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2 years ago

Use the diagram to complete the statement. m∠ECF = degrees

Mathematics

1 answer:

alexdok [17]2 years ago

5 0

Answer:

36.86989765

Step-by-step explanation:

As Angle GBC = Angle CDF = 45, so CF = CD as it is an isosceles right triangle , then as sin(45) = 1/root(2), so CF = 12, then tan(angle ECF) = FE/CF = 9/12, then angle ECF = tan^-1 (9/12) = 36.86989765.

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How much would $150 invested at 8% interest compounded continuously be worth after 17 years

Umnica [9.8K]

Answer:

Approximately $584.43

Step-by-step explanation:

Your formula is A=Pe^rt

A is what you're looking for, the amount

P is the principal aka what you put into the account: $150

e is the mathematical constant. You'd plug that into your calculator.

r is the rate, you'd put it into the equation as a decimal: 8%=.08

t is the time in years: 17

A=150e^.08x17 you can plug this into your calculator

A=$584.43

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2 years ago

Which equation represents a circle with the same radius as

sattari [20]

Answer :

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

Step-by-step explanation:

Given : A circle with the same radius as the circle shown but with a center at (-1.1).

To find : Which equation represents a circle ?

Solution :

The equation of a circle with center (h,k) and radius r is given by :

$(x-h)^2+(y-k)^2=r^2$

Here, we are given (h,k)=(-1,1)

and radius r=4 units

So, equation of circle will be :

$(x-(-1))^2+(y-1)^2=4^2$

$(x+1)^2+(y-1)^2=4^2$

or $(x+1)^2+(y-1)^2=16$

Therefore, the required equations of circle are

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

7 0

2 years ago

"In the figure, what is m A) 15 B) 35 C) 50 D) 65"

laila [671]

B) 35
the formula is .5(outer angle - inner angle) = .5(100-30)=.5*70=35

7 0

2 years ago

Read 2 more answers

. A tennis supply store pays a wholesaler $90 for a tennis racquet and sells it for $144. What is the markup rate?

I am Lyosha [343]

Formula : Amount of change / Original amount

1. 144 - 90/ 144

2. Subtract 144 and 90

3. 54/ 144

4. Divide 54 by 144

5 0.375

6 Move the decimal two places to the right.

7. 37.5 %

Answer: 37.5% is the markup rate

6 0

2 years ago

The diameter of the wheels on your car is 25 inches. You are going to drive 458 miles today. Each of your wheels is going to tur

Kipish [7]

d = Diameter of wheels = 25 inches

s = Distance to be traveled by the wheels = 458 miles

Converting the miles to inches

$s=458\times 5280\times 12=29018880\ \text{inches}$

The distance traveled by the wheels in rotation is the circumference

$D=\pi d\\\Rightarrow D=\pi\times 25$

The number of rotations required to cover the distance would be

$\dfrac{s}{D}\\ =\dfrac{29018880}{\pi\times 25}\\ =369479.855599$

$1$ rotation is $360^{\circ}$ so

$369479.855599\times 360=133012748.016^{\circ}$

The number of rotations to cover the required distance is $133012748.016^{\circ}$

Learn more:

brainly.com/question/23298088

brainly.com/question/1066067

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2 years ago