The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. In case of non-integer answer(s), round your answer(s) to the nearest hundredth.

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

Answer:

y = 0.75x + 35

Step-by-step explanation:

y = 0.75x + 35

where: y for cost in $, x for number of stickers ordered

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Answer:

6

Step-by-step explanation:

Y=-x+7

Y=-1+7

Y=6

Answer:

th answer is 7:15 pm

Step-by-step explanation:

basically just count with your hands if you want, start with one finger and say 13 and go up from there, 7th finger is the 19th. Thats my easiest way of doing it. Or you can subtract 24-19 and subtract 12 from the remaining sum

Answer:

15.2

Step-by-step explanation:

Answer:

the answer is 15.2

Step-by-step explanation:

you j multiple them

Answer:

I think it’s 10

Answer:

=1/2

Step-by-step explanation:

i hope i'm right

Answer:

Lateral area of a cylinder =2πrh

=2π x 4x 5

=40π square units

OPTION B

Answer:

10

Step-by-step explanation:

2

Answer:

2(x + 5) = 2x + 10

Step-by-step explanation:

2(x + A) = 2x + 10

2x + 2A = 2x + 10

Equating constant terms on both sides :

2A = 10

A = 5

Therefore , 2(x + 5) = 2x + 10

Answer:

the second choice

Answer:

x= -48

Step-by-step explanation:

-x is being divided by 3, so you want to muiltiple both sides of the equation by 3, move the constant to the right, find your answer and then change the signs! Don't forget about the negative sign.

Answer:

a. θ = 6t

b. 1.048 minutes

c. y = 54sin(6t)

Step-by-step explanation:

diameter d = 108 foot

distance above the ground = 58 feet

a.) expression to represent number of radians

radian = 6 rad/min

θ = wt

w = 6

θ = 6t

t is in minutes

b.) we are to find the time period for one full revolution

time period = 2π/6

π = 22/7

[tex]T=\frac{2(22/7)}{6}[/tex]

= 1.048 minutes

c. Expression showing Justins height above the ground

y = rsinθ -----(1)

θ = wt = 6t

we find the radius r

diameter = 2 * radius

108 = 2r

r = 108/2

= 54 foot

we put these values in the equation 1 above

y = 54sin(6t)

Answer:

85-5=80 week 1

75= week 2

70=week 3

65=week 4

60=week 5

and so on.

Then Ashley

35+7=42 week 1

49=week 2

56=week 3

63= week 4

70=week 5

Step-by-step explanation:

Answer:

0.0006

Step-by-step explanation:

The probability is

Given that

A denotes the bottle being filled improperly

And,  

B denotes the label on the bottle will not be affixed properly

So,

P(A) = 0.02 ,

ANd, P(B) = 0.03

Also that A and B are independent events.

So, by property of independence is

P(A \cap B) = P(A and B) = P(A) P(B)

= P(A and B) =P(A)P(B)

= 0.02 × 0.03

= 0.0006

Answer:

8 is 4% of 200, 1% of 200 is 2

Answer:

x^2+12x-15

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5x4+6x2-43)+(6x4-x2+12x+12)

(x4+5x2+12x-31)

Answer:

26 units all around

Step-by-step explanation:

when finding the perimeter use the formula

2(length) + 2(width)

in this case

length is 8

width is 5

5(2) = 10

8(2) = 16

10 + 16 = 26

Answer:

Option 2: -¾

Step-by-step explanation:

First identify 2 points on the line.

(0, 1), (4, -2)

Substitute the coordinates into the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Slope of the line

[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]

[tex] = \frac{1 + 2}{ - 4} [/tex]

[tex] = - \frac{3}{4} [/tex]

☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.

=========================================================

Explanation:

The process of finding the arithmetic mean involves two steps

The first bit of info your teacher gave you is "the mean of five numbers in a set is 12". While we don't know the actual individual values themselves, we know that they must add to some variable y. Dividing y over n gets us the mean

y/n = mean

y/5 = 12

y = 5*12

y = 60

The five values add to 60.

----------

The next bit of info is that "the mean of all six is 14". That allows us to say:

(sum of all 6 values)/6 = mean

(sum of all 6 values)/6 = 14

( (sum of 5 values) + (6th value) )/6 = 14

(y + x)/6 = 14

(60 + x)/6 = 14

where x is the 6th number we want to find.

-----------

Solve for x

(60 + x)/6 = 14

60+x = 6*14

60+x = 84

x = 84-60

x = 24 so choice (1) is the answer

Answer:

The answer is B. 6×18= 108 and 108-18= d

(D = 90) the difference between the length of the tablecloth and napkin.

Answer: 11176ft.

Step-by-step explanation:

Answer:

In an isosceles triangle, 2 of the angles are identical

Sum of the 3 angles of a triangle is always 180

Possibility 1 - 50 is one of the 2 identical angles

The 3 angles will be 50, 50, (180-50-50)

Possibility 2 - 50 is not one of the 2 identical angles

The 3 angles will be 50, (180-50)/2, (180-50)/2

You can work out the above and see which answer is not the possible angle

Please let me know if you have further questions.

Answer:

D

Step-by-step explanation:

In an isosceles triangle two angles are equal to each other, single two sides are congruent. Since the sides of a triangle add up to 180, we can figure out possible answers. This means it could either be

50, 50 and 80

Or 50, 65, 65

Which means the impossible measure would be D 130.

Answer:

It's A

Step-by-step explanation:

The r coordinate of x is positive 4 which would be the frist number.

The r coordinate of y is positive 1 which would be the second number.

Answer:

No solution can be determined from the information provided.

Step-by-step explanation: