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zlopas [31]
3 years ago
10

WILL MARK BRAINLYIST

Mathematics
1 answer:
rodikova [14]3 years ago
7 0

Answer:

D = 45 and C = 26

Step-by-step explanation:

The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer

For D just divide 90 by 2 (90/2)=45

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The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
omeli [17]
Given:

The volume of the rectangular prism is 

b^{3}+8 b^{2} +19b+12,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
2

b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)


notice that  b^{3} is the product of the largest 2 terms: mb^{2} and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12

== b^{3}+(n+3)b^{2}+(3n+4)b+12


4
now compare the coefficient with the left side:

8 b^{2}=(n+3)b^{2}

8=n+3

n=5


substituting n=5: 

the base area is b^{2}+5b+4

Answer: b^{2}+5b+4


3 0
3 years ago
Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirt from the ev
prohojiy [21]
First, we have to calculate the remaining amount of money after the cost of the ticket. It is 200 - 87.96 = 112.04 Dividing this number to 30, we can find the maximum number of t-shirts she can buy. It is less 4 and more than 3. So that, the final answer is 3. 
4 0
3 years ago
Which is the additive inverse of the complex number -8+3i?
lawyer [7]
The additive inverse of a complex z is a complex number -z, so that

\mathsf{z+(-z)=-z+z=0+0i=0}


Finding -z:

\mathsf{z=-8+3i}\\\\\\ \mathsf{z+(-z)=0+0i}\\\\\ \mathsf{-8+3i+(-z)=0+0i}\\\\ \mathsf{-z=0+0i+8-3i}\\\\ \mathsf{-z=(0+8)+(0i-3i)}\\\\ \boxed{\begin{array}{c}\mathsf{-z=8-3i} \end{array}}\qquad\checkmark


If you're having problems understanding this answer, try seeing it through your browser: <span>brainly.com/question/2159647


</span>I hope this helps.


Tags: <em>complex number additive inverse opposite algebra</em>

3 0
3 years ago
When jeremy gets his allowance he agrees to save part of it his savings and expenses are in the ratio of 7:5 if his daily allowa
nignag [31]

He saves $ 1.75 each day from his allowance.

<u><em>Explanation</em></u>

The ratio of his savings and expenses is  7 : 5

Lets assume, his savings = 7x dollar and his expenses is 5x dollar

Given that, his daily allowance is $3. So....

7x+5x=3\\ \\ 12x=3\\ \\ x=\frac{3}{12}= \frac{1}{4}= 0.25

So, the amount of his savings each day =7x= (7*0.25)dollar= 1.75 dollar

8 0
3 years ago
Question 2 please help me
Rudiy27

Answer:

D. 0.682

Step-by-step explanation:

3 0
3 years ago
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