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3 years ago

1.) In the previous problem which of the following is m<b

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

6 0

Answer:

Step-by-step explanation:

(1) From the given figure, it is given that $AC=8$ , $AB=16$ and $CB=8\sqrt{3}$ , thus using the trigonomtery, we have

$\frac{AC}{AB}=sinB$

⇒ $\frac{8}{16}=sinB$

⇒ $\frac{1}{2}=sinB$

⇒ $B=sin^{-1}(\frac{1}{2})$

⇒ $B=30^{\circ}$

therefore, the measure of the angle B is 30°.

Hence, option A is correct.

(2) From the given figure, using the trigonometry, we have

$\frac{x}{20}=sin35^{\circ}$

⇒ $x=20{\times}sin35^{\circ}$

⇒ $x=20{\times}0.573$

⇒ $x=11.5$

Thus, option C is correct.

MrRissso [65]3 years ago

3 0

A and d a for the first one d for the second one

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Paul [167]

Answer:

idk a or c

Step-by-step explanation:

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3 years ago

What is the length of the arc if: 11. r=10 n=20 A15(pi)/ 7 B13(pi)/ 5 C16(pi)/ 2 D11(pi)/ 4 E 10(pi)/ 9 F 9(pi)/ 4 12. r=3 n=6 A

Vilka [71]

Step-by-step explanation:

The formula for arc length [for the angle in degrees] is:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

here,

$n$ = degrees

$r$ = radius

using this we'll solve all the parts:

r = 10, n = 20:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (10) \left(\dfrac{20}{360}\right)$

from here, it is just simplification:

2 and 360 can be resolved: 360 divided by 2 = 180

$L = \pi (10) \left(\dfrac{20}{180}\right)$

10 and 180 can be resolved: 180 divided by 10 = 18

$L = \pi \left(\dfrac{20}{18}\right)$

finally, both 20 and 18 are multiples of 2 and can be resolved:

$L = \pi \left(\dfrac{10}{9}\right)$

$L = \dfrac{10\pi}{9}$ Option (E)

r=3, n=6:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (3) \left(\dfrac{6}{360}\right)$

$L = \dfrac{\pi}{10}$ Option (D)

r=4 n=7

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (4) \left(\dfrac{7}{360}\right)$

$L = \dfrac{7\pi}{45}$ Option (C)

r=2 n=x

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (2) \left(\dfrac{x}{360}\right)$

$L = \dfrac{x\pi}{90}$ Option (D)

r=y n=x

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (y) \left(\dfrac{x}{360}\right)$

$L = \dfrac{xy\pi}{180}$ Option (E)

6 0

3 years ago

Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC

RoseWind [281]

Answer:

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = $\sqrt{320}$

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² = 24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

32DC = 640.41

DC = $\frac{640.41}{32}$

DC = 20.01

Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0

3 years ago

Solve the equation show your work 3x equals 45

natima [27]

Answer:

x = 15

Step-by-step explanation:

3x / 3 = 45 / 3 x = 15

7 0

3 years ago

Read 2 more answers

In circle O, what is mArc A E?

posledela

Answer:

Option (3). 120° will be the answer.

Step-by-step explanation:

By using the theorem of secants intersecting externally,

Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs.

m∠C = $\frac{1}{2}(m\widehat{AE}-m\widehat{BD})$

36° = $\frac{1}{2}(m\widehat{AE}-48)$

72° = $m\widehat{AE}-48$ °

$m\widehat{AE}$ = 72 + 48

$m\widehat{AE}$ = 120°

Therefore, Option (3) is the answer.

7 0

2 years ago