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3 years ago

Geometry help needed Use O for exercises 6-8 6. what is the perimeter of triangle abc

Mathematics

1 answer:

iris [78.8K]3 years ago

6 0

Perimeter of triangle ABC is 20 units.

Solution:

The image for reference is attached below.

Given AE = 2, BD = 5 and CF = 3

Two tangents drawn from an external point to a circle are equal in length.

AD = AE, BF = BD and CE = CF

Therefore, AD = 2, BF = 5 and CE = 3

Perimeter of the triangle = sum of the three sides

Perimeter of triangle ABC = AB + BC + CA

= AD + BD + BF + CF + CE + AE

= 2 + 5 + 5 + 3 + 3 + 2

= 20

Hence, perimeter of triangle ABC is 20 units.

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Find the exact value of the given expression. sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

4 0

3 years ago

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 45 mushroom pizzas and 30 pepperoni pizzas. W

alukav5142 [94]

Answer: 60%

Step-by-step explanation:

45+30=75=100%

75/10=7.5=10%

7.5*6=45=60%

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3 years ago

Least to greatest 4.397, 4.4, 4.38

Luba_88 [7]

Answer:

4.38, 4.397, 4.4 is the order from least to greatest.

8 0

3 years ago

PLEASE HELP ME WITH THIS ONE

vampirchik [111]

What its this you are working on

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3 years ago

Margo paid $550.00 for dance classes. She paid a $50.00 registration fee and $25.00 for each week she was enrolled in the classe

trapecia [35]

Answer:

She enrolled in the dance classes for 20 weeks

Step-by-step explanation:

* Margo paid $550.00 for dance classes

* She paid a $50.00 registration fee

* She paid $25.00 for each week she was enrolled in the classes

* We need to find the number of weeks w she enrolled in the

dance classes

Lets write an equation of these information and solve it

∵ The registration fee = $50

∵ The cost of of each week = $25

∵ The number of weeks = w

She will pay $50 plus $25 times the number of the weeks

∴ She paid in the dance classes = 50 + 25 w

∵ She paid $550 for the dance classes

∴ 50 + 25 w = 550

The equation is 50 + 25 w = 550

Lets solve the equation

∵ 50 + 25 w = 550

Subtract 50 from both sides

∴ 25 w = 500

Divide both sides by 25

∴ w = 20

∵ w represents the number of the weeks

∵ w = 20 weeks

She enrolled in the dance classes for 20 weeks

5 0

3 years ago