What is the length of the hypotenuse of the triangle?square root of 90 cm
Square root of 161 cm
17 cm
23 cm
What is the length of the hypotenuse of the triangle? - 1

Answers

Answer 1
Answer: Here is the procedure
Ans:square root of 161cm

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Figure PQR is an equilateral triangle with a semicircle added to its base.What is the perimeter of figure PQR? Use 3.14 to approximate pi.
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ASAP!!! if my grade is a 91% and i get a 74% what will my grade be
Solve for d.5d+2(2-d)=3(1+d)+1a)no solutionb)d=4c)infinitely many solutionsd)d=-3

Use the distributive property to find the product of the rational number. -3/4 ( -1/5 - 3/5)
A. 3/5
B. 4/5
C. 9/20
D. - 3/5

Answers

After using distributive property the product of the rational number is equals to (3)/(5) .

What is rational number?

" Rational number is defined as the number which is represented in the (p)/(q) , q\neq 0 form ."

Distributive property

A ( B \± C) = AB \± AC

According to the question,

Given product of the rational number,

(-3)/(4)( (-1)/(5)-(3)/(5))

Apply distributive property to simplify the given rational number we get,

((-3)/(4))( (-1)/(5))-((-3)/(4)) ((3)/(5))\n\n= ((3)/(20))+((9)/(20))\n\n= ((12)/(20))\n\n= ((3)/(5))

Hence, Option(A) is the correct answer.

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You multiply the fractions and then add the distributed fractions and you then simplify.

The answer is 3/5.

The points on a number line correspond to

Answers

the points on a number line correspond to; real numbers

A farmer wants to build a pen for his sheep. One side of the pen will be a river. The sheep need 2000 m2 of area to graze. The farmer wants to use the least amount of fencing as possible. Which equation should the farmer use to find the minimum amount of fencing?

Answers

If we let
x as the length of the pen
y as the width of the pen

The area is
xy = 2000

The perimeter is
P = 2(x+y)

From the area
y = 2000/x

Substituting
P = 2(x + 2000/x)
which is the equation used to find the least amount of fencing possible.

Final answer:

To get the minimum amount of fencing, the farmer should use the equation P = x + 2*(2000/x), representing the total fence length, where x is the length of the fence parallel to the river, and solve this to find the minimum.

Explanation:

The problem involves resolving a mathematical problem using functions in optimization. The farmer's goal is to minimize the fencing used which means minimizing the perimeter of the pen. Considering that one side of the pen will be a river, we are essentially looking for the dimensions of a rectangle (with one side along the river) which uses the least amount of fencing. Let's say the length of the fence parallel to the river is x, and the length of the fence perpendicular to the river is y.

Since area (A) is given by A = x*y, which must be 2,000 m2, we can rewrite y equation in terms of x as y = 2,000/x. The total fence length (perimeter, P) is calculated as P = x + 2y and substituting the new equation for y, we get P = x + 2*(2000/x), which is the function that the farmer needs to optimize in order to use the least amount of fencing.

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I need help. A building with a height of 48 m casts a shadow that is 30 m long. A person standing next to the building casts a shadow that is 0.8 m long. How tall is the person?

Answers

Answer:

1.28 m

Step-by-step explanation:

48/30 = x/.8

cross multiply

30x = 48(.8)

30x = 38.4

x = 38.4/30

x = 1.28 m

Admission to an amusement park is $10 for children and $15 for adults. On Saturday 1,300 people enter the park and $17,250 is collected. How many children and adults entered the park?

Answers

simple
suppose number of adults entered park on Saturday be = x
 number of children entered park on Saturday  be = y 
so we get equation 
  x + y =1300
 x= 1300 - y { equation 1}

now for each children ticket is 10$ and y number of children visited park on Saturday . so children collection on Saturday = 10y
 similarly adult collection =15x
15x+10y=17250
divide all by 5
3x+2y=3450
put x = 1300 -y from equation 1 here
3(1300-y) +2y=3450
3900 - 3y +2y = 3450
3900 - y =3450 
3900-3450 = y
450= y
so number of children visited park on saturday = 450
number of adult visited park on saturday = 1300 - 450 =850

What is 2x116 and 4x17

Answers

2* 116
= 2*(100+16)
= 2*100+ 2*16 ( distributive property)
= 200+ 32
= 232

The final answer is 232~

4*17
= 4*(10+7)
= 4*10+ 4*7 (distributive property)
= 40+ 28 
= 68

The final answer is 68~
For 2times116 =232 and for 17times4=68