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3 years ago

What is the length of the hypotenuse, c? Round your answer to the nearest hundredth.

Mathematics

2 answers:

STALIN [3.7K]3 years ago

6 0

The answer is c= 11.18

BartSMP [9]3 years ago

5 0

Answer:

c=11.180

Step-by-step explanation:

formula to find the hypotenuse (c)= a^2+b^2=c^2

so... 10^2+5^2=c^2, please correct me if I'm incorrect, or made a mistake

100+25=c^2

125=c^2

square it and you get...

c=11.18033988...

c=11.180

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Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’

lora16 [44]

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

$x-0.1x+2.70=56.70$

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the original price of the jeans.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

$(70)-0.1(70)+2.7\stackrel{?}{=}56.70$

Multiply:

$70-7+2.7\stackrel{?}{=}56.7$

Subtract:

$63+2.7\stackrel{?}{=}56.7$

Add:

$65.7\neq56.7$

However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:

$(60)-0.1(60)+2.7\stackrel{?}{=}5.7$

Multiply:

$60-6+2.7\stackrel{?}{=}56.7$

Subtract:

$54+2.7\stackrel{?}{=}56.7$

Add:

$56.7\stackrel{\checkmark}{=}56.7$

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

8 0

3 years ago

Read 2 more answers

If f(x)=x-5 and g(x)=3x+11, find (f+g)(x).

lawyer [7]

Answer:

4x+6

Step-by-step explanation:

x-5+(3x+11)=4x+6

4 0

3 years ago

If sally drives to work 25% faster than she did yesterday, what would be her

dedylja [7]

Answer:

50 percent

Step-by-step explanation:

because sally was tried yesterday and went 25 percent faster today.

6 0

2 years ago

One common factor of two numbers is 40. Another common factor is 10. If both numbers are less than 100, what are the two numbers

Viefleur [7K]

Only two numbers less than 100 have a factor of 40: 40 (1 x 40) and 80 (2 x 40). Since 40 is a factor of both 40 and 80, 10 must also be a factor - indeed, 40 = 4 x 10 and 80 = 8 x 10.

The two number must be 40 and 80.

5 0

3 years ago

Graph the line that has a slope of 1/4 and includes the point (0,8)

Alex787 [66]

Step-by-step explanation:

Equation of line:

$y = mx + c$

where m is the slope

and c is the y-intercept (the value of y when x = 0)

In this case, given the slope = 1/4

and y-intercept is 8 (from the point (0,8))

The equation of the following line is:

$y = \frac{1}{4} x + 8$

3 0

3 years ago