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3 years ago

What is the value of y?

Mathematics

2 answers:

Ket [755]3 years ago

8 0

I would guess it would be letter B. Let me know if I’m right.

Arisa [49]3 years ago

5 0

the answer is 108°

mark brainliest plssss

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A spherical balloon has a -in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the b

4vir4ik [10]

$\frac{256}{3} Pi$

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3 years ago

If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

castortr0y [4]

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\\\\=(3x+2)(2x-1)\\\\3x+2=0\to x=-\frac{2}{3}\\\\2x-1=0\to x=\frac{1}{2}\\\\\alpha=-\frac{2}{3};\ \beta=\frac{1}{2}\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{-\frac{2}{3}}{\frac{1}{2}}+\frac{\frac{1}{2}}{-\frac{2}{3}}=-\frac{2}{3}\cdot\frac{2}{1}-\frac{1}{2}\cdot\frac{3}{2}=-\frac{4}{3}-\frac{3}{4}\\\\=-\frac{16}{12}-\frac{9}{12}=-\frac{25}{12}=-2\frac{1}{12}$

$use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2$

$6x^2+x-2\\\\a=6;\ b=1;\ c=-2\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{1^2}{6\cdot(-2)}-2=\frac{1}{-12}-2=-2\frac{1}{12}$

7 0

3 years ago

Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali

VLD [36.1K]

Answer:

$x=35^\circ$

Step-by-step explanation:

From the diagram which I have drawn and attached below:

$56^\circ+y+51^\circ=180^\circ$ (Sum of Angles on a Straight Line)\\y=180^\circ-(56^\circ+51^\circ)\\y=73^\circ$

Next, in the triangle, the sum of the three interior angles:

$y+x+72^\circ=180^\circ\\$Since y=73^\circ\\73^\circ+x+72^\circ=180^\circ\\x=180^\circ-(73^\circ+72^\circ)\\x=35^\circ$

The value of angle x is 35 degrees.

7 0

3 years ago

Please show work and be done soon

stich3 [128]

9514 1404 393

Answer:

x = 22.5°

Step-by-step explanation:

Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...

4x +4x = 180°

x = 22.5° . . . . . . divide by 8

_____

BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.

8 0

3 years ago

Carlos buys a vintage automobile for $7300. He estimates that the value will increase by 3% every year. Estimate the value of th

lakkis [162]

Answer:

$9810.59

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Simple Interest Rate Formula: $\displaystyle A = P(1 + r)^t$

P is principle amount
r is rate
t is time (in years)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 7300

r = 3% = 0.03

t = 10

Step 2: Solve for A

Substitute in variables [Simple Interest Rate Formula]: $\displaystyle A = 7300(1 + 0.03)^{10}$
(Parenthesis) Add: $\displaystyle A = 7300(1.03)^{10}$
Evaluate exponents: $\displaystyle A = 7300(1.34392)$
Multiply: $\displaystyle A = 9810.59$

7 0

3 years ago