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vivado [14]
2 years ago
7

What is the area of a wall that is 28' wide by 10' high at the sides and has a triangular gable that measures 7' high?

Mathematics
1 answer:
Karolina [17]2 years ago
7 0

Answer:

378 ft²

Step-by-step explanation:

Given:

The Width of the wall = 28'

The Length of the wall = 10'

The Height of the gable = 7'

Now, the width of the gable will be equal to the width of the wall = 28'

therefore,

Area of the wall = Area of the rectangle section of wall + area of the gable

Total area of the wall = ( 28' × 10' ) + ( \frac{1}{2}\times28'\times7')

or

Total area of the wall = 280 + 98 = 378 ft²

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In a certain sequence of numbers, each term after the first is found by doubling and then adding $3$ to the previous term. If th
Rufina [12.5K]
We know that
an=[a(n-1)]*2+3
if a7=125 
a) Find a1

step 1
find a6
a7=a6*2+3--------> a6=(a7-3)/2-----> a6=(125-3)/2----> a6=61

step 2
find a5
a6=a5*2+3--------> a5=(a6-3)/2-----> a5=(61-3)/2----> a5=29

step 3
find a4
a5=a4*2+3--------> a4=(a5-3)/2-----> a4=(29-3)/2----> a4=13

step 4
find a3
a4=a3*2+3--------> a3=(a4-3)/2-----> a3=(13-3)/2----> a3=5

step 5
find a2
a3=a2*2+3--------> a2=(a3-3)/2-----> a2=(5-3)/2----> a2=1

step 6
find a1
a2=a1*2+3--------> a1=(a2-3)/2-----> a1=(1-3)/2----> a1=-1

the answer is
a1=-1




5 0
3 years ago
Work out the percentage change when a price of £20 is increased to £50
Verdich [7]

Answer:

it is 250 percent increase

Step-by-step explanation:

it is cuz if you multiply 20 times 2 you get 40 but you need 50 so you say ok well half of 20 is ten so add a 50 percent in there if it makes sense

8 0
2 years ago
SOMEONE PLS HELP ILL MARK BRAINLY
Brrunno [24]

Answer:

\huge\boxed{\text{Solution A: 32 ounces}}

\huge\boxed{\text{Solution B: 8 ounces}}

Step-by-step explanation:

In order to solve this problem, let's first understand what the question is asking.

If we combine Solution A (with 35% salt) and Solution B (with 85% salt), our goal is to create a 40 ounce mixture with 45% salt.

Let's model an equation for this, assuming that a is the amount of ounces of Solution A and b is the amount of ounces of Solution B.

0.35a+0.85b= 40 \cdot 0.45

<em>Why?</em> Since 35% of a number is the same as multiplying it by 0.35, we can multiple the total number of ounces by the decimal to find how many ounces of it will contain salt.

We also know that we need 40 ounces of this mixture. Therefore, adding together Solution A and B must get 40:

a+b=40

We can now solve this systems of equations.

  • 0.35a+0.85b=18  
  • 0.35a+0.85b=18 \\a+b=40
  • 0.35a+0.85b=18 \\-0.35a - 0.35b=-14  
  • 0.5b=4
  • b=8

Now that we know Solution B needs 8 ounces of mixture, we can substitute it into an equation to solve for a.

  • a+b=40
  • a+8=40
  • a=40-8
  • a=32

Therefore, we need 32 ounces of Solution A and 8 ounces of Solution B.

Hope this helped!

3 0
3 years ago
Each of the following is in business primarily to make money for investors EXCEPT:
julsineya [31]
B is the correct answer
7 0
3 years ago
Read 2 more answers
What is the answer to 8x - 6x = -18
SashulF [63]
8X - 6X = -18

2X = -18

X = -9.

Hope this helps!
5 0
3 years ago
Read 2 more answers
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