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3 years ago

A figure is translated and then rotated about the origin. Which of the following is

Mathematics

1 answer:

coldgirl [10]3 years ago

3 0

Answer:

C) The figures are congruent.

Step-by-step explanation:

Given

Translation and rotation on a figure

Required

Select the true option

Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.

The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.

(c) is correct

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point P is located at (-2, 7), and point R is located at (1, 0). find the y value for the point Q that is located 2/3 the distan

natulia [17]

Answer: 7/3

Step-by-step explanation:

R-P= (3,-7). the displacement vector.

P+x(R-P) moves to x times distance between

P+(R-P) = R moves to 100% of the distance.

Q = P+2/3(R-P)

= (-2,7)+2/3(3,-7)

= (-2,7)+(2,-14/3)

= (0,7-14/3)

= (0,7/3)

= (0,2.3333...)

7 0

3 years ago

A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project

sweet-ann [11.9K]

Answer:

$\text{Domain of x}=[1,\infty), x \in Z^+$

Step-by-step explanation:

Given the function: $f(x)=\dfrac{280}{x},$ where:$

f(x) =number of days it would take to complete the project

x =number of full-time workers.

$\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days$

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

$\text{Domain of x}=[1,\infty), x \in Z^+$

7 0

3 years ago

4. Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

Pepsi [2]

**The missing image is attached below**

The correct answer is: 400 ft^3

Explanation:
The volume of the square pyramid = $\frac{a^2h }{3}$

Where a = base = 10 ft
h = $\sqrt{x^2 - ( \frac{a}{2} )^2} = \sqrt{13^2 - 5^2} = \sqrt{144} = 12$

Plug in the values in the equation:
The volume of the square pyramid = $\frac{10^212 }{3}$ = 400 ft^3

5 0

3 years ago

Ruby buys 24 books and 5 pens.she pays with a 500 rupee note and get rs90 as change.shania bought 12 books and 10 pens for rs280

just olya [345]

The cost of one pen is Rs 15.

It is given that Ruby paid with a 500 rupee note and got Rs 90 back.

This means that she spent 410 rupees.

Therefore the cost of 24 books and 5 pens is Rs 410.

Let the cost of books be x and the cost of pens be y.

Therefore, we can form the following equations:

24x + 5y = 410 (1)

12x + 10y = 280 (2)

We have to find the value of y.

Multiply the second equation by 2:

24x + 20y = 560 (3)

Now subtract the first equation from the third equation:

24x + 20y - 24x - 5y = 560 - 410

15y = 150

y = 15.

The variable y represents the cost of one pen.

This means that the cost of one pen is Rs 15.

Therefore, we have found that the cost of one pen is Rs 15.

Learn more about solving a system of equations here: brainly.com/question/13729904

#SPJ4

7 0

2 years ago

This is due in a hour, plz help.

Alika [10]

Answer:

To solve for x using the exterior angle thm:

3x + 6x = 99

9x = 99

x = 11

m<T:

3(11)

m<W:

6(11)

m<TUW:

180 - 99

7 0

3 years ago