Answer:
![264\ cm^{2}](https://tex.z-dn.net/?f=264%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces
![LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}](https://tex.z-dn.net/?f=LA%3D4%28%5Cfrac%7B1%7D%7B2%7D%286%29%287%29%29%3D84%5C%20cm%5E%7B2%7D)
step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height
![LA=(4)(6)(6)=144\ cm^{2}](https://tex.z-dn.net/?f=LA%3D%284%29%286%29%286%29%3D144%5C%20cm%5E%7B2%7D)
step 3
Find the area of the base of the rectangular prism
![B=(6)(6)=36\ cm^{2}](https://tex.z-dn.net/?f=B%3D%286%29%286%29%3D36%5C%20cm%5E%7B2%7D)
step 4
Find the surface area
![84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}](https://tex.z-dn.net/?f=84%5C%20cm%5E%7B2%7D%2B144%5C%20cm%5E%7B2%7D%2B36%5C%20cm%5E%7B2%7D%3D264%5C%20cm%5E%7B2%7D)
Answer:
x>1
Step-by-step explanation:
move the constant to the right side and change its sign 7x>10-3
Then subtract the numbers 7x>7
Then divide the inequality by 7 from for both sides.
x>1
Answer:
Step-by-step explanation:
You need to first put the numbers in suitable catagories
0-120
120-130
130-140
140-150
then figure out the frequency of them
0-120=4
121-130=20
131-140=2
141-150=2
then put in a graph(sry its not very good i was in a rush)
Answer:120
Step-by-step explanation:
132/11= 12
it means each 10 percent is = to 12
12*10 = 120
The exponential equation of the model is A(t) = 2583 * 0.88^t and the multiplier means that the number of new cases in a week is 88% of the previous week
<h3>The function that models the data</h3>
The given parameters are:
New, A(t) = 2000
Rate, r = 12%
The function is represented as:
A(t) = A * (1 - r)^t
So, we have:
2000 = A * (1 - 12%)^t
This gives
2000 = A * (0.88)^t
2 weeks ago implies that;
t = 2
So, we have:
2000 = A * 0.88^2
Evaluate
2000 = A * 0.7744
Divide by 0.7744
A = 2583
Substitute A = 2583 in A(t) = A * 0.88^t
A(t) = 2583 * 0.88^t
Hence, the exponential equation of the model is A(t) = 2583 * 0.88^t
<h3>The interpretation of the multiplier</h3>
In this case, the multiplier is 88% or 0.88
This means that the number of new cases in a week is 88% of the previous week
Read more about exponential equation at
brainly.com/question/2456547
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