Answer:
square inches
Step-by-step explanation:
Given:
The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is
in long.
To find: the area of the whole quilt
Solution:
Side of each quilt = ![7(\frac{3}{4})=7(\frac{7}{4})=\frac{49}{4}](https://tex.z-dn.net/?f=7%28%5Cfrac%7B3%7D%7B4%7D%29%3D7%28%5Cfrac%7B7%7D%7B4%7D%29%3D%5Cfrac%7B49%7D%7B4%7D)
Quilt is in the form of a square such that area of square is given by ![(side)^2](https://tex.z-dn.net/?f=%28side%29%5E2)
Therefore, area of quilt =
square inches
Answer:
![B \approx 32.1\°; A \approx 39.0\°](https://tex.z-dn.net/?f=B%20%5Capprox%2032.1%5C%C2%B0%3B%20A%20%5Capprox%2039.0%5C%C2%B0)
Step-by-step explanation:
Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant
![\frac{sin\ \alpha}a = \frac{sin\ \beta}b =\frac{sin\ \gamma}c](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5C%20%5Calpha%7Da%20%3D%20%5Cfrac%7Bsin%5C%20%5Cbeta%7Db%20%3D%5Cfrac%7Bsin%5C%20%5Cgamma%7Dc)
In our case, for the left triangle,
![\frac {sin\ 103\°}{11} =\frac{sin\ B} 6 \rightarrow sin\ B = \frac6{11} sin\ 103\°](https://tex.z-dn.net/?f=%5Cfrac%20%7Bsin%5C%20103%5C%C2%B0%7D%7B11%7D%20%3D%5Cfrac%7Bsin%5C%20B%7D%206%20%5Crightarrow%20sin%5C%20B%20%3D%20%5Cfrac6%7B11%7D%20sin%5C%20103%5C%C2%B0)
Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get
![sin\ B \approx 0.53 \rightarrow B \approx 32.1\°](https://tex.z-dn.net/?f=sin%5C%20B%20%5Capprox%200.53%20%5Crightarrow%20B%20%5Capprox%2032.1%5C%C2%B0)
Same difference with the right triangle. With the same calculations
![sin\ A = \frac{26}{41} sin 83\° \approx 0.68 \rightarrow A \approx 39.0\°](https://tex.z-dn.net/?f=sin%5C%20A%20%3D%20%5Cfrac%7B26%7D%7B41%7D%20sin%2083%5C%C2%B0%20%5Capprox%200.68%20%5Crightarrow%20A%20%5Capprox%2039.0%5C%C2%B0)
Answer:
w = 13yd, l = 18yd
Step-by-step explanation:
let x be width, so x+5 = length
Perimeter is sum of all 4 sides, and since opposite sides equal in rectangle,
P = 2(l+w)
= 2(x+5 +x)
= 4x + 10
Since perimeter is give as 62yd, equation is
4x + 10 = 62
4x = 52
x = 13
Let's start with y = 4x + b (since 4 is the slope);
We need to find what number should be put instead of b;
Then, let's see what needs to be done;
Plug in the y and x values from the coordinate (22,12) into y=4x+b;
12 = 4(22) + b
Solve;
12 = 88 + b
12 - 88 = b
b = -76
Remember the equation y = 4x + b? Put the -76 instead of b:
y = 4x + -76
or: y = 4x - 76
That is the equation.
To make it standard form, put x and y both in the left side, with x first then y:
-4x + y = -76
^^Answer!
Answer:
if they are same exact thing but mirrored, then just mirror it the way it needs to.
Example
-1 in the second by -3.4, 3.4 by 1