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2 years ago

What is the area of the triangle?

Mathematics

2 answers:

lesantik [10]2 years ago

8 0

Answer:

18 units²

Step-by-step explanation:

there are two ways to calculate the required area.

way 1.

the length of the side AB=7+2=9; the length of CD is 6-2=4 (note, CD⊥AC), then the required area is:

A=9*4/2=18.

way 2.

the coordinates of the vector AB=(0;-9), of vector AC=(4;-3).

The required area can be calculated using the formula: A=0.5*[ABxAC].

$|A|=|\frac{1}{2}*\left[\begin{array}{ccc}0&-9\\4&-3\\\end{array}\right]|=|(-36):2|=18.$

Alexandra [31]2 years ago

7 0

Answer:

.............hope it helps.......

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Estimates show that there are 1.4x10^8 pet fish and 9.4x10^6 pet reptiles in the United States. How many pet fish and reptile pe

azamat

Answer:

There are total number of pet fish and reptile pets are $1.49\times 10^8$ .

Step-by-step explanation:

Number of pet fish are $1.4\times 10^8$ and the number of pet reptiles are $9.4\times 10^6$ .

It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :

$T=1.4\times10^{8}+9.4\times10^{6}\\\\T=149400000\\\\T=1.49\times 10^8$

So, there are total number of pet fish and reptile pets are $1.49\times 10^8$ .

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3 years ago

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion ring

andre [41]

Answer:

The number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

Step-by-step explanation:

Given:

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion rings and sliders has a total of 5 onion rings and sliders altogether and contains 695 calories.

Now, to find the number of onion rings in the combination meal and the number of sliders in the combination meal.

Let the number of onion rings in the combination meal be $x.$

And let the number of sliders in the combination meal be $y.$

So, the total number of onion rings and sliders are:

$x+y=5\\\\y=5-x\ \ \ .....(1)$

Now, the total number of calories each onion rings and sliders has:

$x(65)+y(250)=695$

Substituting the value of $y$ from equation (1) we get:

$x(65)+(5-x)(250)=695\\\\65x+1250-250x=695\\\\1250-185x=695$

Subtracting both sides by 1250 we get:

$-185x=-555$

Dividing both sides by -185 we get:

$x=3.$

The number of onion rings in the combination meal = 3.

Now, substituting the value of $x$ in equation (1) we get:

$y=5-x\\\\y=5-3\\\\y=2.$

The number of sliders in the combination meal = 2.

Hence, the number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

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3 years ago

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Nimfa-mama [501]

Answer:

The selling price of the tea set should be: The selling price of the tea set is $2170

$1400 x . 55 = $770.

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3 years ago

Is the portion 15 / 3 equals 2y / 7 what number is the y in the proportion

GuDViN [60]

Answer:

y = 105 ÷ 6 = 35/2

Step-by-step explanation:

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3 years ago

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Answer:

$\huge\boxed{C)\ 12}$

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3 years ago

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