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NARA [144]
3 years ago
8

Find the value of x in the isosceles triangle​

Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0

Answer:

10

Step-by-step explanation:

Seeing the 5 12 13 triple you get 1/2x=5 so

x=10

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Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound
Simora [160]

Answer:

t=2.5\ years  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045  

substitute in the formula above   and solve for t

14,000=12,500(e)^{0.045t}  

Simplify

14,000/12,500=(e)^{0.045t}  

1.12=(e)^{0.045t}  

Apply ln both sides

ln(1.12)=ln[(e)^{0.045t}]  

ln(1.12)=(0.045t)ln(e)  

Remember that

ln(e)=1  

so

ln(1.12)=(0.045t)  

t=ln(1.12)/(0.045)  

t=2.5\ years  

3 0
3 years ago
Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int
navik [9.2K]

Answer: 28\ cubes

Step-by-step explanation:

The volume of a cube can be found with this formula:

V_{(c)}=s^3

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

V_{rp}=lwh

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3

To find the volume of the shipping box, first we must convert the mixed number to  an improper fraction:

1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}

Then the volume of the shipping box is:

V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3

Now, in order to find the  number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28

6 0
3 years ago
Draw a picture of a figure that has more than 3 lines of symmetry. Draw the lines of symmetry
scZoUnD [109]

Answer: A hexagon has 6 lines of symmetry.

5 0
2 years ago
What is: <br> 8x - 2(4 + 3x)
Angelina_Jolie [31]
8x-2(4+3x) =0\\ 8x-8-6x=0 \\ 2x-8=0 \\ 2x=8 \\ x=4
6 0
3 years ago
Read 2 more answers
Can someone please help me with this?
vovikov84 [41]
Remember that X will always be one up or down depending on if there is a - or not (if it is just an x) and one over! Hope this helps

6 0
3 years ago
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