Answers
Answer: The value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Step-by-step explanation:
To calculate the value of each part of the triangle, we use:
1) Angle sum property
2) Law of sines
Starting with 1:
Calculating [tex]\angle B[/tex] by angle sum property:
[tex]\angle A+\angle B+\angle C=180^o\\\\34^o+\angle B+116^o=180^o\\\\\angle B=(180^o-116^o-34^o)=30^o[/tex]
Applying 2:
The Law of sines relates the length of the side with the sines of the angle opposite to it.
[tex]\frac{\sin 34^o}{BC}=\frac{\sin 116^o}{45}\\\\BC=\frac{\sin 34^o\times 45}{\sin 116^o}\\\\BC=28units[/tex]
Similarly,
[tex]\frac{\sin 30^o}{AC}=\frac{\sin 116^o}{45}\\\\AC=\frac{\sin 30^o\times 45}{\sin 116^o}\\\\AC=25units[/tex]
Hence, the value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Related Questions
The function f(x) = 0.50x represents the cost of x bagels at your local bakery, in dollars. Fernando wants to purchase 10 bagels at the bakery. How much would he have to pay?
Answers
A study of a population of 102
parrakeets revealed that 4 out
of every 12 parakeets in the
population are blue.
Based on the results of this
study, how many parakeets in
the population are NOT blue?
Answers
Answer:
68
Step-by-step explanation:
4 out of 12 are blue.
Then 8 out 12 are not blue.
8 out of 12 is the same as the fraction 8/12 which can be reduced to 2/3.
2/3 of the birds are not blue.
2/3 of 102 = 2/3 * 102 = 68
Answer: 68
Which expression is equal to 12x
A. 4x + 4x - 4x
B. 24x/2
C. (3x)(4x)
D. 15x - 3
Answers
Answer:
B.
Step-by-step explanation:
4x + 4x - 4x = 4x
24x ÷ 2 = 12x
3x • 4x = [tex]12x^2[/tex]
15x - 3 = 15x - 3
Answer:
B. 24x/2
Step-by-step explanation:
12x
A. 4x + 4x - 4x = 8x - 4x = 4x
B. 24x/2 = 24/2 x = 12x
C. (3x)(4x) = 12 x^2
D. 15x - 3 = 15x -3 ( no like terms
f(x) → 4x - 7. Find f(9)
Answers
Answer:
29
Step-by-step explanation:
f(x) = 4x -7
f(9) = 4(9)-7
=36-7
=29
a+b=2ab
b+c=3bc
cta=7ca
Answers
Answer:
a+b=2ab
b+c=2bc
c+a=2ca
If p = 5 and q = 3 evaluate , 4p - pq
Answers
Answer:
5
Step-by-step explanation:
4p-pq=4.5-3.5=20-15=5
Answer:
4*5-5*3
20-15
5 ans.....
The table represents a linear function
What is the slope of the function?
х
0-6
-2
-1
0
1
2
y
8
2.
-4
10
16
&
6
Answers
The slope of the function showing by table is,
⇒ m = - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The table represents a linear function.
Let Two points on the line are (- 2, 8) and (- 1, 2).
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 8) / (-1 - (-2))
m = - 6 / 1
m = - 6
Thus, The slope of the function showing by table is,
⇒ m = - 6
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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the ratio of berries to oranges is 10:1
If they are 25 oranges how many berries are there?
Answers
Answer:
250
Step-by-step explanation:
create a proportion based on 10 berries to every one orange:
let 'b' = # berries
10/1 = b/25
cross-multiply to get:
b = 10(25)
b = 250
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Part A
Find the sale price of the tablet. Explain.
Part B.
Dylan wants to buy both the tablet and
the camcorder. How much will he pay if he buys them during the sale?
Answers
Answer:
355
Step-by-step explanation:
$355 because have you got to add 185 with 140 that will get you that 322 then u got to add to 322 with 30
Translate the following sentence into an equation using n for the unknown number. Then solve for n. when 15 is decreased by three times a number, the result is 21 a. 15 minus 3 n = 21. n = negative 2. b. 3 n minus 15 = 21. n = negative 2. c. 3 n minus 15 = 21. n = 12. d. 15 minus 3 n = 21. n = 2. Please select the best answer from the choices provided A B C D
Answers
Answer:
n=-2,A
Step-by-step explanation:
15-3n=21
-3n=21-15
-3n=6
n=6/-3
=-2
Solve for x and show your work.
• GIVING BRAINLIEST!
Answers
i keep getting this Q wrong can someone help me solve it :)
Answers
Answer:
Can I have your points because you stole it
my precious points
your answer is helpless
A equation for the ninth term of a arithmetic sequence who seventh term is 21 and common difference of 5
Answers
Answer:
[tex]9th=31[/tex]
Step-by-step explanation:
From the question we are told that:
Seventh term [tex]7th= 21[/tex]
Common difference [tex]d= 5[/tex]
Generally Equation for seventh term
[tex]7th=a+(7-1)d[/tex]
Therefore the First Term is given as
[tex]a=7th-(7-1)d[/tex]
[tex]a=21-6*5\\a=-9[/tex]
Generally the equation for 9th term is mathematically given by
[tex]9th=a+8d[/tex]
[tex]9th=-9+8(5)[/tex]
[tex]9th=31[/tex]
PLS HELP ME FIGURE OUT THIS MOVIE
A movie where this girl walks throughout town giving people bad luck or bad energy (not a black cat from marvel) and she doesn’t know until someone makes it clear to her or she figures it out herself then she uses it to get what she wants.
I was thinking it was a marvel movie then I realized no villains are like that except black cat but she in the comics pls help I’m really stressed
Answers
Answer:
Honestly I can only think about Black Cat too.
Step-by-step explanation:
I know its not because I agree she is only in the comics, but I just don't have enough information. Like who is the main charactor.
Terra Drive due north 44 Miles then East 422 miles. How far is Terra from her starting point
Answers
Answer:
466 miles
Step-by-step explanation:
HOPE IT HELPS
MARK ME AS BRAINLIEST
FOLLOW ME
CORRECT ME IF IM WRONG
CARRY ON LEARNING
THANK YOU
What are the solutions of this quadratic equation? X2 − 10x = -34 A. X= -8, -2 B. X= 5 + 3i C. X= -5 + 3i D. X= -5 + square root of 59
Answers
Answer:
B. X= 5 + 3i
5 + 3i
Step-by-step explanation:
We are given the quadratic equation
x² - 10x = -34
x² - 10x + 34 = 0
Using Almighty formula
x = -b ± √b² - 4ac/2a
When given equation: ax² + bx + c
Where: a = 1, b = -10 , c = 34
x = -10 ± √-10² - 4 × 1 × 34/2 × 1
x = 10 ± √100 - 136/2
x = 10 ± √-36 /2
x = 10/2 ±. √-36/2
x = 5 ± 6i /2
x = 5 ± 3i
Hence: the roots of the equation are:
x = 5 - 3i , x = 5 + 3i
Marking brainliest
What does this quote mean? “The time is always right to do what is right”- MLK. don’t use the internet pls !!
Answers
Malachy and Paul win some money and share it in the ratio 2:1. Malachy gets £24 more than Paul. How much did they get altogether?
Answers
Step-by-step explanation:
How was Toto an expensive deal for grandfather? Do you think it
was a lesson for grandfather?
Write the inverse of the given conditional statement
Answers
Answer:
If I live in South Carolina then I live in Charleston
Step-by-step explanation:
Just switch them
Help pleasee! I need to get this right.
Answers
Answer:
You got it! B. x ≤ -7 or x ≥ 2
Step-by-step explanation:
In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.
The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.
Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.
So, the final answer is B. x ≤ -7 or x ≥ 2.
*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).
Help if you can. Thank You.
Answers
Answer:
[tex]Given:-[/tex] Δ ABC
[tex]AC~is~exteuded ~through ~C~to ~D[/tex]
[tex]BC~is ~drawn ~to ~AC[/tex]
[tex]Using ~Triangles~Exterior~angle~theorm,[/tex]
1) =∠3+∠4 and ∠4=∠5+∠6
∠7=∠3+∠2
So, only D) m∠7=m∠3+m∠2 is correct
---------------------------
hope it helps..
have a great day!!
What is organic chemistry??
Answers
Organic chemistry is the study of the structure, properties, composition, reactions, and preparation of carbon-containing compounds. Most organic compounds contain carbon and hydrogen, but they may also include any number of other elements (e.g., nitrogen, oxygen, halogens, phosphorus, silicon, sulfur).
Mr. Ali cut a wooden plank into three parts in the ratio 2:3:8. The longest part was 72 centimeters
Answers
Answer:
117 centimeters
Step-by-step explanation:
Since the longest pieces is 72 centimeters and it’s ratio is 8, that means the individual unit of the ratio is 9 (72/8=9). You can multiply each part of the ratio by 9
2x9=18
3x9=27
We already know the third part of the ratio is 72. Add all of it together to get the original length.
18+27+72=117 cm
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power.
Answers
Answer:
The square root is the inverse operation to the power of 2, so that whenever you take a number and perform both actions on it, you get the same number back.
Sample Answer: Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
please help me and thank you :)
Answers
Answer:
x=8
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
16 = 1/2 (4) x
16 =2x
Divide each side by 2
16/2 = 2x/2
8 =x
The height is 8 units
The following table shows the probability of rolling the numbers 1 through 7
on a fair 7-sided die.
х
1
2
3
4
5
6
7
P(X) 1/71/71/71/71/71/71/7
What is the standard deviation of the random variable X, "the number that
comes up on the die"?
A. 1.708
OB. 3.745
O C. 2.917
Оооо
D. 3.5
E. 2.0
Answers
Answer:
2.0
Step-by-step explanation:
Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die
The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)
The first moment (AKA the average is..)
[tex]\frac{1+2+3+4+5+6+7}{7}=4[/tex]
The second moment is..
[tex]\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20[/tex]
[tex]\sqrt{20-4^2}=2[/tex]
Are you a Republican or Democrat? Why? Just curious to hear others opinions
Answers
Please help me I would really appreciate it, If you can't that is okay but please try!
Answers
Answer:
Either A or B
Step-by-step explanation:
Its not C or D sorry I couldn't be much help, but I hope that makes it a bit easier?
1. Find 3 rational numbers between −1//3 and 1/−5
Answers
Step-by-step explanation:
-1×5 1×3
------ -----
3×5 -5×3
=
-5/15 -3/15
-5/15×4/4 ;
-3/15×4/4
=
-20/60 ;
-12/60
you can write any 8 rational no. between them
please mark as brainliest answer as it will also give you 3 pts
what do you call a line that intrrsects two parallel lines
Answers
Answer:
TransversalStep-by-step explanation:
A transversal is a line that passes through two lines in the same plane at two distinct points.
Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel.
Eight angles of a transversal.
