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Licemer1 [7]
3 years ago
8

Ωωωωωωωωωωωωωωωωω WILL GIVE BRAINLIESTEET Given: ∆ABC, AB = 45 AC = CB = 34 Find: m∠B

Mathematics
1 answer:
Leviafan [203]3 years ago
3 0

Answer:

48.5654 \textdegree

Step-by-step explanation:

Let D be the mid point of AB

Now in \Delta ACD\ and\ \Delta BCD

AC=CB \ (given)\\CD=CD \ (common\ side)\\AD=DB \ (D\ is\ mid\ point\ of\ AB)

Hence\ \Delta ACD\cong\Delta BCD

\angle A=\angle B\\\angle ACD=\angle BCD\\\angle ADB=\angle BDC

\angle ADB+\angle BDC=180\\2\angle ADB=180\\\angle ADB=90

in \Delta BCD\\\cos\angle B=\frac{BD}{BC}\\ =\frac{45}{2\times34}\\ =\frac{45}{68} \\\angle B=\cos^{-1}(\frac{45}{68} )\\\angleB=48.5654\textdegree

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Give the domain of each of the following functions in interval notation.
balandron [24]

Answer:

the domain of f(x) is R  ⇒ ] -∞ , ∞[

the domain of h(x) is x ≤ -5 ⇒ ] -∞ , -5]

Step-by-step explanation:

h(x) = \sqrt[8]{-2x-10}

-2x - 10 ≥ 0

-2x ≥ 10

x ≤ -5

8 0
3 years ago
Help please i need to know this
HACTEHA [7]

Answer:true,true,false, true,false false

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How is this supposed to be solved, i don’t really understand.
dezoksy [38]

Answer:

$2561.99 a quarter

Step-by-step explanation:

Just add together what they pay every year, then multiply by 25.5% (because that's the quarterly premium.)

Annual cost = insurance + dental + vision

                    = 8900 + 772 + 375 = $10047 a year.

Quarterly cost = 25.5% of annual cost

   Whenever you see of, think of multiplication!

   25.5% = .255

Quarterly cost = .255 * 10047 = <u>$2561.99 a quarter</u>

5 0
3 years ago
The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

4 0
3 years ago
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. Find the pro
Bogdan [553]

Answer:

Step-by-step explanation:

Let X be the length of pregnancy.

X is N(268, 15)

a) Prob of pregnancy lasting 307 days or longer

= P(X>307) = P(Z>\frac{307-268}{15} )\\=P(Z>2.6)\\

=0.5-0.4953

=0.0047

b) Lowest 2% is 2nd percentile

Z=-2.55

X score = 268-2.55(15)

= 229.75 days

If length of days >230 days then it is not premature.

4 0
3 years ago
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