Answer:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is
where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?
![6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c](https://tex.z-dn.net/?f=6%5E2%2B8%5E2%3Dc%5E2%5C%5C36%2B64%3Dc%5E2%5C%5C100%3Dc%5E2%5C%5C10%3Dc)
2. a=5, b=?, c=13
![5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b](https://tex.z-dn.net/?f=5%5E2%2Bb%5E2%3D13%5E2%5C%5C25%2Bb%5E2%3D169%5C%5C169-25%3Db%5E2%5C%5C144%3Db%5E2%5C%5C12%3Db)
3. a=7, b=9, c=?
![7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c](https://tex.z-dn.net/?f=7%5E2%2B9%5E2%3Dc%5E2%5C%5C49%2B81%3Dc%5E2%5C%5C130%3Dc%5E2%5C%5C%5Csqrt%7B130%7D%3Dc)
4. a=2, b=?, c=7
![2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b](https://tex.z-dn.net/?f=2%5E2%2Bb%5E2%3D7%5E2%5C%5C4%2Bb%5E2%3D49%5C%5C49-4%3Db%5E2%5C%5C45%3Db%5E2%5C%5C%5Csqrt%7B45%7D%3Db)
1x15=15 3x5=15 so 1 times 15 3x5=15
Answer:
The answer should be A. Y= -4x -9
To find the volume of this storage bin, you will use the formula for volume of a cylinder and of a cone.
V = Bh (cylinder)
Pi x r^2 x h
Pi x 2^2 x 10
V = 1/3 x pi x r^2 x h
1/3 x pi x 2^2 x 3
All of these choices show correct answers!
Answer:
The proportion of exam scores that are lower than Irina's score is 0.9938
Step-by-step explanation:
<u>Data</u>
- standard deviation (sd): 6 points
- value of interest (x): 95 points
z-score is computed as follows:
z = (x - mean)/sd
z = (95 - 80)/6 = 2.5
We want to find:
P(z < 2.5)
From the table attached:
P(z < 2.5) = 0.9938