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2 years ago

Answer question below answer question below

Mathematics

1 answer:

podryga [215]2 years ago

5 0

Answer:

r = sqrt(11)

Step-by-step explanation:

Area of sector, A = (theta) r^2/ 2 = 11 cm^2

Perimeter of sector, p= r theta+2r

Length of arc AB, a= r theta

We are given that p = 2a, so equate

r theta + 2r = 2(r theta)

2r = r( theta )

theta = 2 (radians)

Solve for r from area

Area = (theta) r^2 /2 = 11

substitute theta = 2

2 r^2 /2 =11

r^2 = 11

r = sqrt(11)

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Find m a 24.7 b 79.2 c 68.3 d 57.4 e 46.5 f 80.1 g 35.6

kogti [31]

Answer:

68.3 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan I = opp side / adj side

tan I = sqrt(82) / sqrt(13)

tan I = sqrt(82/13)

Taking the inverse tan of each side

tan ^-1 ( tan I) = tan ^-1( sqrt(82/13))

I = 68.2892

Rounding to the nearest tenth

I = 68.3 degrees

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3 years ago

Which characteristics do the functions have in common?

m_a_m_a [10]

Answer:

Range, Maximum, and y-intercept

Step-by-step explanation:

Range is the y-values of the function. Each of these functions has a range of (-inf, 10].

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3 years ago

Which BEST describes the construction of a triangle if given one side length of 10 cm and one right angle?

Svetllana [295]

D because it can't be unique since many triangles can share these characteristics. It can't be more than one triangle and the triangle is possible.

5 0

3 years ago

Working alone Ryan can dig a 10ft by 10ft hole in five hours castel can dig the same same hole in six how long would it take the

Sergeeva-Olga [200]

Answer:

The time taken by both when they work together is 2 hours 42 minutes .

Step-by-step explanation:

Given as :

The time taken by Ryan to dig 10 ft by 10 ft hole = x = 5 hours

The time taken bu Castel to dig 10 ft by 10 ft hole = y = 6 hours

Let The time taken by both when they work together = z hours

According to question

The time taken by both when they work together = time taken by Ryan to dig 10 ft by 10 ft hole + time taken bu Castel to dig 10 ft by 10 ft hole

i.e $\dfrac{1}{z}$ = $\dfrac{1}{x}$ + $\dfrac{1}{y}$

Or, $\dfrac{1}{z}$ = $\dfrac{1}{5}$ + $\dfrac{1}{6}$

Taking LCM

Or, $\dfrac{1}{z}$ = $\dfrac{6 + 5}{30}$

Or, $\dfrac{1}{z}$ = $\dfrac{11}{30}$

Or, z = $\dfrac{30}{11}$ hours

∴ z = 2 hours 42 minutes

So, The time taken by both when they work together = z = 2 hours 42 min

Hence, The time taken by both when they work together is 2 hours 42 minutes . Answer

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Tanzania [10]

Answer:

Step-by-step explanation:

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