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3 years ago

Please help me with this one

Mathematics

2 answers:

Zina [86]3 years ago

8 0

$\huge\boxed{\mathfrak{Answer}}$

$l = 5 \: cm \\ w = 2 \: cm \\ h = 7 \: cm$

The formula to find SA => 2lh + 2lw + 2hw

$SA => 2lh + 2lw + 2hw \\ = 2 \times 5 \times 7 + 2 \times 5 \times 2 + 2 \times 7 \times 2 \\ = 70 + 20 + 28 \\ = 118 \: \: cm {}^{2}$

=> The surface area of the rectangular prism is 118 cm².

Alex73 [517]3 years ago

3 0

Answer:

2×5×7+2×5×2+2×7×2

70+20+28

108cm^2

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Step-by-step explanation:

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Given: circle k(O) m∠R = (12x+1)mFP = (11x+7) mPQ= 60Find: mFP

zhannawk [14.2K]

Answer:

62°

Step-by-step explanation:

The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:

m∠R = mFQ / 2

The arc FQ is the sum of the arcs FP and PQ, so we have:

mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67

Now, with the first equation, we have:

12x + 1 = (11x + 67) / 2

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3 years ago

What are the real zeros of x^3+4x^2-9x-36

Katyanochek1 [597]

Answer:

$x = -4\\x = -3\\x = 3$

Step-by-step explanation:

To find the real zeros you must match the function to zero and factor the expression.

We have a polynomial of degree 3.

We try to group the terms to perform the factorization

$x ^ 3 + 4x ^ 2-9x-36 = 0\\\\x ^ 2(x + 4) - 9(x + 4) = 0$

Now we take (x + 4) as a common factor

$(x + 4)(x ^ 2 -9) = 0$

If we have an expression of the form $(a ^ 2-b ^ 2)$ we know that this expression is equivalent to:

$(a ^ 2-b ^ 2) = (a + b)(a-b)$

In this case

$a = x\\b = 3$

So:

$(x ^ 2 -9) = (x + 3)(x-3)$

Finally:

$x ^ 3 + 4x ^ 2-9x-36 = (x + 4)(x + 3)(x-3) = 0$

The solutions are:

$x = -4\\x = -3\\x = 3$

6 0

3 years ago

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p

sveticcg [70]

Answer:

Part 1: 25x ≥ 600

Part 2: 15y ≥ 600

Part 3: y ≤ 40

Explanation:

Verbal statements must be translated into algebraic expressions, equations or inequalities.

1. Money earned by Jamie washing cars for $25 each

Let x represent the number of cars Jaime washes.

2. Money earned by Stella making pecan pies for $15 each

Let y represent the number of pies she makes

3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies.

Write an inequality using the symbol ≤, since y can take any integer value up to 40.

y ≤ 40

4. First question:

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip

25x ≥ 600

5. Second question:

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

15y ≥ 600

6. Third question

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

From step # 3

y ≤ 40

7. Conclusion

You can solve the inequalities fo find whether Stella can or not afford the trip:

Solve for the inequalities that represent Stella's situation:

15y ≥ 600

y ≥ 600 / 15

y ≥ 40

From step 6: y ≤ 40

The solution set is the intersection of the two solutions:

y ≥ 40 ∩ y ≤ = 40 = 40.

Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.

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3 years ago