The hypotenuse of a 30-60-90 degree triangle is 24.2 ft. What is the length of the shortest leg?

Answer:

Answer:

$14.75 but if includ the money her uncle gave her than it’s $24.75

Step-by-step explanation:

Answer:

40 = 29 + x

Step-by-step explanation:

hope this helped, sorry if wrong

Answer:

61 miles

Step-by-step explanation:

1 / 6 = 1/6

1/6 * 366 = 61

1/6 of 366 is 61

We can check our answer by multiplying 61 and 6 since we divided 366 and 6

61 * 6 = 366

Now that we have checked our answer, we can comfirm that 366 divided by 6 is 61 therefore, our answer is 61 miles in 1 hour

Answer:

Week 15

Step-by-step explanation:

Find the equations to the sequences and solve as equation

5n+20 = 2n+50

5n= 2n +30

3n=30

n=15

Answer:

5

Step-by-step explanation:

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First, we take the first given information: 200 pieces = £76. Since the other unknowns are expressed in pence "p", we convert this amount to "p" = 76 x 100 = 7600p.

The information on "x" and "y" gives us 2 equations:

first:

x pieces + y pieces = 200 pieces (or x + y = 200)

placing "x" in terms of "y" gives us x = 200 - y

in terms of "y": y = 200 - x

50p(x) + 20p(y) = 7600p (or 50x + 20y = 7600)

solving for "x" gives:

x = (7600 - 20y) / 50

substituting y from our first equation gives:

x = (7600 - 20(200 - x)) / 50

x = (7600 - 4000 + 20x) / 50 (distribute - remember to distribute the negative sign)

x = (3600 + 20x) / 50 (simplify)

x = 360/5 + (2/5)x (subtract (2/5)x from both sides)

(3/5)x = 360/5

3x = 360

x = 120 (rulers bought)

substituting into our first equation:

y = 80 (pens bought)

check our solution using the second equation:

50x + 20y = 7600

50(120) + 20(80) = 7600

6000 + 1600 = 7600 (correct)

therefore:

x = 120 rulers Barry bought

y = 80 pens Barry bought

The number of rulers is 120 and the number of pens are 80 in number, bought by Barry.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

x + y = 200 pieces

x = 200 - y  (i)

y = 200 - x  (ii)

50(x) + 20(y) = 7600p

Solve the equation for x,

x = (7600 - 20y) / 50

Substitute y from the equation,

x = (7600 - 20 (200 - x)) / 50

x = (7600 - 4000 + 20x) / 50

x = (3600 + 20x) / 50

x = 360/5 + (2/5)x

(3/5)x = 360/5

3x = 360

x = 120 is the number of scales.

Substitute the value of x in the first equation,

y = 80 is the number of pens.

To know more about arithmetic operation:

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Answer: I think it’s

f ` (x) = - 8 / x²

f ` (11) = - 8 / 121

The value of the derivative at x = 11 is 8/121

The equation of the function is given as:

[tex]f(x) = -\frac 8x[/tex]

Rewrite the above equation as:

[tex]f(x) = -8x^{-1}[/tex]

Using the first principle, the derivative of f(x) is:

[tex]f'(x) = -1 \times -8x^{-1-1}[/tex]

[tex]f'(x) = -1 \times -8x^{-2}[/tex]

Evaluate the product

[tex]f'(x) = 8x^{-2}[/tex]

Rewrite the above equation as:

[tex]f'(x) = \frac{8}{x^2}[/tex]

Substitute 11 for x

[tex]f'(11) = \frac{8}{11^2}[/tex]

[tex]f'(11) = \frac{8}{121}[/tex]

Hence, the value of the derivative at x = 11 is 8/121

Read more about function derivatives at:

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Answer:

9   1/2

Step-by-step explanation:

Answer: 9 1/2

Step-by-step explanation:

Answer:

x=2

y=-8

Step-by-step explanation:

6x+3y=-12

-6x-2y=4

3y=-12-6x

y=(-12-6x)/3

y=-4-2x

substitute y

-6x-2(-4-2x)=4

-6x+8+4x=4

-2x=-4

x=2

6(2)+3y=-12

12+3y=-12

3y=-24

y=-8

check:

6(2)+3(-8)=-12

12-24=-12

-6(2)-2(-8)=4

-12=16=4

Answer:

Image result for what event started the 100 years war

The Hundred Years' War was fought between France and England during the late Middle Ages. It lasted 116 years from 1337 to 1453. The war started because Charles IV of France died in 1328 without an immediate male heir

Step-by-step explanation:

So it would be C

Answer:

Philip VI took English land

Step-by-step explanation:

"By convention, the Hundred Years' War is said to have started on May 24, 1337, with the confiscation of the English-held duchy of Guyenne by French King Philip VI." - Encyclopedia Britannica

Answer:

A)

At t = 3/2

B)

36 feet

Step-by-step explanation:

The soccer ball is modeled by the function:

[tex]h(t)=-16t^2+48t[/tex]

Where h(t) represents the height in feet of the ball over time t.

Note that this is a quadratic equation.

Part A)

Since this is a quadratic, the maximum height will be reached when the ball reaches its vertex.

So, we will find the x-coordinate of the vertex.

The vertex is given by:

[tex]\displaystyle \Big (-\frac{b}{2a} , h( -\frac{b}{2a} ) \Big)[/tex]

In this case, a = -16 and b = 48. Thus, the t-coordinate is:

[tex]\displaystyle t=-\frac{48}{2(-16)}=-\frac{48}{-32}=\frac{3}{2}[/tex]

The ball will reach is maximum height at t = 3/2.

Part B)

To find the maximum height, we can simply substitute the value back into the function and evaluated. Therefore:

[tex]\displaystyle\begin{aligned} h(\frac{3}{2})&=-16\Big(\frac{3}{2}\Big)^2+48\Big(\frac{3}{2}\Big)\\\\ &=-16\Big(\frac{9}{4}\Big)+24(3)\\ \\ &=-36+72\\\\ &= 36 \end{aligned}[/tex]

The maximum height of the ball is 36 feet.

Answer:

10x C

Step-by-step explanation:

10x (10x+1)= 10x^2+10x

Answer:

B

Step-by-step explanation:

Using the rules of radicals

[tex]\sqrt{\frac{a}{b} }[/tex] = [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex]

Given

[tex]\sqrt{\frac{2}{x} }[/tex] × [tex]\sqrt{\frac{x^2}{8} }[/tex]

= [tex]\sqrt{\frac{2x^2}{8x} }[/tex] ←  cancel 2 and 8 and x² and x

= [tex]\sqrt{\frac{x}{4} }[/tex]

= [tex]\frac{\sqrt{x} }{\sqrt{4} }[/tex]

= [tex]\frac{\sqrt{x} }{2}[/tex] → B

Answer:

-3

-12

-5

Step-by-step explanation:

A negative number with another negative symbol put onto it is positive because both negative symbols cancel each other out

So -(-3) = 3

-(-12) = 12

-(-5) = 5

Answer:

a=7

Step-by-step explanation:

step one: divide both sides by 2

now you will have  [tex]a=\frac{14}{2}[/tex]

step two: divide 14 by 2

14/2 is 7 so a is equal to 7

Hello , Your answer is [tex]{ r+9=6}{}\\\\\end{array}\right] }[/tex]

Hope this help's!

Answer:

r + 9 = 6

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Answer:

Ali could use 6 tables. There would be 3 adults

and 1 child seated at each table.

Step-by-step explanation:

GCF to find the number of tables:

18: 1, 2, 3, 6 , 9, 18;

6: 1, 2, 3, 6 .

Answer:

65 miles per day

Give my a brain baby

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

c?

Step-by-step explanation:

Answer:

c. 23 packages

Answer:

I think its A

Step-by-step explanation:

I eliminated C and D but am not 100% sure between a and b i think its right im not sure sorry

Answer:

m<1 = 60° if m<7=60°

Step-by-step explanation:

The are the same angle degree.

Answer:

see explanation

Step-by-step explanation:

(a)

The angle around the centre O of the circle = 360°, then

∠ AOB = 360° - 260° = 100°

Δ AOB is isosceles ( the radii OA and OB are congruent )

The altitude from O bisects ∠ AOB , thus

y = 50°

Since the triangle is isosceles the 2 base angles are congruent, so

x = [tex]\frac{180-100}{2}[/tex] = [tex]\frac{80}{2}[/tex] = 40°

(b)

∠ POR = 360° - 254° = 106°

Δ POR is isosceles (the radii OP and OR are congruent ) , then

the 2 base angles are congruent , thus

a = [tex]\frac{180-106}{2}[/tex] = [tex]\frac{74}{2}[/tex] = 37°

Answer:

1 and Q

Step-by-step explanation:

The first and second one, as The angle can be whatever number or letter correlates with that one. R is a different point, and QRS isn't an actual angle.

Hope this helps :)

Answer:

0.6

Step-by-step explanation: