Answer:
3) 16π cm²
4) 240.625 cm²
Step-by-step explanation:
<em>3. For this problem I'm going to use the formula Area = π × r²</em>
<em>To start off, I'm going to input our value of radius which is 4cm.</em>
π × 4²
<em>Finally, I'm going to square our value "4"</em>
16π cm²
<em>(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be </em>about 50.24 cm²
<em>4. For this problem I'm going to use the formula Area = π × (d/2)²</em>
<em>To begin, I will divide our diameter by 2 to find the radius.</em>
17.5/2 = 8.75
<em>Next, we are going to square our now, radius.</em>
8.75² = 76.5625
<em>Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)</em>
76.5625 × 22/7 = 240.625 cm²
<em>So! This is our final answer!</em>
<em />
Hope this Helps! :)
<em>Have any questions? Ask below in the comments and I will try my best to answer.
</em>
-SGO
Answer:
150 mL
Step-by-step explanation:
Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...
75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end
0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5
22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed
You will need 150 mL of the 75% solution.
Answer:
-2x+4
Step-by-step explanation:
multiply all the components of the bracket by - 1.
then you arrive at the answer above
Step 1: Subtract -2 from both sides.<span><span><span><span>
m2</span>+<span>4m</span></span>−<span>(<span>−2</span>)</span></span>=<span><span>−2</span>−<span>(<span>−2</span>)</span></span></span><span><span><span><span>
m2</span>+<span>4m</span></span>+2</span>=0</span>
Step 2: Use quadratic formula with a=1, b=4, c=2.<span>
m=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>
m=<span><span><span>−<span>(4)</span></span>±<span>√<span><span><span>(4)</span>2</span>−<span><span>4<span>(1)</span></span><span>(2)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>
m=<span><span><span>−4</span>±<span>√8</span></span>2</span></span><span><span>
m=<span><span>−2</span>+<span><span><span>√2</span><span> or </span></span>m</span></span></span>=<span><span>−2</span>−<span>√2</span></span></span><span>
</span>
Hey there!
You can use distributive property, as I mentioned in your previous questions.
multiply...
2a² × a = 2a³
2a² × -1 = -2a²
a × a = a²
a × -1 = -a
3 × a = 3a
3 × -1 = -3
add all those terms..
2a³ - 2a² + a² - a + 3a - 3
add the like terms
2a³ - a² + 2a - 3
Hope this helped :)
