Answer:
Step-by-step explanation:
Given that,
An airthmetic sequence,
261,256,251
We need to find the 50th term.
We have,
first term, a = 261
common difference = 256-261 = -5
The nth term of the AP is given by :
So, the 50th term of the sequence is 16.
Answer:
T'(-1, 4), U'(8, 4) and V'(-1, 10)
Step-by-step explanation:
If we reflect the vertices of the given triangle VTU across a line y = 3,
Rule to followed for the image points,
Line of reflection will work as a mirror.
And distance of image points and original points will be same from the line of reflection.
Therefore, Coordinates of the vertices of the image triangle will be,
T'(-1, 4), U'(8, 4) and V'(-1, 10)
The answer to this question is:
<span><span>A. The length is 8 inches, and the width is 5 inches.
</span>The scale factor can be found in the question, <em>"</em></span><span><em>the art team made a scale drawing of the top of the box using a scale of 3 inches to 1 inch"</em>. This means the scale drawing should be divided by a scale factor of 3:1 (simplified into 3).
</span>
The scale factor is then divided with the components provided (24 inches in length, 15 inches in width).
(24/3) = 8 inches
(15/3) = 5 inches
Your answer is length = 8 inches, width = 5 inches.
Answer:
The blue box is 38 cubic feet grater than the red box.
Step-by-step explanation:
Cuboid:
- It is a three dimensional shape.
- It has 6 faces.
- The surface area of a cuboid is = 2(lb+bh+lh), where l = length, b= width, h= height.
- The volume of a cuboid is = l×b×h
Given that,
Ben has two boxes.
The volume of the red box is 46 cubic feet.
The dimensions of the blue box is 7 feet by 4 feet by 3 feet.
The volume of the blue box is = length ×width × height
=(7×4×3) cubic feet
= 84 cubic feet
The blue box is (84-46) cubic feet =38 cubic feet grater than the red box.
Answer:
(3x + 7) (x + 1 )
Step-by-step explanation:
3x^2+10x+7
first : 3x² is 3x*x
(3x ) (x )
the sign of the constant is positive so it is either (plus *plus or minus*minus)
since the sign of the middle is plus (+10x) and 7 is prime number so it has to be (7*1)
(3x + 7) (x + 1 )
check : multiply 3x(x+1) and 7(x+1)
3x*x +3x*1
7*x +1*7
____________________ add
3x²+ 10x +7 (correct)
