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3 years ago

Please help!! ASAP!!

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

26. t<-70 see description below.

Step-by-step explanation:

To solve an inequality in one variable, solve using inverse operations like any other equations. However, if dividing or multiplying by a negative at any points, flip the sign of the inequality.

Example:

$\frac{t}{-7}>10\\\\ -7*\frac{t}{-7} >10*-7\\\\t$

-7 was multiplied to as an inverse operation to division by -7. Because it was negative, the inequality sign was flipped. To graph, plot -70 on the number line with an open circle. Then draw an arrow from -70 to the left.

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8 0

3 years ago

ASAP!!! I NEED HELP geometry/trigonometry please

777dan777 [17]

Answer:

Perpendicular = Y = 34.64 ft (Approx)

Base = X = 20 ft

Step-by-step explanation:

Given:

θ = 60°

Hypotenuse = 40 ft

Perpendicular = Y

Base = X

Find:

X and Y

Computation:

Sinθ = Perpendicular / Hypotenuse

Sin 60 = Y / 40

Perpendicular = Y = 34.64 ft (Approx)

Cosθ = base / Hypotenuse

cos 60 = X / 40

Base = X = 20 ft

6 0

2 years ago

Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

2 years ago

Help please! show work thanks

Andre45 [30]

Answers
b = 2.77 m
A = 43.0°
C = 111.1°

cosine law to find b

$b^2 = a^2 + c^2 -2ac \cos B \\ \\
b = \sqrt{a^2 + c^2 -2ac \cos B} \\ \\
b = \sqrt{4.33^2 + 5.92^2 - 2(4.33)(5.92) \cos 25.9} \\
b = 2.7708\ m$

b = 2.7708\ m

Find angle A with sine law

$\displaystyle
\frac{\sin A}{a} = \frac{\sin B}{b} \\ \\
\sin A = \frac{a \sin B}{b} \\ \\
A = \sin^{-1} \left[ \frac{a \sin B}{b} \right] \\ \\
A = \sin^{-1} \left[ \frac{4.33 \sin 25.9}{2.7708} \right] \\ \\
A = 43.0467020$

Find C with angles in triangle sum to 180

A + B + C = 180
C = 180 - A - B
C = 180 - 43.0467020 - 25.9
C = 111.1

6 0

3 years ago

Komok [63]

Answer:

The other two angles are 75° and 125°.

Step-by-step explanation:

Let three angles are 2x, 3x and 5x.

The smallest angle is 50.

It means,

2x = 50

x = 25

So,

3x = 3(25) = 75°

5x = 5(25) = 125°

So, the other two angles are 75° and 125°.

5 0

3 years ago