Find the volume please and Katie, why are you deleting my questions?

Mathematics

2 answers:

Rina8888 [55]3 years ago

8 0

Volume of the prism = 75 cubic feet

Solution:

The image given is a rectangular prism (or) a cuboid.

Area of base = l × b = 25 square feet

Height of the prism = 3 feet

Volume of the prism = l × b × h

= (l × b) × h

= 25 × 3

= 75 cubic feet

Volume of the prism = 75 cubic feet

Hence, the volume of the prism is 75 cubic feet.

blagie [28]3 years ago

7 0

Answer:

75 cubic feet.

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Average national teachers salaries can be modeled using the equation y=9.25(1.06)^n , where y is the salary in thousands of doll

kiruha [24]

$y=9.25(1.06)^{n}$
Plug in $n$ to find $y$ .
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Use order of operations to solve.
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Since $y$ is the salary in thousands, multiply $170.39$ by $1000$ .
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A teacher can expect to have about $17,039 as a salary in the year 2020.

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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$