Answer
33
Step-by-step explanation:
11 of the faces is a square.
\begin{aligned} \text{Area of a square} &= \text{side} \cdot \text{side}\\\\ &= 3 \cdot 3\\\\ &= {\blueD{9}} \\\\ \end{aligned}
Area of a square
=side⋅side
=3⋅3
=9
Hint #22 / 4
444 of the faces are triangles. Each triangle has the same base and height.
\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac12 \cdot 3 \cdot 4\\\\ &= 6 \\\\ \end{aligned}
Area of a triangle
=
2
1
⋅base⋅height
=
2
1
⋅3⋅4
=6
The total area of these 444 triangles is 4 \cdot 6 = \greenD{24}4⋅6=244, dot, 6, equals, start color #1fab54, 24, end color #1fab54.
Hint #33 / 4
Let's add the areas we found to find the surface area.
\begin{aligned} \text{Surface area} &= \blueD{9}+ \greenD{24}\\\\ &= 33\\\\ \end{aligned}
Surface area
=9+24
=33
Hint #44 / 4
The surface area of this square pyramid is 333333 units^2
2
squared.
9514 1404 393
Answer:
3
Step-by-step explanation:
You can use your number sense to realize that 8/9 is between 3/4 and 1, so Tyrone can only get 3 whole pieces from his string.
__
If you like, you can do the division ...
(8/9)/(1/4) = (8/9)(4/1) = 32/9 = 3 5/9 . . . . . 3 whole pieces
Or, you can compare decimal values.
1 piece = 0.25 ft
2 pieces = 0.50 ft
3 pieces = 0.75 ft
4 pieces = 1.00 ft
String length = 0.888.... ft (more than 3; less than 4 pieces)
Answer:
-2b/(a-b)
Step-by-step explanation:
1− (a+b/a−b)
We need to get a common denominator of a-b
1 = (a-b)/(a-b)
Replace 1 with (a-b)/(a-b)
(a-b)/(a-b) - (a+b)/(a-b)
Put over the common denominator
(a-b) - (a+b)
-----------------
(a-b)
Distribute the minus sign.
(a-b) - a-b)
-----------------
(a-b)
a-a-b-b
---------------
a-b
-2b
----------
a-b
Answer:
Ok:
Step-by-step explanation:
So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:
if f(x) = 2x+2
and g(x) = 
f(g(x)) = 
.
Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.
Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.
And we plug in -2 to solve:
2(3(-2)-2)-3.
and get -19.
Check if I am wrong because everyone makes mistakes but that is the way to solve this.
Answer:
B. 26,606.63
Step-by-step explanation:
The area of Gateway National Recreation Area is about twenty-six thousand, six hundred six and sixty-three hundredths. Which shows this number in standard form? A. 26,606.3 B. 26,606.63
C. 26,660.63 D. 26,666.3
Solution
Break down and writing in numerals of twenty-six thousand, six hundred six and sixty-three hundredths.
Twenty six thousand = 26,000
Six hundred six = 606
Sixty - three hundredth = 0.63
Adding
26,000 + 606 + 0.63
We have
26,606.63
The correct answer is B
