Answers
ANSWER
18.1
EXPLANATION
AC is the shortest leg of triangle CAD. The hypotenuse is AD = 30 and AC is the opposite leg to the given angle, m∠ADC = 37°.
We can find the length of side AC using the sine of the given angle,
[tex]\begin{gathered} \sin 37\degree=\frac{AC}{AD} \\ \\ \sin 37\degree=\frac{AC}{30} \end{gathered}[/tex]Solving for AC,
[tex]AC=30\sin 37\degree=18.1[/tex]Hence, the length of AC is 18.1.
Related Questions
value b
3(b + 4) + 5b = 44
11
4
2
9
Answers
Answer:
4
Step-by-step explanation:
[tex]3b+12+5b=44 \\ \\ 8b+12=44 \\ \\ 8b=32 \\ \\ b=4[/tex]
p(x)=1/2(x-2)(2x-3)(4x+7)
Answers
The simplified expression for the polynomial is 2y = 8x³− 14x²− 25x+ 42
A mathematical formula that uses integer variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).
A polynomial is an equation made up of exponents, constants, and variables that is combined using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable)The given function is p(x)=1/2(x-2)(2x-3)(4x+7)
The simplified form of the function can be written as
2y = 8x³− 14x²− 25x+ 42
Now we know that the roots of the equation are 2 ,3/2 and -7/4.
The graph of the function is attached below.
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willie buys a hot rod magazine for $7 and intends to stock up on pork rinds at 2$ a bag. he bought $15 write and inequality that represents how many bags of pork rinds willie can buy algebra
Answers
What is the angles of these letters?
Answers
In the picture there is a diagram with angles. By supplementary and alternative angles we get the angles are ∠a=∠e=112°,∠b=∠c=∠d=68°.
Given that,
In the picture there is a diagram with angles,
We have to find the angles of the given diagram.
The one angle is given as 68°.
The angle a is
By supplementary,
∠a+68°=180°
∠a=180°-68°
∠a=112°
The angle b as
Alternative angles are equal
∠b=68°
We take the interial angle of triangle as x.
By alternative angles,
∠a=∠x
∠x=112°
The angle e is
By alternative angle,
∠e=∠x
∠e=112°
The angle d as
By supplementary,
∠d+∠e=180°
∠d+112°+180°
∠d=180°-112°
∠d=68°
The angle c as
By alternative angle,
∠d=∠c
∠c=68°
Therefore, the angles are ∠a=∠e=112°,∠b=∠c=∠d=68°.
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Samantha ran at a constant speed. she ran 1 mile in 10 minutes. write an equation that represents the amount of time t ( in minutes) that it takes her to run a distance of d miles?
Answers
Answer:
d=t10
Step-by-step explanation:
The gas mileage of cars more than 20 years old is a normally distributed data set with a mean of 23.04 miles per gallon and a standard
deviation of 3.31.
What is the z-score of a car that gets 29 miles per gallon?
Answers
1.800 is the z-score of a car that gets 29 miles per gallon.
Mean μ = 23.04 miles per gallon
a standard deviation σ = 3.31 miles per gallon
the z-score of a car that gets 29 miles per gallon
[tex]Z = x -[/tex]μ /σ
Z = [tex]\frac{29- 23.04}{3.31 }[/tex]
Z = 1.800
What is standard deviation?Standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of the variance by determining the deviation of each data point from the mean.
If the data points are farther from the mean, there is more variance within the data set; therefore, the wider the data is spread, the larger the standard deviation.
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need asap pleasee will give 30 points and brainiest if its correct
Answers
[tex]{ \sf{option(a)}}[/tex]
The statement For all real numbers a, b and c, if a = b, then a - c = b - c represents the subtraction property of equality.
What is the answer to this equation:
1.23(p − 5) + –9 = –5.31
Need answer ASAP!!! :) like actually.................
PLEASE HELP MEEEE
Answers
Answer: p=8
Step-by-step explanation: 1.23p−15.15=−5.31Move the constant to the right side1.23p=−5.31+15.15Add the terms1.23p=9.84Divide both sides1.231.23p=1.239.84Simplify1.231.23p=8Solutionp=8
6x+5=8+6x
Please help me asap!
Answers
Answer:
This equation has no answer. Since both variables are the same
Step-by-step explanation:
6x + 5 = 8 + 6x
6x = 3 + 6x
if we subtract the 6x from eachother we get
0 ≠ 3 which is incorrect
Please help meee!! Like ASAP
Answers
Answer:
Step-by-step explanation:
x=30 is false.
x=y is false.
x+z=90 is true.
x+y+z=180 is false.
Answer: x=30 TRUE, x=y FALSE, y+z=90 TRUE, x+y+z=180 FALSE
Step-by-step explanation:
X=30 is true because each side is 90 degrees, and we already are given two values, 20 and 40. So to find x you do
90-(20+40) or 90-60.
This equals 30.
X=Y is false because we just saw that x is 30 degrees, and y looks to be 45 degrees. [tex]30 \neq 45[/tex]
Y+Z=90 is true because each side of the line is equal to 90 degrees and since there are two values y and z, we can do:
90/2=45.
This means that both y and z are 45 degrees and 45+45 is 90.
X+Y+Z is false because we have all of the values of them and when we add all of them together:
30 + 45 + 45
we get 120.
[tex]120 \neq 180[/tex]
Please mark Brainliest!
Find the measure of angle b.
b
43°
Answers
We conclude that the measure of angle ∠b is 43°.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.So, a measure of angle b:
Let us name the other angle as c:
∠c = 43°As we can clearly observe that ∠c and ∠b are vertically opposite angles.
Then, ∠c = ∠b.Hence, ∠b = 43°.
Therefore, the measure of angle ∠b is 43°.
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please help me with this !
Answers
(A) Table of values
x y
1 22
2 29
3 36
4 43
5 50
6 57
(C) The function which represents the statement is y(x) = 7x + 15 where x is the number of weeks.
Anthony has $15 and wants to save $7 per week.
Let the number of weeks be x and the amount he saved be y.
Then, the function that represents the situation is:
y = 7x + 15
Therefore,
y(1) = 7(1) + 15 = 22
y(2) = 7(2) + 15 = 14 + 15 = 29
y(3) = 7(3) + 15 = 21 + 15 = 36
y(4) = 7(4) + 15 = 28 + 15 = 43
y(5) = 7(5) + 15 = 35 + 15 = 50
y(6) = 7(6) + 15 = 42 + 15 = 57
So, the table of values is:
x y(x) = 7x + 15
1 22
2 29
3 36
4 43
5 50
6 57
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where does the line cross the y axis on the line y=-3x+15
Answers
Answer: 15
Step-by-step explanation: in y=mx+b B= the y-intercept aka where the line touches the y axis
Answer:
Y= 15 or (0,15) that is the answer, hope it's not to late
a linear equation of a line that is parallel to 2y-6x=6 and crosses through point (0,3)
Answers
Because of the high cost of living, Kathlego, Tessa, and Zane each hold down two jobs, but no
two have the same occupation. The occupations are doctor, engineer, teacher, lawyer, writer
and painter
Answers
Kathlego, Tessa, and Zane all work two jobs to make ends meet due to the high cost of living.
The attorney and painter is Kathlego.
Tessa is a doctor and an engineer.
The educator and author is named Zane.
Given that,
Kathlego, Tessa, and Zane all work two jobs to make ends meet due to the high cost of living, however there are both work in the same field. Doctor, engineer, teacher, lawyer, painter, and writer are among the professions.
As soon as we realize that Zane "is not the doctor," we immediately rule off that possibility and move on to the other professions.
Given that "Zane beat Tessa and the painter at tennis," we can infer that Tessa and the painter are no longer together, which makes Kathlego the Painter.
We currently have.
Kathlego is an painter.
We can now go on to "The painter was engaged by the doctor to do the task." The fact that Zane is not the doctor and we know the painter is Kathlego gives us a huge hint. Tessa is therefore unquestionably a doctor.
We currently have:
A painter, Kathlego.
Tessa is a engineer.
We may now infer that the person is one and the same because we have "The teacher and the writer went fishing with Kathlego." We can rule out Kathlego and Tessa as the teacher and writer because they each have two jobs. Thus, we are left to assume that Zane is the instructor and author.
We currently have:
A painter, Kathlego.
Tessa is a engineer.
Both a writer and a teacher, Zane.
Consequently, the lawyer, Kathlego, is the last task left for us to complete.
Therefore,
The attorney and painter is Kathlego.
Tessa is a doctor and an engineer.
The educator and author is named Zane.
Complete question: 3. *Because of the high cost of living, Kimberly, Terry,and Otis each hold down two jobs, but no
two have the same occupation. The occupations are doctor, engineer, teacher, lawyer, writer,
and painter. Given the following information, determine the occupations of each individual:
a.) The doctor had lunch with the teacher.
b.) The teacher went fishing with Kimberly, who is not the writer.
c.) The painter is related to the engineer.
d.) The doctor hired the painter to do a job.
e.) Terry lives next door to the writer.
f.) Otis beat Terry and the painter at tennis.
g.) Otis is not the doctor
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Describe the transformation of the parent function y=|x|. y=|x-1|-5
Answers
The required transformation of the function is 1 unit left and 5 unit down.
Given that,
To determine the transformation of the parent function y=|x|. y=|x-1|-5.
The graph is a demonstration of curves which gives the relationship between the x and y-axis.
Here,
The function y=|x| is an absolute function,
when we add 1 unit left and 5 unit down to the function, the function arises as y=|x-1|-5. It implies the transformation of function as -1 on the x-axis and -5 units on the y-axis.
Thus, the required transformation of the function is 1 unit left and 5 unit down.
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Giselle states that if bianca calls out any two side measures of her triangle and one angle measure of her triangle, giselle will be able to draw a triangle congruent to bianca's triangle. is giselle's statement sometimes, always, or never true? use concepts of rigid motion to justify your answer.
Answers
Yes, Giselle's statement is always true, she can draw a congruent triangle with the help of two sides and one angle, this rule of congruence is called the SAS property of congruency.
Giselle can create the precise triangle if Bianca gives her two sides and one angle.
Both triangles will now be congruent by SAS (side angle side) congruency.
Giselle's claim will always be accurate according to the congruency theorem.
The acronym "SAS" stands for side, angle, and side, and it makes it apparent that if any two sides and one angle of two triangles are the same, then those triangles are said to be congruent with one another.
For instance, if the triangle ABC has dimensions of 2 cm by 3 cm by 6 cm and the triangle PQR has dimensions of 4 cm by 3 cm by 6 cm and has an angle of 75 degrees, both of these triangles will be regarded as congruent triangles by the SAS theorem.
Simply put, two triangles are said to be congruent if their two sides and one angle are similar to those of another triangle.
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Answers
Answer: Brainly got this! 87 million
Step-by-step explanation:
A rectangular window is topped with a semi circle. The height of the rectangular part is 1 more than 3 times its width, w meters. which function represents the total area, A, of the window in terms of the width?
Answers
The total area of the rectangular window is given by the expression:
w × (1 + 3w) + π(w/2)² .
In current mathematics, area is very important. Area is connected to the determination of determinants in linear algebra and is a basic property of surfaces in differential geometry, in addition to its utmost important in geometry and calculus. The area of a copy of the plane is determined in analysis using the Lebesgue measure, albeit not every subset is measurable. In higher mathematics, area is viewed as a specific case of volume for this double regions.
the width of the window is given as w
This is the diameter of the semicircle. hence the radius will be w/2
height of the window = 1 + 3w
area of the rectangle = w × (1 + 3w)
area of the semicircle = π(w/2)²
total area = w × (1 + 3w) + π(w/2)² .
Therefore of the given options the total area of the window is
w × (1 + 3w) + π(w/2)² .
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crud matrices are created by creating a matrix that lists the classes across the top and down the side. group of answer choices true false
Answers
The given statement is true.
What is matrices ?
A matrix is a collection of numbers that are arranged in rows and columns to create a rectangular array. The elements of the matrix, also known as the entries, are the integers. Matrices are used extensively in many fields of mathematics as well as in engineering, physics, economics, and statistics.
Here ,
Create, Read or Reference, Update, and Delete are all parts of the acronym CRUD. These four interactions between classes in a system are feasible. In order to find possible partners while developing a communication diagram, an analyst would establish a CRUD matrix.
Here the CRUD matrices are created by lists the classes across the top and down of the side.
Hence the given statement is TRUE.
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Starting at noon, Fatoumata observed the amount of snow on her lawn during a blizzard. She wrote an equation to represent ss, how many inches of snow were on the lawn: s=8+0.01xs=8+0.01x, where xx represents the number of minutes past noon. What is the meaning of the ss-value when x=1x=1?
Answers
The value of the inches of snow in 1 minute is 8.01 inches.
What is a expression?It should be noted that an expression is important to show the relationship between the variables.
In this case, the expression is given as:
s = 8 + 0.01x
where x = the number of minutes past noon.
s = inches of snow.
In this case, when x = 1, the value will be
s = 8 + 0.01x
s = 8 + 0.01(1)
s = 8.01
The snow is 8.01 inches.
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Answer:
Step-by-step explanation:
he value of the inches of snow in 1 minute is 8.01 inches.
What is a expression?
It should be noted that an expression is important to show the relationship between the variables.
In this case, the expression is given as:
s = 8 + 0.01x
where x = the number of minutes past noon.
s = inches of snow.
In this case, when x = 1, the value will be
s = 8 + 0.01x
s = 8 + 0.01(1)
s = 8.01
The snow is 8.01 inches.
3. What is the variance of the following set of data?
4, 44, 404, 244, 4, 74, 84, 64
Use 82 =
Σ(x₁ - x)²
(N-1)
O139
O130
O19,298
16,886
Answers
Answer:
16,886
Step-by-step explanation:
The last answer! Pls mark me brainly!
The cylinder below has a curved surface area of 352 m² and a length of 16 m. Work out the total surface area of the cylinder. Give your answer to 3 s.f?
Answers
The total surface area of the cylinder in question is 428.93 m².
How are the parameters of a cylinder determined?
A cylinder is a three-dimensional solid with a parallel circular base and top. The overall height of the cylinder is the perpendicular distance between the top and base.
The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area.
Total Surface Area is the combined area of the bases and the curved surface.
Mathematically, curved surface area = 2πrh, where r = radius, h = height of cylinder;
Total surface area = 2πrh + 2πr², where r = radius, h = height of cylinder.
Given, the curved surface area of the cylinder = 352 m²
Height of the cylinder = h = 16 m
Using the formula established above, we have 2πrh = 352 --(i)
Substituting other values in (i), we get 2*3.14*r*16 = 352 ⇒ r = 3.50 m
Again, total surface area of cylinder = 2πrh + 2πr²
Substituting all values, we get TSA = (2*3.14*3.50*16) + (2*3.14*3.50²)
= 428.93 m²
Thus, the total surface area of the cylinder in question is 428.93 m².
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evelyn won an election by a ratio of 6 to 5. if she received 7,230 votes, how many votes did her opponent receive?
Answers
6025 were the votes recieved by her opponent.
What is a ratio ?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
CalculationDivide the votes she received by the 6 parts of the ratio to find the value of one part of the ratio, that is
7230 ÷ 6 = 1205 ← value of 1 part of ratio
Her opponent received 5 parts, thus
votes received by opponent = 5× 1205 = 6,025
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find the missing number for 6hrs
Answers
Answer:
$51
Step-by-step explanation:
You just times $8.50 with 6
Lera comes to the swimming pool once every 12 days. victor comes every 4 days and oksana comes every 10 days. last monday, all three were at the pool. in how many days will they all be at the pool again?
Answers
The three Lera, Victor and Oksana will meet in the pool again in 60 days
How to find the how many days will they all be at the pool again?The question is solved using the concept of Least common multiple: The Least common multiple refers to the least multiple that 12, 10, and 4 have in common
How to get the least common multiple LCMwe therefore solve the LCM as follows
2 | 12, 4, 10
2 | 6, 2, 5
3 | 3, 1, 5
5 | 1, 1, 5
| 1, 1, 1
= 2 * 2 * 3 * 5
= 60
From the calculation the numbers 4, 10, 12 have a least common multiple of 60. Therefore the Lera, Victor and Oksana will meet in the swimming pool 60 days.
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What is the y-intercept of 5x+4y=−40 ?
Responses
A- (−10,0)
B- (0,−10)
C- (8,−10)
D- (0,8)
Answers
The y-intercept of 5x+4y=-40 is (0,-10 )
A quadratic equation is expressed in its standard form as y=ax2+bx+c, where x and y are variables and a, b, and c are well-known constants. Substitute 0 for x in a quadratic equation and solve to obtain the y-intercept. The value of c in the equation is always the value of the y-intercept.
Given equation :
5x+4y=-40
To find x-intercept substitute 0 in y and solve for x
5x+4(0)=-40
5x=-40
x=8
so the x intercepts = (8,0)
To find y-intercept substitute 0 in x and solve for y
5(0)+4y=-40
4y=-40
y=-10
here the y-intercepts = (0,-10)
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Damian has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs 195 points for a free movie ticket.
Which equation could be used to determine vv, the number of visits Damian must make to earn a free movie ticket? I need just the equation alright
Answers
The equation that could be used to determine v, the number of visits Damian must make to earn a free movie ticket is 20 + 12.5v = 195
How to calculate the equation?Based on the information, the following can be illustrated:
He receives 20 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs 195 points for a free movie ticket.
The equation will be:
20 + (12.5 × v) = 195
20 + 12.5v = 195
where v = number of visit
The equation is 20 + 12.5x = 195
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P is the center of the circle.
Identify three congruent triangles and explain how to show
that they are congruent.
Answers
The three congruent triangles in this problem are given as follows:
LPN, MPL and PLN.
What are congruent triangles?When triangles have the same side lengths, they are called congruent.
For a circle, we need to know that:
The radius of the circle is the distance of the center to any point in the circumference of the circle.The diameter of the circle is the length of a line through the center that touches two points on the circumference of the circle.Hence, for this triangle, we have that:
The following segments represent the radius: PL, PN and MP.These following segments represent the diameter: LN, MN and ML.The three triangles in this problem are given as follows:
LPN, MPL and PLN.
Since each triangle is composed by two segments that represent the radius of the circle and one segment representing the diameter, they have the same side lengths, hence they are congruent triangles.
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Elizabeth Oliver sells luxury cars. She earns a 4% straight commission. Last month her sales totaled $128,000.00. What was her commission?
Answers
Elizabeth Oliver is a vehicle salesperson. She receives a flat commission of 4%. Her sales for the past month came to $128,000. She receives the commission of $3200000.
Given that,
Elizabeth Oliver is a vehicle salesperson. She receives a flat commission of 4%. Her sales for the past month came to $128,000.
We have to find what was her commission.
To find the her commission we have to divide the sales month amount and the commission she receives.
=$128,000/4%
=$128,000/0.04
=$3200000
Therefore, She receives the commission of $3200000 when the commission is 4%.
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