All categories

3 years ago

Please help!!!!CE is tangent to this circle, CD is a radius and ECB=48 what is BAC

Mathematics

1 answer:

den301095 [7]3 years ago

4 0

Answer:

48degrees

Step-by-step explanation:

From the circle geometry shown, traingle BDC is an isosceles triangle which shows means that their base angels are the same. Hence;

<B = <C

<CBD + <BCD + <D = 180

<BCD + <BCD + <D =180

2<BCD + <BDC = 180

Get <BCD;

<BCD+ <ECB = 90

<BCD + 48 = 90

<BCD = 90 - 48

<BCD = 42degrees

Get <BDC

2<BCD + <BDC = 180

2(42)+ <BDC = 180

84 + <BDC = 180

<BDC = 180 - 84

<BDC = 96

Since angle at the centre is twice that at the circumference, then;

<BAC = 1/2(<BDC )

<BAC = 96/2

<BAC = 48degrees

You might be interested in

A recipe for whole grain bread calls for 1 oz of rye flour for every 3 oz of whole wheat flour How many ounces of each kind of f

natali 33 [55]

Given :

A recipe for whole grain bread calls for 1 oz of rye flour for every 3 oz of whole wheat flour.

To Find :

How many ounces of each kind of flour should be used to make a loaf of

bread weighing 22 oz.

Solution :

It is given that ratio of rye and whole wheat flour is 1 : 3.

Let, amount of rye flour is x and amount of whole wheat flour is 3x.

So, x + 3x = 22

4x = 22

x = 5.5 oz

3x = 16.5 oz

Therefore, amount of rye flour and whole wheat flour is 5.5 and 16.5 oz respectively.

Hence, this is the required solution.

3 0

2 years ago

Evaluate 3x^2 - x for x = -2

Butoxors [25]

Answer:

$3x^2 - x$

$3 \times - 2 \times - 2 - 2$

$(3 \times - 2 \times - 2) - ( - 2)$

$12 + 2 = 14$

4 0

2 years ago

Y = 3(x-2)^2 + 5

Orlov [11]

The y-intercept coordinate is at the point (0, 17)

<h3>Properties of functions</h3>

Given the following function expressed as:

$y = 3(x-2)^2 + 5$

The vertex of the function (h, k) is (2, 5) while the axis of symmetry is at x = 2
Domain are the input values for which the function exist. According to the function, the domain and range exists on all real values

The x-intercept is the point where y = 0

$3(x-2)^2 + 5=0\\3(x-2)^2 = -5\\(x-2)^2 = -5/3\\x - 2 = 25/9\\x = 25/9 + 2\\x = \frac{43}{9}$

Hence the x-intercept is (43/9, 0)

The y-intercept is the point where x = 0

$y=3(x-2)^2 + 5\\y=3(-2)^2 + 5\\y=12+5\\y=17$

The y-intercept coordinate is at the point (0, 17)

Learn more on vertex and axis of symmetry here: brainly.com/question/21191648

3 0

2 years ago

What are the real zeros of the function g(x) = x3 + 2x2 − x − 2?

aliya0001 [1]

X=-2,+1,-1 ;........................,,,,,,,,,,,

6 0

3 years ago

Read 2 more answers

. A high school currently has a 30% dropout rate. They’ve been tasked to decrease that rate by 20%. Find the equivalent percenta

Crazy boy [7]

Answer:

The equivalent percentage point drop = 10%

Step-by-step explanation:

The percentage point change is the difference between the final and initial values.

The percentage change is the difference between the final and initial values

divided by the initial value

It is required to decrease the dropout rate from 30% to 20%

The point change = 20 - 30 = -10 (-ve change ⇒ decrease)

The percentage change = $\frac{10}{30}*100 = 33.33_%$ %

So, the equivalent percentage point drop = <u>10%</u>

And the percentage change = <u>33.33%</u>

3 0

3 years ago

Please help!!!!CE is tangent to this circle, CD is a radius and ECB=48 what is BAC​

Please help!!!!CE is tangent to this circle, CD is a radius and ECB=48 what is BAC