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zvonat [6]
3 years ago
8

B 5 3 a 4 What is the length of the hypotenuse of this triangle? 3 units 5 units 4 units​

Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Answer:

5 units

Step-by-step explanation:

The hypotenuse is always the longest segment on a triangle. If the lengths of the sides of this triangle are 3 units, 4 units, and 5 units, the hypotenuse will be 5 units. You can use the pythagorean theorem to check.

a^2+b^2=c^2

If you substitute the variable with the lengths of the legs in ascending order, you will get 3^2+4^2=5^2. Simplifying the equation, you will get 9+16=25, or 25=25. Thus, proving the equation.

Hope this helped! :)

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Un grupo de 4 amigos va al cine y las entradas les han costado 24$.¿cuanto pagaria en total un grupo de 7 amigos por sus entrada
vodka [1.7K]

hi

4 entries are  24   so one  entry is  24/4 = 6  

so 7 friends pay  6*7 = 42

5 0
3 years ago
Write a polynomial of least degree with rational coefficients, a leading coefficient of 1, and zeros at 3 and sqr root 7. Expand
Tresset [83]

Answer:

(x-3)(x^2-7) = x^3 -3x^2 -7x + 21

just change the sign of the root and put x in front of it, then multiply the factors all together

(x-3)(x-sqr7)(x+sqr7)    roots come in conjugate pairs to eliminate irrational coefficients

(x-sqr7)(x+sqr7) = x^2-7.  similar to (a-b)(a+b) = a^2-b^2

Step-by-step explanation:

6 0
3 years ago
As baby boomers enter their golden years, the number of people afflicted with Alzheimer's disease is expected to rise dramatical
dybincka [34]

Answer:

Step-by-step explanation:

Given that the number of people with Alzheimer's disease in the United States age 65 years and over is projected to be

N(t) = 0.00525t^2 +0.075t+4.7,(0 ≤ t ≤ 4)

where N is in millions where year 2010 corresponds to t=0

For 2020, 10 years lapsed hence t= 1

a) N(1) = 0.00525(1)^2 + 0.075(1) + 4.7\\=4.78025

So 4.78025 million people

b) Growth = N(1)-n(0) =0.08025 million

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4 0
4 years ago
Pythagorean Theorem Word
diamong [38]

Answer:

40 miles

Step-by-step explanation:

In the attached diagram, Point A is the starting point and C is the end point. We want to determine the distance from A to C.

The path driven forms a right triangle in which AC is the hypotenuse.

We therefore use the<u> Pythagorean Theorem</u> to solve for the AC.

Pythagorean Theorem: Hypotenuse^2=Opposite^2+Adjacent^2

|AC|^2=32^2+24^2\\|AC|^2=1600\\|AC|=\sqrt{1600}\\ |AC|=40$ miles

The  straight  line distance from the starting point is 40 miles.

7 0
3 years ago
Please help, I have been trying for a while :(<br><br>question on photo​
Zigmanuir [339]

Answer:

\frac{x-22}{(x+2)(x-4)}

Step-by-step explanation:

multiply the numerator/denominator of the first fraction by (x - 4)

multiply the numerator/denominator of the second fraction by (x + 2)

this ensures that the fractions have a common denominator

\frac{4}{x+2} - \frac{3}{x-4}

= \frac{4(x-4)}{(x+2)(x-4)} - \frac{3(x+2)}{(x+2)(x-4)} ← subtract numerators leaving the common denominator

= \frac{4x-16-3x-6}{(x+2)(x-4)}

=\frac{x-22}{(x+2)(x-4)}

4 0
2 years ago
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