5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.

5) In The Figure, Triangle ABC Is A Right Triangle At B. If CD = 15, Find BC To The Nearest Tenth.

Answers

Answer 1

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

[tex]\frac{AC}{sin30}[/tex] = [tex]\frac{15}{sin40}[/tex] ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = [tex]\frac{15sin30}{sin40}[/tex] ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11.668}[/tex] ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )


Related Questions

(35+4​n)−​(15+3​n)

pls answer asap

Answers

Answer:

20 - n

Step-by-step explanation:

Subtract like-terms:

35 + 4n - 15 - 3n = 20 - n

what is the value of x?

Answers

Answer:

12

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST:)

Answers

Answer:

c is correct

Step-by-step explanation:

Answer:

earthquake

Step-by-step explanation:

I think it's right

PLEASE HELP WITH GEOMETRY!! CACULATE SURFACE AREA, SHOW WORKw

Answers

Answer:

10 x 4 = 40, 40 x 2 = 80

5 x 10 = 50, 50 x 2 = 100

5 x 4 = 20, 20 x 2 = 40

100 + 80 + 40 = 220 ft2

1. Find the value of y when x = 3.
y = 3(x+7) + 12

Answers

y= 42. 3(3+7)+12
3(10)+12
30+12
42
y=42
When x = 3 the value of y = 3(3+7) + 12

y = 3(3+7) + 12
= 42

Hellppp please ill give brainlesst

Answers

Answer: I got this-- its me again..  It's D again- I explained this time tho-

Step-by-step explanation:

2 cm represents 100 miles, then 1 cm represents 50 miles and .5 cm represents 25 miles.

Town A = 175 miles from town B.

Town C = 100 miles from town B.

SO, Town A is 175 miles + 100 miles = 275 miles from town C.

At Anthony's school, 260 of the 500 students are girls. At Theresa's school, 360 of the 600 students are girls. Whose school has the greater percent of girls.

Answers

Answer:

Theresa school has greater % of girls

Step-by-step explanation:

Given

Number of girl in the Anthony school = 260

Total student in Anthony school = 500

% of girl in the Anthony school = 260/500 * 100 = 52 %

Number of girl in the Theresa school = 360

Total student in Theresa school = 600

% of girl in the Theresa school = 360/600 * 100 = 60%

Theresa school has greater % of girls

Solve the equation by completing the square. Round to the nearest hundredth if necessary.

x2 + 2x = 8

Answers

Answer

2

Step-by-step explanation:

(reorder terms)

2x + 2x = 8

collect like terms

4x=8

divide both sides of the equation

x = 2

determine the value of x

Answers

Answer:

12x-4 =80

12x =84

x. =7 ,,

A study was conducted by a certain firm to determine who curses at their computer. The results indicated that 30​% of people age​ 18-34 years have cursed at their computer. What are the odds against a randomly selected​ 18- to​ 34-year old having cursed at his or her computer. LOADING... Click the icon to view an explanation of odds. The​ odds, in the most simplified​ form, are nothing to nothing against a randomly selected​ 18- to​ 34-year old having cursed at his or her computer. ​(Type whole​ numbers.)

Answers

Answer:

The​ odds, in the most simplified​ form, are 7 to 3 against a randomly selected​ 18- to​ 34-year-old having cursed at his or her computer.

Step-by-step explanation:

Given

[tex]p = 30\%[/tex] ---- proportion that cursed their computer

Required

Odds against the selected

Using the complement formula, the proportion that the selected has not cursed at their computer is:

[tex]p' = 1 - p[/tex]

[tex]p' = 1 - 30\%[/tex]

[tex]p' = 70\%[/tex]

So, the odds against the selected is:

[tex]Odds = p' : p[/tex]

[tex]Odds = 70\% : 30\%[/tex]

Divide by 10%

[tex]Odds = 7: 3[/tex]

HELP PLEASE ASAP PLEASE TYSM TYSM WILK+L MARK BRAINLIEST! IF YOU PUT IN A RANDOM ANSWER YOU WILL BE REPORTED TYSM HELP ASAP PLEASE TYSM

Answers

On one side of the square, it is 4.5 units long. The formula in finding the area of a square is A = s^2, where s is for side. The formula can also be A = s * s in which both formulas are the same and will result in the same answer. So overall, the area of the square is 20.25 or 20 ¼ square units. Hope this helps!

explain why n(n-1) must be an even number​

Answers

n & n - 1 are two consecutive numbers which means one of is surely even and the other one is odd.

_______________________________

Suppose that n is an even number;

So we can right n like this :

n = 2t

Thus :

n - 1 = 2t - 1

_______________________________

n( n - 1 ) = 2t( 2t - 1 ) = 2 ( 2t^2 - t )

= 2 ( q ) = 2q

The number obtained is a multiple of 2, so it is definitely even because all numbers are even multiples of 2.

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2016, rounded to the nearest whole number.​

Answers

Answer:

Step-by-step explanation:

If you don't know how to use your calculator to find a regression equation, that is much too much to try and teach you in a forum such as this (it takes all hour to teach Algebra 2 students during the school year and they are sitting in class watching a demonstration!). I entered the data in my calculator and got the equation to be

y = 18.9x + 850 with a correlation coefficient of only .8 so this is not a very good model for this data anyway. However, we will proceed with the question as it asks. Year 0 is 2008, so the year in question, 2016, is year 8. We fill in the model with 8 for x and solve for y, the cases in NY of crime in that year:

y = 18.9(8) + 850 and

y = 151.2 + 850 so

y = 1001 cases of crime

What expression is equivalent to 3-(-2+5)

Answers

Answer:

Ok ok, I see. So the answer is -9.

Step-by-step explanation:

We know the expresion is:

-3(-2+5)

We need to distrubute the -3 to what is in the parthese.

When I say distribute, basically you need to multiply the numbers inside the parethese by -3. So we can think of it as:

-3*-2=6

and:

-3*5=-15

Which we can rewrite as:

(6-15)

Subtract 15 from 6 and you get -9:

6-15=-9

Sorry hope this helps!

I NEED HELP PLEASE PLEASE IN ALGEBRA!

Answers

Answer:

what is question?

Step-by-step explanation:

Using the graph above, find out how much money miguel saves per month (his unit rate of dollars saved per month).

write your answer. here:____ dollars saved per month

Answers

Answer:

15

Step-by-step explanation:

To find the unit rate you divide.

• the points that is in bold is ( 2, 30) from that information you would see what times 2 gives me 30.

• 30/2 =15

• unit rate= 15

Find the 8th term of the arithmetic sequence - 2x + 7,4x + 1, 10x – 5, ...

Answers

Answer:

Step-by-step explanation:

a1 = -2x + 7

d = 4x + 1 - (-2x + 7)

d = 4x + 1 + 2x - 7

d = 6x - 6

n = 8

a8 = -2x + 7 + (n-1)*d

a8 = -2x + 7 + (8 -1 ) * (6x - 6)

a8 = -2x + 7 + 7 * (6x - 6)

a8 = -2x + 7 + 42x - 42

a8 = 40x - 35

Kiran’s aunt is 17 years older than Kiran. How old will Kiran’s aunt be when Kiran is 15 years old?

Answers

Answer:

32

Step-by-step explanation:

15+17=32

...........

Answer:

32

Explanation:

All you have to do it add 17 to 15, since the aunt is 17 more years older than kiran.

A train travels 164 miles in 4 hours.
How far does it travel per hour?
Rate
Unit Rate

Answers

Answer: 23 12

Step-by-step explanation:

please answer for points

Answers

roughly around 4.9mm

Answer:

4.9

Step-by-step explanation:

use this equation : [tex]a^2 + b^2 = c^2[/tex] (your hypotenuse is always going to be c)

 [tex]7^2 - 5^2 = b^2[/tex]

 [tex]49 - 25 = b^2\\[/tex]          

         [tex]24 = b^2[/tex]

      [tex]\sqrt{24} = b[/tex]

        [tex]4.9 = b[/tex]

Explain how
you know you would use sine, cosine or tangent to
solve this. Explain thorougly
C
X
10
B В

Answers

Answer:

To solve for x,  I would use Cosine.

This is because cosine holds the ratio of adjacent/hypotenuse. Based on the diagram, we can see that HYPOTENUSE = x, so we are solving for x. We know the angle, is 17 degrees. Lastly, we know the triangle leg ADJACENT to the angle is 10 units long. So we would use cosine, implementing the ratio adjacent/hypotenuse. Solving this, we would use cos(17)=10/x. Then our goal is to isolate x, so cos(17)=10/x becomes cos(17)*x=10, we are still trying to isolate x, so, x=10/cos(17). Therefore, our answer  x = 10.457 units. cosine would be the best way to go.

Step-by-step explanation:

does anyone know this

Answers

Answer:

a=170

Step-by-step explanation:

180-6=174mil

round to 170.

Answer:

4.9 (rounded)

Step-by-step explanation:

a^2 + 1^2 = 5^2

a^2 + 1 = 25

      - 1     - 1

= a^2 = 24

[tex]\sqrt{a^2 = 24}[/tex] = 4.9 (rounded)

Find the theoretical probability that the spinner below lands on the letter B. Write your answer as a fraction in simplest form. Use "/" for fractions with no s

Answers

Answer:

The theoretical probability that the spinner below lands on the letter B is 1/2

Step-by-step explanation:

Given

[tex]S =\{A,B,B,B,C,C\}[/tex]

[tex]n(S) = 6[/tex]

See attachment for spinner

Required

P(B)

From the attached spinner, we have:

[tex]n(B) = 3[/tex] --- occurrence of B

So:

[tex]P(B) = \frac{n(B)}{n(S)}[/tex]

[tex]P(B) = \frac{3}{6}[/tex]

[tex]P(B) = 1/2[/tex]

what is the Q3 of the following set of data? 106,117,152,132,148,101,124,110,167,139,112

Answers

Answer:

148

Step-by-step explanation:

First, sort the list in order from smalles to largest:

101, 106, 110, 112, 117, 124, 132, 139, 148, 152, 167

There are 11 numbers in the list, so the median is the 6th number, 124.

The third quartile (Q3) is in the middle of the right-hand half:

132, 139, 148, 152, 167

What are the measures for angle b,c,and d

Answers

a = 65
b = 25
c = 25
d = 75

Explanation:

a = 180 - (60 + 55) = 180 - 115 = 65 (Angles on a straight line)

b = 90 - a = 90 - 65 = 25 (Angles in a right triangle)

c = b = 25 (Vertically Opposite Angles)

d = 90 - 15 = 75

You already know I really don’t have to explain myself

Answers

Answer:

D

Step-by-step explanation:

(Max Points) Do not answer if you’re not 100% sure. I’ll report if wrong.

Answers

Answer:

B. 3/7 + 3r = 1

Step-by-step explanation:

Job can be determines as:

Job = time*rate

We have:

Time 3 hours and Rates 1/7 and r

Sum of the parts completed by both Rocco and Giulia gives the job, which is considered as a whole or 1:

1 = 3(1/7 + r)1 = 3/7 + 3r

or

3/7 + 3r = 1

Correct choice is B

The diameter of a circle is 2 inches. What is the circle's circumfere
Use 3.14 for u.
PLS HELP!!!

Answers

Answer:

[tex]6.28\:\mathrm{in}[/tex]

Step-by-step explanation:

The circumference of a circle is given by [tex]C=2r\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.

Therefore, we have:

[tex]C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}[/tex]

Answer:

6.28in or 6.3in

Step-by-step explanation:

All I did was multiply pie by diameter or multiply it by its radius, which is 1.

C = 2(3.14)(1)

= 6.28

or

C = (3.14)(2)

= 6.28

FT is tangent to OP at T. If FP = 39 and FT = 36, what is PT?
39
T
36
A 20
B. 12
C. 3
D. 15

Answers

Answer:

[tex]D) 15[/tex]

Step-by-step explanation:

[tex]39^{2}=36^{2} +PT^{2}[/tex]

[tex]PT^2=39^2-36^2[/tex]

[tex]PT=\sqrt{39^2-36^2}[/tex]

[tex]PT=15[/tex]

------------------------

hope it helps...

have a great day!!

On Sunday, the wind chill temperature reached −36 °F. On Monday, the wind chill temperature only reached 1 4 of Sunday's wind chill temperature. What was the lowest wind chill temperature on Monday? A −144 °F B −36 1 4 °F C −9 °F D −40 °F

Answers

Answer:

(A) -9 °F

Step-by-step explanation:

On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill

temperature only reached¼ of Sunday's wind chill temperature. What was the

lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F

Sunday temperature = - 36 °F

Monday temperature = ¼ of Sunday's wind chill temperature

Monday = 1/4 of - 36 °F

= 1/4 * -36 °F

= (1 * -36)/4 °F

= -36/4 °F

= -9 °F

Monday temperature = -9 °F

The correct answer is (A) -9 °F

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