1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Viktor [21]
3 years ago
5

What is the value of x

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(30°) = 5/x

Solving for x, we get ...

  x = 5/sin(30) = 5/0.5

  x = 10

_____

It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...

  1 : √3 : 2

That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.

You might be interested in
5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat
frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

<u />

<u />

<u />

6 0
3 years ago
Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R
Mrac [35]

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5           exactly

The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

6 0
3 years ago
A new sidewalk will be 5 feet​ wide, 100 feet​ long, and filled to a depth of 3 inches ​(0.25 ​foot) with concrete. How many cub
GarryVolchara [31]

Answer:

4.63 cubic yard.

Step-by-step explanation:

Given,

The length of sidewalk, l = 100 feet,

Width, w = 5 feet,

Depth, h = 3 inches = 0.25 feet,

Thus, the volume of the concrete needed for making the sidewalk,

V=l\times w\times h

=100\times 5\times 0.25

= 125 cubic feet,

∵ 1 cubic yard = 27 cubic feet,

⇒ 1 cubic feet = \frac{1}{27} cubic yard,

Thus, the quantity of concrete needed = \frac{125}{27} ≈ 4.63 cubic yard.

4 0
3 years ago
Need help ace<br><br> help pls
Alexandra [31]

Answer:

Hello I am an ace! answer: 8

Step-by-step explanation:

Volume for a cube is just length × width × height so you only need to know 1 for a cube because they will all be the same number so 8 is the answer because 8 × 8 × 8 = 512 Hope this helps!

8 0
3 years ago
HELP WILL MARK BRAINLIEST 20 POINTS!!
Vinil7 [7]
8/8 I’m pretty that what is it
8 0
3 years ago
Other questions:
  • On the first day camping, a group hiked at a rate of 2 1/4 miles per hour for 2 1/2 hours before taking a break. How many miles
    7·2 answers
  • Which pair is a vertical angle
    11·1 answer
  • Need help with questions 5 and 6
    10·1 answer
  • Write a two digit number greater than 40 that is divisible by 2 and 3​
    6·2 answers
  • Y=10x+100 what is the independent and dependent variable in this equation
    7·1 answer
  • Photos attached, please help. Brainliest will be given.
    12·2 answers
  • Can FLVS see what website i copy and pasted from?
    12·1 answer
  • 2x + 2x + 5x + 5x= please answer quick it's very hard and I like the game to answer please and thank you.
    7·1 answer
  • find the volume of a rectangular prism if the length is 3x^2, the width is 2xand the height is x^2+3x+5
    8·1 answer
  • The point P = (x, - 2/7) lies on the unit circle shown below. What is the value of x in simplest form?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!