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s344n2d4d5 [400]

2 years ago

9

Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengt

hs of 2.4 feet and a height of 3.4 feet. Find the percentage of the amount of paint she would use to paint all but the bottom surface of the prism to the amount she would use to paint the entire prism. Round to the nearest tenth.

1 answer:

Brrunno [24]2 years ago

3 0

The top and bottom have area (2.4 ft)² = 5.76 ft².

The sides have area (4*2.4 ft)*(3.4 ft) = 32.64 ft².

The the total area is (2*5.76 +32.64) ft² = 44.16 ft². All but the bottom area is then 44.16 ft² -5.76 ft² = 38.40 ft².

The ratio (all but bottom area)/(total area) is then
38.40/44.16 ≈ 87.0%

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5. Find the 34th term in the arithmetic sequence 9, 6, 3, <br> A. 90<br> B. -90<br> C.-57<br> D. 108

mafiozo [28]

Answer:

B. -90

Step-by-step explanation:

a1=9; d=-3

a34=9-3(33-1)=-90

8 0

2 years ago

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

2 years ago

Jake asked 25 students in his class how close they live to school .the frecuencia table shows the results

Oliga [24]

That's great so what the question

7 0

3 years ago

Kaylah's family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Lady_Fox [76]

Answer:

b) 50

Step-by-step explanation:

you can multiply all of the answers by .7 (70% converted into a decimal) to see which one matches 35 miles.

24.5(.7) = 17.15 INCORRECT

50(.7) = 35 CORRECT

59.5(.7) = 41.65 INCORRECT

200(.7) = 140 INCORRECT

8 0

2 years ago

Read 2 more answers

For some event A, what does it mean if P(A)= 0.84?

Aleksandr [31]

Answer:

The probability of A happening is 84 percent

3 0

2 years ago