Answer:
.0022
Step-by-step explanation:
Answer:
D. 48
Step-by-step explanation:
In the experiment, 16/40 landed exactly on heads. If you do 16/40 * 3/3 = 48/120.
This means that you can estimate 48 of the next 120 trials have 2 coins showing heads.
Answer:
w - 3.3 + -3.3 = 5.6 - 3.3
w = 2.3
I hope these help you
A)
<span>x3</span>=<span>x+4</span>Step 1: Simplify both sides of the equation.<span><span><span>13</span>x</span>=<span>x+4</span></span>Step 2: Subtract x from both sides.<span><span><span><span>13</span>x</span>−x</span>=<span><span>x+4</span>−x</span></span><span><span><span><span>−2</span>3</span>x</span>=4</span>Step 3: Multiply both sides by 3/(-2).<span><span><span>(<span>3<span>−2</span></span>)</span>*<span>(<span><span><span>−2</span>3</span>x</span>)</span></span>=<span><span>(<span>3<span>−2</span></span>)</span>*<span>(4)</span></span></span><span>x=<span>−6</span></span>Answer:<span>x=<span>−6</span></span>
B)
<span><span>m−3</span>=<span><span><span>45</span>m</span>−2</span></span>Step 1: Subtract 4/5m from both sides.<span><span><span>m−3</span>−<span><span>45</span>m</span></span>=<span><span><span><span>45</span>m</span>−2</span>−<span><span>45</span>m</span></span></span><span><span><span><span>15</span>m</span>−3</span>=<span>−2</span></span>Step 2: Add 3 to both sides.<span><span><span><span><span>15</span>m</span>−3</span>+3</span>=<span><span>−2</span>+3</span></span><span><span><span>15</span>m</span>=1</span>Step 3: Multiply both sides by 5.<span><span>5*<span>(<span><span>15</span>m</span>)</span></span>=<span><span>(5)</span>*<span>(1)</span></span></span><span>m=5</span>Answer:<span>m=5</span>
C)
<span><span><span>x5</span>−4</span>=<span>2−<span>2<span>(<span>x5</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>x5</span>−4</span>=<span>2−<span>2<span>(<span>x5</span>)</span></span></span></span>
<span>Simplify: (Show steps)</span>
<span><span><span><span>15</span>x</span>−4</span>=<span><span><span><span>−2</span>5</span>x</span>+2</span></span>Step 2: Add 2/5x to both sides.<span><span><span><span><span>15</span>x</span>−4</span>+<span><span>25</span>x</span></span>=<span><span><span><span><span>−2</span>5</span>x</span>+2</span>+<span><span>25</span>x</span></span></span><span><span><span><span>35</span>x</span>−4</span>=2</span>Step 3: Add 4 to both sides.<span><span><span><span><span>35</span>x</span>−4</span>+4</span>=<span>2+4</span></span><span><span><span>35</span>x</span>=6</span>Step 4: Multiply both sides by 5/3.<span><span><span>(<span>53</span>)</span>*<span>(<span><span>35</span>x</span>)</span></span>=<span><span>(<span>53</span>)</span>*<span>(6)</span></span></span><span>x=10</span>Answer:<span>x=<span>10
D)
</span></span>
<span><span><span>12</span>+w</span>=<span>8−<span>3<span>(<span>w2</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>12</span>+w</span>=<span>8−<span>3<span>(<span>w2</span>)</span></span></span></span>
<span>Simplify: (Show steps)</span>
<span><span>w+<span>12</span></span>=<span><span><span><span>−3</span>2</span>w</span>+8</span></span>Step 2: Add 3/2w to both sides.<span><span><span>w+<span>12</span></span>+<span><span>32</span>w</span></span>=<span><span><span><span><span>−3</span>2</span>w</span>+8</span>+<span><span>32</span>w</span></span></span><span><span><span><span>52</span>w</span>+<span>12</span></span>=8</span>Step 3: Subtract 1/2 from both sides.<span><span><span><span><span>52</span>w</span>+<span>12</span></span>−<span>12</span></span>=<span>8−<span>12</span></span></span><span><span><span>52</span>w</span>=<span>152</span></span>Step 4: Multiply both sides by 2/5.<span><span><span>(<span>25</span>)</span>*<span>(<span><span>52</span>w</span>)</span></span>=<span><span>(<span>25</span>)</span>*<span>(<span>152</span>)</span></span></span><span>w=3</span>Answer:<span>w=3</span>
95141 1404 393
Answer:
- arc BC: 8.55 cm
- chord BC: 8.03 cm
Step-by-step explanation:
The length of an arc that subtends central angle α will be ...
s = rα . . . . where α is in radians
The central angle BOC is twice the measure of angle QBC, so is 70°, or 7π/18 radians. So, the length of arc BC is ...
s = (7 cm)(7π/18) ≈ 8.55 cm . . . arc BC
__
For central angle α and radius r, the chord subtending the arc is ...
c = 2r·sin(α/2)
c = 2(7 cm)sin(35°) ≈ 8.03 cm . . . . chord AB
