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3 years ago

8.89234x10 to5 in standard form

Mathematics

1 answer:

TiliK225 [7]3 years ago

3 0

$8.89234* 10^{5} =8.89234* 100000 =889,234 \ \textless \ -answer$
move decimal point 5 times

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4 years ago

What is the area of ABC?

Salsk061 [2.6K]

Answer:

Area of triangle ABC = 10

Option C is correct.

Step-by-step explanation:

We need to find area of triangle ABC

We are given A(2,1) B(4,7) and C(6,3)

The formula used to find $Area \ of \ triangle=\frac{1}{2}base\times height$ ABC is:

In the given triangle base= AC and height = BC

First we need to find the distance between A and C and B and C

The formula used to find distance between AC $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have $x_1=2, y_1=1, x_2=6, y_2=3$

Putting values and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}$

find distance between BC $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have $x_1=4, y_1=7, x_2=6, y_2=3$

Putting values and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}$

So, We have height = $\sqrt{20}$ and base = $\sqrt{20}$

Finding area of triangle

$Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10$

So, Area of triangle ABC = 10

Option C is correct.

7 0

3 years ago

It costs $5 to get into the state park, plus $12 per night for you to camp there. If you have a total of $137 to

Dahasolnce [82]

Answer:

11 nights

Step-by-step explanation:

Our total budget: $137

First, let's deduct the cost to enter the park.

137 - 5 = 132

We have $132 to spend on the hotel.

Since the cost is $12 per night, we need to find out how many times $12 can go into $132. This is done using division.

132 / 12 = 11

As we can see, we can pay $12 eleven times until our money runs out.

Thus, we can stay at the camp for 11 nights!

Answer: 11 nights

4 0

4 years ago

16 + -3 - 5/7j - 6/7j + 4

Flura [38]

Answer:

17-11j/7

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In a symphony orchestra, there are 2 vacancies for cellists only, 4 vacancies for violinists only and 4 vacancies for any of the

matrenka [14]

Answer:

123480

Step-by-step explanation:

We have to choose:

2 cellists from 8 cellists;
4 violonists from 7 violonists;
4 cellists or violonists from 9 remaining musicians (8-2=6 - cellists left, 7-4=3 - violonists left, 6+3=9 - left musicians in total)

1. 2 cellists from 8 can be chosen in

$C_8^2=\dfrac{8!}{2!(8-2)!}=\dfrac{8!}{2!6!}=\dfrac{6!\cdot 7\cdot 8}{2\cdot 6!}=28$

different ways.

2. 4 violonists from 7 can be chosen in

$C_7^4=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!3!}=\dfrac{4!\cdot 5\cdot 6\cdot 7}{4!\cdot 2\cdot 3}=35$

different ways.

3. 4 musicians from 9 can be chosen in

$C_9^4=\dfrac{9!}{4!(9-4)!}=\dfrac{9!}{4!5!}=\dfrac{5!\cdot 6\cdot 7\cdot 8\cdot 9}{5!\cdot 2\cdot 3\cdot 4}=126$

different ways.

In total, there are $28\cdot 35\cdot 126=123480$ differnt ways to fill all vacancies.

7 0

3 years ago