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Advocard [28]
3 years ago
14

A ladder is placed with its foot 5m from the bottom of a wall 12m high. The top of the ladder just

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer:

13 m

Step-by-step explanation:

The ladder forms a right triangle with the wall that has legs of 5 and 12. We need to solve for the length of the ladder, which in this case, is the hypotenuse of the right triangle. You could use the Pythagorean Theorem but there's an easier way to do this. We can use the 5 - 12 - 13 Pythagorean triple so we know that the length of the ladder is 13 m.

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What is Evaluate<br>120 + 5​
NeX [460]

Answer:

24

Step-by-step explanation:

1: Divide 120 by 5 = 24

Answer: 24

<em><u>Hope this helps.</u></em>

7 0
3 years ago
Kenji packed an exercise ball into a cylindrical package . How much space does the package occupy in terms of pi . Enter your an
grandymaker [24]

Answer:

The space that the package would occupy is 45\pi cubic feet.

Step-by-step explanation:

The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.

Volume of a cylinder = \pir^{2}h

where: r is the radius and h is the height of the cylinder.

Given that; h = 5 feet and r = 3 feet.

The required volume = \pi × (3)^{2} × 5

                                   = \pi  × 9 × 5

                                  = 45\pi cubic feet

The space that the package would occupy is 45\pi cubic feet.

3 0
3 years ago
I need the answer and if you would please explain step by step
emmasim [6.3K]

Answer:

x=17

Step-by-step explanation:

well the triangles are congruent so that equation has to equal 61, so set it equal to 61, once you do that subtract 10 with 61 giving you 51, then divide 3 with 51 and you get 17

3x + 10 = 61 \\ 3x = 51 \\ x = 17

3 0
3 years ago
What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Sup
Kitty [74]

Answer:

-\frac{3p^8}{4q^3}

Step-by-step explanation:

\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}  can be broken down into three fractions, coefficients, powers of p, powers of q.

-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}

8 0
2 years ago
• An airplane flies with a constant speed of 624 miles per hour. How long will it take to travel a distance of 2132 miles?​
Anastasy [175]

Answer:

3 hours and 25 mins

Step-by-step explanation:

4 0
3 years ago
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