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vaieri [72.5K]
1 year ago
12

From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's

Mathematics
1 answer:
Masja [62]1 year ago
4 0

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem:

  • The vertical change is x.
  • The horizontal change is of 602 ft.
  • The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

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A right rectangle prism is 6 cm by 14 cm by 5 cm what is the surface area of the right prism
NeX [460]

Answer:

\large\boxed{S.A.=368\ cm^2}

Step-by-step explanation:

The formula of a surface area of a rectagular prism:

S.A.=2(lw+lh+wh)

l - length

w - width

h - height

We have the dimensions 6cm × 14cm × 5cm. Substitute:

S.A.=2(6\cdot14+6\cdot5+14\cdot5)=2(84+30+70)=2(184)=368\ cm^2

8 0
3 years ago
A particle moves with velocity function v(t) = 2t^2 - 3t - 3, with v measured in feet per second and t measured in seconds. Find
SashulF [63]
V(t) = 2t^2 - 3t - 3

for an acceleration a(t),
a(t) = d (v(t)) / d t
a(t) = 4t - 3

at t=2
a(2) = 8 - 3
a(2) = 5 feet/s^2

3 0
3 years ago
Mark earned $240 in the first week and earns $680 in the fifth week. How much will he earn in the 20th week (suppose his earning
Irina18 [472]

Answer:

$ 2330

Step-by-step explanation:

a = $240

Earning at the end of fifth week = $ 680

increase in earnings per weak = ( 680 -240)/2     = 440/2 =110

d =110

l = a + (n-1)d

a20 = 240 + (19 * 110 ) = 240 + 2090 =   2330

6 0
3 years ago
Read 2 more answers
Line l has a slope of 98. The line through which of the following pair of points is perpendicular to l?
zysi [14]

m =( Y2 - Y1)/ (X2-X1)

m =( 3-(-5))/ (-6-3)

m = - 8/9

I am assuming you meant a slope of 9/8 in your original question, so the points perpendicular to I are answer D.


Perpendicular means the slope is opposite reciprocal of your first slope given.



8 0
3 years ago
Marta invested $5, 425 in the stock market and earned 8.5% interest. How much money will Marta have in her account after one yea
Semenov [28]

Answer:

Future Value= $5,886.13

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,425

Number of periods (n)= 1 year

Interest rate (i)= 8.5% = 0.085

<u>To calculate the future value after one year, we need to use the following formula:</u>

<u></u>

FV= PV*(1+i)^n

FV= 5,425*(1.085^1)

FV= $5,886.13

6 0
3 years ago
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