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Reika [66]
3 years ago
14

If a = 8 in and b = 15 in what is the length of leg c in a right triangle using the

Mathematics
2 answers:
nirvana33 [79]3 years ago
7 0

See attachment for math work and answer.

laila [671]3 years ago
4 0
So a²+b²=c²
8²+15²=c²
64+225=c²
289=c²
±17=c
So c=17 or c=-17
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Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.
Vladimir [108]
\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt
\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k

Given \mathbf r(1)=\mathbf i+\mathbf j, we have

\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12

so that the particular solution is

\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k
8 0
3 years ago
Find the slope of the line 7x+4y=10
Fittoniya [83]

Answer:

The slope is -7/4

Step-by-step explanation:

∵ 7x + 4y = 10

∵ y = mx + c ⇒ where m is the slope of the line

∴ Re-arrange the equation

∴ 4y = 10 - 7x ⇒ ÷4

∴ y = 10/4 - (7/4) x

∴ y = 5/2 - (7/4) x

∴ The slope is -7/4

3 0
3 years ago
Carpect costs $16 a square foot. A rectangular floor is 16 feet long by 14 feet wide. How much would it cost to carpet the floor
DerKrebs [107]

Answer:

$3584

Step-by-step explanation:

- because its a rectangle, the area of the floor is length*width, so 16*14 = 224 square feet

- one square foot is $16, so 224 sqaure feet are 224*16

= 3584

8 0
2 years ago
Read 2 more answers
There are 1,295 students attending a small university.There are 714 women enrolled.What percent of the students are women?
BARSIC [14]
Total students = 1295

Number of women = 714

Percentage of women = 714/1295 x 100 = 55.14%

------------------------------------------------------------------
Answer: 55.14% of the students are women.
------------------------------------------------------------------
3 0
3 years ago
Please help will give medal!!!!
shepuryov [24]
If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
                           c² = a² + b² - 2ab(cos C)
where angle C is the angle opposite the side c. You may use the same equation to get the values of the remaining angle. Additionally, if you already have one known angle, you can solve for the rest of the angles by Law of Sines,
                                   a / sin A = b / sin B = c / sin C
7 0
3 years ago
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