Answer:
<h2>
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about</h3>
- area of triangles
- area of rectangle
- PEMDAS
<h3>tips and formulas:</h3>
- rectangle opposite sides are equal
- area of rectangle:l×w
- area of triangle:½×h×b
<h3>let's solve:</h3>
the area of the rectangle is
4×7 in²
28 in²
the area of above triangle is
½×6×7 in²
3×7 in²
21 in²
the area of left side triangle is
½×5×4 in²
2×5 in²
10 in²
therefore,
the area of the polygon is
28+21+10 in²
<h3>59 in²</h3>
Answer:
1500
Step-by-step explanation:
You can find the complete solution in the given attachment
1. You have that<span> 1/2 gallon of water fills 2/3 of the bin.
2. Therefore, you must use proportions.
3. Let's call "x" to </span><span>the amount of water that will fill the entire bin. Then, you have:
</span><span>
(1/2)/(2/3)=(x/3/3)
</span><span> 1/2)/(2/3)=(x/1)
</span><span>
4. Now, you must clear "x", as below:
(</span><span>1x3/2x2)=(x/1)
3/4=x
x=3/4
</span> The <span>amount of water that will fill the entire bin</span><span> is 3/4 gallons.
</span>
Answer and Explanation:
Using trig ratios, we can express the given values of sin u and tan v as shown below
![\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csin%20u%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20u%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%20%5Ctan%20v%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20v%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Csqrt%5B%5D%7B21%7D%20%5Cend%7Bgathered%7D)
So we can go ahead and label the sides of the triangle as shown below;
We can find the value of u as shown below;
We can find v as shown below;
Answer:x < 3/14
Step-by-step explanation:
-14x > -3
x < 3/14
