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Marta_Voda [28]
2 years ago
11

What is the area of a 24-inch rug? Use area of a circle formula: A = πr²

Mathematics
1 answer:
zvonat [6]2 years ago
7 0
That’s 5 inch g , so like u see the 24 inch rug right then u do + 4 inch to get 5 inch fam
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Find the length of a leg of a right triangle (in inches) if the other leg measures 9 in. and the hypotenuse measures 19 in. Roun
kipiarov [429]

Answer:

a = 16.733

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 9^2 = 19^2

a^2 = 19^2 - 9^2

a^2 = 361-81

a^2 =280

Taking the square root of each side

sqrt(a^2) = sqrt(280)

a = 16.73320053

Rounding to the nearest thousandth

a = 16.733

5 0
3 years ago
Given: Tangents LA and LB, m∠AOB=110°. Find: m∠ALO.
Yuri [45]

Answer:

The measure of angle ALO = 35°

Step-by-step explanation:

* Lets talk about the tangents to a circle drawn from a point

 outside the circle:

- They are equal in length

- They are perpendicular to the radii at the point of tang-ency

- If we join the points of tang-ency withe the center of the circle

 and join the outside point with center of the circle, we

 formed two congruent triangles

* Now lets check our problem

- AL and LB are two tangents to the circle O ant points A and B

∴ LA = LB ⇒ (1)

- OA and OB are radii in circle O

∴ OA = OB ⇒ (2)

∴ OA ⊥ AL and OB ⊥ BL ⇒ radius and tangent

∴ m∠OAL = 90° , m∠OBL = 90

∴ m∠OAL = m∠OBL ⇒ (3)

* From (1) , (2) , (3)

- The two triangles LAO and LBO are congruent ⇒ SAS

- SAS is one case of congruence

∵ The lengths of two sides and the measure of the including

  angle between them in one triangle equal to the

  corresponding sides and angles in the second triangle,

  then the two triangles are congruent

∴ m∠LOA = m∠LOB

∵ m∠AOB = 110°

∴ m∠LOA = m∠LOB = 110/2 = 55°

* In ΔLAO

∵ m∠ LAO = 90° , m∠LOA = 55°

∴ m∠ALO = 180 - (90 + 55) = 180 - 145 = 35°

* The measure of angle ALO = 35°

8 0
3 years ago
Find −2310+425. Write your answer as a mixed number in simplest form.
Kamila [148]
Answer: -1885/1

Explanation: The solution to -2310 added to 425 is -1885. And in order to make this whole number a fraction, you must add a 1 as the denominator.
3 0
2 years ago
What is the result of converting 2.3 miles into yards
Alona [7]
4048 is the correct answer


7 0
3 years ago
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A parachutist's speed during a free fall reaches 75 meters per second. What is this speed in feet per second? At this speed, how
Alex

<span>Polly uses a probability simulator to pull colored ribbons from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:

</span>

<span><span>Color of RibbonNumber of Times Pulled</span><span><span>White25</span><span>Green14</span><span>Orange21</span></span></span>

<span><span>HeadsTails</span><span>3822</span></span>

<span>Using Polly's simulation, what is the probability of pulling an orange ribbon and the coin landing on tails?</span>
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3 years ago
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