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Alja
20 days ago
9

The top of a building is 65 meters away from a spot located 16 meters away from the foot of the building. What is the height of

the building?
Mathematics
1 answer:
tester [8.8K]20 days ago
5 0
65^2-16^2=63^2, which means the answer is 63.
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The graph below shows the solution to which system of inequalities?
Zina [9179]
The solution is C. Let’s start by identifying the equations without inequalities. Since there's a dotted line at y = 1, options A and B can be disregarded. Dotted lines indicate exclusivity, so they do not encompass the = sign. Therefore, the answer must be C.
7 0
7 days ago
Island A is 150 miles from island B. A ship captain travels 240 miles from island A and then finds that he is off course and 200
babunello [8423]
Applying the cosine law, we can determine:

<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a, b, and c represent the sides of the triangle and C indicates the angle opposite to side c</span>

<span>Thus, we have:</span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>

<span>Now we solve for C</span>

<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500 - 57,600 - 40,000 = -96,000cos(C) 
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)→ C=38.53°

<span>Therefore, the direction the captain should head towards island B is
180 - 38.53 </span><span>= 141.47 degrees</span>
4 0
20 days ago
A silent auction was held for a quilt donated for charity. Fifteen bids that were drawn randomly are listed here. What percentil
Leona [9271]

The provided values are

$85 $240 $120 $60 $315 $190 $145 $105 $285 $260 $95 $215 $235 $175 $155

To start, we will arrange these in ascending order

resulting in

$60 $85 $95  $105  $120  $145 $155 $175 $190 $215 $235 $240 $260 $285 $315

The total count is 15

the position of 105 is 4

Now, we can calculate the percentile

=\frac{4}{15} *100

Thus, the percentile for the bid of $105 is 26.667%...........Response

7 0
9 days ago
Read 2 more answers
At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be a new school m
babunello [8423]
The solution is c 156 students. 
8 0
1 month ago
Read 2 more answers
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him
Inessa [9006]

Answer:

The answer is

-0.245 \pm2.160(0.205)

Step-by-step explanation:

After operating under these conditions for a period of 6 months, he selects a simple random sample of 15 days. He logs the hours he walked each day as tracked by his fitness monitor, alongside his recorded billable hours from a work application on his computer.

The calculated slope is -0.245

The number of samples is n = 15

The standard error is 0.205

The confidence level is 95

The significance level is (100 - 95)% = 0.05

The degrees of freedom is n - 2 = 15 - 2 = 13

Critical Value = 2.16 = [using excel = TINV (0.05, 13)]

Marginal Error = Critical Value * standard error

= 2.16 * 0.205

= 0.4428

-0.245 \pm2.160(0.205)

8 0
29 days ago
Read 2 more answers
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