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3 years ago

Can you please help me with this question

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Answer:

It has to be 16in since 256 is obviously to much and 4 and 8 are too little

Step-by-step explanation:

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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

Find the difference. Enter your answer in lowest terms in the box below as a

lara [203]

Answer:

76/165

Step-by-step explanation:

The difference of fractions can be found using the formula ...

a/b -c/d = (ad -bc)/(bd)

<h3>Difference</h3>

Using the given values in the formula, we have ...

$\dfrac{8}{11}-\dfrac{4}{15}=\dfrac{8(15)-11(4)}{11\cdot15}=\dfrac{120-44}{165}=\boxed{\dfrac{76}{165}}$

Here, the difference fraction does not need to be reduced. Many calculators and spreadsheets can do this arithmetic for you.

The above formula can also be used for sums of fractions. In that case, the sign changes from minus to plus.

7 0

2 years ago

Plz help its due tonight <br><br> thanks a lot

kicyunya [14]

$x + y = 14 \\ 340x + 1030y = 8210$
$x = 14 - y$
Substitute into
$340(14 - y) + 1030y = 8210 \\ 4760 - 340y + 1030y = 8210 \\ 690y = 3450 \\ y = 5$
Insert y = 5 into
$x = 14 - 5 \\ x = 9$
Answer: 9 coach tickets, 5 first class tickets.

Hope this helps.

7 0

4 years ago

In a certain region of the country, the proportion of the population with blue eyes is currently 17 percent. A random sample of

lana66690 [7]

Answer:

0.17

Step-by-step explanation:

The mean of a random sample is equal to the mean of the population.

7 0

4 years ago

A kid’s bicycle costs $110.00 at a department store, who is offering a 15% off coupon. Determine the final price of the bike aft

iVinArrow [24]

Answer:

103.125

Step-by-step explanation:

110.00 times 15% = 16.5

16.5 times 6.25% = 103.125

Answer - 103.125

5 0

3 years ago

Read 2 more answers