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2 years ago

9

An architect used this diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70°

to determine the length of railing needed for the balcony.

1 answer:

Phantasy [73]2 years ago

3 0

49FT. LENGTH=ANGLE OVER 360 x 2pi

= 70 over 360 x 2pi (40)

= 48.9 = 49FT.

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Data were collected on random specimens of Yellowfin tuna from 1991 and 2010. For the sample of 231 specimens of Yellowfin tuna,

Molodets [167]

Answer:

95% confidence interval: (0.325 ,0.383)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 231

Sample mean = 0.354 ppm

Sample standard deviation = 0.231 ppm

95% confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 4 and}~\alpha_{0.01} = \pm 1.97$

$0.354 \pm 1.97(\dfrac{0.231}{\sqrt{231}} ) = 0.354 \pm 0.029 = (0.325 ,0.383)$

6 0

2 years ago

Fill in the gaps in the arithmetic sequence -3, _ ,_ , _, _, _ 12

lord [1]

Answer:

-0.5, 2, 4.5, 7, 9.5

Step-by-step explanation:

The given terms are 6 apart, so the common difference is 1/6 of their difference:

d = (12 -(-3))/6 = 15/6 = 5/2 = 2.5

Add 2.5 to each term to get the next one. Then the sequence is ...

-3, <u>-0.5</u>, <u>2.0</u>, <u>4.5</u>, <u>7.0</u>, <u>9.5</u>, 12

8 0

3 years ago

If h(x) = 5x - 3 and j(x) = -2x, solve hlj(2)] and select the correct answer below. (1 point)

BARSIC [14]

Answer:

-23

Step-by-step explanation:

We are given the functions;

h(x) = 5x - 3 and j(x) = -2x

Now, we want to find h[j(2)]

j(2) = -2(2)

j(2) = -4

Thus;

h(-4) = 5(-4) - 3

h(-4) = -20 - 3

h(-4) = - 23

4 0

2 years ago

Sergeu [11.5K]

Answer:

$9C=5(F-32)$

Step-by-step explanation:

The equation which can convert the temperature from degree Celsius into degree Fahrenheit is given as under

$9C=5(F-32)$

We can solve it further for F as

$9C=5F-5 \times 32$

$9C=5F-160$

$9C+160=5F$

Dividing both sides by 5 we get

$\frac{9C}{5}+32=F$

$F=\frac{9C}{5}+32$

Now substituting values of C in this equation will give us the corresponding values of F

Ex : C=1

$F=\frac{ 9\times 1}{5}+32$

$F=\frac{ 9+160}{5}$

$F=\frac{ 169}{5}$

Hence 1 degree Celsius is $\frac{ 169}{5}$ degree Fahrenheit

4 0

3 years ago

() = ()<br> ( + ) = () − <br> ( + ) = () − <br> () = () = <br> () =?

lubasha [3.4K]

Answer:

idk

Step-by-step explanation:

7 0

3 years ago