Answer:
398 ft²
Step-by-step explanation:
Assuming you have correctly described the total area in terms of non-overlapping triangles and a rectangle, you can put the dimensions into the appropriate area formula and add up the pieces.
Triangle area = 1/2·bh
Rectangle area = bh
___
So, the first triangle has an area of ...
1/2·(20 ft)(20 ft) = 200 ft²
The second triangle has an area of ...
1/2·(6 ft)(6 ft) = 18 ft²
The rectangle has an area of ...
(30 ft)(6 ft) = 180 ft²
And the area total is ...
200 ft² +18 ft² +180 ft² = 398 ft²
Answer: ![56\ kmph,\quad 50\ kmph](https://tex.z-dn.net/?f=56%5C%20kmph%2C%5Cquad%2050%5C%20kmph)
Step-by-step explanation:
Given
Two cars are 600 km apart moving towards each other
Difference in their speed is 6 kmph
After 4.5 hr, they are 123 km apart that is, they covered a distance of
in 4.5 hours
Suppose their speeds is ![v_1\ \text{and}\ v_2](https://tex.z-dn.net/?f=v_1%5C%20%5Ctext%7Band%7D%5C%20v_2)
![\therefore v_1-v_2=6\quad \ldots(i)](https://tex.z-dn.net/?f=%5Ctherefore%20v_1-v_2%3D6%5Cquad%20%5Cldots%28i%29)
Also, distance traveled is given by
![\Rightarrow 477=[v_1+v_2]4.5\\\Rightarrow v_1+v_2=106\quad \ldots(ii)](https://tex.z-dn.net/?f=%5CRightarrow%20477%3D%5Bv_1%2Bv_2%5D4.5%5C%5C%5CRightarrow%20v_1%2Bv_2%3D106%5Cquad%20%5Cldots%28ii%29)
Solve, (i) and (ii) , we get ![v_1=56\ kmph\ \text{and}\ v_2=50\ kmph](https://tex.z-dn.net/?f=v_1%3D56%5C%20kmph%5C%20%5Ctext%7Band%7D%5C%20v_2%3D50%5C%20kmph)
<h2>These measurements will not form a triangle.</h2>
Step-by-step explanation:
We have sine formula
![\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BsinA%7D%3D%5Cfrac%7Bb%7D%7BsinB%7D%3D%5Cfrac%7Bc%7D%7BsinC%7D)
Given
a = 9.7
b = 49
A = 26°
Substituting
![\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}\\\\\frac{9.7}{sin26}=\frac{49}{sinB}\\\\sinB=2.21](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BsinA%7D%3D%5Cfrac%7Bb%7D%7BsinB%7D%3D%5Cfrac%7Bc%7D%7BsinC%7D%5C%5C%5C%5C%5Cfrac%7B9.7%7D%7Bsin26%7D%3D%5Cfrac%7B49%7D%7BsinB%7D%5C%5C%5C%5CsinB%3D2.21)
Value of sin B is greater than 1, which is not possible.
Hence these measurements will not form a triangle.