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frosja888 [35]
2 years ago
11

A local businessman bought a square plot of land. The sides of the lot measure 32 feet on each side. He decides to split the lot

into two equal-sized right triangles by putting a fence down the diagonal. Approximately how many feet of fencing will he need?
Mathematics
1 answer:
Semmy [17]2 years ago
5 0

Answer:

The sides of a right triangle all right triangles fall under the identity a^2 + b^2 = c^2. Thus, if you draw the picture, you know that both a and b will be 32 feet. You plug 32 in, and get 32^2 + 32^2 =2048. The square root of 2048=45.25 ft. Thus, the diagonal will be 45.25 feet.

Step-by-step explanation:

this is the correct formula to figure out equal sided right triangle

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3. Luke is a dog walker. He gets $12 per day for walking his neighbor's dogs. He recently snapped his surfboard and
cupoosta [38]

Answer: He'd have to work 15 days.

Step-by-step explanation

With the money in his bank account he'd have to get $173 to be able to pay for the rest of the board. If you were to divide 173 by 12 you'd get 14.4166666667. But you can't have a decimal so you'd round up to get a total of 180. Which is how you get the answer of him needing to work for 15 days.

8 0
3 years ago
Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication
tia_tia [17]

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) x = 6.2\times 12 Given.

2) x = \left(6+0.2\right)\times 12 Definition of addition.

3) x = 6\times 12 + 0.2\times 12 Distributive property.

4) x = 72 + \frac{2}{10}\times 12 Definitions of multiplication and decimal number.

5) x = 72 +[2\cdot (10)^{-1}]\cdot 12 Definition of division/Associative property.

6) x = 72 + [2\cdot 12]\cdot (10)^{-1} Associative property.

7) x = 72 + 24\cdot 10^{-1} Definition of multiplication.

8) x = 72 + \frac{24}{10} Definition of divsion.

9) x = 72 + 2.4 Defintion of decimal number.

10) x = 74.4 Definition of addition/Result

Natalia's work is wrong.

5 0
2 years ago
A jar contains 550 beans. Of all the beans, 2/5 are white beans and the rest are navy beans. What is the ratio of white beans to
LenKa [72]

Answer:

2/5 are white so 3/5 are navy

Step-by-step explanation:

4 0
2 years ago
Does anyone know the answer for the question below.
8090 [49]

Answer: option C

Step-by-step explanation:

The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC

Assuming the given angle is #,

Recalling the trigonometric ratio,

tan # = opposite / adjacent

If tan # = 4, it means

opposite / adjacent = 4/1

Therefore, opposite = 4 and adjacent = 1

Applying Pythagoras theorem,

Hypotenuse^2 = opposite ^2 + adjacent ^2

Hypotenuse = AC

Opposite = 4

Adjacent = 1

AC^2 = 4^2 + 1^2 = 17

AC = ± √17

To determine cos #, we would apply another trigonometric ratio,

Cos# = adjacent /hypotenuse

Cos# = 1/±√17

Cos # =-1 /√17 or 1/√17

8 0
2 years ago
What is the 20th term to -30,-22,-14,-6?
galben [10]
98.
The numbers increase by intervals of 8. You need 16 more terms until you reach the 20th term, so 16*8=128.
128-30=98.
5 0
2 years ago
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