Given the formula: t = (sq. rt. d)/4 what is the value of t when d is 900 minutes?

Answers

Answer 1

Answer: $t=(√(d))/(4) = (√(900))/(4) = (√(30\cdot 30))/(4) = (30)/(4) = 7.5$

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One side of a triangular garden is x feet long. The other two sides of the garden are both 5 feet less than twice the length of the first side of the garden.Part A: Write a simpiflied expression for perimeter, in feet, of the garden.
A fence is placed along the entire perimeter of the triangular garden. The roll of fencing is 40 ft long.
Part B: Write a simplified expression to show the amount of fencing, in feet, which is left from the roll of fencing.

Answers

A: If the 1st side of the garden is x feet long then the other sides are 2x - 5. The perimeter is simply the measure of the distance around the triangle, so the length of all three sides added up. So the equation to find the perimeter (p) would be...

p = x + (2x+5) + (2x+5)
or
p = x + 2(2x+5)

This is actually an equation so the expression to represent perimeter would simply be...

x + 2(2x+5)

B: Since we know the equation for the perimeter and we know that we have 40 feet of fencing, then the equation to find the left over fencing would just be the length of fencing minus the perimeter...

40 - x + 2(2x+5) = the leftover amount of fencing

so the expression is...

40 - x + 2(2x+5)

What is 70/6 as a mixed number

Answers

70/6 is basically saying "divide 70 by 6". So to get to a mixed numer, thats what you have to do.

70/6=11.666666...
(.666666..... is 2/3 as a fraction)

The answer is 11 2/3.

hope i helped!! :))

11 4/6 because 6 can go into 70 11 times and its just 4/6 so 11 4/6

An automobile designer is considering three body designs, five hood designs, and three fender designs. How many models would be required to show all possible ways of combining the designs?45
42
11

Answers

The right answer for the question that is being asked and shown above is that: "42." An automobile designer is considering three body designs, five hood designs, and three fender designs. There are 42 models would be required to show all possible ways of combining the designs

I'm pretty sure its 45

Given (12,8) and (x,−4), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.

Answers

17 and 7 are the possible values of x that makes up the missing y-value of the coordinates.

What is the numerical value of x?

The distanceformula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given the data in the question;

Point 1( 12,8 )

x₁ = 12
y₁ = 8

Point 2( x,−4 )

x₂ = x
y₂ = -4
Distance D = 13

Plug the given values into the distance formula and solve for x.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

13 = √( ( x - 12 )² + ( -4 - 8 )² )

13 = √( ( x - 12 )² + ( -12 )² )

Take the square of both sides

13² = ( x - 12 )² + ( -12 )²

13² = ( x - 12 )² + 114

( x - 12 )² + 114 = 169

( x - 12 )² = 169 - 114

( x - 12 )² = 25

Take the square root of both sides

x - 12 = ±√25

x - 12 = ±5

x = 12+5, x = 12-5

x = 17, x = 7

Therefore, the possible values of x are 7 and 17.

Learn more about the distance formula here: brainly.com/question/24509115

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Divide £132 in the ratio 3:8

Answers

£132 in the ratio 3:8 as 36 and 96.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two quantities of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol. As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Ratio= 3:8

Now, total = 3+ 8 = 11

So, First

£132 x 8/ 11

= 12 x 8

= 96

and, second

132 / 3/11

= 12 x 3

= 36

Hence, £132 in the ratio 3:8 as 36 and 96.