What is the value of B for the following triangular prism?



6 yd 2
12 yd 2
17.5 yd 2
15 yd 2

Answer:

Vector (ordered pair - rectangular form)

[tex]\vec F = (27.189,12.679)\,[lbf][/tex]

Vector (ordered pair - polar form)

[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]

Sum of vectorial components (linear combination)

[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ([tex]\vec F[/tex]), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

[tex]\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)[/tex] (1)

Vector (ordered pair - polar form)

[tex]\vec F = \left(\|\vec F\|, \theta\right)[/tex]

Sum of vectorial components (linear combination)

[tex]\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}[/tex] (2)

Where:

[tex]\|\vec F\|[/tex] - Norm of the vector force, in newtons.

[tex]\theta[/tex] - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

[tex]\hat{i}[/tex], [tex]\hat{j}[/tex] - Orthogonal axes, no unit.

If we know that [tex]\|\vec F\| = 30\,lbf[/tex] and [tex]\theta = 25^{\circ}[/tex], then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

[tex]\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf][/tex]

[tex]\vec F = (27.189,12.679)\,[lbf][/tex]

Vector (ordered pair - polar form)

[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]

Sum of vectorial components (linear combination)

[tex]\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N][/tex]

[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]

Answer:

x-intercept

Step-by-step explanation:

Answer: 95%

Step-by-step explanation:

Answer:

Solution given:

cotangent x=cot x=-1

now

x=cot -¹(-1)

x=180-45°

x=135°

So

ans is d. 135 degrees.

as cot is negative in 2nd quadrant.

Step-by-step explanation:

question 1

[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]

question 2

[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]

Answer:

See the attached

Step-by-step explanation:

I left last bits to you as it is about checking your understanding

Answer:

A{-4,-2,1,4} is the domain of function.

Answer:

x=-6, y=1

Step-by-step explanation:

Let's solve your system by substitution.

y=x+7;−2x−11=y

Step: Solve y=x+7 for y:

y=x+7

Step: Substitute x+7 for y in −2x−11=y:

−2x−11=y

−2x−11=x+7

−2x−11+−x=x+7+−x(Add -x to both sides)

−3x−11=7

−3x−11+11=7+11(Add 11 to both sides)

−3x=18

−3x/ −3 = 18/ −3  (Divide both sides by -3)

x=−6

Step: Substitute−6 for x in y=x+7:

y=x+7

y=−6+7

y=1  (Simplify both sides of the equation)

Answer:

x=−6 and y=1

Answer:

A) 28 7/12, or 343/12, or 28.583

B) 57.75

C) 86.3 or 86 1/3

Step-by-step explanation:

Answer:

946589196.155

Step-by-step explanation:

Hope that helps

Answer:

60%

Step-by-step explanation

Answer:

60

Step-by-step explanation:

Answer:

they're both obtuse angles, the ones highlighted in red.

Answer:

Step-by-step explanation:

Answer:

y=−25x+300

Step-by-step explanation:

have a good day/night

may i please have a branlliest

Answer:log a - log b = log (a/b) than use this formula will get

log x^2 -log x = log (x^2 /x) = log x

so answer is log x

Step-by-step explanation:

Answer:

5M

Step-by-step explanation:

Answer:I also think answer is 3

Step-by-step explanation:

Answer:

5 people will get 3 tickets and one person will get 2.

Step-by-step explanation:

5x3= 15 , 2 tickets left.

Answer:

the data of the cubic

as it the distance between the two integers closed under addition

Answer:

Its an Obtuse angles

Step-by-step explanation:

x+79=2x-37

(x+79)+(-79)=(2x-37)+(-79)

x+79-79=(2x-37)-79

x=2x-37-79

x=116

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

Answer:

Ik it

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

37.69911184

Step-by-step explanation:

because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.

Answer:

- 10 degrees Fahrenheit at 9:00 PM

Step-by-step explanation:

35 - 45 = -10

Answer:

hope this will help you more

good luck...

Answer:

[tex] \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]

Answer C is correct

Step-by-step explanation:

[tex] \sqrt[3]{ \frac{ {x}^{2} }{8 {y}^{ - 1} } } \\ \frac{ {x}^{2 \times \frac{1}{3} } \times {y}^{1 \times \frac{1}{3} } }{ \sqrt[3]{8} } \\ = \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]

Answer:

Martha's net pay next year is $46,332.

Step-by-step explanation:

First, you have to calculate the increase by multiplying the salary for 8% and adding the result to the salary:

$52,000*8%= $4,160

$52,000+$4,160= $56,160

Now, in order to find the net pay next year, you have to calculate the tax by multiplying the salary for the tax percentage and subtracting that from the salary:

$56,160*17.5%= $9,828

$56,160-$9,828= $46,332

According to this, the answer is that Martha's net pay next year is $46,332.

Answer:

Part A

The worth of the stock in 7 years is approximately $145.68

Part B

The worth of the stock in 2016 is approximately $62.48

Part C

f(7) = 85 × (1 + 0.08)⁷

Part D

85 × (1 + 0.08)⁻⁴

Step-by-step explanation:

Question

"The value of the πPhone πhas increased 8% each year for the past several years. In 2020, the stock was worth $85. What will the stock be worth in 7 years? What was the stock worth in 2016? Equation: 7 years from now? in 2016?"

The equation for the growth of the stock to a final amount f(x) is given by the general equation for exponential growth as follows;

[tex]f(t) = a \cdot (1 + r)^t[/tex]

Where, in relation to the stocks;

f(t) = The value of the stocks after 't' years

a = The initial amount of the stocks

r = The rate of growth of the stock = 8%

t = The number of years of growth

Part A

The worth of the stock in 7 years, f(7), is found as follows;

The (initial) value of the stock in 2020, a = $85

The rate of increase in the value of the stock = The growth rate of the stock, r = 8% = 8/100 = 0.08

The number of years of growth, t = 7 years

We get;

f(7) = 85 × (1 + 0.08)⁷ ≈ 145.68

The worth of the stock in 7 years, f(7) ≈ $145.68

Part B

The value of the stock in 2016 is found as follows;

The number of years between 2020 and 2016 = 2016 - 2020 = -4 (years)

Here, let 'f(t)' represent the value of the stock in 2016, and therefore, we have;

t = -4 years

r = 8% = 0.08

a = The value of the stock in 2020 = $85

Plugging in the values gives;

f(-4) = 85·(1 + 0.08)⁻⁴ = 85 × (1.08)⁻⁴ ≈ 62.48

The value of the stock in 2016, f(-4) ≈ $62.48.

Part C

The equation for 7 years from now is f(7) = 85 × (1 + 0.08)⁷

Part D

The equation for 2016 is f(-4) = 85 × (1 + 0.08)⁻⁴.