Answer:
∠B ≈ 30.0°
Step-by-step explanation:
The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.
__
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) . . . . solve for sin(B)
sin(B) = (14/28)sin(91°) ≈ 0.49992385
The angle is found using the inverse sine function:
B = arcsin(0.49992384) ≈ 29.99496°
Rounded to tenths, the angle is ...
m∠B ≈ 30.0°
_____
Additional comments
Many triangle solver apps and web sites are available if all you want is an answer.
When using your calculator, be sure the angle mode is set to "degrees."
The Law of Sines can also be used to solve a triangle when two angles and one side are known.
Evaluate the expression when a=4, b=2, and c=5. 3ab - c
Answer:
19
Step-by-step explanation:
3(4)(2) - 5
3 * 4 = 12 * 2 = 24
24 - 5 = 19
Se puede pasar 11/20 a fraccion mixta?
The fraction 11/20 can not be converted to a mixed fraction since it belongs to the proper fraction, I mean that the numerator is less than the denominator.
Only improper fractions can be mixed.
Example :[tex]\: \: \: \: \: \: \: \: \qquad\bold{\Rightarrow \dfrac{20}{11}= 1\dfrac{9}{11} }[/tex]
So no the fraction 11/20 cannot be a mixed fraction.
Answer:
Solve the set of two reals for the following exponential equation:
\Large\text{${\dfrac{27^x\:-\:3^x}{9^x\:-\:3^x} = 82}$}
NEED HELP QUICKLY
(please include your work)
19. Solve for the angle x.
sin²(2x) = 1
A. 45° + 360°n, 135° + 360°n
B. 45° + 360°n, 135° + 360°n, 225° +
360°n
C. 225° +360°n
D. no solution
E. 45° +360°n, 135° + 360°n, 225° +
360°n, 315° +360°n
F. 45° + 360°n, 225° + 360°n
( A is incorrect)
Answer:
Choice E.
Step-by-step explanation:
sin^2 2x = 1
sin 2x = ± 1
So 2x = 90, 270 , 450, 630 etc
x = 45, 135, 225, 315 etc
= 45 + 360n, 135 + 360n, 225 + 360n, 315 + 360n
A 26-inch skateboard leans against a wall making a 39angle with the ground
[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf \!\!\!\!Wall}\put(2.8,.3){\large\bf Ground}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf$39^{\circ}$ }\end{picture}[/tex]
We need the walls height then ground distance
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sin39=\dfrac{P}{26}[/tex]
[tex]\\ \rm\Rrightarrow P=26sin39[/tex]
[tex]\\ \rm\Rrightarrow P=16.4in[/tex]
Distance of wall from skateboard touching point on ground:-
[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow cos39=\dfrac{B}{26}[/tex]
[tex]\\ \rm\Rrightarrow B=26cos39[/tex]
[tex]\\ \rm\Rrightarrow B=20.2in[/tex]
#BBH
Can one of u guys help me I need help asap
Answer:
See below ~
Step-by-step explanation:
The three inequalities (listed below) have been plotted on a graph :
y ≤ 8y ≥ -3x + 4y > 2x - 4Which expression represents the sixth term in the binomial expansion of (5y 3)10?
The expression in the 6th term in the binomial expression is [tex]265781250y^6[/tex]
How to determine the expression in the sixth term?The expression is given as:
(5y + 3)^10
The above expression is a binomial expression, and the xth term can be represented using:
[tex]^nC_x (a)^x * (b)^{n-x}[/tex]
So, we have:
[tex]^{10}C_6 * (5y)^6 * (3)^4[/tex]
Evaluate the combination expression
[tex]210 * (5y)^6 * (3)^4[/tex]
Evaluate the exponents
[tex]210 * 15625y^6 * 81[/tex]
Evaluate the product
[tex]265781250y^6[/tex]
Hence, the expression in the 6th term is [tex]265781250y^6[/tex]
Read more about binomial expressions at:
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how to make a histogram
hey guys. question posted in the picture. will award brainliest.
Answer:
x=80
that is because a straight angle value is 180 and that angle is already 100 sooo i guess you get the point
What is 5 3/5% of 750?
Thanks in advance.
[tex]5 \frac{3}{5} \% \: of \: 750[/tex]
solution:[tex]5 \frac{3}{5} = 5.6[/tex]
[tex] \frac{5.6\%}{100} \times \frac{x}{750} [/tex]
[tex] = 42%[/tex]
Mina had a disco for her birthday. For every 2 boys at the disco, there were 3 girls. There were 35 children at the disco in total. How many boys were at the disco?
There were 14 boys at Mina's disco for her birthday.
What is a ratio?A ratio is a quantitative value that shows the number of times a certain value is in another value.
The number of boys at the disco can be calculated as shown below:It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
2x + 3x = 35
⇒ x = 35/5
⇒ x = 7
Total number of boys = 2x
= 2 * 7
= 14 boys
Therefore the total number of boys at the disco is 14.
Learn more about ratios here: https://brainly.com/question/13513438
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Need help as asap emergency
Answer:
$1346.4
Step-by-step explanation:
First find the rectangle portions area with lxwxh, which is 8x6x8. That equalls 384.
Then find the triangles, which is bxh, which is 6x8. That equals 144.
Add those two to get 528.
Then multiply the total area by 2.55 which will get you 1346.4
Write a quadratic function f whose zeros are 2 and 5.
Answer:
[tex] {x}^{2} - 7x + 10 = 0[/tex]
Step-by-step explanation:
[tex](x -2)(x - 5) = 0[/tex]
[tex] {x}^{2} - 7x + 10 = 0[/tex]
Helloppp i need hwlp with this plllss
a shoe company needs to create a shoe box...
Answer:
Step-by-step explanation:
21/7=3
5*3=15 width
3*3=9 height
what is the surface area of this solid?
_______ square meters
o 101
o 107
o 116
o 131
Answer:
The surface area of this solid is:
b. 107
Step-by-step explanation:
To understand this answer we need to analyze it. First, we have different geometric figures composing the solid. A pyramid and a rectangular prism. We need to obtain the surface, not the volume so we need to obtain the area of all the figures composing the pyramid and the prism without the hidden part of the pyramid base. We need to obtain the following areas:
2 rectangles with the following measures= W=2 L= 8
1 rectangle with the following measures= W=3 L=8
1 rectangle with the following measures= W=3 L 5
2 rectangles with the following measures= W=2 L=3
4 triangles with the following measures= B=3 H=4
Following the formula for the rectangles W x L we obtain a total area for them of 83 square meters.
Following the formula for the triangles b x h / 2 we obtain the following area: 24 square meters. Then we add both and obtain 107 square meters.
Simplify (sinx + cosx) ^2/ sin2x
[tex]\csc 2x+1[/tex]
Step-by-step explanation:
[tex]\frac{(\sin x+\cos x)^2}{\sin2x}[/tex]We expand [tex](\sin x+\cos x)^2[/tex] using algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex][tex]=\frac{\sin^2x+\cos^2x+2\sin x.\cos x}{\sin2x}[/tex][tex]= \frac{1+\sin2x}{\sin2x}[/tex][tex]=\frac{1}{\sin2x}+\frac{\sin2x}{\sin2x}[/tex][tex]=\csc 2x+1[/tex]5. Mickey bought pizza and sodas for himself and four of his friends. The pizza was $17.49,
and 5 sodas were $1.19 each.
If the pizza is sliced into 10 equal slices and each person eats 2 slices and drinks one
soda, what is the cost to each person?
$2.94
® $4.13
$3.50
$4.69
Answer:
D. is the correct option
Step-by-step explanation:
There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.
$17.49 ÷ 5 = 3.489 or rounded up to $3.50
Next, we'll add $1.19 to $3.59 which equals $4.69
Hope this helps!
A multiple-choice test with 50 questions has five possible
choices for each question. There are 4 marks for each correct
answer, -1 mark for each incorrect answer, and 0 marks for each
unanswered question.
What is the total score of a student with 35 correct answers, 10
incorrect answers and 5 unanswered questions?
Answer:
130
Step-by-step explanation:
[tex](35*4)-(10*1)-(5*0)=130[/tex]
Events a and b are independent. the probability of a occurring is . the probability of b occurring is . what is p(a and b)?
Since events a and b are independent P(a and b) = P(a) × P(b)
To answer the question, we need to know what probability is
What is probability?Probability is the likelihood of an event to occur. The probability of the event P(event) = number of required outcomes/total number of outcomes
Probability of independent eventsIf we have two independent event sa and b that have probabilities of occuring P(a) and P(b) respectively, the probability P(a and b) = P(a) × P(b)
So, P(a and b) = P(a) × P(b)
Learn more about probability here:
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Graph the parabola.
y=(x+1)^2-3
Answer:
tap on the picture to see.Step-by-step explanation:
that should help
Answer:
I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2
Step-by-step explanation:
Hope this helps! ;-)
The graphs below have the same shape. f(x) = x².
What is the equation of the graph of g(x)?
Answer:
C. g(x) = (x - 4)²
Explanation
g(x) is f(x) right 4 units
When shifted right, x - a, a is the distance
So g(x) = (x - 4)² is the answer
HOPE THIS HELPS AND HAVE A NICE DAY <3
3M+4/3=28/3-M.find the m
Answer:
M = 2
Step-by-step explanation:
3M+4/3 = 28/3 -M
3M+M +4/3-28/3 = 0
4M -8 = 0
4M = 8 ( divide 4 in both sides)
M=8/4
M=2
i need adviceeeee pllllllllllllllllllllllllllllllllllssssssssssssssssssssssssssssssssss
Answer:
140 ounces of Vegetables
Step-by-step explanation:
23 ounces of carrots x 2 = 46 ounces
47 ounces of broccoli x 2 = 94 ounces
46 ounces of carrots + 94 Ounces of Broccoli = 140 Ounces of Vegetables
Answer:
140 oz of vetables
Step-by-step explanation:
23 x 2 = 46
47 x 2 = 94
46 + 94 = 140
Given h(x) = −3 |x + 1| evaluate h (-3)
Need help this is for final’s study’s
Answer:
-6
Step-by-step explanation:
h(x) = −3 |x + 1| evaluate h (-3)
h (-3) means x = -3
Plug in:
h(x) = −3 |(-3) + 1| → h(x) = −3 |-3 + 1|
h(x) = −3 |-2| since -2 is an absolute value it becomes 2
h(x) = −3(2)
h(x) = -6
Let me know if you have anymore questions,
Good Luck studying :) YOU GOT THIS !!!
400 divided by 8 =?
——————————-
584 divided by 2 =?
——————————-
450 divided by 9 =?
——————————-
366 divided by 3 =?
——————————-
674 divided by 7 =?
——————————-
819 divided by 9 =?
——————————-
555 divided by 5 =?
——————————-
279 divided by 9 =?
——————————-
570 divided by 5 =?
——————————-
this will help po!
thank you!!
A and B are vertical angles. If mA = (2x + 1)° and m/B = (x +10)°,
then find the value of x.
Answer:
x = 9Step-by-step explanation:
GivenA and B are vertical anglesm∠A = (2x + 1)m∠B = (x + 10)Find the value of xWe know that vertical angles are congruent.
Use this property to set up equation.
m∠A = m∠BSubstitute the values of angles and solve for x.
2x + 1 = x + 102x - x = 10 - 1x = 9
The value of x is 9
WHOS GOOD AT MATHS??? SURELY HELP I’ll brainlist!!!! it’s so complicated i tried and lost it. let’s see whos good at this ahah
A) construct a frequency table using a suitable class interval.
B) construct a histogram to represent these results.
Answer:
You can choose classes of amplitude 5 , it may give you a better representation of the data :
Step-by-step explanation:
A person works full time and gets paid $1,240 semi-monthly. Determine the annual
income.
With a solution.
At first we should calculate Monthly income by multiplying 2 then After multiplying by 12 to calculate Annual income
Not everyone understands this but if you can help please do mi amor
Answers:
scaleneisoscelesscalene=======================================================
Part (a)
Let's find the distance from point D to point E.
In other words, this will compute the length of segment DE.
[tex]D = (x_1,y_1) = (0,-6) \text{ and } E = (x_2, y_2) = (3,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (-6-1)^2}\\\\d = \sqrt{(-3)^2 + (-7)^2}\\\\d = \sqrt{9 + 49}\\\\d = \sqrt{58}\\\\d \approx 7.6158\\\\[/tex]
Segment DE is roughly 7.6158 units long.
Let's repeat these steps to find the length of segment EF.
[tex]E = (x_1,y_1) = (3,1) \text{ and } F = (x_2, y_2) = (-2,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-2))^2 + (1-1)^2}\\\\d = \sqrt{(3+2)^2 + (1-1)^2}\\\\d = \sqrt{(5)^2 + (0)^2}\\\\d = \sqrt{25 + 0}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
Segment EF is exactly 5 units long.
Lastly, we'll compute the length of segment FD.
[tex](x_1,y_1) = (-2,1) \text{ and } (x_2, y_2) = (0,-6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-0)^2 + (1-(-6))^2}\\\\d = \sqrt{(-2-0)^2 + (1+6)^2}\\\\d = \sqrt{(-2)^2 + (7)^2}\\\\d = \sqrt{4 + 49}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\[/tex]
Segment FD is about 7.2801 units long.
This is close to the length of DE, but not quite.
To recap, we found these segment lengths:
DE = 7.6158 (approximate)EF = 5 (exact)FD = 7.2801 (approximate)As you can see, all three sides are different lengths. Therefore, triangle DEF is scalene.
----------------------------------
For part (b), follow the same template as part (a).
I'll be skipping the steps.
This is what you should get for the lengths of triangle TRI
segment TR = 6.0828 (approximate)segment RI = 2 (exact)segment IT = 6.0828 (approximate)Segments TR and IT are the same length (both exactly [tex]\sqrt{37}[/tex] units long), which means triangle TRI is isosceles.
-----------------------------------
For part (c), I'll also be skipping steps.
Here are the lengths you should find
JK = 4.1231 (approximate)KL = 8.9443 (approximate)LJ = 10.6301 (approximate)All three lengths are different, making this triangle scalene.
ANSWER QUICK PLSS NOT MUCH TIME LEFT
A circle P is circumscribed about a regular hexagon ABCDEF
Select one:
a. exterior
b. inscribed
c. interior
d. central
Answer:
the answer willl be D
Step-by-step explanation: