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Simora [160]
4 years ago
11

Two sides of a triangle are 8cm and 12cm. Which of the following CANNOT be the measure of the third side,

Mathematics
2 answers:
alisha [4.7K]4 years ago
8 0
The answer should be 8
blondinia [14]4 years ago
7 0

Answer:

4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.

Answer=8

Step-by-step explanation:

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Write the equation of the line passing through the points (-4,7) and (4,5).
MrRissso [65]

Answer:

y=-\frac{1}{4}x+6

Step-by-step explanation:

To find the slope: \frac{5-7}{4-(-4)} --> \frac{5-7}{4+4} --> \frac{-2}{8} --> -\frac{1}{4}

Insert into the point-slope form: (y-7)=-\frac{1}{4}(x+4)

Solve: y-7=-\frac{1}{4}x-1 --> y=-\frac{1}{4}+6

3 0
3 years ago
April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into
Mila [183]

Answer:

Monthly payment is $5970

Step-by-step explanation:

Given : April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into the annuity, which earns 4.4% APR compounded monthly.

To find : what is April's monthly payment amount?

Solution :

Formula of monthly payment  

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}  

Discount factor D=\frac{1-(1+i)^{-n}}{i}  

Where, Amount = $1,000,000

Rate r= 4.4%=0.044 compounded monthly

i=\frac{0.044}{12}=0.004  

Time = 89-65=23 years

n=23\times12=276  

Now, put all the values we get,  

D=\frac{1-(1+i)^{-n}}{i}  

D=\frac{1-(1+0.004)^{-276}}{0.004}  

D=\frac{1-(1.004)^{-276}}{0.004}  

D=\frac{1-0.33}{0.004}  

D=\frac{0.67}{0.004}  

D=167.5  

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}  

M=\frac{1000000}{167.5}  

M=5970.1  

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4 0
4 years ago
Read 2 more answers
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xxTIMURxx [149]

Answer:

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Step-by-step explanation:

Set each to 0 and solve:

9x-5 = 0

9x=5

x=5/9

6x+20=0

6x=-20

x=-20/6

x= -10/3   or -3 1/3

7 0
3 years ago
Find the exact solution to the equation. 10- log base 4 (x+6)=9
RoseWind [281]
This will require some solving.

10 - \log_4(x + 6) = 9
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3 years ago
Need help ASAP!!!Thanks
blagie [28]

Answer:1144.2 for question 5

Step-by-step explanation:

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