Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 4(1 + 3i) – (8 – 5i)
= 4 + 12i - 8 + 5i
He did not distribute the subtraction sign correctly for 8 – 5i.
= -4 + 17i
Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
Learn more about the complex number here:
brainly.com/question/10251853
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Answer:
The ratio is;
3/7 : 1
Step-by-step explanation:
Here, we want to express the given ratio in the form n:1 where n is a fully simplified fraction
Mathematically, we have this by dividing both numbers by 14
That would be ;
6/14 : 14/14
= 3/7 : 1
The mass of cocoa contained in a chocolate bar of mass 73 grams is: (73 x 54) / 100 = 39.42 grams
Answer:
sec(B)=b. ab/bc
sin(B)=c. ac/ab
csc(B)=f. ab/ac
cot(B)=a. bc/ac
tan(B)=e. ac/bc
cos(B)=d. bc/ab
Step-by-step explanation:
<u><em>SOHCAHTOA</em></u>
<u><em>Sine=Opposite/Hypotenuse</em></u>
<u><em>Cosine=Adjacent/Hypotenuse</em></u>
<u><em>Tangent=Opposite/Adjacent</em></u>
<u><em>SHACHOCotAO</em></u>
<u><em>Secant=Hypotenuse/Adjacent</em></u>
<u><em>Cosecant=Hypotenuse/Opposite</em></u>
<u><em>Cotangent=Adjacent/Opposite</em></u>
<u><em /></u>
The figure created with the rotation is a cone with a height of 3 units, and a radius of 4 units.
<h3>
What type of figure will be created?</h3>
First, we have a triangle whose vertices are: (-3, 0), (0, 0) a (-3, -4).
This is a triangle whose base measures 4 units and its height measures 3 units (if we considerate the base along the y-axis).
Then, if we rotate it around the x-axis, we will get a cone.
<h3>What are the dimensions of the cone?</h3>
The height of the cone should be the same as the height of the original triangle, and the radius of the cone should be equal to the base of the original triangle.
So the dimensions of the cone are:
- height = 3 units.
- radius = 4 units.
If you want to learn more about cones, you can read:
brainly.com/question/6613758
