Answer:
The length of the rectangle is x+5.
Step-by-step explanation:
Given : The rectangle below has an area of
square meter and a width of
meter.
To find : What expression represents the length of the rectangle?
Solution :
The area of the rectangle is given by,
![\text{Area}=\text{Length}\times \text{Breadth}](https://tex.z-dn.net/?f=%5Ctext%7BArea%7D%3D%5Ctext%7BLength%7D%5Ctimes%20%5Ctext%7BBreadth%7D)
![\text{Breadth}=x+3](https://tex.z-dn.net/?f=%5Ctext%7BBreadth%7D%3Dx%2B3)
![x^2+8x+15=\text{Length}\times(x+3)](https://tex.z-dn.net/?f=x%5E2%2B8x%2B15%3D%5Ctext%7BLength%7D%5Ctimes%28x%2B3%29)
![\text{Length}=\frac{x^2+8x+15}{x+3}](https://tex.z-dn.net/?f=%5Ctext%7BLength%7D%3D%5Cfrac%7Bx%5E2%2B8x%2B15%7D%7Bx%2B3%7D)
![\text{Length}=\frac{(x+5)(x+3)}{x+3}](https://tex.z-dn.net/?f=%5Ctext%7BLength%7D%3D%5Cfrac%7B%28x%2B5%29%28x%2B3%29%7D%7Bx%2B3%7D)
![\text{Length}=x+5](https://tex.z-dn.net/?f=%5Ctext%7BLength%7D%3Dx%2B5)
Therefore, the length of the rectangle is x+5.
Answer:
a. $3600
b. 6:5
Step-by-step explanation:
Put the question into an equation:
8x - 1/4 x 8x = 5x + 450
(simplify before solving) 6x = 5x + 450
(solve) 6x-5x = 450
x = 450
This means that Jimmy had 8 x 450 $ to start with = 3600
you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!
Now ratio of new amounts:
Jimmy now has: $2700
John still has: $2250
so ratio is 2700:2250
simplify to 6:5
Hope this helps
Please mark brainiest
Answer:
6.7
Step-by-step explanation:
This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.
Soh in Soh cah toa
So sin(42)=x/10
10 times sin(42)=x
Evaluate using a calculator=6.69130606 and so on
Rounded to the nearest tenth is 6.7
So the answer is 6.7
Answer:
A. 2564 cm^2
Step-by-step explanation:
There are two triangles (Which both are the same) and three different rectangles.
1. Let's solve the area of the triangles first!
Formula: bh(1/2)
10(26)(1/2)
130
2. Now, let's multiply by 2 since there's two of them:
130(2) = 260
3. So, we got 260. Let's find the area of the three rectangles!
Formula: bh
Rectangle A: 28(36) = 1008
Rectangle B: 10(36) = 360
Rectangle C: 26(36) = 936
4. Add the area of the triangles and the rectangles!
260 + 1008 + 360 + 936 = 2564
So the surface area is 2564 cm^2
Hope this helps! <3