Answers
====================================================
Explanation:
Let x be the reference angle where the question mark is located.
Opposite this angle x is 27. The adjacent side is 38.
Use the tangent ratio to tie the two sides together
tan(angle) = opposite/adjacent
tan(x) = 27/38
x = arctan(27/38)
x = 35.3947958 .... which is approximate
x = 35.4
Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled [tex]\tan^{-1}[/tex] to help compute this.
Related Questions
Polygons Determine the measure of one through 12
Answers
Answer:
And there are twelve angles... So, the measure of the interior angle of a regular dodecagon is 150 degrees.
Step-by-step explanation:
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answers
Answer:
the correct answer is 1ft
Step-by-step explanation:
4ft-3ft
=1ft
i am requesting help on this asap
Answers
Ben says that 150 is a term in the sequence 3,9,15,21,27,... Ben right? Explain your answer
Answers
Answer:
No, Ben is not right.
Step-by-step explanation:
If we check the sequence of the numbers given, we can find that all of them is the odd multiple of the number three, i.e,
3,9,15,21,27.......
=> 3 (1,3,5,7,9......)
But 150 divided by 3 gives, 50, which is not an odd number, therefore, it will not come in this sequence.
Hope you understand.
Please mark it as the brainliest.
Thank You
No, Ben is not right. there is no term in the given sequence with a value of 150.
What is an arithmetic sequence?The difference between every two successive terms in an arithmetic series is always the same. The number "a" is the first term, and "d" is the common difference between the sequence. The nth term of an arithmetic sequence is given by. aₙ = a + (n – 1)d
The sequence given is an arithmetic sequence with a common difference of 6 since each term is 6 more than the previous one.
To find out if 150 is a term in the sequence, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d
where an is the nth term, a₁ is the first term, n is the number of the term we want to find, and d is the common difference.
Plugging in the values we know:
a₁ = 3
d = 6
To find n, we can use:
aₙ = 150
So, we have:
150 = 3 + (n - 1)(6)
Simplifying:
147 = 6n - 6
153 = 6n
n = 25.5
Since n is not a whole number, 150 is not a term in the sequence.
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Which expression is equivalent to 1/3b - 7
Answers
Answer:
The answer Is 1/3(b-21)
Step-by-step explanation:
find the area of the figure
area: units2
Answers
Answer:
Area of the figure = 25 square units
Step-by-step explanation:
Area of the given figure = Area of ΔCDE + Area of rectangle BCEI + Area of ΔABH + Area of GIF
Area of ΔCDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(CE)(DK)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 units²
Area of rectangle BCEI = Length × Width
= CE × EI
= 8 × 1
= 8 units²
Area of ΔABH = Area of ΔGIF = [tex]\frac{1}{2}(1)(1)[/tex]
= [tex]\frac{1}{2}[/tex] units²
Area of the complete figure = 16 + 8 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
= 25 units²
Based on the survey results, which is true about the t-shirts Mrs. Hanson should order?
Mrs. Hanson should order equal numbers of each type of shirt.
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Less than 25% of Mrs. Hanson's order should be polo shirts.
Mrs. Hanson should order 50% fewer v-neck shirts than polo shirts.
Answers
Answer:
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Step-by-step explanation:
Answer:
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Step-by-step explanation:
Can someone please help me with #’s 3 & 4?
Answers
Answer:
3. 3(n + 6),
4. 5(2n + 4)
Step-by-step explanation:
dunno if its possible to isolate the addition to have it done first without parenthesis.
is this true or false
Answers
Answer:
False
Step-by-step explanation:
CHECK MY ANSWERS PLEASE
The admission fee at a county fair is $2 for children and $4 for adults. Suppose that on the last day, 1600 people enter the fair and $5000 is collected. Choose the two equations that can be solved as a system of equations to determine how many children and how many adults attended the fair.
a − c = 1600********
4a + 2c = 5000
4a − 2c = 5000******
a + c = 1600
Answers
Answer:
Step-by-step explanation:
1600/4 . 5000/2 the adults is 400 and the children is 2500
Andre picks a block out of a bag 50 times and notes that 31 of them were green.
1. What should Andre estimate for the probability of picking out a green block from this bag?
2. Mai looks in the bag and sees that there are 5 blocks in the bag. What should the new estimate be with
this sample space?
Answers
Answer:
a.The estimate is 43/60
b.No, he should not change the estimate based on this information
Step-by-step explanation:
The estimate he would make is dividing the number of bricks which he sees as green by the total number of bricks. That would be the probability of selecting a green brick out of all the 60 bricks.
Mathematically this probability is 43/60
No, Andre should not change his estimate.
The reason is that we are only told that she looked in the bag and saw 6 bricks, we do not know whether the kind of bricks he saw were green in color. The only time it is necessary for Andre to change his estimate is when it is confirmed that the six bricks seen by Mai in the bag were essentially confirmed to be green. without this confirmation, the estimate should not be changed.
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Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slice did Tiffany eat?
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Find the volume of a cone with diamter 12 and height 8
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please TAKE A LOOK AT THIS MATH help me on my math work :(
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What is the value of f(4) if (x)=3x-10
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I just need to get this bs over with, anyone who know this please help lol
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Put these in order from least to greatest!: 6.879, 137/20, 6 10/11, 5.89
Thank you!!
Answers
5.89
137/20
6.879
6 10/11
मिनधन १.. 18,900 हुन्छ भन सावा रकम पता लगा
Find the sum that amounts to Rs. 18,900 in 4 years at
13
% per year simple interest.
2.
(Ans: Rs.15,000/
Answers
Answer:
Solution given:
principal [P]=P
time [T]=4 years
Rate [R]=13%
compound amount=18900
Simple interest=P-18900
we have
simple interest=[tex] \frac{P*T*R}{100} [/tex]
P-18900=[tex] \frac{P*4*13}{100} [/tex]
100P-1890000=52P
48P=1890000
P=1890000/48
P=39375
the sum that amounts =Rs 39375
A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of change? A. 1/2 B. 2 C. 5 D. 20
Answers
Answer:
Average Rate of change = 2
Step-by-step explanation:
Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.
To find - What is the rabbit's average rate of change?
Formula used -
Average rate of change of a function f(x) in an interval [a, b] is [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Proof -
Given that,
In 1 second - Rabbit hoops 8 meters
In 7 seconds - Rabbit hoops 20 meters
So,
Average Rate of change = [tex]\frac{20 - 8}{7 - 1}[/tex]
= [tex]\frac{12}{6}[/tex]
= 2
⇒Average Rate of change = 2
write 5040 in scientific notation
Answers
5.04 × 10³
This is the scientific notation.
Answer:
5.04*10³
Step-by-step explanation:
5.04*10³
if 8.7%, of the 210,000,000 american are unemployed,how many Americans are unemployed?x
Answers
Answer:
it would be 45%
Step-by-step explanation:
Answer:
18,270,000 Americans
Step-by-step explanation:
8.7 x 210,000,000 = 1827000000
take 2 zeros out of 1827000000
18,270,000
please help me i will mark brainliest pls i have been doing thhis for hours and i neede to pass the 7th grade
Answers
Answer:
521, 400
Step-by-step explanation:
with the 1cm= 100m scale
6.6cm= 660m
7.9cm=790m
so the area would be 660×790
which is 521,400 meters squared
ABCD is a parallelogram. Find x and the length of CD.
Answers
Answer:
3×+9=5x-5
-2×=-14
×=7...thenCD=3(7)+9=30
What data display would be best for the numbers and types of different species of fish
Answers
Answer:
Bar Chart
Step-by-step explanation:
The Bar graph is has immense capability in the aspect of data visualization. It is capable of grouping data into different categories, such as in the scenario above, where fishes are grouped based on species. These groups are then represented as vertical bars displaying the number of these species of fish. With this we can make comparison and inferences regarding the maximum, minimum and other summary statistics about the distribution.
To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual salary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013). The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress.
Job Average Annual Salary ($1000s) Stress Tolerance
Art directors 81 69
Astronomers 96 62
Audiologists 70 67.5
Dental hygienists 70 71.3
Economists 70 63.3
Engineers 92 69.5
Law teachers 92 62.8
Optometrists 100 65.5
Political scientists 98 60.1
Urban and regional planners 102 69
Required:
Draw scatter diagram for these data with average annual salary as the independent variable.
Answers
Answer:
Y = -0.09594X + 74.35629
Step-by-step explanation:
Given the data :
Job average annual salary (X) :
81
96
70
70
70
92
92
100
98
102
Stress tolerance (Y) :
69
62
67.5
71.3
63.3
69.5
62.8
65.5
60.1
69
Using technology, the linear model Obtian by fitting the given data is :
Y = -0.09594X + 74.35629 ;
Where ;
Y = stress tolerance (dependent variable)
X= Average annual salary (Independent variable)
Slope = 0.09594
Intercept = 74.35629
The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on research data, the claim is made that from the time shoots are planted 90 days on average are required to obtain the first berry. A corporation that is interested in marketing the product tests 60 shoots by planting them and recording the number of days before each plant produces its first berry. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed. What are the correct hypotheses?
a) H0:μ≠90
H1:μ=90
b) H0:μ=90
H1:μ≠90
c) H0:μ=92.3
H1:μ≠92.3
d) H0:p=92.3%
H1:p≠92.3%
e) H0:p=90%
H1:p≠90%
Answers
Answer:
b) H0:μ=90, H1:μ≠90
Step-by-step explanation:
The corporation wants to know if the mean number of days is different from the 90 days claimed.
This means that at the null hypothesis, we test if the mean number is the claimed value of 90, and so:
[tex]H_0: \mu = 90[/tex]
The corporations wants to know if the mean number is different, and thus, at the alternate hypothesis, we test if the mean number is different from 90, that is:
[tex]H_1: \mu \neq 90[/tex]
This means that the correct answer is given by option b.
Y-intercept = -4
• Slope = -1
2
y
10
9
8
2
6
5
4
3
2
-10
-9
-8
-7
-6
-5
- 4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
2
-3
-4
-5
-6
-7
-8
-9
-10
Answers
Answer:
First point: -4 on y axis.
Second point: (2, -5)
Step-by-step explanation:
When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept
y = mx + b
y = [tex]-\frac{1}{2}x-4[/tex]
Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.
En un experimento en el laboratorio, se
midió el tiempo que tardaba en derretirse
un cubo de hielo. A una temperatura de
60°F, el cubo tardó 1.5 horas en
derretirse. A una temperatura de 90°F, el
cubo se derritió en 1 hora.
¿Cuál explicación de k, la constante de
proporcionalidad en la relación entre
tiempo y temperatura, es CORRECTA?
Answers
The area of a parallelogram is 240 in. If the base is 15 inches, find the height.
Answers
Answer:
The height would be 16 hope this helps:)!!!
The area of a parallelogram is the length x the height.
You are given the area and the length.
To find the height divide the area by the length.
Height = 240/15 = 16 inches.
Jason has $6,700 in his bank account. He withdraws $1,900 from his bank account o pay for rent. Brett books a vacation 3-days later that costs $4,000. He withdraws $3,500 from his account and goes on a payment pay for the remainder
Answers
Answer:
thers no question
Step-by-step explanation:
Which statement must be true?
A. X
B. X=y
C. x >y
D. No relationship between x and y can be determined from the information given,
ILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
The statement true about the triangles is x < y
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔDEF
And , the measure of ∠ABC = x°
The measure of ∠DEF = y°
The measure of side AC = 15 units
The measure of side DF = 20 units
For a triangle , the longest side in a triangle is always opposite the largest angle, and the shortest side is opposite the smallest angle
Hence , the angle ∠DEF > ∠ABC of the triangle ( x < y )
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When is ur last day of school
Answers
Step-by-step explanation:
Supposed to be next Thursday but I get off this week since I finished half of my classes already.
Answer:
Next Friday so...May 28th
Step-by-step explanation:
-9 (-2) please answer
Answers
Answer:
18
Step-by-step explanation:
You can multiply 9 x 2 like normal to get 18. Then you look at the signs. They are both negative, meaning their product is positive, making the answer 18.
When you multiply two negative numbers, the product is positive.
What additional piece of information
would prove ALMK = ANMK by
Side-Angle-Side?
Answers
Answer:
MK bisects <LKN
Step-by-step explanation:
We can already say two sets of sides are equal; LK = NK because it is given and MK = MK because of reflexive property. In order to use Side-Angle-Side, we need to prove the angles between the sides are congruent. This means <LKM and <NKM. The only option that would help is with the is the lat option, MK bisects <LKN because, then we could say <LKM and NKM are congruent because MK would be an angle bisector. This is exactly what we want, so the answer is MK bisects <LKN.
4x + 6 = 30
What is the solution to the equation?
A. X= 4
B. X= 9
C. X = 6
D. X = 24
Nee
Answers
Answer:
x<-4
Step-by-step explanation:
because 4 multiplied by 6 equals 24, and adding 6, that equals 30