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timama [110]
3 years ago
13

The area of the rectangle is 26cm2. Find the missing side length

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0
Where is the picture?
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The lengths of the diagonals of a rhombus are 4x and 8x. What algebraic expression gives the perimeter of the rhombus?
Marizza181 [45]

Answer:

Approximately 17.88x or 8x\sqrt{5}

Step-by-step explanation:

Use pythagorean formula. In a rhombus the diagonals bisect each other and they are perpendicular, so you could have a right triangle with legs of 2x and 4x, the hypoteneuse would then be \sqrt{(2x)^{2} +(4x)^{2} }= \sqrt{4x^{2} +16x^{2}} which is approximately 4.47x. In a rhombus all 4 sides are the same, so multiply that by 4 and you get the perimeter. 4(4.47x) = 17.88x  or if you simplify the radical instead it's 8x\sqrt{5}

4 0
3 years ago
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
K(1,0), L(4,1), M(1,4), N(-2, 3) 90% counterclockwise rotation
docker41 [41]

Answer:

K (0,1)

L (-1,4)

M (-4,1)

N (-3,-2)

Step-by-step explanation:

When you rotate a figure 90 degrees counterclockwise about the origin, the points all change from (x,y) to (-y,x). Therefore the points would go from: (answers on right side)

K (1,0) ---> K (0,1)

L (4,1) ---> L (-1,4)

M (1,4) ---> M (-4,1)

N (-2,3) ---> N (-3,-2)

5 0
3 years ago
How many digits are there in the smallest sequence of repeating digits in the decimal equivalent of 5/9
mestny [16]

Answer:

1

Step-by-step explanation:

5/9 = 0.5555555

The smallest sequence of repeating digits in the decimal equivalent of 5/9

0.5

0.5 + 0.05

0.5 + 0.05 + 0.005

0.5 + 0.05 + 0.005 + 0.0005

Hence, the number of digit in the smallest sequence of repeating decimal is 1

5/9 = 0.5....

8 0
3 years ago
PLZ HELP...
Valentin [98]
Gghhqyhgggfffggytrsshh
7 0
2 years ago
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