Answer:
Hypothenus = 22
Step-by-step explanation:
From the question given above, we were told that the triangles are congruent (i.e same size). Thus,
AC = EF
BC = DE
To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:
For y:
AC = y + 3
EF = 2y + 1
AC = EF
y + 3 = 2y + 1
Collect like terms
3 – 1 = 2y – y
2 = y
y = 2
For x:
BC = 5x + 7
DE = 6x + 2y
y = 2
DE = 6x + 2(2)
DE = 6x + 4
BC = DE
5x + 7 = 6x + 4
Collect like terms
7 – 4 = 6x – 5x
3 = x
x = 3
Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:
Hypothenus = BC
Hypothenus = 5x + 7
x = 3
Hypothenus = 5x + 7
Hypothenus = 5(3) + 7
Hypothenus = 15 + 7
Hypothenus = 22
OR
Hypothenus = DE
DE = 6x + 2y
y = 2
x = 3
Hypothenus = 6(3) + 2(2)
Hypothenus = 18 + 4
Hypothenus = 22
Answer:
Option D. 2
Step-by-step explanation:
1+2+(-5)+4
= 1+2-5+4
= 1+2+4-5
= 7-5
= 2
The functions are:

and

.
After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as

.
Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.
Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left.
Answer: 23
Answer:
p = $ 12521.82
Step-by-step explanation:
Interest Rate = 3.6 %, Compounding Frequency: Semi-Annual, Equivalent Annual Interest Rate
%
Number of Repayments is 11 with 10 being equal in magnitude and the last one being worth $ 270, the first repayment comes at the end of Year 2
Let $ p be the level payments that required. Therefore,
![100000 = p\times \frac{1}{0.0363} \times [1-\frac{1}{(1.0363)^{10}}] \times \frac{1}{(1.0363)} + \frac{270}{(1.0363)^{12}}](https://tex.z-dn.net/?f=100000%20%3D%20p%5Ctimes%20%20%5Cfrac%7B1%7D%7B0.0363%7D%20%5Ctimes%20%5B1-%5Cfrac%7B1%7D%7B%281.0363%29%5E%7B10%7D%7D%5D%20%5Ctimes%20%5Cfrac%7B1%7D%7B%281.0363%29%7D%20%2B%20%5Cfrac%7B270%7D%7B%281.0363%29%5E%7B12%7D%7D)
100,000 - 176.01 = p x 7.972
p = $ 12521.82
Answer:
for the first answer the second option is correct and 8 will go in the box and for the second question the second option is correct and 40 will go in the box.