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3 years ago

15

The base length of a triangle is 12 feet and the height is 6 feet. What is the area of the triangle?

2 answers:

kramer3 years ago

8 0

The formula to find the area of a triangle is:

$\sf~A=\dfrac{1}{2}bh$

Plug in what we know:

$\sf~A=\dfrac{1}{2}(12)(6)$

Multiply:

$\sf~A=\boxed{\sf36}$

Digiron [165]3 years ago

5 0

The area of a triangle is calculated by 1/2bh
$\frac{1}{2}(6)(12)$ =36 sq ft

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The wheeler's bill at a restaurant is $63.00 how much money should mr. wheeler leaves as a tip if he plans to tip 15%?

lbvjy [14]

$9.45 as a tip
63/100x15=9.45

7 0

3 years ago

Read 2 more answers

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i

Scorpion4ik [409]

Answer:

a) We need a sample size of at least 3109.

b) We need a sample size of at least 4145.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) he uses a previous estimate of 25%?

we need a sample of size at least n.

n is found when $M = 0.02, \pi = 0.25$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.25*0.75}}{0.02})^{2}$

$n = 3108.1$

We need a sample size of at least 3109.

(b) he does not use any prior estimates?

When we do not use any prior estimate, we use $\pi = 0.5$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{2.575\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 4144.1$

Rounding up

We need a sample size of at least 4145.

8 0

4 years ago

Evaluate 6 - 2(-1) + | -5 |

malfutka [58]

Answer:

13

Step-by-step explanation:

6 - 2(-1) + | -5 |

The absolute value means take the non-negative value

6 - 2(-1) + 5

Multiply

6 +2 + 5

Add

8+5

13

6 0

3 years ago

(2, –2), slope is 1.4

DaniilM [7]

y = 1.4x - 4.8

the equation of a line in ' slope - intercept form ' is

y = mx + c ( m is the slope and c the y- intercept )

the partial equation is y = 1.4x + c

to find c, substitute (2, - 2) into the partial equation

- 2 = 2.8 + c ⇒ c = - 2 - 2.8 = - 4.8

y = 1.4x - 4.8 is the equation in slope- intercept form

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3 years ago

Express the -0.345 in the form of p\q and reduce it to the lowest term

Mamont248 [21]

Answer:

-69/200

Step-by-step explanation:

-0.345 is in decimal form.

In Fractional form (p/q)

=-345/1000

To simplify, divide the numerator and the denominator by the G.C.D(Greatest Common Divisor) of p and q.

In this case,G.C.D of 345 and 1000 is 5.

Simplified form=-69/200 [ANS]

3 0

4 years ago