Answers
9514 1404 393
Answer:
31.243 units
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.
Sin = Opposite/Hypotenuse
sin(30°) = BE/100
BE = 100·sin(30°)
Then ...
Tan = Opposite/Adjacent
tan(58°) = BE/x
x = BE/tan(58°) = 100·sin(30°)/tan(58°)
x ≈ 31.243 . . . . units
_____
Comment on the figure
The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.
Related Questions
3RD TIME PLS REALLY NEED THIS
Answers
Answer:
Part A: a) Corresponding angles
Part B: b) 12x - 10 = 10x + 8
Part C: x = 9
m<1 = 98
m<2 = 82
Explanation:
B)
Since they're corresponding angles, they're equal to each other:
12x - 10 = 10x + 8
C)
12x - 10 = 10x + 8
2x = 18
x = 9
m<1:
12(9) - 10 = 98
m<2:
98 + y = 180
y = 82
9514 1404 393
Answer:
A. a
B. b
C. 9, 98, 82
Step-by-step explanation:
See attached.
"Corresponding" angles are those in the same direction from the point of intersection. Here, angles 1 and 3 are both northwest of the intersection point, so are corresponding.
From ...
12x -10 = 10x +8
2x = 18 . . . . . . . . . . . add 10-10x to both sides of the equation
x = 9 . . . . . . . divide by 2
Angles 1 and 3 are the same measure, so we choose the easier expression to evaluate mentally. Multiplying by 10 is easier than by 12, so we use 10·9+8=98 as the measure of angles 1 and 3. Angle 2 is the supplement of this.
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Answers
Answer:
7. 225, 315
Step-by-step explanation:
Find the difference. Your answer must be in standard form.
(8x5 + 6x3 – 4x2 + 10x) - (2x – 23 – 17x2 + 9) =
Answers
Answer:
the answer is -x5 + 7x3 + 11x2 + 10x - 4
Step-by-step explanation:
If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE
Answers
Answer:
this hurts my brain x_x my non-existent brain....
1) Diameter = 16
Circumference = 50.25
Area = 200.96
2) Radius = 12
Circumference = 75.36
Area = 452.16
3) Diameter = 12
Circumference = 37.68
Area = 113.04
4) Radius = 3
Circumference = 18.84
Area = 28.26
5) Diameter = 28
Circumference = 87.92
Area = 615.44
6) Radius = 5
Circumference = 31.4
Area = 78.5
7) Radius = 16
Circumference = 100.48
A= 803.84
8) Diameter = 38
Circumference = 119.33
Area= 1133.54
9) Radius = 15
Circumference = 35.1
Area= 706.5
Mr. Choe solved the inequality and his work is shown below. 3x+5≤−1 −5 −5 3x≤−6 ÷3 ÷3 x≥−2 Identify and explain Mr. Choe's error.
Answers
Answer:
x ≤ - 2
Step-by-step explanation:
Given the inequality :
3x+5≤−1
Subtract 5 from both sides
3x + 5 - 5 ≤ - 1 - 5
3x ≤ - 6
Divide both sides by 3
3x/3 ≤ - 6/3
x ≤ - 2
Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.
UGRENT PLEASE RESPOND QUICKLY
Answers
Which is equation is equivalent to 3 = 87 divided by h
Answers
Answer:8 5/9
Step-by-step explanation:
Some one please help!
Answers
Answer:
3 2/3
Step-by-step explanation:
1 + 2 = 11
3 5 15
11 × 5 = 55 = 3 2/3
15 1 15
The dot plot shows how much hairdressers in Margot's area charge for a woman's haircut. The least expensive cut is $25. Margot described the data as having a spread from $25 to $47, seven gaps, a cluster from $35 to $36, and a center of $37.
Where did Margot make an error?
Answers
Answer:The center is at $36.
Step-by-step explanation:
Answer:
it would be 36.
Step-by-step explanation:
i did it my self
Please help I don’t get it
Answers
Answer:
4.718592
Step-by-step explanation:
To get to -14.4 from 18 you multiply 18 x 0.8
Repeat that until you get to the 7th term
18 (1st)
18 x 0.8 = -14.4 (2nd)
-14.4 x 0.8 = 11.52 (3rd)
11.52 x 0.8 = 9.216 (4th)
9.216 x 0.8 = 7.3728 (5th)
7.3728 x 0.8 = 5.89824 (6th)
5.89824 x 0.8 = 4.718592 (7th)
HELP ASAP!! BEST ANSWER GETS BRAINLY! pls only answer if u know the answer this is a test!
Which answer is the slope-intercept form for the given equation? 1/3x+2y=4/3
y=2/3x+4/3
y=−1/6x+4/3
y=−2/3x+2/3
y=−1/6x+2/3
Answers
Answer:
It's the fourth one y=-1/6x+2/3
Step-by-step explanation:
Which of the following numbers are less than-0.625. The numbers are -8/5 -5/8 -0.5 choose all that apply
Answers
Answer:
-8/5 = -1.6
-5/8 = -0.625
-1/2 = --0.5
Step-by-step explanation:
The number that is less then -0.625 is -8/5 which is -1.6
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Answers
hope you pass your quiz!
Line segment AB has endpoints A(0, 3) and B(2, 2). What is the midpoint of
line segment AB?
Answers
If x varies inversely as y and x=15 when y=-4, find x when y=-6.*
Answers
Answer:
x = 10
Step-by-step explanation:
x = k/y
15 = k/-4
k = -60
x = -60/-6
x = 10
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT PLS DONT GET WRONG IF U DONT KNOW
Answers
Answer:
C) x = 9
Step-by-step explanation:
6/4 = x/6
4x = 36
x = 9
On Friday 1/3 of 180 bottles of water on a supermarket shelf were dold. On Saturday 3/5 of the remainder were sold. All the remaining bottles were sold on Sunday. a) How many bottles were sold on Sunday. b) How many more bottles of water were sold on Saturday than on Friday?
Answers
To find 1/3 of 180, we need to multiply 180 by 1/3, or divide 180 by 3. For this one, we will try both methods.
180/1 x 1/3 = 180/3 or 60
180 / 3 =60
Since we now know how much was sold, we need to find what is left. We need to subtract 180 by 60.
180-60=120
So 120 bottles are left. Now, since 3/5 of 120 were sold the next day, we need to multiply 120 by 3/5.
120/1 x 3/5 = 360/5 or 72.
Now we know that 72 bottles were sold on Saturday. Subtract 120 by 72 to know how much is left in total.
120-72=48
60 bottles of water were sold on Friday.
72 bottles of water were sold on Saturday.
There were 12 more bottles sold on Saturday than Friday.
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hope it helps
find the value of given expression
[tex] \sqrt{9563 \times 9563} [/tex]
Answers
9563
A vehicle uses 2 3/4 gallons of gasoline to travel 33 miles. At this rate, how many miles can the vehicle travel her gallon of gasoline?
Answers
Please help meeeeee thanksss
Answers
Answer:
Step-by-step explanation:
it's 3 hmmm it tells you rise over run.. just about where they are asking for the answer.. what do you not get about the question?
1
If a 14 foot ladder is leaned against a wall and is placed 5 feet away from
the wall, how high up the wall does the ladder reach? Round your answer to
the nearest tenth if necessary.
6.2 ft
13.1 ft
14.9 ft
9 ft
Answers
Write the equations of two lines that are parallel to the line
3x – 6y – 5 = 0.
Answers
If f(x)=1−x
2
+x
3
, then f(−1)=
Answers
Answer:
-1
Step-by-step explanation:
if -1 is to replace the x in the equation of f -1 then you fill it in and the equation would be 1 - (-1 * -1) + (-1 * -1 * -1) and if you put the equation together you'll just get -1
How many grams are equal to 3,418 milligrams? Use the placement of the decimal point when dividing by a power of 10 to help you.
34.18 grams
34,180 grams
3.418 grams
314.8 grams
Answers
Answer:
3.418 grams
Step-by-step explanation:
please mark me as brainliest
A 135.8 foot wire is attached to the top of the tower. If the wire is attached to the ground 30 feet from the bottom of the tower, then what angle does the wire make with the ground?
Answers
Answer:
77.23°
Step-by-step explanation:
Given that,
A 135.8 foot wire is attached to the top of the tower.
The wire is attached to the ground 30 feet from the bottom of the tower.
It means,
If we consider a triangle such that hypotenuse is 135.8 foot and base is 30 feet, it means we can use the trigonometry as follows :
[tex]\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{30}{135.8}\\\\\theta=77.23^{\circ}[/tex]
So, the angle the wire make with the ground is equal to 77.23°.
A college surveys local businesses about
the importance of students as customers.
The college chooses 150 businesses at
random from telephone listings. Of these,
68 return the questionnaire. The sample is:
A. The set of all local businesses
B. The 68 businesses who returned surveys
C. The 150 businesses who were sent surveys
D. All the students at the college
Answers
Using sampling concepts, it is found that the sample is given by:
C. The 150 businesses who were sent surveys.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, a group of 150 businesses(sample) is taken from the telephone listings(all the businesses in the listings is the population), hence option C is correct.
More can be learned about sampling concepts at https://brainly.com/question/25122507
#SPJ1
b. the 68 businesses who returned surveys
Please please help with this!!
Answers
Answer: 115
Step-by-step explanation:
Answer:
115 degrees
Step-by-step explanation:
A quadrilateral is always equal to 360 degrees.
You add up all 3 angles which equal 245.
Subtract that from 360 to get the remaining angle x= 115.
Hannah borrow $30 from her parents. Each week she pays them back the same amount. The total amount she owes her parents after weeks 0,1,2,3
and four are $30, $25, $20, $15, and $10
Answers
8a·9·2a
simplified
why does this need 20+ characters
Answers
Answer:
144a^2
Step-by-step explanation:
8×9×2=144
144a^1×a
144a^1×a^1
144a^1+1
144a^2
the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle
Answers
Answer:
Dimension => 10 m × 9.6 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = 96 m²
Circumference (C) = 39.2 m
Dimension =.?
Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:
Let L be the Lenght
Let B be the breadth
Area of a rectangle = L × B
96 = L × B ..... (1)
Circumference of rectangle = 2(L + B)
39.2 = 2(L + B) .... (2)
From equation 2, make L the subject
39.2 = 2(L + B)
Divide both side by 2
39.2 /2 = L + B
19.6 = L + B
Rearrange
L = 19.6 – B ....(3)
Substitute the value of L in equation 3 into equation 1
96 = L × B
L = 19.6 – B
96 = (19.6 – B ) × B
Clear bracket
96 = 19.6B – B²
Rearrange
B² – 19.6B + 96 = 0
Solving by factorisation
B² – 10B – 9.6B + 96 = 0
B(B – 10) – 9.6(B – 10) = 0
(B – 9.6)(B – 10) = 0
B – 9.6 = 0 or B – 10 = 0
B = 9.6 or B = 10
Substitute the value of B into equation 3:
L = 19.6 – B
B = 9.6
L = 19.6 – 9.6
L = 10
Or
L = 19.6 – B
B = 10
L = 19.6 – 10
L = 9.6
Since the length is always longer than the breadth,
Length (L) = 10 m
Breadth (B) = 9.6 m
Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:
Length (L) = 10 m
Breadth (B) = 9.6 m
Dimension =?
Dimension = L × B
Dimension = 10 m × 9.6 m
