It's a <span>rhombus.
1. D
2. A
3. D
4. B
5. C</span>
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,
[ 0 12 12 0]
[ 0 0 12 6]
<h2>
We have to determine</h2>
Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?
<h3>According to the question</h3>
The vertices of the triangle are
The scale factor is 3.
<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>
Therefore,
The vertices of the rectangle after scaled by the factor of 3 are,

The vertices of the rectangle after it are scaled by a factor of 3.
Therefore,
The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,
[ 0 12 12 0]
[ 0 0 12 6]
To know more about Matrix click the link given below.
brainly.com/question/2489305
Answer: 9/16
Work Shown:
14 red + 10 yellow + 5 green + 3 purple = 32 total
(32 total) - (14 red) = 18 that aren't red
18/32 = 9/16 is the probability of picking something that isn't red.
Answer:
8x⁴ - 7x³ + 12x
Step-by-step explanation:
=(4x⁴ + 7x + 5x³) + (8x⁴ + 6x³ - 3x)- (4x⁴ + 4x³ - 8x)
=4x⁴ + 7x + 5x³ + 8x⁴ + 6x³ - 3x - 4x⁴ - 4x³ + 8x
=4x⁴ + 8x⁴ - 4x⁴+ <em>5x³ + 6x³ - 4x³</em> + <u>7x - 3x + 8x</u>
=8x⁴ + 7x³ + 12x