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3 years ago

How do you calculate the area of triangle DEF?

Mathematics

2 answers:

cricket20 [7]3 years ago

8 0

First you need to solve for angle F then you can use 1/2acSinB. If you haven't done this you can also use the Pythagoras theorem and solve for the unknown side once you do that you can just use 1/2 b*h

Kazeer [188]3 years ago

4 0

Area equals 1/2 ( base times height )

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A dartboard has 20 equally divided wedges and you are awarded the number of points in the section of your dark lands in if you a

Leto [7]

Answer:

$Pr =0.75$

Step-by-step explanation:

Given

See attachment for wedge

Required

$P(x > 5)$

The sample space of the wedge is:

$S = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}$

$n(S) = 20$

The outcomes greater than 5 are:

$x > 5 = \{6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}$

$n(x>5) =15$

So, the probability is:

$Pr =\frac{(n(x>5)}{n(S)}$

This gives:

$Pr =\frac{15}{20}$

$Pr =0.75$

6 0

3 years ago

addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum

bulgar [2K]

The maximum distance is the diameter of the circle, which is of 44 units.

The equation of a circle of radius r and center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

The diameter is twice the radius, and is the maximum distance between two points inside a circle.

In this problem, the circular path is modeled by:

$x^2 + y^2 - 10x - 18y - 378 = 0$

We complete the squares to place it in the standard format, thus:

$x^2 - 10x + y^2 - 18y = 378$

$(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81$

$(x - 5)^2 + (y - 9)^2 = 484$

Thus, the radius is:

$r^2 = 484 \rightarrow r = \sqrt{484} = 22$

Then, the diameter is:

$d = 2r = 2(22) = 44$

The maximum distance is the diameter of the circle, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0

2 years ago

Use the appropriate property of determinants to find a.a. do not evaluate the determinants.

yan [13]

Bunininonucyvunijojko

3 0

2 years ago

Solve each equation x-6=8

jok3333 [9.3K]

Equation is
x-6=8
x=8+6
x=14
X equal to 14

8 0

3 years ago

Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?

ELEN [110]

Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

8 0

2 years ago