ACION
1 answer:
Answer:Yes
Step-by-step explanation:
Given
Suppose side length of cube is a
If we dilate the cube using a scale factor of 2
Side length becomes 2a
and the surface area becomes
Surface area
Surface area
Thus surface area multiplied by a factor of 4
Now for volume
Therefore volume is multiplied by a factor of 8
Therefore the above statements make sense
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Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
Answer:
Constructing the given angle using the line segment drawn
Step-by-step explanation:
Given: Two line segment and one angle in between SAS congruence.
SAS congruence is visible when two triangles are similar such that they have same two sides and one angle.
Now to Draw a SAS( side,angle,side) congruent triangle three steps are followed:
1. Draw one of the measured line segment using a scale and pencil.
2. Using protractor, keep the middle of protractor on one point of line segment and draw the angle given.
3. Using a compass and scale measure the other line segment and draw an arc and finally join.
For example:
Let assume the given requirements as follows:
AB=3 cm, ∠B=45° and BC=5 cm.
Step 1: draw a line AB= 3cm using a ruler and a pencil
Step 2: Keep the protractor on B and measure angle 45°. Make a point where the angle lies and extend a line from B to this point.
Step 3: Measure 5 cm using compass and scale. Keep the point of compass on B and make an arc on extended line from B. The point where the arc meets the line from B forms point C and is joined to A.
The resultant is triangle ABC with given requirements.
