Can someone help me please
measure of angle B = 37 degrees, a = 12, b = 15. Find the measure of angle A to the nearest degree.
Answers
Answer: 28.78
Step-by-step explanation:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}\\\\ \sin A=\frac{a \sin B}{b}\\\\\sin A=\frac{12 \sin 37^{\circ}}{15}\\\\\sin A=0.481452...\\\\A \approx 28.78^{\circ}, 151.21^{\circ}[/tex]
However, we disregard the second case, giving 28.78 degrees.
Related Questions
Identity the construction that the figure represents
Answers
The construction is the construction of the Perpendicular bisector.
How to illustrate the information?The steps for the construction of perpendicular bisectors are as follows:
Open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
Call the two points where these two arcs meet X and Y. Draw the line between X and Y.
So, the point where this line meets the line segment; M is called the mid point and the line XY is the perpendicular bisector of the line AB.
The figure is a construction of perpendicular bisector.
Learn more about bisector on:
https://brainly.com/question/11006922
#SPJ1
Erin had 555555 stuffed bears. she took out her favorite 777 bears and then equally divided the other bears among her 333 sisters. erin's youngest sister, su, already had 151515 stuffed bears. how many stuffed bears does su have now?
Answers
The number of stuffed bears with Su=153181
What is the number of stuffed bears Su has?Total number of bears Erin has=555555
The number of bears Erin took out=777
Remaining number of bears with Erin=555555-777
=554778
Now, these remaining stuffed bears are to be divided equally among 333 sisters.
So, each sister gets [tex]\frac{554778}{333}[/tex]=[tex]1666[/tex] stuffed bears.
To find the number of stuffed bears Su has, find the sum of her share of stuffed bears and the number of stuffed bears she already had.
Number of stuffed bears Su already has=151515
Total number of bears she has at present=151515+1666
=153181
Learn more about numbers here:
https://brainly.com/question/148825
#SPJ4
what does the Symbol z- stands
Answers
Consider the relation given by the graph below.
a) Is the relation a function? Why or why not?
b) Determine the domain and range of the graph.
Answers
(a) The relation is a function because each value of x maps onto only one value of y.
(b) Domain is [tex](-\infty, 3][/tex], range is [tex][-1, \infty)[/tex].
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
The inequality are –6x + 15 < 10 – 5x and a number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Inequality expressionsInequality are expressions not separated by an equal sign. Given the inequality expression below;
–3(2x – 5) < 5(2 – x)
Expand
-6x + 15 < 10 - 5x
Collect the like terms
-6x + 5x < 10 - 15
-x < -5
x > 5
Hence the correct representations of the inequality are –6x + 15 < 10 – 5x and a number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Learn more on inequality here: https://brainly.com/question/24372553
#SPJ1
how many centigram are equal to 9.95 milligram
Answers
Answer:
0.995 centigram
Step-by-step explanation:
divide the mass value by 10
Find the sum of the geometric sequence. (7 points) 1 divided by 3, 2 divided by 3, 4 divided by 3, 8 divided by 3, 16 divided by 3
Answers
The sum of the geometric sequence is 31/3
How to determine the sum?The sequence is given as:
1/3, 2/3, 4/3, 8/3, 16/3
The sum of the sequence is;
Sum = 1/3+ 2/3+ 4/3+ 8/3+ 16/3
Evaluate
Sum = 31/3
Hence, the sum of the geometric sequence is 31/3
Read more about geometric sequence at:
https://brainly.com/question/11266123
#SPJ1
pls help asap..............
Answers
The ratio of the side lengths of the triangle will be 3:10 or 3/10.
How to illustrate the ratio?From the information given, the first triangle has sides 6 and 9 while the large triangle has sides 20 and 30.
Based on this, the ratio will be:
= 6/20 = 9/20
= 3/10 = 3/10
Therefore, the ratio is 3:10.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Need help (problem and directions in the image):
Answers
Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem. The sink hole is 52.2 ft and the Perimeter of ABC is 172.2 ft
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.
In the image shown:
AC = CE, BC = ED and they have the same angle (opposite angles are congruent).
Hence:
Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem.
AB = DE = 52.2 ft
Perimeter of ABC = AB + BC + AC = 50 + 70 + 52.2 = 172.2 ft
Find out more on congruent triangles at: https://brainly.com/question/2938476
#SPJ1
Name two monomials with a quotient of 12
Answers
1. Which statement about this figure is true?
Answers
Determine the vertex of the quadratic relation y=2(x+2)(x-6).
Answers
Answer:
V = (2,-32)
Step-by-step explanation:
Hello!
The vertex of a quadratic lies on the Axis of Symmetry (AOS). The axis of symmetry is exactly in the middle of the roots of the Quadratic. We can solve for the AOS by finding the average of the two roots.
Rootsy = 2(x + 2)(x - 6)0 = 2(x + 2)(x - 6)0 = (x + 2)(x - 6)0 = x + 2: x = -20 = x - 6: x = 6The two roots of the quadratic are 6 and -2.
Solve for the AOS[tex]AOS = \frac{r_1 + r_2}{2}[/tex][tex]AOS = \frac{6-2}{2}[/tex][tex]AOS = \frac42[/tex][tex]AOS = 2[/tex]The Axis of symmetry of the quadratic is 2.
VertexSince the vertex lies on the AOS, we know the x-value of the vertex. We can solve for the y-value by plugging in the value of the AOS in the equation.
Find the Vertex
y = 2(x + 2)(x - 6)y = 2(2 + 2)(2 - 6)y = 2(4)(-4)y = 2(-16)y = -32The Vertex of the quadratic is at (2,-32).
The planetary boundary layer (PBL) is the lowest layer of the troposphere; its characteristics are influenced by contact with the ground. Wind speed, temperature, and moisture in the PBL all affect weather patterns around the globe. A random sample of days was obtained and the height of the PBL (in meters) above the Great Basin Desert was measured using weather radar. Assume the underlying distribution of PBL heights is normal.
Height(m)
1 673 2 664 3 906 4 956 5 751 6 752 7 654
8 610 9 816 10 667 11 690 12 657 13 920 14 741 15 646 16 682 17 715
18 618 a. Find a 95% confidence interval for the true mean height of the PBL above the Great Basin Desert. b. Is there any evidence to suggest that the true mean height of the PBL above the Great Basin Desert is different from 700 m? There is_____to suggest that the mean height is different from 700 m. The confidence interval_____the value 700 so it is_____as the true mean height of the PBL.
Answers
The confidence interval for the true mean height of the PBL above the Great Basin Desert is (651.48,748.52) and there is any sufficient evidence that the true mean is different from 700 m .
Given Heights in meters: 673,664,906,956,751,752,654,610,816,667,690,657,920,741,646,682,715,618 and confidence level of 95%.
We have to show the evidence that the true mean height is different from 700 m.
We have to first make hypothesis.
[tex]H_{0}:[/tex]μ=700
[tex]H_{1}[/tex]:μ≠700
We have to first find the population standard deviation.
σ=[tex]\sqrt{(x-x bar)^{2}/n-1 }[/tex]
=[tex]\sqrt{187375.1/17}[/tex]
=104.98
Z=(X-μ)/σ
=(700-728.78)/104.98 (μ=728.78 is calculated in figure)
=-0.2741
p value of -0.2741 =0.39358
0.39358
0.39358<0.90
so we reject the null hypothesis.
Which means that the true mean is different from 700m.
Confidence level=X±z*s/[tex]\sqrt{n}[/tex]
Upper level=700 +1.96*104.98/[tex]\sqrt{18}[/tex]
=700+48.52
=748.52.
Lower level=700-1.96*104.98[tex]\sqrt{18}[/tex]
=700-48.52
=651.48
Hence the confidence interval is (651.48,748.52).
Learn more about confidence interval at https://brainly.com/question/15712887
#SPJ4
Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing two hours later
Answers
Rate is the distance between the cars increasing two hours later is 52 miles/hr
Let x(t) be distance of first car from starting point at time t
Let y(t) be distance of second car from starting point at time t
Let s(t) be distance between the two cars at time t. We need to evaluate ds/dt at time t = 2.
We know x2(t) + y2(t) = s2(t). Therefore 2x * dx/dt + 2y * dy/dt = 2s * ds/dt. The 2s cancel.
At t=2 hours, x = 96 miles. and y = 40 miles.
We will need the distance between the cars at t=2:
s(2) = √x(2)2 + y(2)2 = √96 2 + 40 2 = √10816 = 104.
Now fill in x * dx/dt + y * dy/dt = s * ds/dt at time t = 3 and solve for ds/dt:
96 * 48 + 40 * 20 = 104 * ds/dt
ds/dt = 5408/104 = 52 miles/hr
Learn more about Distance:
https://brainly.com/question/4313883
#SPJ4
two fifth grade classes raised money for their local animal shelters. there are 20 students in class a each student raised 12 there are 26 students in class b each student in class b rasied 1.5 times as much as each student in class a
Answers
The amount the first charity got is $10.
The amount the second charity got is $20.
How much did each charity get?The first step is to determine the amount raised by the second fifth grade class: 1.5 x $12 = $18
The total amount raised by the two classes : $18 + $12 = 30
Let x represent the amount gotten by the first charity
Amount gotten by the second charity : 2x
2x + x = $30
3x = $30
x = $30 / 3
x = $10
Amount gotten by the second charity : 2(10) = $20
Two fifth grade classes raised money for their local animal shelters. there are 20 students in class a each student raised $12. there are 26 students in class b each student in class b raised 1.5 times as much as each student in class a. The money raised went to two charity. One charity received two times as much as the other. How much money did each charity receive? Show your work and explain your answer.
To learn more about multiplication, please check: https://brainly.com/question/3385014
#SPJ1
1-secA+tanA/1+secA+TanA = secA+tanA-1/secA+tanA+1
Answers
It has been proven that the trigonometric Identity (1 - secA + tanA)/(1 + secA + TanA) is equal to; (secA + tanA - 1)/(secA + tanA + 1)
How to prove trigonometric Identities?
We want to prove that;
(1 - secA + tanA)/(1 + secA + TanA) = (secA + tanA - 1)/(secA + tanA + 1)
We know from trigonometric identities that;
(secA)² – (tanA)² = 1 ----(1)
Also, from algebra we know that;
a² - b² = (a + b)(a - b)
The numerator of LHS of the original given Identity is:
1 - sec A - tan A
Using equation 1, we can say that;
(secA)² – (tanA)² - (sec A + tan A)
⇒ (sec A + tan A)(sec A - tan A) - (sec A - tan A)
This can be factorized to get;
(sec A - tan A)(sec A + tan A - 1)
Similarly, the denominator can be expressed as;
(sec A - tan A)(sec A + tan A + 1)
Thus, combining the numerator and denominator together gives us:
[(sec A - tan A)(sec A + tan A - 1)]/[(sec A - tan A)(sec A + tan A + 1)]
⇒ (secA + tanA - 1)/(secA + tanA + 1)
That expression is equal to the Right hand side and as such the Trigonometric Identity is proved.
Read more about Trigonometric Identities at; https://brainly.com/question/22591162
#SPJ1
In a function why berries directly with X in the constant of variation is two which table could represent the function
Answers
The correct option is (D)
What is a function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
the complete question is attached below
As, per the data given we can say that
the variation of quantity is 2.
So, the equation can be
y=2x
This equation defined by part (4) of the question.
Learn more about function here:
https://brainly.com/question/12431044
#SPJ1
In the figure, CD is the bisector of ACB. If AD = AE then prove that: EAC = ABC.
Answers
Answer:
If AD=AE the the bisector CD. will be the coefficient of AE
A researcher gets a list of all 500 members of the National Association of Social Work in Yourtown that she wants to include in her study. She only has the funding and time to survey 50 members. She takes her list of members, randomly selects a starting point, and then selects every tenth name from the list to be included in her sample. In this example, the sampling interval is:
Answers
In this example, the sampling interval is 10.
A researcher gets a list of all 500 members of the National Association of Social Work in Yourtown that she wants to include in her study. She only has the funding and time to survey 50 members. She takes her list of members, randomly selects a starting point, and then selects every tenth name from the list to be included in her sample.
In this example, the sampling interval is 10.
Learn more about sampling intervals here https://brainly.com/question/28013076
#SPJ4
A budweiser delivery truck in west texas has driven 1,386 miles in 4 days. he leaves the distributor and stops at 24 stores during this period. between stops the driver averages ___ miles. do not count the driving back to the distributor.
Answers
Using proportions, it is found that between stops the driver averages 57.75 miles.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In 1,386 miles, the driver had 24 stops, hence the number of miles per stop is found as follows:
1386/24 = 57.75 miles.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
3. Find the point of intersection of the graphs for each system. a) x - y = 1 and 3x - y = -1
Answers
Answer:
the point of intersection is (-1 , -2)
Step-by-step explanation:
[tex]\begin{cases}x-y=1&(1)\\ 3x-y=-1&(2)\end{cases}[/tex]
(2) - (1) ⇒ (3x - y) - (x - y) = (-1) - 1
⇒ 3x - y - x + y = -2
⇒ 3x - x = -2
⇒ 2x = -2
⇒ x = -1
……………………………
Now ,we can determine the value of y
by substituting x by its value -1 in the first equation (1) :
(1) x - y = 1 ⇒-1 - y = 1 ⇒ -y = 2 ⇒ y = -2
========================
Conclusion:
x = -1
y = -2
Then ,the point of intersection of the graphs is (-1 , -2)
Hello !
[tex]\begin{cases} x - y &=1 \\ 3x-y &= - 1 \end{cases} \\\Leftrightarrow \begin{cases} x =y + 1 \\ 3x-y = - 1 \: \: \: \: \: (a)\end{cases} [/tex]
We replace x by y+1 in (a) :
[tex]3(y + 1) - y = - 1 \\ 3y + 3 - y = - 1 \\ 2y = - 4 \\ y = \frac{ - 4}{2} = - 2[/tex]
Now we replace x by -1 in the first equation.
[tex]x + 2 = 1 \\ x = -1[/tex]
The point of intersection is (-1;-2).
Have a nice day
Solve the system of equations using elimination: -8x-4y=4 and -5x-y=-11.
Answers
The solutions to the given system of equations are x = 4 and y = -9
Simultaneous linear equationsFrom the question, we are to determine the solutions to the given system of equations
The given system of equations are
-8x-4y=4 --------- (1)
-5x-y=-11 --------- (2)
Multiply equation (2) by 4
4 ×[-5x-y=-11 ]
-20x -4y = -44 -------- (3)
Now, subtract equation (3) from equation (1)
-8x -4y = 4 --------- (1)
-(-20x -4y = -44) -------- (3)
12x = 48
x = 48/12
x = 4
Substitute the value of x into equation (2)
-5x -y = -11
-5(4) -y = -11
-20 -y = -11
-y = -11 + 20
-y = 9
∴ y = -9
Hence, the solutions to the given system of equations are x = 4 and y = -9
Learn more on Simultaneous linear equations here: https://brainly.com/question/26310043
#SPJ1
a propartional relationship is shown below, please help me with the slope answer and how to write it in the graph!!!
Answers
The slope of the line that represents the relationship is 0.7692
slope of a lineThe formula for calculating the slope of a line is expressed as;
Slope = y2-y1/x2-x1
Using the coordinate points (1.3, 1) and (2.6, 2)
Substitute
Slope = 2-1/2.6-1.3
Slope = 1/1.3
Slope = 0.7692
Hence the slope of the line that represents the relationship is 0.7692
Learn more on slope of a line here: https://brainly.com/question/16949303
#SPJ1
Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What was the amount of the loan?
Answers
$4,875.24Given:interest
255.94rate = 5.25%term
yearsimple.
can someone help me ?
Answers
Answer:
∠ C = 26°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
∠ A + ∠ B + ∠ C = 180°
120° + 34° + ∠ C = 180°
154° + ∠ C = 180° ( subtract 154° from both sides )
∠ C = 26°
If a submarine dives 378 feet in 14 seconds, the average change in elevation is
feet per second.
Answers
Answer: The average change in elevation is 27 feet per second.
Step-by-step explanation:
A submarine dives = 378 feet
Time taken in the total diving = 14 seconds.
So, according to the question, the average change in the elevation can be calculated by
⇒ Feet per second = feet/ second
⇒ the average change = 378/14
⇒ elevation = 27 feet per second.
Change in elevation is basically the distance covered in one second.
What is the smallest positive integer that has a square root that is greater than 10?
Answers
The smallest positive integer that has a square root that is greater than 10 is 101
How to determine the integer?Let the integer be represented by n
The square root is greater than 10.
So, we have:
[tex]\sqrt n > 10[/tex]
Square both sides
n > 100
The above means that the integer is greater than 100.
The smallest integer greater than 100 is 101
Hence, the smallest positive integer that has a square root that is greater than 10 is 101
Read more about integers at
https://brainly.com/question/17695139
#SPJ1
Perimeter of ABCD=
Help me please. Stuck on this question
Answers
Answer:
42
Step-by-step explanation:
Perimeter of quadrilateral with inscribed circle:Two tangents from a point outside the circle to some point to a circle are of equal lengths.
CB = 3+ 5 = 8
CD = 3+ 4 = 7
DA = 4 + 9 = 13
AB = 9+ 5 = 14
Perimeter = 8 + 7 + 13 + 14
= 42
Pat won the lottery!! She won 23 million dollars. Of course she had to pay the income tax of 33%. She decides to take the rest in monthly payments for twenty years. How much money will
Pat get each month?
Answers
Answer:
$64,208.33
Step-by-step explanation:
100% - 33% = 67%
Since she pays 33% in taxes, she will only get 67% of the $23 million.
1 year = 12 months
20 years = 20 × 12 months = 240 months
There are 240 months in 20 years.
monthly amount = 67% of $23 million / 240
monthly amount = 0.67 × $23,000,000 / 240
monthly amount = $64,208.33
True or False. Both distributions are bell-shaped and symmetric but where the peak falls on the number line is determined by the mean.
Answers
Both distributions are bell-shaped and symmetric but where the peak falls on the number line is determined by the mean.
The given statement is false.
A bell curve is a graph depicting the ordinary distribution, which has a shape harking back to a bell. The top of the curve suggests the mean, mode, and median of the records accrued.
The everyday distribution is a bell-fashioned and symmetrical distribution this is used to calculate the opportunity. in the everyday distribution, the mathematics means, mode, and median are usually the same, and the normal distribution is likewise called the Gaussian distribution.
Learn more about distribution here: https://brainly.com/question/27701525
#SPJ4