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
Fofino [41]
3 years ago
11

Can someone help me with this question please !

Mathematics
2 answers:
RoseWind [281]3 years ago
3 0

Answer:

a) A triangle which the angles ratio is 1 : 2 : 3 is a 30º - 60º - 90º right triangle.

b) The shortest side is opposite to the shortest angle. So, we can calculate it using sin 30º.

$\text{sin}(30\º)=\frac{\text{Opposite side to x}}{19} $

$\frac{1}{2} =\frac{\text{Opposite side to x}}{19} $

$\text{Opposite side to x}= 9.5$

AveGali [126]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide 180° ( sum of angles in a triangle ) by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio, thus

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Thus the triangle is right

-----------------------------------------

(b)

The sides of a 90°- 60°- 30° triangle are in the ratio

2 - \sqrt{3} - 1 ( where 2 represents the hypotenuse )

Thus the other 2 sides of the triangle are

19 ÷ 2 = 9.5 , and

9.5 × \sqrt{3} ≈ 16.45

The shortest side is 9.5

You might be interested in
A season ticket to the olde theater costs $76 and admits you to 6 plays. single tickets to each play cost $15. how much do you s
Maksim231197 [3]

Answer:

14

Step-by-step explanation:

6×15=90 90-76=14 you save 14 dollars

4 0
3 years ago
Find the x-intercepts of the parabola with vertex (-4,2) and y-intercept (0,-30). Write your answer in this form: (x1, y1),(x2,
Ainat [17]
Vertex form of a parabola 
<span>y = a (x - h)^2 + k </span>

<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get, 

<span>y = a(x + 4)^2 + 2 </span>

<span>substituting in the point (0, -30) for  x and  y
</span><span>-30 = a (0 + 4)^2 + 2 

</span>solve for a,

<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>

<span>y = -2(x + 4)^2 + 2 </span>

<span>Put y = 0 </span>

<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>

<span>x = -3
x = -5</span>
3 0
3 years ago
What is the simplest form of 8/28?
Marizza181 [45]
2/7 because both 8 and 28 are divisible by 4
5 0
2 years ago
Read 2 more answers
Is the following definition of perpendicular reversible? Two lines that intersect at right angles are perpendicular.
lutik1710 [3]
If I remember correctly perpendicular means right angle so I do not think it could be reversed.
7 0
3 years ago
4x+6&lt;-6 how to solve
Salsk061 [2.6K]

Answer:

The answer is below.

Step-by-step explanation:

4x<-6-6

4x<-12

x= -3

Inequality form:

x< -3

Interval Notion:

(-8,-3)

Note: Turn the -8 on the sideways on the right, because its not 8.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Martha Jones received a $540 discount loan to purchase a new sewing machine. The loan was offered at 12.5% for 90 days. Find the
    13·2 answers
  • If four times a whole number is subtracted from three times the square of the number, the result 15 is obtained. Find the number
    12·1 answer
  • Use cylindrical coordinates. Evaluate 9x(x2 + y2) dV, where E is the solid in the first octant that lies beneath the paraboloid
    11·1 answer
  • Write an expression that represents the value, in cents, if n nickels.
    6·1 answer
  • Determine whether the lines l1 and l2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-4 + 3t
    13·1 answer
  • On hiking trip,Lavinia notices that she hikes about 12 kilometers every 4 hours. If she continues at this rate,use a ratio table
    15·1 answer
  • Find the trangular prisms surface area
    6·2 answers
  • Please help me im on my sisters acc
    7·1 answer
  • Here you go. 29-28+28+11-11=?
    14·2 answers
  • (45x + 52y) + (-5x + 40y) <br> A.50x + 92y<br> B.40x + 92y<br> C.40x + 12y<br> D.50x + 12y
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!