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
weeeeeb [17]
3 years ago
5

Solve for a. Please help!

Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0

Answer:

a = 7

Step-by-step explanation:

This is a special trig triangles. Special trig triangles are identified by their angle measures and their sides have a unique relationship. This is a 30 - 60 - 90 triangle which has sides 1 - √3 - 2 or multiples of this. This means all 30 - 60 - 90 triangles have side lengths with the pattern 1 - √3 - 2. Here the triangle has a - 7√√3 - 14. The value of a is 7 since 7*√3 = 7√3 and 2*7 = 14.

You might be interested in
Write the exact value of the side length of each square. If the value is not a whole number, estimate the length.
Savatey [412]

Given:

The area of the squares are given.

To find:

The exact side length or estimate side length of the square.

Solution:

We know that, the area of a square is

A=a^2

Where, a is the side length of the square.

a=\sqrt{A}

Area of the square is 100 square units. So, the side length is:

a=\sqrt{100}

a=10

Therefore, the side length is 10 units.

Area of the square is 95 square units. So, the side length is:

a=\sqrt{95}

It is not exact. We know that \sqrt{81}.

Therefore, the side length is between 9 and 10.

Area of the square is 36 square units. So, the side length is:

a=\sqrt{36}

a=6

Therefore, the side length is 6 units.

Area of the square is 30 square units. So, the side length is:

a=\sqrt{30}

It is not exact. We know that \sqrt{25}.

Therefore, the side length is between 5 and 6.

8 0
3 years ago
Douring a recent snowstorm, John measured the total snowfall accumulated at the end of each hour. He recorded his results in the
disa [49]
The average is approximately 3 inches an hour
7 0
3 years ago
Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0?
lidiya [134]

Answer:

Option 1 is correct.

Step-by-step explanation:

Given the equation (x + 5)^2 + 4(x + 5) + 12 = 0

we have to choose the best statement describes the above equation.

(x + 5)^2 + 4(x + 5) + 12 = 0  →  (1)

As, the highest degree of its monomials i.e individual terms with non-zero coefficients is 2.

⇒ Degree of above equation is 2.

hence, the given equation is quadratic equation.

The general form of quadratic equation is

ax^2+bx+c

In variable u: u^2+u+c=0  →  (2)

Now, compare equation (1) with (2), we say that

The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).

Option 1 is correct.

6 0
3 years ago
Read 2 more answers
FIND THE DOMAIN AND RANGE!!!!
Rina8888 [55]
For the domain, you would find that all the numbers that go across in the x axis. In this case -3 is less than or equal to x which is less than or equal to 4. Same with the range, different numbers. -3 is less than or equal to y which is less than or equal to 2. Hope this helped!
7 0
2 years ago
Y is the midpoint of segment XZ. The coordinates of X are (2, 4) and of Y are (-1, 1). Find the coordinates of Z. ...?
Elenna [48]
Given x(x1,y1)=(2,4)
          z(x2,y2)=(x2,y2)
         midpoint (x,y)=(-1,1)
2+x2/2=-1;4+y2/2=1
2+x2=-2;4+y2=2
x2=-4;y2=-2
z(x2,y2)=(-4,-2)
7 0
3 years ago
Read 2 more answers
Other questions:
  • nate's quiche is cut into 7 equal parts. only 3/7 is left. he wants to give 3 of his friends equal part. write 3/7 as the sum of
    10·2 answers
  • If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).<br> 23<br> 47<br> 82<br> 90
    12·1 answer
  • The vote count for candidate A was 7,310. The vote count for candidate B was 14,190. Only two candidates were running. what was
    15·1 answer
  • At a craft festival tuan spend $12 for food $19.50 for a small painting and $6 for a straw hat tuan had left $4 how much did tua
    10·1 answer
  • Use the diagram of a sphere inscribed in a cylinder to describe the relationship between the volume of a
    9·2 answers
  • What’s the midpoint between points (-2,5) and (6,-9)
    8·1 answer
  • Solve this system of equations<br> 3x+4y=36<br> y= -1/2x+8<br><br> x=<br> y=
    12·1 answer
  • I need help ASAP!!
    6·1 answer
  • Solve the simultaneous equations 2x + y = 5 and 2y = x – 10.
    10·2 answers
  • Q#7: Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2) Make sure you round you answer to the nearest whole number.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!