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spayn [35]
3 years ago
10

What's the circumference of a circle with radius of 12 inches . use 3.14 for pi

Mathematics
1 answer:
Phantasy [73]3 years ago
3 0

Answer:

34.78

Step-by-step explanation:

not sure but I think

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If one of the short sides of a 45-45-90 triangle equals 5, how long is the hypotenuse?
Alla [95]

Answer:

hypotenuse= 2\sqrt{5}

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

\sqrt{5^{2} +5^{2} } = 2\sqrt{5}

5 0
3 years ago
Given the function ƒ(x) = 3x + 5, find ƒ(4) and x such that ƒ(x) = 38.
MissTica

Answer: A.17;11

f(4)= 3(4) + 5

=12 + 5

=17

And, f(x)= 38

=>3x+5=38

=>3x= 38-5

=>3x=33

=>x = 33÷3

=>x = 11

So, A.17;11

5 0
3 years ago
Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. Can Jeremy
stira [4]

Answer:

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Step-by-step explanation:

Step one:

given data

cost of sneakers= $60

Required

the cost of the sneaker after the two discounts

Actually, the two percents given are the discount of the sale.

the first discount is

15%= 15/100*60

=0.15*60

=$9

The second is 10% coupon

10/100*60

=0.1*60

=$6

The total discounts = 9+6= $15

The cost of the sneakers= 60-15= $45

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

4 0
2 years ago
Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal plac
DENIUS [597]

Answer:

Step-by-step explanation:

  1. <em>Use the calculator provided to solve the following problems. </em>
  2. <em> </em>
  3. <em>Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal places. </em>
  4. <em> </em>
  5. <em>Consider a t distribution with 5 degrees of freedom. Find the value of c such that P(t≤c)=0.05 . Round your answer to at least three decimal places.</em>
3 0
3 years ago
The line y = hx - 2 where h &gt; 0 meets the curve 3y² = 9x² - 6x + 1.
I am Lyosha [343]

Answer:

h=6

Step-by-step explanation:

since y =hx -2 is an equation for a line which intersects with the curve 3y^2 = 9x^2 - 6x +1. The point of intersection, let's say (x_1,y_1), should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1

therefore, the latter equation can be rewritten in a quadratic equation form as the following,

(9 - 3h^2) x^2 + (12h-6)x + (1-12) = (9 - 3h^2) x^2 + (12h-6)x -11 = 0

if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

b^2 -4ac =0

where a=9-3h^2, b=12h-6 and c=-11, as a result, the following equations can be deduced,

(12h-6)^2 - 4*(9-3h^2)*(-11) = (144h^2 -144h +36) - (36 -12h^2)*(-11)=\\(144-(-12)*(-11)h^2 )  -144h +36 -(36*(-11)) =\\12 h^2 -144h +432 =0

therefore, dividing both sides by 12

h^2 -12 +36 =0\\(h-6)^2 =0\\h=6

8 0
2 years ago
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