Mathematics, 29.07.2019 05:00 medusa36

In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.? 112√ in. 211−−√ in. 11−−√ in. 1111−−√ in what is the exact value of sin 45° ? enter your answer, as a simplified fraction, in the box. $$ what is the area of a regular hexagon with a side length of 4 m? enter your answer in the box. round only your final answer to the nearest hundredth. m² in a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm? enter your answer in the box. cm

Answers: 1

Show answers

Answers

Part A)In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

we know that
cos 45°=√2/2
[he length of the hypotenuse]=11/cos 45> 11/(√2/2)> (11*2)/√2
=22/√2> 11√2 in

the answer Part A) is 11√2 in

Part B) What is the exact value of sin 45° ?

we know that
sin 45°=11/(11√2)> 1/√2> (1/√2)*(√2/√2)> √2/2
the answer part b) is √2/2

Part C)
What is the area of a regular hexagon with a side length of 4 m?

we know that

In case of a regular hexagon each of the six triangles that are formed by connecting its center with all six vertices is an equilateral triangle with a side equaled to 4 m.
The area of this hexagon is six times greater than the area of such a triangle

In an equilateral triangle with a side d
the altitude h can be calculate from the Pythagorean Theorem as
h²=d²−(d/2)²=(3/4)d²
Therefore,
h=d√3/2

Area of such a triangle is
A=d*h/2> d²*√3/4
From this the area of the regular hexagon with a side d is
S=6*A> d²3√3/2
for d=4 m
S=4²3√3/2> 24√3 m²> 41.57 m²

the answer Part C) is 41.57 m²

Part D) In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
[he length of the hypotenuse]=5/sin 30> 5/(1/2)> 10 cm

the answer part D) is 10 cm

Answer from: Quest

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.

Answer from: Quest

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

Another question on Mathematics

Mathematics, 21.06.2019 18:30

The monetary value earned for selling goods or services to customers is called a.) revenue b.) assets c.) money d.) accounting

Answers: 2

Answer

Mathematics, 22.06.2019 00:00

Round each decimal to the nearest thousandth. a. 5.39562 b. 0.12345 c. 5634 d. 18.93763

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

Which image (a’ b’ c’ d’) of abcd cannot he produced using only reflections ?

Answers: 1

Answer

Mathematics, 22.06.2019 01:50

Quadrilateral ghij has coordinates g(5, 1), h(4, -3), i(6, -1), and j(2, 1). if the quadrilateral is reflected over the line y = x, what are the coordinates of h'?

Answers: 1

Answer

You know the right answer?

In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 1...

Questions

Mathematics, 25.06.2019 07:30

Answer needed asap ! andre received $60 for his birthday and put it in his piggy bank. each week, he puts 3 more dollars in his bank. the amount of m...