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3 years ago

How do I solve this

Mathematics

1 answer:

Oxana [17]3 years ago

5 0

9514 1404 393

Answer:

h ≈ 448.0 m

Step-by-step explanation:

The relevant trig function is the one that relates adjacent side length, opposite side length, and angle:

Tan = Opposite/Adjacent

Solving for the adjacent side length, we get ...

Adjacent = Opposite/Tan

For the two angles given, we want the value of the difference of the adjacent side lengths:

168 m = h/tan(41.2°) -h/tan(52.5°)

Then h is found by dividing by its coefficient:

h = (168 m)/(1/tan(41.2°) -1/tan(52.5°))

h ≈ 448.0 m

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Frank made a New Years resolution to get into better shape. He decides to join LA fitness. He has to pay a one-time enrollment f

professor190 [17]

Answer: an equation that represents the total costs of the gym membership based on the number of months is

y = 25x + 50

Step-by-step explanation:

Let x represent the number of months that Frank makes use of the gym at LA fitness in order to get better in shape.

Let y represent the total cost of using the gym for x months.

He has to pay a one-time enrollment fee of $50 and then membership costs $25 per month. This means that the total cist for x month would be

y = 25x + 50

8 0

3 years ago

8 cm

djyliett [7]

Answer:

Step-by-step explanation:

A = (3.14)(8)2

= 200.96

3 0

3 years ago

What is the answer to y=1/2x=2=x-1

Alborosie

Answer:

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4 0

3 years ago

An object has a weight of 6.4 N.

Kazeer [188]

Answer:

Step-by-step explanation:

We can do this quite simply by using Newton's equation: forcegravity = G × M × mseparation2 .

Suppose: your mass, m, is 60 kilogram; the mass of your colleague, M, is 70 kg; your centre-to-centre separation, r, is 1 m; and G is 6.67 × 10 -11 newton square metre kilogram-2.

8 0

3 years ago

Look at this cylinder:

Sedbober [7]

Height=h=8cm
Radius=r=4cm

We know

$\boxed{\sf \star TSA_{(Cylinder)}=2\pi r(h+r)}$

$\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=2\times \dfrac{22}{7}\times 4(8+4)$

$\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{176}{7}(12)$

$\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{2112}{7}$

$\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=301.7cm^2$

Now

New Radius=2(4)=8cm
New Height=2(8)=16cm

$\\ \sf\longmapsto TSA_{(New\:Cylinder)}=2\times \dfrac{22}{7}\times 8(16+8)$

$\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{352}{7}(24)$

$\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{8448}{7}$

$\\ \sf\longmapsto TSA_{(New\:Cylinder)}=1204.7cm^2$

$\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{1204.7}{301.7}$

$\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{4}{1}$

$\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cylinder)}}:{TSA_{(Old\:Cylinder)}}=4:1}}}$

Hence our correct option is Option C

6 0

3 years ago

How do I solve this ​

How do I solve this