MATHEMATICS HIGH SCHOOL

A traffic helicopter pilot 60 meters above the road spotted two antique cars. The angles of depression are 10.2 and 8.7 degrees. How far apart are the cars? A. 58.6 B. 392.1 C. 333.5 D. 57.8

Answers

Answer 1

Answer:

Answer:

A. 58.6 meters

Step-by-step explanation:

Angle of depression denotes the angle when looking down from a certain height.

$tan10.2=(60)/(AD)\n\Rightarrow AD=(60)/(tan10.2)$

$tan 8.7=(60)/(AB)\n\Rightarrow AB=(60)/(tan8.7)$

DB = AB-AD

$\n\Rightarrow DB =(60)/(tan8.7)-(60)/(tan10.2)\n\Rightarrow DB = 392.1-333.47\n\Rightarrow DB = 58.63\ meters$

The cars are 58.6 meters apart.

Answer 2

Answer: 58.6 is the answer to your question

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Answers

Congruent is the corrrect answer ya

Answer: I agree with the other person, and are there any options for the other two parts?

Systems of Equations:a boat traveled 210 miles downstream and back. the trip downstream took 10 hours. the trip back took 70 hours. what is the speed of the boat in still water? what is the speed of the current?

Need to show step by step. Thanks in advance.

Answers

$v_b-the\ speed\ of\ the\ boat\nv_c-the\ speed\ of\ the\ current\n\nv_b+v_c=(210)/(10)=21\ (mph)\n\nv_b-v_c=(210)/(70)=3\ (mph)\n\n +\left\{\begin{array}{ccc}v_b+v_c=21\nv_b-v_c=3\end{array}\right\n-----------\n.\ \ \ \ \ \ 2v_b=24\ \ \ \ /:2\n.\ \ \ \ \ \ \ \ \ v_b=12\ (mph)\n\n12+v_c=21\nv_c=21-12\nv_c=9\ (mph)$

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15 is 30% of what number?7 is what percent of 105?
10% of what number is 14?
What percent of 32 is 4?
And finally.. 1% of what number is 11?
Thanks

Answers

#1---> let the number you are trying to find be x for the following questions

30%*x=15
x=15/30%
x=50

#2
10%*x=14
x=14/10%
x=140

#3
(4/32)*100
is the same as (1/8)*100= 12.5%

#4
1%* x=11
x=11/1%
x=1100

by the way * means multiply

You bought one skirt at $18.27, two shirts at $15.78, and a pair of shoes at $34.50. If the tax rate is 7%, what is the total cost of your purchase?Question 4 options:

$84.23

$90.23

$49.83

$69.00

Jack bought two sweaters for $17.99 and a pair slacks for $25.50. Including a 5 1/2% tax, how much was his total purchase?

Question 5 options:

$64.86

$61.48

$52.99

$28.98

Answers

Answer:

(A) $90.23

(B) $64.86

Step-by-step explanation:

(A) Given, The cost of one skirt = $18.27

The cost of one shirt = $15.78, Then cost of two shirt = 2 × $15.78 =$ 31.56

and The cost of pair of shoes = $34.50

Thus, I have done total purchase of $18.27 + $31.56 + $34.50 = $84.33.

And, paying the tax of 7%

The total cost I spend = $84.33 × (100 + 7)% = $90.23

(B) Given, The cost of one sweater = $17.99, Then cost of two sweater = 2 × $18.27 =$ 35.98

The cost of one slack = $25.50

Thus, I have done total purchase of $35.98 + $25.50 = $61.48.

And, paying the tax of 5.5%

The total cost I spend = $61.48 × (100 + 5.5)% = $64.86

The answers to number 1 &2
1. $90.23
2. $64.86

Hamid has gained weightHe now weighs 88kg, which is 10% higher than his normal weight.

What is Hamid's normal weight?

Answers

If we let x be Hamid's normal weight, 10% of the normal weight can be expressed as 0.10x. The equation that would let us better visualize the problem,
(1.10)x = 88

The value of x from the equation is 80.

Therefore, the answer is 80 kg.

The normal weight of Hamid is 80 kg.

Step-by-step explanation:

Given information:

The current weight of Hamid is 88 kg.

Let , $W$ is the normal weight of hamid.

Now , if he is having 10% extra weight

So,

The value 88 is sum of normal weight and 10% of the normal weight

So,

$W+0.10* W=88\n1.10* W=88\nW=80$

Hence, the normal weight of Hamid is 80 kg.

For more information visit:

brainly.com/question/20029460?referrer=searchResults

Jimmy’s age is one year less than the sum of the ages of his siblings Serena and Tyler. Which equation represents Jimmy’s age?A. look at the picturex represents Tyler’s age, y represents Serena’s age, and z represents Jimmy’s age
B. look at the picturex represents Jimmy’s age, y represents Tyler’s age, and z represents Serena’s age
C. look at the picturex represents Serena’s age, y represents Jimmy’s age, and z represents Tyler’s age
D. look at the picturex represents Jimmy’s age, y represents Serena’s age, and z represents Tyler’s age

Answers

i think it is d because the questions says: j-1+s+t

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