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
Rudiy27
3 years ago
6

Solve for the variable using Trig ratio.

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(50)° = \frac{x}{6}

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(23)° = \frac{a}{15}

a = 15sin(23)°

a = 5.86

You might be interested in
How to find the value of this expression
nevsk [136]
32 because 64 divided by 2 equals 32
8 0
2 years ago
Read 2 more answers
Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×&lt
brilliants [131]

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

f'(x) = \dfrac{(-x + 2)^4}{dx}  = -4 \cdot (-x + 2)^3 = 0

∴ (-x + 2)³ = 0

x = 2

f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx}  = -12 \cdot (-x + 2)^2

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

5 0
3 years ago
What is 1.44 divided by 0.4
Mashutka [201]
The quotient to 1.44 and 0.4 equals to 3.6
5 0
3 years ago
2. On the spinner below, what is P(multiple of 2)
Ne4ueva [31]
I think the answer  3\8( i do not know if its right or not)
8 0
3 years ago
Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 poin
alekssr [168]

Answer:

<em>The two figures are similar as  the ratio of corresponding distances and slope of corresponding lines are EQUAL.</em>

Step-by-step explanation:

Noting the coordinates of points,

C(-1,6), D(3,4) , E(2,3) , F(3,0), G(1,-2) , A(0,1) , B(-2,2)

J(4.5,3.5), K(6.5,2.5), L(6,2), M(6.5,0.5) , N(5.5,-0.5) , H(5,1) , I(4,1.5)

using the distance formula = \sqrt{(x-x1)^{2} + (y-y1)^{2} }

we find that,

CD=\sqrt{20} and JK=\sqrt{5}

thus, ratio of CD to JK is 2.

Similarly find ratio of DE to KL and so on, the ratio remains same.

Further one can even comment on the slopes of corresponding lines been equal.

Thus the figures turn out to be similiar to each other

7 0
3 years ago
Other questions:
  • The equation below is a vertical line. x = − 10<br><br> true or false?
    5·1 answer
  • Find the missing term (x^12)^5 x (x^-2)^9 x what =(x^40)^5
    14·2 answers
  • What is the standard form for 200000+80000+700+6
    8·1 answer
  • 6=x/4-8 for x what equation do you get after adding 8 to each side
    10·1 answer
  • A worker in the USA is paid $22,000 per year as a gross salary. The worker is asked to reduce her salary to $19,000 per annum. W
    15·1 answer
  • Solve the system using elimination. -2x+6y=18 -4x-6y=18
    8·2 answers
  • In the desk drawer, the ratio of blue pens to all pens is 0.54. write the ratio as a fraction in simplest form
    7·1 answer
  • Help? Please?<br><br> Round the number to the thousandths place "79337.945573"
    15·1 answer
  • consider that angle DEF is similar to angle GHI and the measure of angle E is 58 degrees. What is the measure of angle H?
    10·2 answers
  • 1)A fisheries biologist wants to estimate the average weight of small mouth bass in Gull
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!