Homework Help is Here – Start Your Trial Now!
Math
Geometry
(d) Write 13400000 in the form ax10' where Is a <10 and k € Z.

(d) Write 13400000 in the form ax10' where Is a <10 and k € Z.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.6: Optimization
Problem 16E: Laying Phone Cable City A lies on the north bank of a river that is 1 mile wide. You need to run a...
See similar textbooks
icon
Related questions
Question
Can someone please help with D? Thank you.
### Geometry MYP: 3D Solids – Part 2 **Problem 2:** A manufacturer has a contract to make 2600 solid blocks of wood. Each block is in the shape of a right triangular prism, ABCDEF, as shown in the diagram. Given the following dimensions: - \( AB = 30 \text{ cm} \) - \( BC = 24 \text{ cm} \) - \( CD = 25 \text{ cm} \) - \( \angle ABC = 35^\circ \) - \( Diagram \text{ not to scale} \) The diagram provided shows the right triangular prism ABCDEF. The right triangle AB is at the base, and BC is one of its sides, with the right angle at B. CD extends from C, perpendicular to AB. E is a point on CD such that EF extends perpendicular to CD, making the triangle become a 3D rectangular shape at one angle. There are lengths marked along AB, BC, and CD with the respective measurements mentioned above. There is a 35-degree angle marked at ABC. **Tasks:** (a) Calculate the length of \( \overline{AC} \). (b) Calculate the area of triangle \( ABC \). (c) Assuming that no wood is wasted, show that the volume of wood required to make all 2600 blocks is \( 134000000 \text{cm}^3 \), correct to three significant figures. (d) Write \( 134000000 \) in the form \( a \times 10^k \) where \( 1 \leq a < 10 \) and \( k \in \mathbb{Z} \) (integer). **Diagram Description:** The diagram includes: - A large quadrilateral thought to represent a prism with labeled points A, B, C, D, E, and F. - Side lengths: \( AB = 30 \text{cm} \), \( BC = 24 \text{cm} \), \( CD = 25 \text{cm} \). - An angle \( \angle ABC = 35^\circ \). - The point E dividing the segment CD into some ratio to mark a perpendicular point creating a right-angled triangle within the prism. **Explanations:** 1. **Length of \( AC \):** Use the Pythagorean theorem in triangle \( ABC \). \( AC
Transcribed Image Text:### Geometry MYP: 3D Solids – Part 2 **Problem 2:** A manufacturer has a contract to make 2600 solid blocks of wood. Each block is in the shape of a right triangular prism, ABCDEF, as shown in the diagram. Given the following dimensions: - \( AB = 30 \text{ cm} \) - \( BC = 24 \text{ cm} \) - \( CD = 25 \text{ cm} \) - \( \angle ABC = 35^\circ \) - \( Diagram \text{ not to scale} \) The diagram provided shows the right triangular prism ABCDEF. The right triangle AB is at the base, and BC is one of its sides, with the right angle at B. CD extends from C, perpendicular to AB. E is a point on CD such that EF extends perpendicular to CD, making the triangle become a 3D rectangular shape at one angle. There are lengths marked along AB, BC, and CD with the respective measurements mentioned above. There is a 35-degree angle marked at ABC. **Tasks:** (a) Calculate the length of \( \overline{AC} \). (b) Calculate the area of triangle \( ABC \). (c) Assuming that no wood is wasted, show that the volume of wood required to make all 2600 blocks is \( 134000000 \text{cm}^3 \), correct to three significant figures. (d) Write \( 134000000 \) in the form \( a \times 10^k \) where \( 1 \leq a < 10 \) and \( k \in \mathbb{Z} \) (integer). **Diagram Description:** The diagram includes: - A large quadrilateral thought to represent a prism with labeled points A, B, C, D, E, and F. - Side lengths: \( AB = 30 \text{cm} \), \( BC = 24 \text{cm} \), \( CD = 25 \text{cm} \). - An angle \( \angle ABC = 35^\circ \). - The point E dividing the segment CD into some ratio to mark a perpendicular point creating a right-angled triangle within the prism. **Explanations:** 1. **Length of \( AC \):** Use the Pythagorean theorem in triangle \( ABC \). \( AC
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS