Figure out how many cups of sugar are in 1/3 cup flour: 9/4÷2= 9/4÷1/2= 1 1/8. Multiply by 3: 1 1/8x3= 9/8x3/1= 27/8= 3 3/8. 3 and 3/8 cup of sugar for 1 cup flour. :)
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (0, -4)
Point (-8, 0)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Add/Subtract:
- Simplify:
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
the baseline (where the height hits at a 90° angle) is 4 m.
the height is 3.7 m.
so, the area is
4 × 3.7 / 2 = 2 × 3.7 = 7.4 m²
Answer:
22x^2+x+3
Step-by-step explanation:
