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777dan777 [17]
2 years ago
12

Mario builds a triangular table to fit in the corner of his rectangular bedroom. Is it possible to construct more than one table

with angles that measure 45°, 90°, and 45°? Use the drop-down menus to explain your answer. It possible because the tables could have angle measures and side lengths.
Mathematics
1 answer:
Viefleur [7K]2 years ago
4 0

Answer 1 with Explanation

Obtained from the question, Mario builds a triangular table to fit in a corner of the bedroom with the construction measure of 45,90 and 45 degrees which will be possible. In order to construct any physical object, proper tool are needed for accuracy of the object to built more than one of the similar table. With the help of proper instruments and measurement Mario can easily make a triangular table for his room's corner.

Answer 2 with Explanation

As Mario built the triangular table for the corner to fit his bedroom corner. He make use of the special instrument and tool for the measurement. Indeed, it is possible to construct more than one table with the angles 45,45,90 as each of them will be similar in shape but with different values of x, hence it will differ in sizes in terms of length. The length will differ as per the requirement of Mario's needs.

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Juan told Sylvia he got a $0.50 raise this week and his new hourly rate will be $10.25 an hour. Sylvia wants to know what Juan’s
zhenek [66]

Answer:

The correct answer is:

r + 0.50 = 10.25: Subtract .50 from both sides. The answer is $9.75.

This is because Juan got a $0.50 raise which means that his new rate will be $0.50 more than his original rate (r).

6 0
2 years ago
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The graphs of f(x) = 10x and its translation, g(x), are shown. On a coordinate plane, 2 exponential functions are shown. f (x) a
cricket20 [7]

Answer:

g(x)=(10)^{x-3}

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The form of the exponential function is f(x)=a(b)^{x} , where

 a is the initial amount (x = 0) , b is the growth factor

- If b > 1 , then the function is exponential growth function

- If 0 < b < 1 , then the function is exponential decay function

- If the function translated horizontally by h units to the right , then

 the new function is g(x)=a(b)^{x-h}

- If the function translated horizontally by h units to the left , then

 the new function is g(x)=a(b)^{x+h}

- If the function translated vertically by k units up , then the new

 function is g(x)=a(b)^{x}+k

- If the function translated vertically by k units down , then the new

 function is g(x)=a(b)^{x}-k

* <em>Lets solve the problem</em>

∵ f(x) is an exponential function

∵ Points (0 , 1) , (1 , 10) , (2 , 100) belong to f(x)

- g(x) is the image of f(x) after translation

∵ Points (3 , 1) , (4 , 10) , (5 , 100) belong to g(x)

∵ point (0 , 1) on f(x) becomes (3 , 1) on g(x)

∵ point (1 , 10) on f(x) becomes (4 , 10) on g(x)

∵ point (2 , 100) on f(x) becomes (5 , 100) in g(x)

∵ All the y-coordinates of the points on the function f(x) are the same

 with the y-coordinates of the points on the function g(x)

∴ There is no vertical translation

∵ The x-coordinates of the points on the function f(x) are added by

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∴ f(x) is translated 3 units to the right

∵ f(x)=(10)^{x}

∴ g(x)=(10)^{x-3}

- Look to the attached graph for more understand

# Red graph represents f(x)

# Blue graph represents g(x)

4 0
2 years ago
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The probability is 10/12. If you need it as a decimal, it should be about 8.3%
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2 years ago
Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One common ch
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Answer:

y=\frac{-7t^2+22t-7}{7t-22}

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We are given that

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y'=(t+y)^2-1, y(3)=4

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When t=3 and y=4 then

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Differentiate z w.r.t t

Then, we get

\frac{dz}{dt}=1+y'

z'=1+z^2-1=z^2

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Integrate on both sides

-\frac{1}{z}dz=t+C

z=-\frac{1}{t+C}

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Then, we get

7=-\frac{1}{3+C}

21+7C=-1

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Substitute the value of C then we get

z=-\frac{1}{t-\frac{22}{7}}

z=\frac{-7}{7t-22}

y=z-t

y=\frac{-7}{7t-22}-t

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y=\frac{-7t^2+22t-7}{7t-22}

8 0
2 years ago
Frans filing cabinet is 6 feet tall 1 1/3 feet wide and 3 feet deep. She plans to paint all sides except the bottom of the cabin
aleksley [76]
Well you are look at a 3d image here 
so if area is length times width then we need to find the area of every side of the cabinet and add it up     
11/3 on the calculator is 3.66666667 sooooo....
top: 3 x 11/3 = 11
side 1: 3 x 6 = 18
side 2: 3 x 6 = 18 
front: 6 x 11/3 = 22
back: 6 x 11/3 = 22
so we have all of our measurements:)
now we just add them up together. 
11+18+18+22+22= 91!!
so Frans would have to paint 91 square inches of that cabinet:) hope i helped
6 0
2 years ago
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