Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 7.1, Problem 45E
A flower bed contains a mixture of 6
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7. From a point 20 m away on a level ground, the angle of elevation to the bottom of a
the top of the window is 32°. Calculate the
window is 27° and the angle of elevatim
height of the window.
(3 marks)
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8. All odd numbers from 1 to 10 are arranged in descending order to form a number.
(i) Write the number.
35798.
97531
31
(ii) Write the total value of the second digit of the number formed in (a) (i)
FA 7X1000-7000
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(1 mark)
9. A cylinder has a diameter of 28 cm and the height is 18 cm. Calculate its volume.
2
22 × 14 × 14 × 18
-110880m
3
(3 marks)
10. The figure below shows a right pyramid with AB = 3 cm, BC = 5 cm, and AV
VC = VD = 4 cm. Draw its net.
V
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7/18
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No chatgpt pls will upvote
Find an nfa that accepts the language L(aa (a + b)). Create and test the NFA in Jflap. Test the strings: aab,
ab, aaaa, aaaab, baab, aa, abbbb, a, b, 1. Submit the Jflap diagram and the Jflap test cases.
4. Find an nfa that accepts the language L (aa* (a+b)).
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- CVE, AVM, AC, ¬SA¬ME A Fitch Style proof for this argumentarrow_forward13:26 ... ← Robert F. Blitzer - Thinkin... 0,04 61 KB/d 目 polygons to create a fraudulent tessellation with discrepancies that are too subtle for the eye to notice. In Exercises 45-46, you will use mathematics, not your eyes, to observe the irregularities. B A 45. Find the sum of the angle measures at vertex A. Then explain why the tessellation is a fake. 46. Find the sum of the angle measures at vertex B. Then explain why the tessellation is a fake. =et at If se Fic SECTION 10.3 Polygons, Perimeter, and Tessellations 645 61. I find it helpful to think of a polygon's perimeter as the length of its boundary. 62. If a polygon is not regular, I can determine the sum of the measures of its angles, but not the measure of any one of its angles. 63. I used floor tiles in the shape of regular pentagons to completely cover my kitchen floor. In Exercises 64-65, write an algebraic expression that represents the perimeter of the figure shown. is be 64. le a b C 2/ If se nyarrow_forwardnot use ai please don'tarrow_forward
- pls helparrow_forwardUse the formulas developed in this section to find the area of the figure. A= (Simplify your answer.) 8.5 m 7 T 13 m 7.7 m m 21 marrow_forwardFind the circumference and area of the circle. Express answers in terms of and then round to the nearest tenth. Find the circumference in terms of C = (Type an exact answer in terms of л.) 9 cmarrow_forward
- Find the area of the figure. A = 4 m 11 m 13 m 5 marrow_forwardFind the exact values of sin(2u), cos(2u), and tan(2u) given 2 COS u where д < u < π. 2arrow_forward(1) Let R be a field of real numbers and X=R³, X is a vector space over R, let M={(a,b,c)/ a,b,cE R,a+b=3-c}, show that whether M is a hyperplane of X or not (not by definition). متکاری Xn-XKE 11Xn- Xmit (2) Show that every converge sequence in a normed space is Cauchy sequence but the converse need not to be true. EK 2x7 (3) Write the definition of continuous map between two normed spaces and write with prove the equivalent statement to definition. (4) Let be a subset of a normed space X over a field F, show that A is bounded set iff for any sequence in A and any sequence in F converge to zero the sequence converge to zero in F. އarrow_forward
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