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3 years ago

7

What is the volume, in cubic in, of a rectangular prism with a height of 17in, a width

1 answer:

melamori03 [73]3 years ago

5 0

V=1156 in³
you can find the volume by multiplying the length times width times height

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An acute angle θ is in a right triangle with sin θ = one half. What is the value of cot θ?

MrMuchimi

Answer:

√3

Step-by-step explanation:

cot²(θ) = csc²(θ) -1 . . . . . a relevant identity

= 1/sin²(θ) -1

= (1/(1/2))² -1 = 2² -1 = 3

Then ...

cot(θ) = √3 . . . . . . . . take the square root

7 0

3 years ago

Can someone help me solve the inequality-2x+4>8 with the steps? Thanks

stellarik [79]

$\huge\text{Hey there!}$

$\rm{-2x + 4 > 8}$

$\large\textsf{SUBTRACT 4 to BOTH SIDES}$

$\rm{-2x + 4 - 4 > 8 - 4}$

$\large\textsf{CANCEL puts 4 - 4 because that gives you 0}$

$\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}$

$\rm{8 - 4 = \boxed{\bf 4}}$

$\rm{NEW\ EQUATION: -2x > 4}$

$\large\textsf{DIVIDE -2 to BOTH SIDES}$

$\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}$

$\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}$

$\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }$

$\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}$

$\rm{\bold{x < -2 }}$

$\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}$

$\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

3 years ago

Show that the statement is true. If DF has endpoints D(-1,8) and E(3,-2), then the midpoint M of DE lies

Sergio [31]

please help me with my homework

5 0

3 years ago

Which fundraising event will bring in the most money ($) in 12 weeks? (Remember, 1 week = 5 school days) *

dedylja [7]

Cookie sales: 12 weeks divided by 2 weeks = 6 weeks x $360 = $2,160

Car wash: 12 weeks divided by 3 weeks = 4 weeks x $450 = $1,800

Recycling: 12 weeks divided by 4 weeks = 3 weeks x $600 = $1,800

Yard work: 12 weeks divided by 2/5 weeks = 30 x $80 = $2,400

4 0

3 years ago

In a sample of 528 customers, 237 say they are happy with the service. If you select three customers without replacement for a c

DanielleElmas [232]

Answer: 0.0898

Step-by-step explanation:

Probability = $\dfrac{favorable\ outcomes}{Total\ outcomes}$

Given : Sample size : 528

Number pf customers say they are happy = 237

Probability of getting one happy customer= $\dfrac{237}{528}$

Probability of getting second happy customer= $\dfrac{236}{527}$ [subtract 1 from both numbers]

Probability of getting third happy customer= $\dfrac{235}{526}$

If 3 customers are elected without replacement

The probability they will all say they are happy with the service = $\dfrac{237}{528}\times\dfrac{236}{527}\times\dfrac{235}{526}$

$\approx0.0898$

Hence, the required probability = 0.0898

3 0

3 years ago