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mars1129 [50]
3 years ago
6

In circle R with m angle QRS= 90 and QR= 3 units find the length of arc QS round to the nearest hundredth

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

4.71 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the above question,

r = QR = 3 units

θ = angle QRS= 90 = 90°

The length of the arc is calculated as:

2 × π × 3 × 90/360

= 4.7123889804 units

Approximately to the nearest hundredth = 4.71 units

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An angle measures 80° more than the measure of a complementary angle. What is the measure of each angle?
Rom4ik [11]

Supplementary angles sum to 180 degree  

Let one angle be x  

Then the other angle is x+80  

Summing the 2 angle gives  

x+x+80=180

2x+80=180

2x=180-80

X=50

Thus the angles are 50 degree and 50+80= 130 degree  


6 0
4 years ago
Rogelio argues that log5 15635 is between 6 and 7 because 6^5 =7776 and 7^5=16807. Explain why you agree or disagree
solmaris [256]

Expressions can be represented as logarithms and exponents

Rogelio argument is correct

<h3>How to determine if Rogelio's claim is true</h3>

The logarithmic equation is given as:

\log_5(15635)

Apply logarithm rule, to rewrite the logarithmic equation

\log_5(15635) = \frac{\log(15635)}{\log(5)}

Evaluate the individual logarithmic expressions

\log_5(15635) = \frac{4.1941}{0.6990}

Evaluate the quotient (i.e. divide the expression)

\log_5(15635) = 6.0001

The above equation shows that \log_5(15635) is between 6 and 7

Hence, Rogelio argument is correct

Read more about equivalent expressions at:

brainly.com/question/2972832

8 0
3 years ago
Is it translation,rotation,reflection or dilation?
UkoKoshka [18]

Just looking at it, I can tell it's not a rotation because it's not rotated, it's not a reflection because its not flipped and it's not a translation because it became smaller, didn't just move. That makes this a dilation!

8 0
3 years ago
Read 2 more answers
3. What is the slope of the line through the points (2, 5) and (6, 13)?
White raven [17]

Answer:

m = 2

Step-by-step explanation:

m=\frac{rise}{run}=\frac{13-5}{6-2}=\frac{8}{4}=\boxed{2}

Hope this helps.

8 0
3 years ago
Below are \triangle ABC△ and \triangle DEF△DEFtriangle, D, E, F. We assume that AB=DEAB=DEA, B, equals, D, E, BC=EFBC=EFB, C, eq
Novay_Z [31]

Answer:

  • (A) AB = DE and segments with same length are congruent

Step-by-step explanation:

Justification of step 1 is based on the congruence of segments AB and DE.

<u>Therefore correct choice is the first one:</u>

  • (A) AB = DE and segments with same length are congruent
5 0
3 years ago
Read 2 more answers
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