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zalisa [80]
3 years ago
5

A right triangle has legs with the lengths of 2 and 5, find the length of the hypotenuse

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

\sqrt{29}\ units

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagorean Theorem

c^2=a^2+b^2

where

c is the hypotenuse (the greater side)

a and b are the legs (perpendicular sides)

In this problem we have

a=2\ units\\b=5\ units

substitute

c^2=2^2+5^2

c^2=29

c=\sqrt{29}\ units

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The ratio of boys to girls at a day care center is 5 to 4. which of the following cannot be the total number of children at the
EastWind [94]
C: 60 children because 60 cannont go into 9 which is the amount of children in the first ratio
7 0
3 years ago
Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 cm. What is the distance the hula hoop rol
lidiya [134]

Answer:

Distance covered by hula hoop rolls in 4 full rotations is 880 cm .

Step-by-step explanation:

Formula

Perimeter\ of\ a\ circle = 2\pi r

Where r is the radius of the circle.

As given

Allison is rolling her hula hoop on the playground.

The radius of her hula hoop is 35 cm.

r = 35 cm

\pi = \frac{22}{7}

Putting the value in the formula

Perimeter\ of\ a\ hula hoop = 2\times \frac{22}{7} \times 35

                                             = 220 cm

As given

The hula hoop rolls in 4 full rotations.

Distance covered by hula hoop rolls in 4 full rotations =  220 × 4

                                                                                          = 880 cm

Therefore the Distance covered by hula hoop rolls in 4 full rotations is 880 cm .

6 0
3 years ago
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
Simplify The Following: -4h + 22 + 6h -7
Vikentia [17]

Answer:

2h + 15

Step-by-step explanation:

-4h + 22 + 6h -7

2h + 22 - 7

2h + 15

3 0
2 years ago
One point on the trend line is 200,6 using this point and the y-intercept find the slope of the trend line.
Marina CMI [18]

Step-by-step explanation:

Use the formula (Y2 - Y1)/(X2 - X1) to find the slope between two points

We'll make Point 1 (which is X1 and Y1) the Y-intercept so

X1, Y1 = (0, 5.00)

And we'll make Point 2 (which is X2 and Y2) the point on the trend line

X2, Y2 = (200, 6.00)

Plug into the formula:

(6.00 - 5.00)/(200 - 0)

= 1/200 or 0.005

Slope: 1/200 or 0.005

---

If this helps, please mark as Brainliest! :)

6 0
3 years ago
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