 years ago

I need help with this please:

castortr0y [4]

Answer:

B and C

Step-by-step explanation:

4/7 = 0.57

2/3 > 4/7

is this khan academy?

7 0

3 years ago

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