Two forces of 30 pounds and 40 pounds act upon a body, forming an acute angle with each other. The angle between the resultant and the 30-pound force is 35degree 10'. Find, to the nearest ten minutes, the angle between the two given forces

Answers

Answer 1

Answer: angles in the triangle are
35°10'
180° - A (with A = angle between the 2 forces)
A - 35°10'

40/sin35°10' = 30/sin(A-35°10')
sin(A-35.17) = 30sin35.17°/40 = 0.432

A-35.17= 25.6
A = 60.77° = 60°46'
60°50'

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Which measurement is most accurate to describe the length of a ladybug?9 mm
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0.5 m
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9 mm it's the smallest measurement listed.

Which of the following numbers has a prime factorization of 3 x 3 x 3?9
12
21
27

Answers

Not completely sure on this one, but the answer I would go with is C (21) because if you factor it out it is 3x7. Both of these numbers are prime. The only thing that is confusing me in your question is the 3x3x3. if you are just asking what 3x3x3 is, then it is 9... so A.

Which of the following numbers has a prime factorization of 3 x 3 x 3?Answer: 27

Use Synthetic Division to Factor the following polynomials completely by given factors or roots and Find all the zeros; When you reach quadratic equation, performance regular factoring or Quadratic Formula. $x^(5) -9x^(3) -x^(2) +9;(x-3),(x-1)$ , as factors and -3 as a root

Answers

Answer:

The factors are (x - (1 - i√3)/2) , (x - (1 + i√3)/2) , (x - 3) , (x + 3) , (x - 1)

The zeroes are 1 , 3 , -3 , (1 - i√3)/2 , (1 + i√3)/2

Step-by-step explanation:

$(x^(5)+0-9x^(3) -x^(2)+0+9)$ ÷ (x - 3) =

$(x^(4)-9x^(3)-x^(2)+0+9)$ ÷ (x - 3) =

$x^(4)+3x^(3)+(-x^(2)+0+9)$ ÷ (x - 3) =

$x^(4)+3x^(3)-x+(-3x+9)$ ÷ (x - 3) =

$(x^(4)+3x^(3)-x-3)$

$(x^(4)+3x^(3)+0-x-3)$ ÷ (x - 1) =

x³ + (4x³ + 0 - x - 3) ÷ (x - 1) =

x³ + 4x² + (4x² - x - 3) ÷ (x - 1) =

x³ + 4x² + 4x + (3x - 3) ÷ (x - 1) =

x³ + 4x² + 4x + 3

∵ -3 is a root ⇒ (x + 3) is a factor

(x³ + 4x² + 4x + 3) ÷ (x + 3) =

x² + (x² + 4x + 3) ÷ (x + 3) =

x² + x + (x + 3) ÷ (x + 3) =

x² + x + 1 ⇒ use the formula to find the factors of this quadratic

∵ a = 1 , b = 1 and c = 1

∴ $x=\frac{-1+\sqrt{(1)^(2)-4(1)(1)} }{2(1)}=(-1+√(-3))/(2)=(-1+i√(3))/(2)$

∴ $x=(-1-i√(3) )/(2)$

∴ The factors are (x - (1 - i√3)/2) , (x - (1 + i√3)/2) , (x - 3) , (x + 3) , (x - 1)

The zeroes:

x - 3 = 0 ⇒ x = 3

x + 3 = 0 ⇒ x = -3

x - 1 = 0 ⇒ x = 1

x - (1 - i√3)/2 = 0 ⇒ x = (1 - i√3)/2

x - (1 + i√3)/2 = 0 ⇒ x = (1 + i√3)/2

The zeroes are 1 , 3 , -3 , (1 - i√3)/2 , (1 + i√3)/2

What is the equation of the line that passes through the point (-3, 5) with a slope of 4?y=4-7
O y-4x+17
O y= 4x+12
O y=47-17
o y = 4x+2

Answers

Answer:

y=4x+17

Step-by-step explanation:

y-b=m(x-a)

y-5=4(x--3)

y-5=4(x+3)

y-5=4x+12

y=4x+17

WILL GIVE BRAINLIEST!!!!! 30 POINTS!!! Expression 1
6x7-3^2x9+4^3

Expression 2
5+4x2+6-2x2-1

(a) What is the value of Expression 1?
(b) Insert parenthesis in Expression 2 so that it has a value 19. Then show why your expression has a value of 19.

PLEASE EXPLAIN IN GREAT DETAIL!!! IF YOU DON'T SHOW YOUR WORK/STEPS I WILL NOT GIVE BRAINLIEST!

Answers

Expression 1 (E1)
$6 * 7 - {3}^(2 * 9) + {4}^(3)$
Let's Simplify E1
$42- {3}^(18) + 64 \n 42 - 38742089 + 64 \n = - 387420383$
E1, is just simply combining like terms. Plus an expression in math, is simply something that doesn't equal anything, moreover a phrase.

Expression 2 (E2)
$5 + 4 * 2 + 6 - 2 * 2 - 1$
Without Parenthesis, the expression's value is
$5 + 4 * 2 + 6 - 2 * 2 - 1 \n 5 + 8 + 6 - 4 - 1 \n 13 + 6 - 4 - 1 \n 19 - 4 - 1 \n 14$
With Parentheses, you'll get
$5 + 4 * 2 + 6 - 2 * 2 - 1 \n (5 + 4 )* 2+ 6 -2 * 2- 1 \n ((9) * 2) + 6 - 2 * 2 - 1 \n (18) + 6 - 2 * 2 - 1 \n (24) - 2 * 2 - 1 \n (24) - 4 - 1 \n 19$
In E2, you expression first has a value of 14 due to the order of operations, PEMDAS (Please Excuse My Dear Aunt Sally) standing for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. When using the order operations before the parentheses, multiplication is done first before 5 is added to 4, order states that 4 must be multiplied by 2 first before addition. However, when placing a parentheses around 5 plus 4 we are now multiplying the value of that expression, (5+4), by 2, so it becomes 9×2, because the order of operations must be followed.

I don't understand what I'm supposed to do here. I have a test on this tomorrow so if you explain how to do it that would be great.

Answers

Here is a little tip for this: The unit above cancels the unit below. So in this problem you are asked to convert pounds to ounce. So your equation will look like this.

ounce = 2.93 pounds $( (16 ounces)/(1 pounds) ) = 46.88$
Your ratio should involve the conversion factor. So 16 and 1 is involved canceling A and D. Then, Notice that you started with poubls. Then the ratio must have pounds at the bottom to cancel the units leaving ounces.

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