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
nikklg [1K]
3 years ago
15

PLEASE HELP ASAP 30 PTS BRAINLIEST

Mathematics
2 answers:
Mashutka [201]3 years ago
8 0

Answer:

17.3 =x

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2 +17^2 = x^2

9+289 = x^2

298 = x^2

Take the square root of each side

sqrt(298) = sqrt(x^2)

17.2626765 = x

Rounding to the nearest tenth

17.3 =x

Mandarinka [93]3 years ago
4 0

Answer:

17.3

Step-by-step explanation:

x² = 3² + 17²

x² = 9 + 289

x² = 298

x = 17.2626765

x = 17.3

You might be interested in
Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(2, −5, 6), C(4, −2, −1), D(3, 4, −4
almond37 [142]

Answer:

Area = 71.3 sq unit

Step-by-step explanation:

a) We will use properties of parallelogram to verify the given vertices.

Property: Have a pair of parallel opposite sides

Hence, vectors AB AD BD BC CD AC. A pair should be parallel:

vectors

AB = A - B = (1, 1 , 3) - ( 2 , -5 , 6 ) = (-1 , 6 , -3)

AD = A - D = (1, 1 , 3) - (3, 4 , -4) = (-2 , -3 , 7)

BC = B - C = (2 , -5 , 6) - (4, -2 , -1) = (-2 ,-3 , 7)

CD = C - D = (4, -2 , -1) - (3, 4 , -4) = (1 , -6 , 3)

Hence we can see  that AB //CD and AD // BC as their unit vector co-efficents are identical/scalar multiple of each other.

b)

Equation of line AB = (1,1,3) + t*(-1 , 6 , -3 )

Point E = (1-t , 1+6t , 3 -3t) ... denotes an position of point E on line AB.

Choose a point on line CD, lets suppose C = ( 4 , -2 , -1 )

Vector EC = ( 1-t , 1+6t , 3-3t ) - (4 , -2 , -1 ) = (-3 -t , 3 +6t , 4 -3t)

For EC to be perpendicular to AB then dot product of AB . EC = 0

Hence,

EC . AB = -1 * (-3-t) -2*(3+6t) -3*(4-3t) = 0

3 + t -6 -12t -12+9t = 0

-2t-3 = 0

t = -3/2

Vector EC = (-3 -t , 3 +6t , 4 -3t) = (-1.5 , -6 , 8.5)

Area = magnitude (AB) * magnitude (EC)

Area = sqrt ((-1)^2 + 6^2 + (-3)^2) * sqrt ((-1.5)^2 + 6^2 + (8.5)^2)

Area = sqrt (46) * sqrt (442) / 2

Area = 71.3 unit^2

6 0
3 years ago
I need help on .5 and .6
Dovator [93]
5. 44 (forty four)
6. 58
8 0
3 years ago
Evaluate the numericial expression (32 - 20) ÷ 4
SashulF [63]

Answer:

3

Step-by-step explanation:

(32-20)÷4

solve perentisis first

(12)÷4

now divide

=3

3 0
2 years ago
Read 2 more answers
5(m+4)=-2(-4-m)+3<br> help please
Degger [83]

Answer:

m = -3

Step-by-step explanation:

5m + 20 = 8 + 2m +3

5m + 20 = 11 +2m

3m + 20 = 11

3m = -9

m = -3

3 0
3 years ago
Abigail says that all the numbers ending 1 are prime. Is Abigail correct or incorrect
patriot [66]
Incorrect.
Go through the numbers and you'll find un-prime numbers ending in 1:
21, 81, 121,...
6 0
3 years ago
Read 2 more answers
Other questions:
  • 4 times a number cubed
    14·1 answer
  • If one point on a horizontal line has the coordinates (10, -3), which of the points below are also on the line? Select all that
    7·1 answer
  • If two squirrels live in one square m of a 50 square m park, what is the park's estimated squirrel population
    9·1 answer
  • What is an equation of the line that passes through 7,3 and a slope of 4/7
    12·1 answer
  • Which of the following is a solution to the equation<br> x2 + 25x = 0
    15·1 answer
  • Someone please help!! find the value of y in this triangle
    6·1 answer
  • What is the image of the point (-1,-3) after a rotation of 90 ∘ counterclockwise about the origin?
    7·1 answer
  • Where can you see where answered questions
    10·2 answers
  • Which of the following sets of ordered pairs is a function?
    11·1 answer
  • Please help with math problem if do 5 star
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!