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2 years ago

Help pls! Determine the value of angle a

Mathematics

1 answer:

sergey [27]2 years ago

7 0

Answer:

Step-by-step explanation:

AB=√(5²+8²)=√(25+64)=√89

$cos A=8/\sqrt{89} =(8\sqrt{89} )/89$

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The waiters poured 160 eight-ounce glasses of water at the banquet. How many gallons is this? Show your work.

larisa86 [58]

160 * 8 = 1280 ounces. 1280/64 = 20 half gallons 20*1/2= 10 So you have 20 half gallons or 10 gallons.

7 0

3 years ago

Pls help me with math cinda easy

Lorico [155]

Answer:

use a calculator for the answer

7 0

2 years ago

Read 2 more answers

Anybody know the answer?

Gwar [14]

( A u B) would be the combination of both sets.

Since both sets have all distinct numbers, just add the 2 sets together.

4 + 7 = 11

There are 11 elements.

6 0

3 years ago

F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2) I need to factor and find the zeros.

Ratling [72]

Answer:

$\textsf{Factored function}: \quad f(x)=(x+2)(3x-5)(x-1)$

$\textsf{Zeros}: \quad x=-2, \quad x=\dfrac{5}{3},\quad x=1$

Step-by-step explanation:

Given function:

$f(x)=3x^3-2x^2-11x+10$

If (x + 2) is a factor then:

$\implies f(x)=(x+2)(ax^2+bx+c)$

Expand:

$\implies f(x)=ax^3+bx^2+cx+2ax^2+2bx+2c$

$\implies f(x)=ax^3+2ax^2+bx^2+2bx+cx+2c$

$\implies f(x)=ax^3+(2a+b)x^2+(2b+c)x+2c$

To find a, compare the coefficients of x³:

$\implies a=3$

To find b, substitute the found value of a into the coefficient for x² and compare:

$\implies 2a+b=-2$

$\implies 2(3)+b=-2$

$\implies b=-8$

To find c, compare the constants:

$\implies 2c=10$

$\implies c=5$

Therefore:

$\implies f(x)=(x+2)(3x^2-8x+5)$

Now factor (3x²-8x+5):

$\implies 3x^2-3x-5x+5$

$\implies 3x(x-1)-5(x-1)$

$\implies (3x-5)(x-1)$

Therefore the factored function is:

$\implies f(x)=(x+2)(3x-5)(x-1)$

Zero Product Property

$\boxed{\text{If \; $a \cdot b = 0$ \; then either \; $a = 0$ \;or \;$b = 0$ (or both)}.}$

To find the zeros, set each factor equal to zero and solve for x:

$\implies x+2=0 \implies x=-2$

$\implies 3x-5=0 \implies x=\dfrac{5}{3}$

$\implies x-1=0 \implies x=1$

Therefore, the zeros of the function are:

$x=-2, \quad x=\dfrac{5}{3},\quad x=1$

3 0

1 year ago

Which pair of points have a slope of -3/5?

Allushta [10]

Answer:

No of these answers has a slope of $\frac{-3}{5}$ . My guess is B becasue its close to $\frac{-3}{5}$ unless the 5 is supposed to be negative

Step-by-step explanation:

You have to use the slope formula $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

( $x_{1}$ , $y_{1}$ ), ( $x_{2}$ , $y_{2}$ )

(4, 0), (-2, 10) $\frac{10 - 0 }{-2 - 4 }= \frac{10}{6}$ you have to simplfy, the answer will be $\frac{5}{3}$

(10, -2), (0, 4) $\frac{4 - -2 }{0- 10 }= \frac{6}{-10}$ you have to simplfy, the answer will be $\frac{3}{-5}$

(4, 2), (10, 4) $\frac{4 - 2 }{10 - 4 }= \frac{2}{6}$ you have to simplfy, the answer will be $\frac{1}{3}$

(-4, -10),(0, -2) $\frac{{-2- -10} }{0 - -4 }= \frac{8}{4}$ you have to simplfy, the answer will be $\frac{2}{1} =2$

5 0

2 years ago