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4 years ago

What is the measure of ADB?

Mathematics

2 answers:

ollegr [7]4 years ago

8 0

I’m thinking it’s c if I’m incorrect I’m sorry

lana [24]4 years ago

6 0

Answer: (A) 35 degrees

Explanation:

(I am assuming the 70 degrees measure refers to the central angle <ACB)

The "easy" way: clearly the angle <ADB must but smaller than <ACB (this follows from a simple triangle argument) and given that the only choice of an angle smaller than 70 degrees is (A) 35 degrees, that should be the correct pick without showing work. But we can do better.

The principled way: let us actually determine the measure <ADB. Connect the points DC with a line segment starting at D, crossing C, bisecting <ACB and ending intersecting the arc at a point, say, E. The angle <ECB=35 degrees, therefore the angle <BCD=180-35=145 degrees. Therefore <BDC=17.5 degrees. Since the triangle ABD is isosceles, <CDB = <CDA. Therefore <ADB = 2*17.5=35 degrees.

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DedPeter [7]

Answer:

Step-by-step explanation:

Given the expression $\sqrt{10} * \sqrt{10}$ . To find the product of this two values, the following steps must be followed.

According to one of the law of indices, $\sqrt{a} = a^{\frac{1}{2} }$

$\sqrt{10} * \sqrt{10}\\= 10^{\frac{1}{2} }* 10^{\frac{1}{2} }\\= 10^{\frac{1}{2}+\frac{1}{2}}\\ = 10^{1} \\= 10$

The product is 10

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Step-by-step explanation:

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velikii [3]

Answer:

Problem 4:

Radius = 11 cm.

Circumference = 69.08 cm.

Problem 5:

Radius = 14 mm.

Circumference = 87.92 mm.

Problem 6:

Radius = 9 inches.

Circumference = 56.52 inches.

Problem 7:

Diameter = 32 ft.

Circumference = 100.48 ft.

Problem 8:

Diameter = 26 yards.

Circumference = 81.64 yards.

Problem 9:

Diameter = 12 cm.

Circumference = 37.68 cm.

Step-by-step explanation:

Problem 4:

Given:

Diameter GH = 22 cm

We need to find the radius EF and Circumference of the circle.

Now radius is given by half of the diameter

Also Circumference is given by π times diameter.

Radius EF = $\frac{1}{2}\times Diameter = \frac{1}{2}\times 22 = 11 \ cm$

Circumference = $\pi \times Diameter = 3.14 \times 22 = 69.08\ cm$

Hence Radius = 11 cm

Circumference = 69.08 cm.

Problem 5:

Given:

Diameter OP = 28 mm

We need to find the radius MN and Circumference of the circle.

Now radius is given by half of the diameter

Also Circumference is given by π times diameter.

Radius MN = $\frac{1}{2}\times Diameter = \frac{1}{2}\times 28 = 14 \ mm$

Circumference = $\pi \times Diameter = 3.14 \times 28 = 87.92\ mm$

Hence Radius = 14 mm

Circumference = 87.92 mm.

Problem 6:

Given:

Diameter EF = 18 inches

We need to find the radius CD and Circumference of the circle.

Now radius is given by half of the diameter

Also Circumference is given by π times diameter.

Radius CD = $\frac{1}{2}\times Diameter = \frac{1}{2}\times 18 = 9 \ in$

Circumference = $\pi \times Diameter = 3.14 \times 18 = 56.52\ in$

Hence Radius = 9 inches.

Circumference = 56.52 inches.

Problem 7:

Given:

Radius GH = 16 ft

We need to find the Diameter CD and Circumference of the circle.

Now Diameter is given by twice the radius.

Also Circumference is given by π times diameter.

Diameter KJ = $2 \times radius = 2 \times 16 = 32 \ ft$

Circumference = $\pi \times Diameter = 3.14 \times 32 = 100.48\ ft$

Hence Diameter = 32 ft.

Circumference = 100.48 ft.

Problem 8:

Given:

Radius LM = 13 yards

We need to find the Diameter CD and Circumference of the circle.

Now Diameter is given by twice the radius.

Also Circumference is given by π times diameter.

Diameter NO = $2 \times radius = 2 \times 13 = 26 \ yards$

Circumference = $\pi \times Diameter = 3.14 \times 26 = 81.64\ yards$

Hence Diameter = 26 yards.

Circumference = 81.64 yards.

Problem 9:

Given:

Radius NO = 6 cm

We need to find the Diameter CD and Circumference of the circle.

Now Diameter is given by twice the radius.

Also Circumference is given by π times diameter.

Diameter PQ = $2 \times radius = 2 \times 6 = 12 \ cm$

Circumference = $\pi \times Diameter = 3.14 \times 12 = 37.68\ cm$

Hence Diameter = 12 cm.

Circumference = 37.68 cm.

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3 years ago