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3 years ago

Find the surface area of the prism or pyramid. Round to the nearest hundredth if necessary.

Mathematics

2 answers:

kumpel [21]3 years ago

4 0

Answer: 166

Step-by-step explanation:

SA=2lw+2lh+2wh

l=4 w=7 h=5

SA=2(4)(7)+2(4)(5)+2(7)(5)

SA=2(28)+2(20)+2(35)

SA=56+40+70

SA=166

s2008m [1.1K]3 years ago

4 0

The correct answer is that the surface area of the prism is 166.

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Write a linear equation that passes through the point (2,-9) and has a slope of -5

Doss [256]

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

3 0

3 years ago

I’m confuse plz help

Ad libitum [116K]

Answer:

As in an equilateral triangle all sides are equal so 9+3x = 5x-5

9+3x = 5x-5

9+5 = 5x-3x

14 = 2x

14/2 = x

7= x

So,As we know that x is 15 so we can substitute the values 9+3x or 5x-5

9+3x

=9+3*7

=30

So, one side of the triangle = 30

Perimeter of an equilateral triangle = 3*side

=3*30 = 90

So, perimeter of the equilateral triangle = 90

6 0

3 years ago

How to find 62%of $400

gayaneshka [121]

Answer:

248

Step-by-step explanation:

Solution for What is 400 percent of 62:

400 percent *62 =

(400:100)*62 =

(400*62):100 =

24800:100 = 248

Now we have: 400 percent of 62 = 248

Question: What is 400 percent of 62?

Percentage solution with steps:

Step 1: Our output value is 62.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$62=100\%.

Step 4: Similarly, x=400\%.

Step 5: This results in a pair of simple equations:

62=100\%(1).

x=400\%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

\frac{62}{x}=\frac{100\%}{400\%}

Step 7: Again, the reciprocal of both sides gives

\frac{x}{62}=\frac{400}{100}

\Rightarrow x=248

Therefore, 400 of 62 is 248

5 0

3 years ago

Read 2 more answers

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

A coin, having probability p of landing heads, is continually flipped until at least one head and one tail have been flipped. (a

Natali [406]

Answer:

(a)

The probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

Step-by-step explanation:

(a)

Case 1

Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

$p^4 (1-p)$

Case 2

Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

$(1-p)^4p$

Therefore the probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

7 0

3 years ago