All categories

2 years ago

Find the length of side s to the nearest tenth.

Mathematics

1 answer:

bulgar [2K]2 years ago

5 0

Answer:

10.3

Step-by-step explanation:

The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.

The angle at T is ...

180° - 119° -36° = 25°

The law of sines tells us side s will be ...

s/sin(S) = t/sin(T)

s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)

s ≈ 10.34763

s ≈ 10.3

<em>Additional comment</em>

u/sinU = t/sin(T)

u = sin(36°)×5/sin(25°) ≈ 6.95409

You might be interested in

Section 5.2 Problem 17:

Elina [12.6K]

This DE has characteristic equation

$4r^2 - 12r + 9r = (2r - 3)^2 = 0$

with a repeated root at r = 3/2. Then the characteristic solution is

$y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}$

which has derivative

${y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}$

Use the given initial conditions to solve for the constants:

$y(0) = 3 \implies 3 = C_1$

$y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2$

and so the particular solution to the IVP is

$\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}$

8 0

2 years ago

Write an equation (any form) for the quadratic graphed below. Y=

Licemer1 [7]

Answer:

y = -2x^2 - 4x - 1

Step-by-step explanation:

We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).

Let's solve

ax^2 + bx + c = y

a(-2)^2 + b(-2) + c = -1

4a - 2b + c = -1

a(-1)^2 + b(-1) + c = 1

a - b + c = 1

a0^2 + b0 + c = -1

c = -1

we got c = -1 so we input it into the other 2

4a - 2b - 1 = -1

4a - 2b = 0

2a - b = 0

2a = b

a - b - 1 = 1

a - b = 2

a = b + 2

Let's input b = 2a

a = 2a + 2

-a = 2

a = -2

b = 2a = 2*(-2) = -4

c = -1

y = -2x^2 - 4x - 1

4 0

3 years ago

the probability of a radar station detecting an enemy plane is 62%. if 50 stations are in use what is the probability of exactly

podryga [215]

This is binomial probability with n=50 and p=0.62.

We want binom(50,0.62,35).

One way to calculate this is to use a calculator with statistical functions.

My TI-83 Plus turned out the result 0.061.

7 0

3 years ago

It is given that a+b=6 and ab=7. Find the value of a^2 + b^2.

n200080 [17]

Use the identity:-

a^2 + b^2 = (a + b)^2 - 2ab

Plugging in the given values;-

a^2 + b^2 = 6^2 - 2*7 = 36-14 = 22 Answer

4 0

3 years ago

19 cm 15 cm triangle and I don’t know the other side

Kipish [7]

Answer:

well it looks equal to 15 cm so its probably 15 cm

Give brainliest :)

8 0

2 years ago