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4 years ago

10

A square pyramid has a surface area of 175 square inches. the square base has side lengths of 5 inches. find the slant height of

the pyramid
Please help me with this problem

1 answer:

murzikaleks [220]4 years ago

6 0

4k 4 4 or my dhmxd.uu.cdul,dyulf

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In a cafeteria,

____ [38]

Answer:

2 students

Step-by-step explanation:

First, you find the number of students eating either salads and sandwiches. Then, you add the number of students eating salads and sandwiches together. Finally, you will subtract that number from the 12 total students

<h3>2/3 * 12/1 = 8 (sandwiches)</h3><h3>1/6 * 12/1 = 2 (salads)</h3><h3>8 + 2 = 10 (combined)</h3><h3>12 - 10 = 2 students</h3><h3 />

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3 years ago

Make x the subject of y=alog(5x)

Bond [772]

Answer:

x = 0.2(10^y/a).

Step-by-step explanation:

y = alog(5x)

y = log(5x)^a) By the definition of a log:

(5x)^a = 10^y

5x = (10^y) ^ 1/a

x = 0.2(10^y/a)

4 0

3 years ago

Solve 2x2 + 12x - 14 = 0 by completing the square

vovangra [49]

Answer:

<h2>x = -7 or x = 1</h2>

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\2x^2+12x-14=0\qquad\text{divide both sides by 2}\\\\x^2+6x-7=0\qquad\text{add 7 to both sides}\\\\x^2+2(x)(3)=7\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=7+9\\\\(x+3)^2=16\Rightarrow x+3=\pm\sqrt{16}\\\\x+3=-4\ or\ x+3=4\qquad\text{subtract 3 from both sides}\\\\x=-7\ or\ x=1$

5 0

4 years ago

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 17 minute

Arturiano [62]

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X $\sim$ uniform(3.17)

$f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17$

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

$P(X > 5) = \int ^{17}_{5} f(x) \ dx$

$P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx$

$P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}$

$P(X > 5) =\dfrac{1}{14} [17-5]$

$P(X > 5) =\dfrac{12}{14}$

P(X>5) = 0.857

6 0

3 years ago

What are the prime factors of 625?

labwork [276]

625 = 125 · 5 = 25 · 5 · 5 = 5 · 5 · 5 · 5 = 5⁴

7 0

3 years ago