Answered: The hypotenuse of a right triangle is…

The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. O a. 44.8 m |b.33.80 m O c. 23.90 m O d. 19.80 m

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter69: Simple Practical Machine Applications

Section: Chapter Questions

Problem 6A: The legs of a right triangle are 718 and 912 . What is the length of the hypotenuse?

See similar textbooks

Related questions

Q: I- dx et – 5+ 4e¬ª

A: Explanation of the answer is as follows

Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...

A: This is a problem of maxima and minima of the function. Based on the first and second derivative tes...

Q: Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decre...

A: Let's find.

Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

Q: Find the zeros of the function and state the multiplicities. * (x) = [x-(2-/TT)][x-(2+/TT)]

Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

Q: Let P(x)—-x*+2х*-бх'-5х—1 and D(x)—x+1 Determine the remainder when P(x) is divided by D(x)

A: P(x)=-x23+2x12-6x7-5x4-1D(x)=x+1x+1=0x=-1

Q: Find the derivative of 4x - 9y = 17 9x y' = 4y -4x y' = 9y 9x 4y 4x 9y

A: Given problem:- Find the derivative of 4x² - 9y² = 17

Q: FUNCTIONS NAME: PARRO, YSA mHE uT. GRADE & SECTION: - HUM SS 7 TEACHER: -DATE: 09 22/21 SCORE: LEARN...

A: For other parts please reupload questions according to bartleby guidelines

Q: ar the function f(x) =x - 4, construct and simplify the difference quotient f(x+h)- f(x) %3D h ... e...

A: Given: f(x) = x2 - 4

Q: t11 +1 s(t) = t11 – 1 s'(t) =

Q: Let z 2ev Then: 8z 8z dy sissis

Q: For the function f(x) = x - 4, construct and simplify the difference quotient f(x + h) - f(x) The di...

Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: Consider the function f(z) = 8x10 + 8x-5x² – 8. An antiderivative of f(x) is F(I) = Ar" + Br" + Cr +...

Q: Find the area of the region bounded by the spiral r= 50 for 050ST. r= 50 2 '2 (5π,π)

A: Find your answer below

Q: x In(2 + x³) dx

A: Topic = Integration

Q: Derivatives y'0 y' 0, y">0 y'>0, y''>0 y'>0, y" 0 y'>0, y"3 .... Choose the correct graph below. 4,

A: topic - curve

Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

Q: Determine whether the improper integral converges or diverges. If it converges, determine the value ...

A: To check: Whether the integral converges or diverges. Given information: The integral is ∫16 2x-545d...

Q: Solve the problem. 2 tan x Use the trigonometric identity tan 2x to find D,tan 2x. 1- tan x

Q: Question Select your answer. x + 2 Find the derivative of f(x) = with respect to x. 3x 2 9x 2x – 6 9...

A: Solution:

Q: Determine if the relation defines y as a one-to-one function of x. O The relation defines y as a one...

A: To determine whether the given relation is a one to one function or not

Q: cossy sin³y dy 11. 1 а. 2 b.20 C. 20 d. none of the choices

A: ∫0π/2cos5y*sin5y dyWe know that cos2y=1-sin2y=∫cos(y)*sin5(y)(sin2(y)-1)2dy Substitute u=sin(y)→dud...

Q: Write the domain in interval notation. Write your answers as integers or simplified fractions if nec...

A: Topic = Functions

Q: dx 3— 2л — т2

Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the...

Q: Consider the following system of linear equations. 5x+ 20y=-10 -6x-28y=12 Solve the system by comple...

Q: Use sigma notation to write the Maclaurin series for the function. 7sin x 7( - 1)2* Σ =0 (24)! Σ 2+1...

A: NOTE: Refresh your page if you can't see any equations. . as we know, the power series of the sine f...

Q: Evaluate the iterated integral. 2 2x 10xyz dz dy dx Jo Jx

Q: Find the general solution for the differential equation. dy -20xy-5x 0 dx y = D

A: We have to find the general solution for the given differential equation.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not ...

A: In this question we have to find whether the Integral is divergent or convergent.

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of ...

Q: Ty int Let z = Then. 5z2-5y2 az

A: topic- implicit differentiation

Q: 00 6. nニ)

Q: Differentiate. 5x y = et 5- 5x y' = %3D et

A: Yes above answer is correct, lets see how to solve... This is the simple question based on different...

Q: The half-life of cesium-137 is 30 years. Suppose we have a 150 mg sample. (a) Find the mass (in mg) ...

Q: Consider the following: 36x + 49y- 1764 (a) Find two explicit functions by solving the equation for ...

Q: D. • Evaluate the indefinite integral. x4-4x²+8x` dx and Identify what is the u=? and du=? Show the ...

A: Given: I=∫x4-4x2+8x2xdx ...1 We know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xnd...

Q: Use the difference an+1 - a, to show that the given se- quence {a,} is strictly increasing or strict...

Q: Find the critical numbers of the function f(x) = 2x3 - 15x2 + 36x - 24. O a. -2 and 3 O b. 2 and 3 O...

Q: Solve the following equation for 0 on the interval [0, 360°). 7V3 cot (0) + 4 = 25 Enter your answer...

Q: Given vector Á = -3î + 4ĵ and B = î + 2j. Find vector V where magnitude is 3 and the vector is %3D p...

Q: 2. Which of the following is correctly matched? O z'y" - e"y" + sin r(y') = 0: linear, third order O...

Q: A projectile is fired vertically upward into the air, its position (in feet) above the ground after ...

Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x + h) - f(x) %3D h

Q: Use the limit comparison test to determine whether the series converges or diverges. 8k2 – 6k + 6 16...

A: On solving this we will get

Q: VI. Give the Maclaurin series expansion of f(x) = In(2 - 3x). Determine its interval of convergence....

Question

14: please help me provide a solution and answer to this

The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum.
a. 44.8 m
|b.33.80 m
O c. 23.90 m
O d. 19.80 m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A landscaper wants to put a square reflecting pool next to a triangular deck, as shown below. The triangular deck is a right triangle, with legs of length 9 feet and 11 feet, and the pool will be adjacent to the hypotenuse. (a) Use the Pythagorean Theorem to find the length of a side of the pool. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the pool.
? ABC is similar to ? XYZ. Find the length of side c.
The legs of a right triangle are 718 and 912 . What is the length of the hypotenuse?
On a fitting for a hex wrench, the distance from the center o to a vertex is 5mm The length of radius OB of the circle is 10mm. If OCDE at F, how long is FC?
Look at the two figures below. (a) Which figure looks like it has the larger area? Which looks like it has the larger perimeter? (b) Now calculate the area and perimeter of each figure. Which has the larger area? Which has the larger perimeter? (c) Were the results of part (b) the same as your answers in part (a)? Is that surprising to you?
The Turners want to install outdoor carpet around their rectangular pool. The dimensions for the rectangular area formed by the pool and its walkway are 20 ft by 30 ft. The pool is 12 ft by 24 ft. aHow many square feet need to be covered? bApproximately how many square yards does the area in part a represent? cIf the carpet costs 12.95 per square yard, what will be the cost of the carpet?
Find the length of a piece of bar stock with a regular hexagon cross section with 0.875-inch sides. The piece has a volume of 31.2 cubic inches. The formula A2.598s2 is used to determine the area of a regular hexagon where A is the area and s is the length of a side.
Solve the following machine shop exercises. Find distance y. All dimensions are in inches.
Find the area of an equilateral triangle with apothem a = 3.2 cm and perimeter P=19.23 cm.
An artist wants to make a small monument in the shape of a square base topped by a right triangle, as shown below. The square base will be adjacent to one leg of the triangle. The other leg of the triangle will measure 2 feet and the hypotenuse will be 5 feet. (a) Use the Pythagorean Theorem to find the length of a side of the square base. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the face of the square base.
Which formula would you use to establish each of the following claims? a The coordinates of X are d,c. b mVT-=0 c VT-RS- d The length of RV- is 2d2+c2 Trapezoid RSTV; X is the midpoint of RV-.