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Strike441 [17]
3 years ago
12

Solve for x What kind of angle Substitute back in

Mathematics
1 answer:
inna [77]3 years ago
8 0
These 2 angles are supplementary so we have
x+ 88 + x + 108 = 180
2x + 196 = 180
2c = -16
x = -8

the 2 angles are  -8+88 and -8+108

that is  80 and 100.
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Help math homework both questions
-Dominant- [34]

Answer:

Q-12 The vertical length of the top part of elevator to ground is 0.8484 meters .

Q -14 The glide runway path is 24,752.47 feet .

Step-by-step explanation:

Q - 12

Given as :

The diagonal length of the elevator = e = 1.2 meters

The vertical length of the top part of elevator to ground = x meters

The angle made by elevator with ground = Ф = 45°

<u>Now, According to figure</u>

Sin angle = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

Or, Sin Ф = \dfrac{\textrm x}{\textrm e}

Or, Sin 45° =  \dfrac{\textrm x meters}{\textrm 1.2 meters}

Or, 0.707 × 1.2 meters = x

∴ x =  0.8484 meters

So, The vertical length of the top part of elevator to ground = x = 0.8484 meters

Hence,The vertical length of the top part of elevator to ground is 0.8484 meters .  Answer

Q-14

Given as:

The altitude of decent of plane = H = 10,000 feet

The angle of descend =  Ф = 22°

Let the glide runway path = y feet

<u>Now, According to question</u>

Tan angle = \dfrac{\textrm perpendicular}{\textrm base}

Or, Tan Ф = \dfrac{\textrm H}{\textrm y}

Or, Tan 22° =  \dfrac{\textrm  10,000 feet}{\textrm y feet}

Or, 0.4040 =  \dfrac{\textrm  10,000 feet}{\textrm y feet}

Or, y =  \dfrac{\textrm  10,000 feet}{\textrm 0.4040}

∴   y = 24,752.47

So,The glide runway path = y = 24,752.47 feet

Hence, The glide runway path is 24,752.47 feet . Answer

6 0
3 years ago
Jambi can 148 mile bicycle trip to build up stamina for a triathlon competition unfortunately his bicycle chain broke so he fini
Jobisdone [24]

Walking at 3mph he wouldve walked 15 miles in 5 hours, leaving 133 miles on bike.

133/41=3.24390244hours on the bike

5 0
3 years ago
I need Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
quester [9]

9514 1404 393

Answer:

  • 150.72 cm³
  • 314 cm³
  • 160 cm³
  • 48 cm³

Step-by-step explanation:

Put the given numbers in the relevant formula and do the arithmetic.

<u>right cylinder</u>

   V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³

<u>cone</u>

  V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³

<u>pyramid of unknown shape</u>

  V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³

<u>square pyramid</u>

  V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³

5 0
3 years ago
What is the slope of a line perpendicular o the line whose equation is y=2x+5?
tangare [24]
Rise over run so it would be 5 over -2.5 ?? I could be wrong:((
6 0
3 years ago
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(15 points) make a table and graph the function <br> y = x + 3
DaniilM [7]
Its the second to last picture where
-1 = 2
0 = 3
1 = 4
8 0
4 years ago
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