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3 years ago

What’s the hypotenuse

Mathematics

2 answers:

kifflom [539]3 years ago

7 0

Answer:

Step-by-step explanation:

pythagreos

a aquared+b squared=c squared

jeka943 years ago

5 0

Answer:

Step-by-step explanation:

see attached for reference

for the given right triangle, applying the Pythagorean formula gives us:

c² = 15² + 8²

c² = 225+64

c² = 289

c = √289

c = 17 mm

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In a 45°-45°-90° triangle, the length of the hypotenuse is 11. Find the length of one of the legs.

bagirrra123 [75]

11 / root2 = 11root2 over 2

6 0

3 years ago

2^-3 x 3^-2 2 to the power of negative 3 times by 3 to the power of negative 2

Ivan

<h3>The value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889</h3>

Solution:

Given that:

$2^{-3} \times 3^{-2}$

We have to find the value of expression

We know that,

$a^{-n} = \frac{1}{a^n}$

Therefore,

$2^{-3} \times 3^{-2} = \frac{1}{2^3} \times \frac{1}{3^2}$

We know that,

$a^2 = a \times a$

Similarly,

$2^{-3} \times 3^{-2} = \frac{1}{2 \times 2 \times 2} \times \frac{1}{3 \times 3}\\\\Simplify\\\\2^{-3} \times 3^{-2} = \frac{1}{8} \times \frac{1}{9}\\\\2^{-3} \times 3^{-2} = \frac{1}{72}\\\\Simplify\\\\2^{-3} \times 3^{-2} = 0.013889$

Thus value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889

5 0

3 years ago

Help pleaseeeeee help help help

Kamila [148]

Answer:

Step-by-step explanation:

46-32 x 5/9 = 7.8

82-32x 5/9 = 27.8

8 0

3 years ago

An = a1 + (n - 1)d

yarga [219]

Answer:

The car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

Step-by-step explanation:

Given that a car travels 300 meters in the first minute, so

a₁ = 300

Each minute after, the car travels 120 meters. , so the sequence becomes

a₁, a₂, a₃, a₄, a₅, ...

300, 420, 540, 660, 780, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$20-300=120,\:\quad \:540-420=120,\:\quad \:660-540=120,\:\quad \:780-660=120$

The difference between all the adjacent terms is the same and equal to $d=120$

now, we have

a₁ = 300

d = 120

so substituting a₁ = 300 and d = 120 in the nth term of the sequence

$a_n=a_1+\left(n-1\right)d$

$a_n=120\left(n-1\right)+300$

$a_n=120n+180$

Thus, the nth term of the sequence is:

$a_n=120n+180$

Determining the distance the car travels in 15 minutes

As we have already determined the nth term of the sequence such as

$a_n=120n+180$

now substituting n = 15

$a_{15}=120\left(15\right)+180$

$a_{15}=1800+180$

$a_{15}=1980$

Therefore, the car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

6 0

3 years ago

Can you help me please view the image

Allushta [10]

250 for onetime set up fee and for every jersey so 250+35x is the equation

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3 years ago