Answer:
1,395 sq feet
Step-by-step explanation:
lets start with the area of the green cube b×h. 15×15=225. 225×5= 1125. I got five because there are 5 visible faces on the cube. to find the area of a triangle you use the formula 1/2 bh 9×15= 135 multiply that by 2 instead of one half because you have four triangular faces. add your areas together and you get 1395
Answer and Step-by-step explanation:
The way you complete this is by taking each points x and y and applying the translation. In this case the translation is x-7 and y+1.
Q's x and y are 1 , 1
R's x and y are 1 , 5
T's x and y are 5 , 1
S's x and y are 5 , 5
Now what you do is use the translation on all of these values.
Q's x and y turns into -6 , 2 (subtracted 7 to the 1 and added 1 to the 1)
R's x and y turns into -6 , 6
T's x and y are -2 , 2
S's x and y are -2 , 6
You can then plot the points on the graph and connect the lines to complete the reflection.
Hope this helps ! !
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<h2>
Answer:</h2><h2>
The 97th term in the series is 409</h2>
Step-by-step explanation:
The given sequence is 25, 29, 33, ....
The sequence represents arithmetic progression
In an AP, the first term is a1 = 25
The difference between two terms, d = 29 - 25 = 4
To find the 97th term,
By formula,
Substituting the values in the above equation, we get
= 25 + (96 * 4)
= 25 + 384
= 409
The 97 th term in the given sequence is 409.
Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212