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barxatty [35]
3 years ago
14

What is the area of a triangle whose vertices are R(−4,2) , S(1,2) , and T(−5,−4)?

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Fisrt is solve the distance of the segments using distance formula

Distance =sqroot[(x2−x1)^2+(y2−y1)^2]

So ditance of RS = 5

ST = 8.49

TR =6.08

The using herons formula

Area = sqrt ( s ( s-a) ( s-b) ( s-c) )

Where s s = 1/2 ( a + b + c )

And a, b , c are length of the sides

S = 9.785

Area = 14.99

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Please help me I’m stuck!!!
Klio2033 [76]

Answer:

The point (0, 6.7) is the point where the ball was launched.

Step-by-step explanation:

The ball was launched from a point 6.7 feet from ground level.

In this scenario (ball tossed toward the goal), the constant  c  at the end of the function formula gives you the initial position (height).

5 0
3 years ago
Dmitri wants to cover the top and sides of the box shown with glass tiles that are 5mm square. How many tiles does he need? ( Th
ycow [4]

Answer:

372

Step-by-step explanation:

We are given that the dimensions of the box are,

Length = 15 cm, Width = 20 cm and Height = 9 cm.

We know that the box represents a cuboid.

Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H

Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9

i.e. Surface area = 300 + 270 + 360

i.e. Surface area = 930.

Thus, the surface area of the box is 930 cm² i.e. 9300 mm².

Further, the sides of the tiles are 5 mm and the tile represents a square.

So, the surface area of the tile = 5 × 5 = 25 mm².

This gives us that,

Number of tiles required to cover the box = \frac{9300}{25} = 372.

Hence, Dmitri requires 372 tiles to cover the box.

5 0
3 years ago
Read 2 more answers
Number 5 am stuck pls help
Norma-Jean [14]

Answer:

im going to be honest i havent done this since las year and so i dont remember the value of that line outside but i think its 70*

Step-by-step explanation:

reason is because the c is originally 180* but it has more of and angle so the angles obv increases and you can get the angle by multiplying 70*times 7x and divide by 3

i say 3 because of the amount of angles in a triangle and the line outside if i remember correctly is the "angles" of a triangle  and that would be your answer

4 0
3 years ago
Use matrices to write the equation of the function in the form y = mx + b that contains the points
Fofino [41]

The line has a slope of -6 and a y intercept of 7.

The linear equation is given by:

y = mx + b;

where m is the slope of the line, b is the y intercept, y, x are variables.

The equation of the line passing through the points (6.-29) and (-4,31) is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-29)=\frac{31-(-29)}{-4-6}(x-6)\\\\y+29=-6(x-6)\\\\y=-6x+7

Hence the line has a slope of -6 and a y intercept of 7.

Find out more at: brainly.com/question/13911928

3 0
2 years ago
A mathematics journal has accepted 14 articles for publication. However, due to budgetary restraints only 7 articles can be publ
butalik [34]
The total number of articles is 14 and only 7 can be published. Since what is asked is the ways to assemble the 7 articles, this is a permutation problem.
14P7 = <span>17297280 ways
If order is not of concern, the problem is just a combination problem
14C7 = </span><span>3432 ways</span><span />
7 0
4 years ago
Read 2 more answers
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