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omeli [17]
3 years ago
9

FAST PLEASE

Mathematics
2 answers:
Komok [63]3 years ago
8 0

Answer:

A ≈ 208.28

Step-by-step explanation:

A ≈ 208.28

a Base side 6

b Base side 9

c Base side 5

h Height         9

Now you have to use the formulas:

A = 2A_{B} + (a+b+c) h

A_{B} = √ s (s﹣a) (s﹣b) (s﹣c)

s =  \frac{a + b + c}{2}

Solving for A:

A = a h + b h + c h + \frac{1}{2}﹣√ a^{4} + 2(ab)^{2} +  2(ac)^{2} ﹣ b^{4} + 2(bc)^{2}﹣c^{4}

= 6 · 9 + 9 · 9 + 5 · 9 + \frac{1}{2} · √﹣6^{4\\} + 2 · (6*9)^{2} + 2 · (6*5)^{2}﹣9^{4} + 2 · (9*5)^{2} ﹣5^{4}

≈ 208.28427

Bas_tet [7]3 years ago
3 0

Answer:

SA = 169 feet

Step-by-step explanation:

<u><em>Surface Area of triangular prism = b₁h₁+2b₂h₂ + b₃h₃</em></u>

<u><em>Where b₁ is the base of triangular side(6 ft), h₁ is the height of triangular side (4 ft), b₂ is the base of rectangular side (9 ft), h₂ is the height of rectangular side(5 ft), b₃ is the base of the base(6 ft), h₃ is the height of the base(4 ft).</em></u>

SA = (6*4)+2(9*5)+(6*9)

SA = 24+90+54

SA = 169 feet

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Given the piece wise function show below, select all that are true​
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Answer:

Option (C) and (D)

Step-by-step explanation:

Given piecewise function is,

f(x) = 2x, x < 1

        5, x = 1

        x^{2}, x > 1

Option (A),

x = 5 means x > 1

So the function will be,

f(x) = x^{2}

f(5) = (5)²

     = 25

Therefore, f(5) = 1 is not correct.

Option (B),

x = -2 means x < 1

f(x) = 2x will be applicable.

f(-2) = 2(-2) = -4

Therefore, f(-2) = 4 is not correct.

Option (C)

For x = 1,

f(1) = 5

Therefore, f(1) = 5 is the correct option.

Option (D)

x = 2 means x > 1 and the function defined will be,

f(x) = x²

f(2) = 2²

     = 4

Therefore, f(2) = 4 will be the correct option.

Options (C) and (D) will be the answer.

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Questions (no partial grades if you don't show your work) 1. In a group of 6 boys and 4 girls, four children are to be selected.
mariarad [96]

Answer:

Total number of ways will be 209

Step-by-step explanation:

There are 6 boys and 4 girls in a group and 4 children are to be selected.

We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.

So the groups can be arranged as

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