Answer: -66d-21 I think.
Step-by-step explanation:
9(-8d-7<u>)</u>+6(d+7)
-72d-63+6d+42 Distributive Property
-72d+6d+-63+42 Combine Like Terms
-66d-21 Answer
To multiply fractions just multiply the numerators and multiply the denominators...
(7/2)(5/3) is equal to
(7*5)/(2*3)
35/6 that is in its simplest form but it is an improper fraction, it should be expressed as:
(30+5)/6
5 5/6
Answer:32 degrees
Step-by-step explanation:a triangle total is 180 degrees. So subtract 116 and 32 by 180 to get 32
Look at the picture.
Use Pythagorean theorem:
![r^2+23^2=(r+10)^2\\\\use\ (a+b)^2=a^2+2ab+b^2\\\\r^2+529=r^2+2\cdot r\cdot10+10^2\\\\r^2+529=r^2+20r+100\ \ \ |subtract\ r^2\ from\ both\ sides\\\\529=20r+100\ \ \ \ |subtract\ 100\ from\ both\ sides\\\\20r=429\ \ \ |divide\ both\ sides\ by\ 20\\\\r=21.45](https://tex.z-dn.net/?f=r%5E2%2B23%5E2%3D%28r%2B10%29%5E2%5C%5C%5C%5Cuse%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5Cr%5E2%2B529%3Dr%5E2%2B2%5Ccdot%20r%5Ccdot10%2B10%5E2%5C%5C%5C%5Cr%5E2%2B529%3Dr%5E2%2B20r%2B100%5C%20%5C%20%5C%20%7Csubtract%5C%20r%5E2%5C%20from%5C%20both%5C%20sides%5C%5C%5C%5C529%3D20r%2B100%5C%20%5C%20%5C%20%5C%20%7Csubtract%5C%20100%5C%20from%5C%20both%5C%20sides%5C%5C%5C%5C20r%3D429%5C%20%5C%20%5C%20%7Cdivide%5C%20both%5C%20sides%5C%20by%5C%2020%5C%5C%5C%5Cr%3D21.45)
The diameter d = 2r, therefore