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Ronch [10]
3 years ago
10

Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1540 feet

. They measure angle DAC to be 38º and angle DBC to be 25º. What is the distance from A to B ? Round your answer to the nearest tenth of a foot.
Mathematics
1 answer:
astraxan [27]3 years ago
7 0

Answer:

there is a 13 degree difference from DBC and DAC

 with that you divide 1540 by 13 as you get that 118.461 feet

that means that there is a 118.461 difference from B to C and A to B

so the answer is either 1658.461ft or 1421.539ft I am not sure if that is correct or not but best of luck mate  

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3. Find two possible lengths for CD if C, D, and E
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Given :

C, D, and E  are col-linear, CE = 15.8 centimetres, and DE=  3.5 centimetres.

To Find :

Two possible lengths for CD.

Solution :

Their are two cases :

1)

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Here, CD = CE - DE

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2)

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D      E              C

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insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 91 of
ss7ja [257]

Answer: (13.22\%,\ 19.34\%)

Step-by-step explanation:

Given : Sample space : n= 559

Sample proportion : \hat{p}=\dfrac{91}{559}=0.162790697674\approx0.1628

=16.28\%

Significance level : \alpha= 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Confidence level for population proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.1628\pm (1.96)\sqrt{\dfrac{0.1628(1-0.1628)}{559}}\\\\=0.1628\pm0.030604971367\\\\\approx 0.1628\pm0.0306=(0.1322,\ 0.1934)=(13.22\%,\ 19.34\%)

Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.= (13.22\%,\ 19.34\%)

7 0
3 years ago
A container holds a combination of nickels and quarters. There are 156 coins in all, and their total value is $21.60. The system
Tatiana [17]
X+y=156
<span>0.05x+0.25y=21.6

-1/4*/ x+y=156
1/20x+1/4y=216/10

-1/4x-1/4y=156*-1/4=-39

</span>1/20x+1/4y=216/10
<span>+--------------------------
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x=87

</span>x+y=156
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87+y=156    y=69

this question answer is </span><span>87 nickels and 69 quarters</span><span>

</span>
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