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
natali 33 [55]
3 years ago
13

MATH HELP PLEASE WILL GIVE BRAINLIEST

Mathematics
1 answer:
Anni [7]3 years ago
8 0
1. 10
2. 5√2 in
1. The ratio for a 30-60-90 triangle is  x:x√3:2x 
x is the shortest leg  so 2*x =2*5 = 10
2. the ratio of a 45-45-90 triangle is x:x:x√2
x is one leg  so x * √2 = 5*√2 = 5√2
You might be interested in
A chocolate chip cool recipe asks for one and one half times as much flour as chocolate chips. If there and three quarters cups
mars1129 [50]

Answer:

1.5 quarters of chocolate

Step-by-step explanation:

5 0
3 years ago
An equilateral triangle has a side length of 6. What is the height of the triangle?
vlabodo [156]
Since the height of an equilateral triangle in terms of its side s is s√3/2, the height of the triangle is 6√3/2 = 3√3 and so the area is (1/2)(6)(3√3) = 9√3. 

<span>If we draw a horizontal line a height of h from the base of the triangle, the region is split into two regions: the lower region consisting of a trapezoid of height h and the upper region consisting of a triangle of height 3√3 - h. </span>

<span>Since the upper triangle and the triangle itself are similar triangles, the base and height are proportional. If we let x denote the base of the length of the upper triangle, we have: </span>

<span>(S. of small triangle)/(S. of big triangle) = (Ht. of small triangle)/(Ht. of big triangle) </span>
<span>==> x/6 = (3√3 - h)/(3√3) </span>
<span>==> x = (6√3 - 2h)/√3 </span>

<span>Thus, the area of the upper triangle is: </span>

<span>A = (1/2)[(6√3 - 2h)/√3](3√3 - h) = [(6√3 - 2h)(3√3 - h)]/(2√3). </span>
<span>(Made a dumb mistake about the height here for some reason) </span>

<span>Since we require that the area of this triangle is to be half of the total area (9√3/2), we need to solve: </span>

<span>[(6√3 - 2h)(3√3 - h)]/(2√3) = 9√3/2 </span>
<span>==> (6√3 - 2h)(3√3 - h) = 27 </span>
<span>==> 54 - 6h√3 - 6h√3 + 2h^2 = 27 </span>
<span>==> 2h^2 - 12h√3 + 27 = 0. </span>

<span>Solving with the Quadratic Formula gives: </span>

<span>h = (6√3 + 3√6)/2 ≈ 8.87 units and h = (6√3 - 3√6)/2 ≈ 1.52 units. </span>

<span>Since h = (6√3 + 3√6)/2 would place the line outside of the triangle, we pick h = (6√3 - 3√6)/2. </span>

<span>Therefore, the line should be ==> (6√3 - 3√6)/2 units from the base. </span>

<span>I hope this helps! ^^ Brainliest Please?</span><span>
</span>
5 0
3 years ago
Read 2 more answers
15 - 4x = -9x + 75
algol13

Answer:

x=12

Step-by-step explanation:

8 0
2 years ago
What is the vertex of the quadratic function f(x)=x2+6x+16? Write your answer
Olenka [21]

Answer:

The vertex of the quadratic function is:

(x_{v}, y_{v})=\left(-3,\:7\right)

Step-by-step explanation:

Given the function

f\left(x\right)=x^2+6x+16

As the vertex of the form y=ax^2+bx+c is defined as:

x_v=-\frac{b}{2a}

As the quadratic function of parabola params are

a=1,\:b=6,\:c=16

so

x_v=-\frac{b}{2a}

x_v=-\frac{6}{2\cdot \:1}

x_v=-3

Putting x_v=-3 to determine y_v

y_v=\left(-3\right)^2+6\left(-3\right)+16

y_v=3^2-18+16

y_v=9-2

y_v=7

Therefore, the vertex of the quadratic function is:

(x_{v}, y_{v})=\left(-3,\:7\right)

5 0
3 years ago
What is the answer to the question 3x+5x
Elodia [21]

Step-by-step explanation:

3x+5x

8x

3x and 5x are same term because they have same bases so they can be added as above .

7 0
3 years ago
Other questions:
  • So if there is 575 students and 20% lile salad how many students is it?​
    6·1 answer
  • I don’t understand!! Please someone help ASAP !
    14·1 answer
  • I NEED HELP ASAP<br> HELP ME NOW
    8·1 answer
  • How many solutions does the system of equations have 2x = -10y + 6 and x + 5y = 3
    10·1 answer
  • Combining like terms <br><br> simplify the expression <br> -6k + 7k
    6·2 answers
  • I need some help lol
    14·1 answer
  • What is the answer to y=x+2
    11·1 answer
  • I need help! Thanks!
    8·1 answer
  • - Quizizz Dadd_independent_clause_to_dep x G Name three other types of Art be X + VkX19Pjt7jkF9Lgzkpo1vCxXlt%252FD6C7FXFgE5X8Fe6
    11·1 answer
  • Whats x^2=1? I dunno it
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!