Answer:
∠z is 79°
Step-by-step explanation:
Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places.
The ladder is approximately 43.0116 feet long.
QUESTION:- EVALUATE THE EXPRESSION
EXPRESSION:-
![{( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2}](https://tex.z-dn.net/?f=%7B%28%20%5Csqrt%5B6%5D%7B27%20%7Ba%7D%5E%7B3%7D%20%20%7Bb%7D%5E%7B4%7D%20%7D%20%29%7D%5E%7B2%7D%20)
<h3>ANSWER-></h3>
![{( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} \\ {( {27 {a}^{3} {b}^{4} } )}^{ \frac{2}{6} } \\ {({27 {a}^{3} {b}^{4} } )}^{ \frac{ \cancel{2}}{ \cancel6 {}^{ \: 3} } } \\ {(27)}^{ \frac{1}{3} } {a}^{ \frac{3}{3} } {b}^{ \frac{4}{3} } \\{(3)}^{ \frac{ \cancel3}{ \cancel3} } {a}^{ \frac{ \cancel3}{ \cancel3} } {b}^{\frac{3 + 1}{3} } \\3a {b}^{ \frac{ \cancel3}{ \cancel3} } {b}^{ \frac{1}{3} }](https://tex.z-dn.net/?f=%7B%28%20%5Csqrt%5B6%5D%7B27%20%7Ba%7D%5E%7B3%7D%20%20%7Bb%7D%5E%7B4%7D%20%7D%20%29%7D%5E%7B2%7D%20%20%5C%5C%20%7B%28%20%7B27%20%7Ba%7D%5E%7B3%7D%20%20%7Bb%7D%5E%7B4%7D%20%7D%20%29%7D%5E%7B%20%5Cfrac%7B2%7D%7B6%7D%20%7D%20%20%5C%5C%20%7B%28%7B27%20%7Ba%7D%5E%7B3%7D%20%20%7Bb%7D%5E%7B4%7D%20%7D%20%29%7D%5E%7B%20%5Cfrac%7B%20%5Ccancel%7B2%7D%7D%7B%20%5Ccancel6%20%7B%7D%5E%7B%20%5C%3A%20%203%7D%20%7D%20%7D%20%5C%5C%20%7B%2827%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%7Ba%7D%5E%7B%20%5Cfrac%7B3%7D%7B3%7D%20%7D%20%20%7Bb%7D%5E%7B%20%5Cfrac%7B4%7D%7B3%7D%20%7D%20%5C%5C%7B%283%29%7D%5E%7B%20%5Cfrac%7B%20%5Ccancel3%7D%7B%20%5Ccancel3%7D%20%7D%20%20%7Ba%7D%5E%7B%20%5Cfrac%7B%20%5Ccancel3%7D%7B%20%5Ccancel3%7D%20%7D%20%20%7Bb%7D%5E%7B%5Cfrac%7B3%20%2B%201%7D%7B3%7D%20%7D%20%5C%5C3a%20%7Bb%7D%5E%7B%20%5Cfrac%7B%20%5Ccancel3%7D%7B%20%5Ccancel3%7D%20%7D%20%20%7Bb%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20)
![\\ ANSWER->3ab \sqrt[3]{b} \: \: \: \: \: or \: \: 3a {b}^{ \frac{4}{3} }](https://tex.z-dn.net/?f=%20%5C%5C%20ANSWER-%3E3ab%20%5Csqrt%5B3%5D%7Bb%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%5C%3A%203a%20%7Bb%7D%5E%7B%20%5Cfrac%7B4%7D%7B3%7D%20%7D%20)
Answer:
There would have to be -6
Step-by-step explanation:
Answer:
Answer below :)
Step-by-step explanation:
Hi there!
Question 4 - the answer will be 5. Since the scale factor is 5, we would (hypothetically) multiply the area by 5 to get the new area of XYZ, so area XYZ is 5 times the area of ABC.
Question 5 - A.
First we multiply 45 by 12 to find the amount in inches. This is 540. Now, we divide that by 6 to get 90. This is our scale factor in inches, but the answers only show the scale in feet, so we have to convert. Divide 90 by 12 to get 7.5.
I hope this helps!
