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stepladder [879]
4 years ago
8

Need help with 2 and 3 and express I’m radical form

Mathematics
1 answer:
kondaur [170]4 years ago
4 0
This is just simple Pythagorean’s theorem. a^2 + b^2 = c^2

Number 2:
5^2 + x^2 = 10^2
25 + x^2 = 100
x^2 = 75
x = sqrt 75 = 5*sqrt(3)

Number 3:
4^2 + x^2 = 7^2
16 + x^2 = 49
x^2 = 33
x = sqrt 33
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Fernando has some nickels, dimes, and quarters that are worth a total of $3.25. He has twice as many dimes as nickels. He has 3
CaHeK987 [17]

Answer:

Number of nickels = 5

Number of dimes = 10

Number of quarters = 8

Step-by-step explanation:

Fernando has a total of nickels + dimes + quarters = 3.25$

Let the number of nickels = x

Then x(.05) + dimes(.10) + quarters(0.25) = 3.25------(1)

He has twice as many dimes as nickels

dimes = 2×nickels

dimes = 2x--------(2)

He has 3 more quarters than nickels

quarters = nickels +3

quarters = x +3------(3)

From equations 1, 2, and 3.

x(.05) + 2x(.10) + (x + 3)(.25) = 3.25

.05x + 0.2x + 0.25x + .75 = 3.25

5x + 20x + 25x + 75 = 325

50x = 325 - 75

50x = 250

x = 5

Therefore the number of nickels are 5

from equation 2 number of dimes are 10

and from equation 3 number of quarters are 8.

3 0
3 years ago
Simplify (-3)(-5)(-2)
fomenos
The answer is -30 because -3 times -5 is 15 and times -2 is -30
8 0
4 years ago
Read 2 more answers
Write an inequality for x that would give this rectangle a perimeter of at least 300ft
Travka [436]

Answer:

The inequality for x is:

x\geq 142

Step-by-step explanation:

Given:

Width of rectangle = 3 ft

Height or length of rectangle = (x+5) ft

Perimeter is at least 300 ft

To write an inequality for x.

Solution:

Perimeter of a rectangle is given as:

⇒ 2l+2w

where l represents length of the rectangle and w represents the width of the rectangle.

Plugging in the given values in the formula, the perimeter can be given as:

⇒ 2(x+5)+2(3)

Using distribution:

⇒ 2x+10+6

Simplifying.

⇒ 2x+16

The perimeter is at lest 300 ft. So, the inequality can be given as:

⇒ 2x+16\geq 300

Solving for x

Subtracting both sides by 16.

⇒ 2x+16-16\geq 300-16

⇒ 2x\geq284

Dividing both sides by 2.

⇒ \frac{2x}{2}\geq \frac{284}{2}

⇒ x\geq 142   (Answer)

7 0
4 years ago
How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
marshall27 [118]

Answer:

C) 273 ft²

Step-by-step explanation:

7x11x3=231

2x1/2x7x6=42

231+42=273

3 0
3 years ago
What is the mean of the following data values? 22,37,49,15,82
densk [106]

There are 5 data values.

Mean = (22 + 37 + 49 + 15 + 83) / 5 = 41.2

7 0
3 years ago
Read 2 more answers
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