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
solmaris [256]
2 years ago
15

To find the measure of ∠A in ∆ABC, use the___(Pythagorean Theorem, Law of Sines, Law of Cosines). To find the length of side HI

in ∆HIG, use the____(Pythagorean Theorem, Law of Sines, Law of Cosines) .

Mathematics
2 answers:
nadya68 [22]2 years ago
3 0

<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use

we know that

In the triangle ABC

Applying the law of sines

\frac{a}{sin\ A}=\frac{b}{sin\ B}=\frac{c}{sin\ C}

in this problem we have

\frac{a}{sin\ A}=\frac{b}{sin\ theta}\\ \\a*sin\ theta=b*sin\ A\\ \\ sin\ A=\frac{a*sin\ theta}{b} \\ \\ A=arc\ sin (\frac{a*sin\ theta}{b})

therefore

<u>the answer  Part 1) is</u>

Law of Sines

<u>Part 2) </u>To find the length of side HI in ∆HIG, use

we know that

In the triangle HIG

Applying the law of cosines

g^{2}=h^{2}+i^{2}-2*h*i*cos\ G

In this problem we have

g=HI

G=angle Beta

substitute

HI^{2}=h^{2}+i^{2}-2*h*i*cos\ Beta

HI=\sqrt{h^{2}+i^{2}-2*h*i*cos\ Beta}

therefore

<u>the answer Part 2) is</u>

Law of Cosines

Elden [556K]2 years ago
3 0

Answer:

I found this on brainly, it is the answer with step by step instructions ☺️:

brainly.com/question/3482956?utm_source=android&utm_medium=share&utm_campaign=question

You might be interested in
F(x) x^2-2x+3= -2x+ 28
Aleksandr-060686 [28]

Answer:

x₁ = - 5, x₂ = 5

Step-by-step explanation:

x^2 + 3 = 28

x^2 = 28 - 3

x^2 = 25

x = ± 5

x = - 5

x = 5

6 0
2 years ago
Y=-x^2+6x-4<br> Find the Axis of Symmetry and the Vertex, Also solve the whole equation.
Inessa [10]

Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

               x=-b/2a

Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

Thus, the axis of symmetry is:

            x=3

<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

<u>4. Find the x-intercepts</u>

The x-intercepts are the roots of the equation, which are the points wher y = 0.

        y=-x^2+6x-4=0

Use the quadratic equation:

       x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}

<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

7 0
3 years ago
4.23×10 to the third power in standard notation/4.23×10 to the third power equals 4.23 times blank equals blank
vredina [299]

9514 1404 393

Answer:

  4230

Step-by-step explanation:

  4.23×10³ = 4.23×<u>1000</u> = <u>4230</u>

6 0
2 years ago
A line is a defined term in geometry.<br> True<br> False
alexandr402 [8]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the value of 3 in 230,001
Katyanochek1 [597]
30,000
the way you can solve this is by removing all numbers in front of the selected number(in this case, 2 should be removed) then change all numbers behind to 0.
6 0
3 years ago
Other questions:
  • Need help with #12 ASAP. What is the equation of a line that is perpendicular to the line y= -1/2x+7 and passes through the poin
    13·1 answer
  • Twice the sum of a number and 4 is less than 12
    11·1 answer
  • Suppose the population ofthe united states is about 230 million.Is this number closer to ten to the seventh power or ten to the
    9·1 answer
  • NEEDING TO KNOW FAST!
    11·1 answer
  • F y = x2 − 2x, which ordered pair gives the location for one of the points on the graph?
    6·1 answer
  • Whats this answer please ?
    11·1 answer
  • Perimeter, Circumference,
    10·1 answer
  • Write the point-slope form of an equation of the line through the points (6,-1) and (5,7)
    5·1 answer
  • Please help me soon. I'm timed for this question.​
    7·1 answer
  • Which of the following statements is true about wind?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!