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Step2247 [10]
3 years ago
10

Is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°

Mathematics
1 answer:
lesya692 [45]3 years ago
6 0

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

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Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t
likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

P =25000 -- the principal amount

R = 4\% -- the interest rate

T=1 --- the duration

The amount to pay back in this duration is then calculated using:

A = P(1 + RT)

So, we have:

A = 25000(1 + 4\% \times 1)

A = 25000(1 + 4\% )

Express percentage as decimal

A = 25000(1 + 0.04)

A = 25000(1 .04)\\

Multiply

A = 26000

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

brainly.com/question/1115815

7 0
3 years ago
What is the length of the unknown side?
777dan777 [17]

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

4 0
3 years ago
Explain how 49. 567 is done in fraction form
pav-90 [236]
<span>= 49567/1000

</span>rite the decimal number as a fraction
(over 1)
49.567 = 49.567 / 1

Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's

Numerator (N)
N = 49.567 × 10 × 10 × 10 = 49567
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000

N / D = 49567 / 1000

Simplifying our fraction

<span>= 49567/1000</span>
7 0
3 years ago
The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. Which equation models t
Zanzabum

Answer:  [H+] = 10^-7.2

Step-by-step explanation:

Given that the PH of the solution = 7.2

Using the formula pH = –log[H+]. To get the H+ concentration from the pH, raise both sides by the base of 10. Then we have

10^ -pH = H+. with pH of 7.2,

Thus the answer to this problem is

[H+] = 10^-7.2

8 0
4 years ago
HELP PLEASE!! VERY APPRECIATED<br> •In the triangle below what is the tangent of 30°?
AlekseyPX

Answer: D

Step-by-step explanation:

Tangent is...

other leg/ adjacent leg

8 0
4 years ago
Read 2 more answers
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