Answers
Answer:
1. 27.0 m
2. 28.0 degrees
Step-by-step explanation:
1. AB
To find AB, we start by getting the measure of the third angle A
Mathematically;
A + 90 + 51 = 180
The sum of angles in a triangle is 180
A = 180-90-51
A = 39
We then proceed to use the sine rule
Mathematically, the sine rule states that the ratio of the measure of a side and the sine of the angle facing the side is same for each side of the triangle
Thus, with respect to the given triangle;
17/sin 39 = x/sin 90
x = 17sin90/sin 39
x = 27.0 m
Kindly note that we substituted x for AB
2. To find the measure of angle A we use the sine rule as used above, but here we have a missing angle and not a missing side
Thus;
34/sin 127 = 20/sin A
Sin A = (20 sin 127)/34
sin A = 0.469
A = sin^-1 0.469
A = 28.0 degrees
Related Questions
Bobby hit the wrong lever and as a result the factory produced way too many cheese puffs. If the factory managers decide to to give away 1/3 of 1/9 of a ton away as samples, what fraction of a ton did they give away? Make sure you answer is fully reduced.
Answers
Given:
The factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples.
To find:
what fraction of a ton did they give away?
Solution:
According to the question, the factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples. So,
[tex]\text{Samples}=\dfrac{1}{3}\left(\dfrac{1}{9}(1\text{ ton})\right)[/tex]
[tex]\text{Samples}=\dfrac{1}{3}\times \dfrac{1}{9}\times (1\text{ ton})[/tex]
[tex]\text{Samples}=\dfrac{1}{27}\times (1\text{ ton})[/tex]
[tex]\text{Samples}=\dfrac{1}{27}(1\text{ ton})[/tex]
So, samples is [tex]\dfrac{1}{27}[/tex] of a ton.
Therefore, they give away [tex]\dfrac{1}{27}[/tex] of a ton as samples.
Two binomials were multiplied together and the result is represented by the 1 point
algebra tiles shown. What are the two original binomials?
Answers
Answer:
What are the answers?
Step-by-step explanation:
The graph of a linear relationship passes
through (0, 2), (1,5), and (3, 11) but not
through (2, 7). Which of the following is
the equation for this linear relationship?
A y= 2x + 3 Cy=5x
B y = 3x + 2
Dy= 4x - 1
Answers
Answer:
The equation of the linear relationship is y = 3x + 2 ⇒ B
Step-by-step explanation:
To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation
A.
∵ y = 2x + 3
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 2(0) + 3
∴ y = 0 + 3 = 3
∵ The y-coordinate is 2
∴ The point (0, 2) does not lie on the graph of the relationship
∴ The equation y = 2x + 3 doesn't represent the equation of the relationship
B.
∵ y = 3x + 2
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 3(0) + 2
∴ y = 0 + 2 = 2
∵ The y-coordinate is 2
∴ The point (0, 2) lies on the graph of the relationship
→ Use the second point (1, 5)
∵ x = 1
→ Substitute x by 1 in the equation
∴ y = 3(1) + 2
∴ y = 3 + 2 = 5
∵ The y-coordinate is 5
∴ The point (1, 5) lies on the graph of the relationship
→ Use the third point (3, 11)
∵ x = 3
→ Substitute x by 3 in the equation
∴ y = 3(3) + 2
∴ y = 9 + 2 = 11
∵ The y-coordinate is 11
∴ The point (3, 11) lies on the graph of the relationship
→ Use the fourth point (2, 7)
∵ x = 2
→ Substitute x by 2 in the equation
∴ y = 3(2) + 2
∴ y = 6 + 2 = 8
∵ The y-coordinate is 7
∴ The point (2, 7) doesn't lie on the graph of the relationship
∴ The equation of the linear relationship is y = 3x + 2
Find the equation of the line.
Use exact numbers.
y =
x+
Can I please get an explanation :)
Answers
Answer:
the equation is in form
y=mx+b where
m=slope
and
b=y-int (the y value for the vertex)
first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5
then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is
y=x+5
Step-by-step explanation:
Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.30 d. $16.40 Please select the best answer from the choices provided A B C D
Answers
Step-by-step explanation:
The approximate tip is - 12.30$
Because bill is 81.79$
and tip - 15%
therefore bill amount divided by 15/100
==> 81.79* 15% is 12.30$
Are the triangles congruent? and why?
Answers
Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a1 = 2 and r = 3
a5 = [ ?]
Answers
Since a1 = 4
a2 = 4 * (3) = 12 i.e( a1* common ratio)
a3 = 12 * (3) = 36 i.e( a2 * common ratio)
a4 = 36 * (3) = 108 i.e( a3* common ratio)
a5 = 108 * (3) = 324 i.e(a4*common ratio)
and so on
The fifth term is 162 in the geometric sequence.
What is geometric sequence?The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
What is arithmetic sequence?A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
Given data :
First term of sequence geometric (a₁) = 2
The common ratio of geometric (r) = 3
To determine the fifth term of geometric sequence
Let the fifth term of sequence = a₅
The nth term of a geometric sequence is expressed as :
Tₙ = a₁rⁿ⁻¹
Substitute the values of n = 5, a₁ =2 and r = 3 in the formula,
T₅ = (2)(3)⁵⁻¹
T₅ = (2)(3)⁴
T₅ = (2)(81)
T₅ = 162
Hence, the fifth term is 162 in the geometric sequence
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) Emma already owns 8 hair bands, and additional hair bands are priced at 3 for a dollar.
How much money does Emma need to spend on new hair bands in order to own a total of
47 hair bands?
Answers
Answer:$15.66
Step-by-step explanation:
please help ill give brainliest
Answers
Leo’s equation: V = 1/2(21)(7)(29)
Darcie: V = 1/2(13)(4)(19)
Explanation:
The formula for the volume of a triangular prism = 1/2(base)(height)(length)
In costal regions, some animals live above sea level and other animals live in the ocean. A sea star can be found at an ocean depth of two feet. How can you represent an ocean depth of two feet? 1.What do you know 2.What do you need to find 3.What is the answer
Answers
Answer:
- 2 feets
Step-by-step explanation:
Given that sea star can be found at an ocean depth of 2 feets ;
An ocean depth of 2 feets can be represented as :
Sea level - depth = 0 - 2 = - 2 feets
Hence, it can be concluded that sea star lives in the ocean
answer with work please
Answers
Answer: 1. 4
2. 12
3. 6
4. 8
Step-by-step explanation:
Please help..
Give a example of force applied to an object that dies not change the objects's velocity.
Answers
Answer:
friction
Step-by-step explanation:
Consider an object that's not moving, like a chair at rest on the floor. There are two forces acting on it:
• its own weight, pulling it downward
• the normal force, i.e. the floor pushing upward on the chair.
Both of these forces are non-vanishing, but the net force is 0, so the chair remains at rest and its velocity stays at 0.
A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue
Answers
1.8/1.8 : 3/1.8 = 1:1.67 and there you go.
Which fraction is represented by point A on the number line?
0
A
O-1
win W
1
3
Answers
Answer:
B
Step-by-step explanation:
it is
Because as u can see the line stops at -1. And A looks 1/3 away from from it so therefore it’s -1/3
what is the circumference
Answers
Answer: 69.43 cm
Step-by-step explanation:
Given: Arc length (JK) = 40.5 cm
Central angle ∠ JLK = 210°
Arc length = [tex]\dfrac{x}{360}\times\text{Circumference}[/tex]
[tex]\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm[/tex]
Hence, Circumference = 69.43 cm
help me i need the answer
Answers
9514 1404 393
Answer:
arc AB = 102°arc ADB = 258°Step-by-step explanation:
The measure of an arc is the measure of the corresponding central angle.
__
Short arc AB is shown as subtending a central angle of 102°, so the measure of arc AB is 102°.
__
The sum of arc measures in a circle is 360°, so the measure of arc ADB is 258°, the value that adds with 102° to make 360°.
What is the completely factored form of this polynomial? 4x4+12x2+9
Answers
write an equation in slope-intercept form if the slope is 1.5 and y-intercept is (0,3)
Answers
Step-by-step explanation:
The equation of the line is y = 1.5x + 3.
What is the significance of having short-term ínvestrnents?
Answers
Answer:
You can cancel your investment without wasting a lot of money.
Step-by-step explanation:
Short-term means that you dont have it for a long time, so you could basically wait it out and then cancel.
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more! <3 me
Answer:
Short-term investments, also known as marketable securities or temporary investments, are those which can easily be converted to cash, typically within 5 years. Many short-term investments are sold or converted to cash after a period of only 3-12 months. Some common examples of short term investments include CDs, money market accounts, high-yield savings accounts, government bonds and Treasury bills. Usually, these investments are high-quality and highly liquid assets or investment vehicles.
Step-by-step explanation:
What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?
A.) acute scalene triangle
B.) right isosceles triangle
C.) equiangular equilateral triangle
D.) obtuse scalene triangle
Answers
Answer:
D.) obtuse scalene triangle
Step-by-step explanation:
acute triangle: 3 acute angles
right triangle: 1 right angle, 2 acute angles
obtuse triangle: 1 obtuse angle, 2 acute angles
scalene triangle: no congruent sides
isosceles triangle: 2 congruent sides
equilateral triangle: 3 congruent sides
The question is:
"What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?"
That means scalene and obtuse.
Answer: D.) obtuse scalene triangle
The triangle is an obtuse scalene triangle, the correct option is D.
What is a Triangle?A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides,
When the measure of all the angles of a triangle is less than 90 degree, it is an acute angle triangle.
When the measure of one of the angle of a triangle is equal to 90 degree, it is a right angled triangle.
When the measure of one of the angle of a triangle is greater than 90 degree, it is called an obtuse angle triangle.
When the measure of all side is different, it is a scalene triangle.
When the two side of a triangle is equal, it is an isosceles triangle.
When all the sides of a triangle is equal, it is an equilateral triangle.
The condition given in the question is triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°, it is an obtuse scalene triangle.
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Which of the following functions best describes this graph?
A. y = x^2 - 8x +18
B. y = (x+4)(x+5)
C. y = x^2 -9x +20
D. y = (x-3)(x+4)
Answers
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see the roots at two points
these are points x = 4 and x = 5
This can be written in their linear forms as;
x-4 and x-5
Finding the products of both, we have
x(x-5) -4(x-5)
= x^2 -5x -4x + 20
= x^2 - 9x + 20
HELPPPPPPPPPPPPPPPPPPP!!!
Answers
Answer:
15.13cm
Step-by-step explanation:
From that above question:
We are told that:
Lateral surface area of a right circular cone : πr√r² + h²
We are give the following parameters:
Lateral surface area = 236.64cm²
Radius = 4.75cm
We are to find the height
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)²- π ×4.75²]/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the
number of videos. Identify the independent and dependent variables. Then, write a rule
in function notation for the situation.
Answers
Answer:
Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25
Step-by-step explanation:
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Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket
Answers
Step-by-step explanation:
Let x be the price of an adult ticket.
Then 0.5x is the price of a child ticket.
We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.
Hence the price of an adult ticket is £38.
Answer:
Step-by-step explanation:
2a+4c=152
2c=a
4c+2a=152
2c-a=0
Use simultaneous equation
Substitute 2c=a
c=a divided by 2 in the first equation and find value of a and c
Please explain your answer and show your work
Answers
9514 1404 393
Answer:
A. 6b³
B. 6b +6
C. p = 0.0375(6b³ +b +1)
D. $115.54
Step-by-step explanation:
Given:
3 candles with dimensions b×b×b, b×b×2b, and b×b×3b
with wicks of lengths b+2, 2b+2, 3b+2
wick costs $0.005/cm; wax costs $0.03/cm³
selling price is material cost + 25%
Find:
A. an expression for total volume
B. an expression for total wick length
C. an expression for the purchase price of a set
D. purchase price for a set with base area 64 cm²
Solution:
A. The sum of the volumes of the three candles is ...
v = b³ +2b³ +3b³
v = 6b³
__
B. The sum of the wick lengths is ...
L = (b +2) +(2b +2) +(3b +2)
L = 6b +6
__
C. The selling price is 25% more than the cost of materials so is ...
p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375
p = 0.0375(6b³ +b +1)
__
D. The side of the base is the square root of the base area, so is ...
b = √(64 cm²) = 8 cm
Then the price of a set of candles is ...
p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54
Purchase price for a candle set with a base area of 64 cm² is $115.54.
Blake is working two summer jobs, making $9 per hour washing cars and making $22 per hour tutoring. In a given week, he can work no more than 16 total hours and must earn no less than $220. If x represents the number of hours washing cars and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
9x + 22y ≥ 220
x + y ≤ 16
Step-by-step explanation:
First x is number of hours washing cars and y is number of hours tutoring.
He makes $9 per hour on cars, $22 per hour tutoring. So we use variables as substitutes for actual values.
That is 9x + 22y. He can't make less than 220, so use the sign greater or equal to 220.
He also must work no more than 16 hours. Total hours is x+y, and no more than 16 means use the sign less than or equal to.
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The number of hours washing cars and number of hours tutoring, if Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring, are 10.2 and 5.85 respectively. The graph is also attached below.
What is equation?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in, 3x + 5 Equals 15, instances.
Given:
Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring,
Total working hour = 16
Total money to be earned = $220
Write the equation of the above statement as shown below,
x + y = 16
9x + 22y = 220
Solve the above equation using a graph,
y = 5.85 and x = 16 - 5.85 = 10.2
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Students rent buses and vans for a trip to Disneyland. There were 12 buses and 8 vans and 360 students. A) write an equation to show the relationship described above. B) if there are 12 students on every van, how many kids are on each bus?
Answers
The bowl has a diameter of 10 inches. What is its radius?
Answers
The bowl has a of 5 inches.
What is the relation between radius and diameter?The diameter is the measurement along the circle's widest point. Thus, that is the circle's diameter. It is pretty simply related to the radius. The radius divided by two gives the diameter.
Given
d = 10 inches
d = 2r
r = d/2 = 10/2 = 5
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What is the measure of anglez in this figure?
Enter your answer in the box
430
z=
Answers
180 - 43 = 137
Susan can swim 105 meters in 70 seconds. At this rate, how far can she swim in 30 seconds?
Answers
Answer:
45 meters per 30 seconds
Step-by-step explanation:
To figure this question out you first gave to find the unit rate of meters per second by dividing 105 by 70.
105 divided by 70 = 1.5
So Susan can swim 1.5 meters per second.
Then we multiply that amount by 30 to find the number of meters she can swim in 30 seconds.
1.5 x 30 = 45 meters
So, in conclusion, Susan can swim 45 meters per 30 seconds