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svp [43]
4 years ago
12

Can someone help me with this?

Mathematics
2 answers:
hodyreva [135]4 years ago
8 0
Use inverse to solve this problem. Tan-1(5/27). =10.491 which rounded to the nearest degree equals 11.
e-lub [12.9K]4 years ago
5 0
For the angle marked x, 5 ft is the opposite leg, and 27 ft is the adjacent leg.
The trig ratio that relates the opposite leg and the adjacent leg is the tangent.

\tan \theta = \dfrac{opp}{adj}

\tan x = \dfrac{5~ft}{27~ft}

x = \tan^{-1} \dfrac{5}{27}

x = 10.491477^\circ

Rounded to the nearest degree, the answer is 10 degrees.
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A sample of 50 cotton threads shows the mean breaking strength to be 220 grams and the sample standard deviation to be 12 grams.
xenn [34]

Answer:

220-2.01\frac{12}{\sqrt{50}}=216.589    

220+2.01\frac{12}{\sqrt{50}}=223.411    

The confidence interval for this case would be (216.589, 223.411)

Step-by-step explanation:

Information given

\bar X=220 represent the sample mean

\mu population mean

s=12 represent the sample standard deviation

n=50 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=50-1=49

The Confidence level is 0.95 or 95%, the significance is \alpha=0.05 and \alpha/2 =0.025, the critical value for this case is t_{\alpha/2}=2.01

And replacing we got:

220-2.01\frac{12}{\sqrt{50}}=216.589    

220+2.01\frac{12}{\sqrt{50}}=223.411    

The confidence interval for this case would be (216.589, 223.411)

6 0
3 years ago
Help please! i don’t understand how to do this!
atroni [7]

Answer:

x=c+b/a

Step-by-step explanation:

ax-b=c

    +b +b

ax=c+b

__ ___

a=c+b/a

4 0
3 years ago
Read 2 more answers
In triangle $ABC$, the angles $\angle A$, $\angle B$, $\angle C$ form an arithmetic sequence. If $\angle A = 23^\circ$, then wha
LenKa [72]

Answer:

97^0

Step-by-step explanation:

Given that the angles A, B, C in a Triangle form an arithmetic sequence where A=23 degrees.

The nth term of an Arithmetic sequence is given by the formula: T_n=a+(n-1)d

Where:

a=first term

n=number of term

d=common difference

In this case,

Angle \:A, a=23^0

Angle B, T_2=23+(2-1)d=(23+d)^0\\Angle C, T_3=23+(3-1)d=(23+2d)^0

The sum of angles in a triangle is 180 degrees. Therefore:

∠A+∠B+∠C=180 degrees

23^0+(23+d)^0+(23+2d)^0=180\\69^0+3d=180^0\\3d=180^0-69^0\\3d=111^0\\d=37^0

Therefore:

Angle C,

(23+2d)^0=(23+2(37))^0=23+74\\C=97^0

6 0
3 years ago
A rectangular flower bed measures 10 m by 6 m. It has a path 2 m wide around it. Find the area of the path.
Leni [432]

Step-by-step explanation:

the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).

we know the dimensions of the small rectangle : 10×6

and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10

(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).

the area of the large rectangle is

14 m × 10 m = 140 m²

the area of the small rectangle is

10 m × 6 m = 60 m²

so the area of the path is

140 - 60 = 80 m²

5 0
3 years ago
Help me please! I’m desperate this is due in 10 mins please help ASAP!!
Wittaler [7]

Answer:

i am sorry i don't know the answer

i love you

Step-by-step explanation:

6 0
3 years ago
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