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laiz [17]
3 years ago
8

Please help i need the answer asap!

Mathematics
1 answer:
serg [7]3 years ago
6 0
92
Because similar triangles has congruent corresponding angle measures
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

Returning the limits,

\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

4 0
3 years ago
10. Alice Nako's monthly credit card statement has a previous balance of
olga2289 [7]
307.85
-40
-9.50
-41.75
+23.75
-4.62
=235.73$
3 0
3 years ago
Please help! alg 1! I really need a explaintion fastttt
Gelneren [198K]

Answer:

  1. y = -5x +10
  2. (0, 10)
  3. (1, 5)
  4. see attached

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

  y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

  (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

  (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached

7 0
3 years ago
Which phrase is represented by the expression 6/r+5?
ANTONII [103]

Answer:

D.five more than the quotient of 6 and a number,

Step-by-step explanation:

To evaluate the the phrase written as :

6/r+5

Here, there is no bracket to make any distinction, hence using the BODMAS mode of evaluation, we deal with the division first before the sum. Hence we interpr te the equation as :

6 / r = quotient ; then, 5 is added to the quotient obtained from the divison of 6 by r.

3 0
3 years ago
Calculate the slope of the line passing through the two colored points below.
Anton [14]

Answer:

slope:

m= (y2-y1)/(x2-x1)

you just take two points and plug in the x and y values into the equation above

Step-by-step explanation:

4 0
3 years ago
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