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abruzzese [7]
3 years ago
14

Find the measure of angle 1.

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer:

108°

Step-by-step explanation:

x = 9

So x + 63° = 72°

So is 8x

So 8x = 72°

Multiply 72° by 2

144°

Now subtract 144° from 360°

The answer is 216°

Now divide by 2

108°

Hope this helped :)

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The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

7 0
3 years ago
6x-9y+45 in slope intercept form
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The answer is: y= 2/3x +5
6 0
3 years ago
What is the multiplicative rate of change for the exponential function graphed to the left?
garik1379 [7]

Hence, the function increases at a constant multiplicative rate..

<h2>What is a function?</h2>

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

<h3>How to solve?</h3>

We know,

the answer is (B) the function increases at a constant multiplicative rate.

to learn more about functions: brainly.com/question/25638609

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6 0
2 years ago
Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (
valentinak56 [21]

Answer:

23

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4)  and (5, 1, 0)

A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right]

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

= -4 - 3 + 30

= 23

So the volume of the parallelepiped is 23

4 0
2 years ago
Tamara has a cell phone plan that charges $0.07
coldgirl [10]

Answer:c

Step-by-step explanation:

5 0
3 years ago
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