My maths teacher set me this as work. And never told me what to do
1 answer:
<h3>Area of shape P = 12 square cm</h3>
Explanation:
Shape P is a triangle with the base of 4 units across the horizontal portion up top.
The height of the triangle is 6 units. Count the spaces down the middle of the triangle and you should get 6 spaces.
Area = base*height/2
Area = 4*6/2
Area = 24/2
Area = 12 square cm.
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Answer:
Given the expression: log 2 -log 6
Use the logarithmic rule :
![\log(\frac{m}{n}) = \log m - \log n](https://tex.z-dn.net/?f=%5Clog%28%5Cfrac%7Bm%7D%7Bn%7D%29%20%3D%20%5Clog%20m%20-%20%5Clog%20n)
![\log x^n = n\log x](https://tex.z-dn.net/?f=%5Clog%20x%5En%20%3D%20n%5Clog%20x)
Use the above rule to solve the expression:
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or
value of : log 2 -log 6 = 0.30102999566 - 0.77815125038 = -0.47712125472
Answer:
60°, 120°
Step-by-step explanation:
![\frac{ {tan}^{2}x }{2} - 2 {cos}^{2}x = 1 \\ \\ \frac{ {tan}^{2}x - 4{cos}^{2}x }{2} = 1 \\ \\ {tan}^{2}x - 4{cos}^{2}x = 2 \\ \\ \frac{{sin}^{2}x}{{cos}^{2}x} - 4{cos}^{2}x = 2 \\ \\ \frac{{sin}^{2}x - 4{cos}^{4}x}{{cos}^{2}x} = 2 \\ \\ {sin}^{2}x - 4{cos}^{4}x = 2{cos}^{2}x \\ \\ 4{cos}^{4}x + 2{cos}^{2}x - {sin}^{2}x = 0 \\ \\ 4{cos}^{4}x + 2{cos}^{2}x + {cos}^{2}x - 1= 0 \\ \\ 4{cos}^{4}x + 3{cos}^{2}x - 1= 0 \\ \\ 4{cos}^{4}x + 4{cos}^{2}x - {cos}^{2}x - 1= 0 \\ \\4{cos}^{2}x({cos}^{2}x + 1) - 1({cos}^{2}x + 1) = 0 \\ \\ ({cos}^{2}x + 1)(4{cos}^{2}x - 1) = 0 \\ \\ ({cos}^{2}x + 1) = 0 \: or \: (4{cos}^{2}x - 1) = 0 \\ \\ {cos}^{2}x = - 1 \: or \: 4{cos}^{2}x = 1 \\ \\ {cos}x = \sqrt{ - 1} \: which \: is \: not \: possible \\ \therefore \: {cos}^{2}x = \frac{1}{4} \\ \\ \therefore \: {cos}x = \pm\frac{1}{2} \\ \\ \therefore \: {cos}x = \frac{1}{2} \: or \: {cos}x = - \frac{1}{2} \\ \\ \therefore \: {cos}x = {cos}60 \degree \: or \: {cos}x = {cos}120 \degree \\ \\ \therefore \:x = 60 \degree \: \: or \: \: x = 120 \degree](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Btan%7D%5E%7B2%7Dx%20%7D%7B2%7D%20%20-%202%20%7Bcos%7D%5E%7B2%7Dx%20%3D%201%20%5C%5C%20%20%20%5C%5C%20%20%5Cfrac%7B%20%7Btan%7D%5E%7B2%7Dx%20%20-%204%7Bcos%7D%5E%7B2%7Dx%20%7D%7B2%7D%20%3D%201%20%5C%5C%20%20%5C%5C%20%7Btan%7D%5E%7B2%7Dx%20%20-%204%7Bcos%7D%5E%7B2%7Dx%20%3D%202%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B%7Bsin%7D%5E%7B2%7Dx%7D%7B%7Bcos%7D%5E%7B2%7Dx%7D%20-%204%7Bcos%7D%5E%7B2%7Dx%20%3D%202%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B%7Bsin%7D%5E%7B2%7Dx%20-%204%7Bcos%7D%5E%7B4%7Dx%7D%7B%7Bcos%7D%5E%7B2%7Dx%7D%20%20%3D%202%20%5C%5C%20%20%5C%5C%20%7Bsin%7D%5E%7B2%7Dx%20-%204%7Bcos%7D%5E%7B4%7Dx%20%3D%202%7Bcos%7D%5E%7B2%7Dx%20%5C%5C%20%20%5C%5C%204%7Bcos%7D%5E%7B4%7Dx%20%20%2B%202%7Bcos%7D%5E%7B2%7Dx%20-%20%7Bsin%7D%5E%7B2%7Dx%20%3D%200%20%20%5C%5C%20%20%5C%5C%204%7Bcos%7D%5E%7B4%7Dx%20%20%2B%202%7Bcos%7D%5E%7B2%7Dx%20%20%2B%20%20%7Bcos%7D%5E%7B2%7Dx%20%20-%201%3D%200%20%20%5C%5C%20%20%5C%5C%204%7Bcos%7D%5E%7B4%7Dx%20%20%2B%203%7Bcos%7D%5E%7B2%7Dx%20%20%20-%201%3D%200%20%20%5C%5C%20%20%5C%5C%204%7Bcos%7D%5E%7B4%7Dx%20%20%2B%204%7Bcos%7D%5E%7B2%7Dx%20-%20%20%20%7Bcos%7D%5E%7B2%7Dx%20-%201%3D%200%20%20%5C%5C%20%20%5C%5C4%7Bcos%7D%5E%7B2%7Dx%28%7Bcos%7D%5E%7B2%7Dx%20%2B%201%29%20-%201%28%7Bcos%7D%5E%7B2%7Dx%20%2B%201%29%20%3D%200%20%5C%5C%20%20%5C%5C%20%28%7Bcos%7D%5E%7B2%7Dx%20%2B%201%29%284%7Bcos%7D%5E%7B2%7Dx%20-%201%29%20%3D%200%20%5C%5C%20%20%5C%5C%20%28%7Bcos%7D%5E%7B2%7Dx%20%2B%201%29%20%3D%200%20%5C%3A%20or%20%5C%3A%20%284%7Bcos%7D%5E%7B2%7Dx%20-%201%29%20%3D%200%20%5C%5C%20%20%5C%5C%20%7Bcos%7D%5E%7B2%7Dx%20%3D%20%20-%201%20%5C%3A%20or%20%5C%3A%204%7Bcos%7D%5E%7B2%7Dx%20%3D%201%20%5C%5C%20%20%5C%5C%20%7Bcos%7Dx%20%3D%20%5Csqrt%7B%20-%201%7D%20%20%5C%3A%20which%20%5C%3A%20is%20%5C%3A%20not%20%5C%3A%20possible%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%7Bcos%7D%5E%7B2%7Dx%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%7Bcos%7Dx%20%3D%20%20%20%5Cpm%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%7Bcos%7Dx%20%3D%20%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%3A%20or%20%5C%3A%20%7Bcos%7Dx%20%3D%20%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%7Bcos%7Dx%20%3D%20%20%20%7Bcos%7D60%20%5Cdegree%20%5C%3A%20or%20%5C%3A%20%7Bcos%7Dx%20%3D%20%20%20%20%20%7Bcos%7D120%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3Ax%20%3D%2060%20%5Cdegree%20%5C%3A%20%20%5C%3A%20or%20%20%5C%3A%20%5C%3A%20x%20%20%3D%20120%20%5Cdegree)
Answer:
Step-by-step explanation:
= 8d+(20)(2.718282)
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Answer:
school a
Step-by-step explanation:
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The answer is D.8m
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