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
REY [17]
3 years ago
8

5. What is the value of x?

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

5\sqrt{3}

Step-by-step explanation:

in a 30-60-90 triangle the ratio of sides, respectively, is 1 : \sqrt{3} : 2

you can set up a proportion like this to solve for 'x':

\sqrt{3} / 1 = 15 / x

cross-multiply:

\sqrt{3}x = 15

x = 15/\sqrt{3}

rationalize the denominator by multiply top and bottom by \sqrt{3}

you get 15\sqrt{3} ÷ 3 which is 5\sqrt{3}

You might be interested in
Kenji packed an exercise ball into a cylindrical package. The inflatable exercise ball is made out of vinyl. How much vinyl was
Fofino [41]
An exercise ball, also known as a yoga ball, is a ball constructed of soft elastic with a diameter of approximately 35 to 85 centimeters (14 to 34 inches) and filled with air. The air pressure is changed by removing a valve stem and either filling with air or letting the ball deflate. It is most often used in physical therapy, athletic training and exercise. It can also be used for weight training. The ball, while often referred to as a Swiss ball, is also known by a number of different names, including balance ball, birth ball, body ball, ball, fitness ball, gym ball, gymnastic ball, physio ball, pilates ball, naval mine, Pezzi ball, stability ball, Swedish ball, or therapy ball.
8 0
3 years ago
Please help and show work
satela [25.4K]
It would be 7 × 14... 98$ is what she would have in 2 weeks... brainly would be great
7 0
3 years ago
I need help with these 2 questions.
ahrayia [7]

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                              = \frac{1}{2}\times 4\times 3

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

7 0
2 years ago
Quadrilateral QRST is a square. If the measure of angle RQS is 5x – 15. Find the value of x.
rodikova [14]

angle of RQS = 45 degrees so

5X-15 = 45

5x=60

x = 12

6 0
3 years ago
Read 2 more answers
Helppppppppppppppppp pllllzzzzz<br> a<br> b<br> c
anastassius [24]
B I’m guessing, never really worked with something like this before though
3 0
3 years ago
Read 2 more answers
Other questions:
  • King kyle orders the construction of his future mausoleum ( a fancy tomb) so that people never forget his awesomeness. His archi
    15·1 answer
  • What is the value of cosθ given that (−2, 9) is a point on the terminal side of θ ? 985√85
    7·2 answers
  • How would you solve for the length of the remaining side?
    11·2 answers
  • Y + 4 = x - 3<br> how do I graph this??
    11·1 answer
  • What is the volume of a hemisphere with a radius of 60.7 m, rounded to the nearest tenth of a cubic meter?
    11·2 answers
  • if anybody could do this for me it’ll be greatly appreciated also whoever does it first gets brainliest
    10·1 answer
  • Write an algebraic expression
    6·2 answers
  • Cindy owns a rectangular lot that is 18 yards long and 45 feet wide.
    11·2 answers
  • A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for
    12·1 answer
  • Find the quotient. Express your answer as a simplified fraction. 3/10 divided by 3.8
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!