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sattari [20]
1 year ago
6

Z= 8i – 172 Re(z) = Im(z)

Mathematics
1 answer:
Aleksandr [31]1 year ago
3 0
You would do 172 -8 and keep the i when you cancel the numbers out
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Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
vova2212 [387]

Answer:

Height is 3

Step-by-step explanation:

4.24 x 4.24 x 6

Right triangle base = a + b + c

                         a^2 + 3^2  =  4.24^2

= a^2 + 9                             = 17.98

We cross out b to subtract.

                                   a^2  = 17.98 - 9

                                    a^2 = 8.98

We then square         √a^2 = √8.98

                                    a = 2.996

We round up               a = 3                                

We have found the height is 3

5 0
2 years ago
Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
vodomira [7]
(24, 12) and (36, 0).  The least amount of flowering plants occurs when x=2y, and the largest amount occurs when y=0.  These two points satisfy both conditions and both sum to 36.
7 0
2 years ago
Read 2 more answers
Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying
svp [43]

Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)'                                 [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S)                               [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S))   [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05

3 0
2 years ago
Lionel needs money quite frequently and doesn't need much interest at all. Which of these options for saving money is best for h
mestny [16]

Answer: Savings account - Apex

4 0
2 years ago
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There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
Troyanec [42]

Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4

<h3><u>Solution:</u></h3>

Given that

There are 3 feet in one yard  

And there are 12 feet in 4 yard  

Number of feet in one yard = 3 that is feet  : yard = 3 : 1  

Number of feet in 4 yards = 12 that is feet : yard = 12 : 4  

And 3 feet in 1 yard is equivalent to 12 feet in 4 yards means

\frac{3}{1}=\frac{12}{4}

That is 3 : 1 : : 12 : 4

A proportion is statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a : b = c : d

Hence proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 :: 12 : 4

8 0
2 years ago
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