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4 years ago

One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?

Mathematics

1 answer:

denis-greek [22]4 years ago

3 0

Answer:

about 7 units

Step-by-step explanation:

10 $10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7$

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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

What is 1/2 times 5/2

Elena L [17]

Answer:

1/2 x 1/5 is .1

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The curved surface area of a cylinder is one third of its total surface area and the height is 5

frosja888 [35]

Answer:

Diameter of cylinder = 12 cm

Step-by-step explanation:

Given:

Height of cylinder = 5 cm

Total surface area of cylinder = 3 x [Curved surface area of a cylinder]

Find:

Diameter of cylinder

Computation:

Total surface area of cylinder = 3 x [Curved surface area of a cylinder]

πr²h = 3[2πrh]

πr²h = 6πrh

Radius of cylinder = 6 cm

Diameter of cylinder = 2 x Radius of cylinder

Diameter of cylinder = 2 x 6

Diameter of cylinder = 12 cm

3 0

3 years ago

What is the solution to the inequality below?

Inga [223]

The answer is D

Steps

Take the root of both sides and solve

8 0

3 years ago

zachary has coins of the coins 3/6 are nickles, 2/6 dimes, rest are quarters. What is the ratio of zacharies nickles, to dimes t

lesya692 [45]

Answer:

The ratio of zacharies nickels to dimes to quarters is <u>3 : 2 : 1</u>.

Step-by-step explanation:

Given:

Zachary has coins of the coins 3/6 are nickels, 2/6 dimes, rest are quarters.

Now, to get the ratio of zacharies nickels, to dimes to quarters.

So, as given dimes and nickels we find the quarters to get the ratio:

$\frac{3}{6} -\frac{2}{6}=\frac{3-2}{6} =\frac{1}{6}$ .

Thus, the quarters are 1/6.

Now, getting the ratio of the coins:

Nickels = 3/6 × 6 = 3

Dimes = 2/6 × 6 = 2

Quarters = 1/6 × 6 = 1

<em>Nickels : Dimes : Quarters = 3 : 2 : 1.</em>

Therefore, the ratio of zacharies nickels to dimes to quarters is 3 : 2 : 1.

8 0

3 years ago