Answer: she would need four and a half cups more of sugar.
Step-by-step explanation:
You have to add together all of them sugar she would have needed so (1 1/4 times 4) and then subtract what she already had and that gives you 4 and 1/2 cups she would need. Hope this helps
I believe the answer is 7.94
the hundredth is the 4
Answer:
36 cm^2
Step-by-step explanation:
S.A. = 2 (lw + wh + lh)
S.A. = 2 ((4)(2) + (2)(2) + (4)(2))
S.A. = 2 (8 + 4 + 6)
S.A. = 2 (18)
S.A. = 36
Answer:
Part a) ![BC=10\ units](https://tex.z-dn.net/?f=BC%3D10%5C%20units)
Part b) ![AC=13.66\ units](https://tex.z-dn.net/?f=AC%3D13.66%5C%20units)
Step-by-step explanation:
step 1
Find the length side BC
Applying the law of sines
we know that
![\frac{AB}{sin(C)}=\frac{BC}{sin(A)}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7Bsin%28C%29%7D%3D%5Cfrac%7BBC%7D%7Bsin%28A%29%7D)
we have
![AB=5\sqrt{2}\ units](https://tex.z-dn.net/?f=AB%3D5%5Csqrt%7B2%7D%5C%20units)
![A=45^o](https://tex.z-dn.net/?f=A%3D45%5Eo)
![C=30^o](https://tex.z-dn.net/?f=C%3D30%5Eo)
substitute
![\frac{5\sqrt{2}}{sin(30^o)}=\frac{BC}{sin(45^o)}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7Bsin%2830%5Eo%29%7D%3D%5Cfrac%7BBC%7D%7Bsin%2845%5Eo%29%7D)
solve for BC
![BC=\frac{5\sqrt{2}}{sin(30^o)}(sin(45^o))](https://tex.z-dn.net/?f=BC%3D%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7Bsin%2830%5Eo%29%7D%28sin%2845%5Eo%29%29)
![BC=10\ units](https://tex.z-dn.net/?f=BC%3D10%5C%20units)
step 2
Find the measure of angle B
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
![m\angle A+m\angle B+m\angle C=180^o](https://tex.z-dn.net/?f=m%5Cangle%20A%2Bm%5Cangle%20B%2Bm%5Cangle%20C%3D180%5Eo)
substitute the given values
![45^o+m\angle B+30^o=180^o](https://tex.z-dn.net/?f=45%5Eo%2Bm%5Cangle%20B%2B30%5Eo%3D180%5Eo)
![75^o+m\angle B=180^o](https://tex.z-dn.net/?f=75%5Eo%2Bm%5Cangle%20B%3D180%5Eo)
![m\angle B=180^o-75^o](https://tex.z-dn.net/?f=m%5Cangle%20B%3D180%5Eo-75%5Eo)
![m\angle B=105^o](https://tex.z-dn.net/?f=m%5Cangle%20B%3D105%5Eo)
step 3
Find the length side AC
Applying the law of sines
we know that
![\frac{AB}{sin(C)}=\frac{AC}{sin(B)}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7Bsin%28C%29%7D%3D%5Cfrac%7BAC%7D%7Bsin%28B%29%7D)
we have
![AB=5\sqrt{2}\ units](https://tex.z-dn.net/?f=AB%3D5%5Csqrt%7B2%7D%5C%20units)
![A=45^o](https://tex.z-dn.net/?f=A%3D45%5Eo)
![B=105^o](https://tex.z-dn.net/?f=B%3D105%5Eo)
substitute
![\frac{5\sqrt{2}}{sin(30^o)}=\frac{AC}{sin(105^o)}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7Bsin%2830%5Eo%29%7D%3D%5Cfrac%7BAC%7D%7Bsin%28105%5Eo%29%7D)
solve for AC
![AC=\frac{5\sqrt{2}}{sin(30^o)}(sin(105^o))](https://tex.z-dn.net/?f=AC%3D%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7Bsin%2830%5Eo%29%7D%28sin%28105%5Eo%29%29)
![AC=13.66\ units](https://tex.z-dn.net/?f=AC%3D13.66%5C%20units)
Answer:
96
Step-by-step explanation:
area of a triangle = h x b/2 which means ill do
8 x 8 = 64
then 64/2
32
8x8 (again) = 64
64+32 = 96