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4 years ago

A rectangle has vertices A(2,6), b(2,9), c(7,9), d(7,6). what is the perimeter of the rectangle?

Mathematics

1 answer:

Yuri [45]4 years ago

6 0

Answer

The Perimeter is 20.

Step-by-step explanation:

side AB=3

side BC=7

side CD=3

side DA=7

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You measure the lifetime of a random sample of 64 tires of a certain brand. The sample mean is x¯=50 months. Suppose that the li

Anni [7]

Answer:

(48.3875, 51.6125)

Step-by-step explanation:

At 99% level of significance

$\alpha=1-0.99=0.01$

$Z_{a\lpha /2}=0.01/2=0.005$

From the normal standard deviation table $Z_{a\lpha /2}=2.33$

Considering that

$\bar x$ ± $Z_{a\lpha /2} \frac {\sigma}{\sqrt{n}}$ =50± $2.33\frac {5}{\sqrt {64}}$

50±2.33(0.625)=50±1.6125=(48.3875, 51.6125)

Therefore, there’s 99% confidence that the mean lifetime of a certain brand of tires is between 48.3875 and 51.6125

3 0

3 years ago

Kenny likes to count his money by tiling it on his table as shown. The diameter of a quarter is 24.26 mm. Find the area of the t

ElenaW [278]

First we have to assume that each quarter touched each other. Hence the area of the table not covered by the coins (A) is equal to the total area of the table (At) minus the total area of the coins (Ac). Coins are circle, so $A = \pi r^{2}$ and r =24.26mm. The area of one coin is then 1848.98mm^2. Hence the equation is A = At - xAc where x is the number of coins.

5 0

3 years ago

Okay posted the next question. Thank you for the help!

mart [117]

4 is supplementary to 5

5 0

3 years ago

Read 2 more answers

What is the area of the kite? 135 m2 108 m2 90 m2

Virty [35]

Answer:

Step-by-step explanation:

135 m2

7 0

4 years ago

4. Han's younger sister is riding her tricycle in a straight line. After 3 s, her speed is 0.5 m/s. After 5 s, her speed is 1.5

liberstina [14]

Answer:

Han's younger sister accelerated at a rate of 0.5 meters per square second during that time.

Step-by-step explanation:

Let suppose that Han's younger sister accelerates at constant rate, then, acceleration ( $a$ ), measured in meters per square second, can be calculated by the following equation:

$a = \frac{v_{f}-v_{o}}{t_{f}-t_{o}}$

Where:

$t_{o}$ , $t_{f}$ - Initial and final times, measured in seconds.

$v_{o}$ , $v_{f}$ - Initial and final speeds, measured in meters per second.

If we know that $t_{o} = 3\,s$ , $t_{f} = 5\,s$ , $v_{o} = 0.5\,\frac{m}{s}$ and $v_{f} = 1.5\,\frac{m}{s}$ , the acceleration of the younger sister is:

$a = \frac{1.5\,\frac{m}{s}-0.5\,\frac{m}{s} }{5\,s-3\,s}$

$a = 0.5\,\frac{m}{s^{2}}$

Han's younger sister accelerated at a rate of 0.5 meters per square second during that time.

3 0

3 years ago