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Mrrafil [7]
3 years ago
6

A rectangular prism has a length of 414 in., a width of 3 in., and a height of 114 in.

Mathematics
2 answers:
pshichka [43]3 years ago
5 0
I would say B. Volume = L x W x H
likoan [24]3 years ago
3 0
It would be B 4 1/4*3*1 1/4 and c<span>12 <span>3/4</span>*1 <span>1/4</span></span>
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The line with equation −a+3b=0 coincides with the terminal side of an angle θ in standard position and sinθ&lt;0 .
Anna11 [10]
If a is the variable of the horizontal axis, then you can solve for b to get the equation of the line in slope-intercept form in the a,b plane:

-a+3b=0\implies b=\dfrac a3

i.e. a line with slope \dfrac13 through the origin, which means it is contained in the first and third quadrants. Since the terminal side of \theta has a negative sine, the angle must lie in the third quadrant.

Because the slope of the line is \dfrac13, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle \theta. Any such right triangle will have \tan\theta=\dfrac13, regardless of whether the angle is the first or third quadrant. But since \theta is known to lie in the third quadrant, and so \sin\theta and \cos\theta are both negative, you have

\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac13\implies \dfrac{\sin\theta}{\cos\theta}=\dfrac{-1}{-3}\implies \cos\theta=-3
6 0
3 years ago
Read 2 more answers
A gardener has 10 pounds of soil. He used 58 of the soil for his garden. How many pounds of soil did he use in his garden?
mars1129 [50]

Answer:

Step-by-step explanation:

58% of 10 pounds = 0.58 × 10 pounds = 5.8 pounds

8 0
3 years ago
Solve the logarithmic equation
vichka [17]

\text{We know:}\\\\\log_ab=c\iff b=a^c\\\\y=\log_{10}0.0001\\\\y=\log_{10}10^{-4}\to\boxed{y=-4}

8 0
3 years ago
on Monday joe bought 10 cups of coffee and 5 doughnuts for his his office at the cost of $16.50. It turns out that the doughnuts
AfilCa [17]

X= be coffee

Y=be donuts


Set up equations


10x+5y=16.50

5x+10y=14.25


Now multiply first equation by -2 to get a negative


(-2)10x+5y(-2)=16.50(-2)


-20x-10y=-33


Now put both equations to solve for x


-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75


Now divide -15 bith sides to get x alone


X= -18.75/-15


X= 1.25



The cost of each coffee cup$1.25



7 0
3 years ago
Convert the fraction to higher terms. Enter the value of the missing numerator. 3/11= /77?
lianna [129]

the answer is 21/77 because you multiplied 11 by 7 to get 77, you multiply 7 by which gives you 21/77
8 0
3 years ago
Read 2 more answers
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