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2 years ago

BLK = (congruent) ACK

Mathematics

1 answer:

Evgen [1.6K]2 years ago

5 0

AAA

two alternate angle

one is vertically opposite angle

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Determine measurements of data for the following numbers:

Leno4ka [110]

Answer: mean=87, median=87.5 and range=18

Step-by-step explanation:

Mean:

First add all the numbers

78+95+77+92+87+79+94+86+88+94 = 870

Then you divide the answer by counting the numbers

870÷10

=87

Median:

First arrange the numbers in ascending order (from smallest to largest)

77, 78, 79, 86, 87, 88, 92, 94, 94, 95

pick the two middle numbers which is 87 and 88

then you do $\frac{87+88}{2}$

= 175÷2

= 87.5

range = Largest number - smallest number

= 95-77

= 18

8 0

2 years ago

doors for the small cabinet are 12.5 inches long. Doors for the large cabinet are 2.5 times as long as the doors from the small

Firlakuza [10]

Large cab doors= 12.5x2.5= 31.25in

1feet = 12in

12feet X 12 = 144in board

144 / 31.25 = 4.608

4 large doors can be cut

19in left over

4 0

2 years ago

Halp me pls..<br> !!!!<br><br><br> :D I will be happy

pochemuha

The probability of multiple events happening is found by multiplying the probabilities of each event together.

$P_{d+even\ number}=P_{d}*P_{even}\\\\P_{d}=\frac{number\ of\ events}{total\ number\ of\ events}=\frac{(d)}{a,\ b,\ c,\ d,\ e)}=\frac{1}{5}\\\\P_{even}=\frac{number\ of\ events}{total\ number\ of\ events}=\frac{(2,\ 4,\ 6)}{(1,\ 2,\ 3,\ 4,\ 5,\ 6)}=\frac{3}{6}=\frac{1}{2}\\\\\frac{1}{5}*\frac{1}{2}=\boxed{\frac{1}{10}}$

So yes, 1/10 is the answer :)

5 0

3 years ago

An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0

7 months ago

7/12% of a quantity is equal to what fraction of the quantity?

serg [7]

Answer:

12 = 22 × 3

Step-by-step explanation:

7 0

3 years ago