Answers
Answer:
D
Step-by-step explanation:
Using the Cosine rule to find AC
AC² = BC² + AB² - (2 × BC × AB × cosB )
= 18² + 12² - ( 2 × 18 × 12 × cos75° )
= 324 + 144 - 432cos75°
= 468 - 111.8
= 356.2 ( take the square root of both sides )
AC = [tex]\sqrt{356.2}[/tex] ≈ 18.9
-----------------------------------------
Using the Sine rule to find ∠ A
[tex]\frac{18}{sinA}[/tex] = [tex]\frac{18.9}{sin75}[/tex] ( cross- multiply )
18.9 sinA = 18 sin75° ( divide both sides by 18.9 )
sinA = [tex]\frac{18sin75}{18.9}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{18sin75}{18.9}[/tex] ) ≈ 66.9°
Related Questions
20 laborers can complete the construction of building in 24 days .In how many days
would 16 laborers complete the construction?
7. In a survey of 468 tourists who visited Nepal during visit Nepal 2020 it was found that
275 visited Rara ,300 visited Bardiya and 56 tourist do not visit both the place .
(i) How many tourists were there who visited Rara as well as Bardiya ?
(ii) Represent the above information in venn diagram.
8. Two numbers are in the ratio 7:5 .When 10 is subtracted from each term their ratio
becomes 3:2.Find the numbers.
Answers
Answer:
20=24
8. =? Cross multply
An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?
Answers
Complementary angles always are 90 degrees when added to each other, so:
x = angle 1
x + 89.8 = angle 2
x + x + 89.8 = 90
2x = 90 - 89.8
2x = 0.2
x = 0.1
angle 1 = 0.1 degrees
angle 2 = 0.1 + 89.8 = 89.9 degrees
if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90
Which of the following is the discriminant of the polynomial below?
X2 +6X+8
A. 8
B. 6
C4
D. 26
Answers
the answer is C. 4
Can anyone help me with this it’s question 2 help please
Answers
Answer: 2x³ + 2x² + 36
Working:
= (2x + 6) × (x² - 2x + 6)
= 2x³ - 4x² + 12x + 6x² - 12x + 36
= 2x³ -4x² + 6x² +12x -12x +36
= 2x³ + 2x² + 36
Answered by Gauthmath must click thanks and mark brainliest
7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但
Answers
Answer:
000
Step-by-step explanation:
000
Help: A marching band is rehearsing. 4/5 of the marching band members play percussion instruments. 4/6 of the percussionists play the snare drum. What fraction of all the band members play the snare drum.
Answers
Answer: 1.2/5 Marching band members play the snare drum.
Step-by-step explanation:
4/5 Band Members Play Percussion Instruments. (80%)
4/6 Play The Snare Drum. (66% of the 80%)
1/5 Band Members Do NOT play percussion. (20%)
80 - 66 = 14%
14 + 20 = 24%
1/5 = 20%
1.5/5 = 30%
1.2/5 = 24%
1.2/5 Marching band members play the snare drum.
The formula for the lateral surface area of a cone—that’s the surface that isn’t the base—is π × r × sqrt(h² + r²); h is the height of the cone and r is the radius of its base. A circular #2 pencil is 6 mm in diameter, and a pencil sharpener creates a cone-shaped end that is 20 mm in height. Find the surface area of the sharpened part of the pencil.
Answers
Can anyone help me with this?
Answers
8.6
Answer:
Solution given:
[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]
Answer:
[tex]8.6[/tex]
Step-by-step explanation:
Step 1: Find the approximate value of [tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]
Answer: [tex]8.6[/tex]
Tìm nghiệm của đa thức sau:2x mũ 2-5x-3
Answers
HELP PLEASE!!!
Find the length of AB.
А.53.74
B.26.05
C.96.95
D.84.79
Answers
Answer:
Step-by-step explanation:
Sin 61 = 47/X
(X=AB)
X = 53.73764119
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.
Using the Sine ratio for the angle B, we can writte,
Sin(∠B) = AC/AB
Sin(61°) = 47/AB
AB = 53.74 units
Hence, the correct option is A.
Learn more about Sine:
https://brainly.com/question/21286835
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please help me out :)
Answers
Answer:
534.0707511
Step-by-step explanation:
Answer:
534.07
Step-by-step explanation:
2 π r h +2 π r² =2•π•5•12 + 2•π•5² ≈ 534.0
I hope this will help you if not then sorry i have tried :)THE LOGO SHOWN BELOW HAS A TOTAL AREA OF 125cm² AND THE SQUARE HAS SIDE LENGTH 5cm.CALCULATR THE WIDTH OF THE LOGO.
Answers
Answer:
Please show an image
Instructions: Find the measure of the indicated angle to the nearest degree.
4
?
16
Answers
Answer:
Sinx=4/16=1/4
x=Sin^-1(1/4)
? =14.47°
OAmalOHopeO
The measure of the unknown angle is approximately 14°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
From, The given diagram, With respect to the reference unknown angle,
the opposite side is 4 units and the hypotenuse is 16 units.
We know, sin = opposite/hypotenuse.
Therefore, sinФ = 4/16.
sinФ = 1/4.
Ф = sin⁻¹(1/4).
Ф = 14°.
learn more about trig ratios here :
https://brainly.com/question/14977354
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can y’all help me out
Answers
Answer:
B: y = {-13, -5, 3, 15}
Step-by-step explanation:
Let's plug each x-value into this equation: f(x) = 4x + 3
Domain: {-4, -2, 0, 3}
First, let's start with -4:
f(x) = 4x + 3
y = 4x + 3
y = 4(-4) + 3
y = -16 + 3
y = -13
Next, let's do -2:
f(x) = 4x + 3
y = 4x + 3
y = 4(-2) + 3
y = -8 + 3
y = -5
After that, let's do 0:
f(x) = 4x + 3
y = 4x + 3
y = 4(0) + 3
y = 0 + 3
y = 3
Finally, let's do 3:
f(x) = 4x + 3
y = 4x + 3
y = 4(3) + 3
y = 12 + 3
y = 15
Now that we have all our y-values, let's set up the range:
Range (y-values): {-13, -5, 3, 15}
As you can see, the only answer choice that includes this range is B;
{-13, -5, 3, 15}.
Which table of ordered pairs represents a proportional relationship?
plss help!
Answers
Find the sum of the second multiple of 9 and the fifth multiple of 6.
Answers
Answer:
48
Step-by-step explanation:
9,18
6,12,18,24,30
18 + 30 = 48
Aman age is 2 times of his son's age after 5 years sum of their age will be 70 find their present age
Answers
Answer:
aman's son's age = 20
aman's age = 40
Step-by-step explanation:
let aman's son's age be x
aman's age = 2x
2x+5+x+5 = 70
3x+10=70
3x = 60
x = 20
2x = 40
For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).
-7x + 8, -12x + 12, -17x + 16, . . .
Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4
Answers
Answer:
The first one is the answer.
Step-by-step explanation:
It's an arithmetic sequence. It has a common difference.
d = an - a_n-1
an = -12x + 12
a_n-1 = - 7x + 8
d = -12x + 12 - (-7x + 8)
d = -12x + 12 + 7x - 8
d = -5x + 4
Try it. Let's try for the third term
-12x + 12 - 5x + 4
- 17x + 15 which is exactly what the third term is.
what is 10 5/8 - 8 2/7
Answers
Answer:
2 19/56 is the answer.
Step-by-step explanation:
10 5/8 - 8 2/7
or, 85/8 - 58/7
or, (595-464)/56
or, 131/56
= 2 19/56
Copy and complete the table.
Answers
Answer:
See pic below.
Step-by-step explanation:
Please help me with this
Answers
What’s the sum in the diagram, a + b + c =
Answers
Answer:
Answer is 360 degrees
Step-by-step explanation:
The sum of the exterior angles of a triangle is 360°.
Answer: 360 degrees
Step-by-step explanation:
You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.
for f(x)= -4x + 5, find f(x) when x = -2.
Answers
Answer:
13
Step-by-step explanation:
f(x)= -4x + 5
Let x = -2
f(-2) = -4(-2) +5
= 8+5
= 13
Step-by-step explanation:
x = - 2
f ( x ) = - 4x + 5
f ( - 2 )
= - 4 ( - 2 ) + 5
= 8 + 5
= 13
result of 5 and 75 with dividid by 3
Answers
Answer:
your answer is 30
Step-by-step explanation:
I hope this help
Use the diagram. Solve for p.
Answers
Answer:
A the first one.
Step-by-step explanation:
Wy = 28
WX = 12
XY = WY - WZ
XY = 28 - 12
XY = 16
4P = 16
P = 16/4
P = 4
100 divided by 3.2 Thank u
Answers
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
5.
Krishna got on an elevator on the 12" floor and went up 3 floors. If he then went down 8 floors,
what floor is krishna now on?
Answers
Answer:
Krishna is at the 7th floor
Step-by-step explanation:
Given
[tex]Start = 12[/tex]
[tex]Up = 3[/tex]
[tex]Down = 8[/tex]
Required
The current floor
This is calculated as:
[tex]Floor = Start + Up - Down[/tex]
[tex]Floor = 12 + 3 - 8[/tex]
[tex]Floor = 7[/tex]
If patient's current ledger balance is $238.00, the patient's fees for today are $117 and the patient paid $100.00 today, what is the patient's new balance:
Answers
Answer:
$138
but if the 117 was paid it would be $21
Step-by-step explanation:
The patient's new balance is $255
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Patient's current ledger balance = $238.00
The patient's fees for today = $117
The patient paid $100.00 today
Now, balance including todays pay= $238.00+$117
=$355
Patient payed 100 so,
=355-100
=255
Therefore, the answer of this algebraic problem will be $255
More about the Algebra link is given below.
brainly.com/question/953809
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Find the missing segment in the image below
Answers
Answer:
? = 42
Step-by-step explanation:
24/8 = ?/14
cross mult
24/8 = x/14
336=8x
x = 42
I NEED HELP PLEASE.....................................
Answers
Answer:
No
Step-by-step explanation:
The Rectangle A is occupied by 5 unit Squares on its length and 3 unit Squares on its width .....and we know one unit square in a grid is equal to 1 cm
hence.......A=L×W
Area = 5 unit Squares ×3 Unit Squares
Area of A= 15 unit Squares .
The Square B is occupied by 3 unit Square on each side thus.....Area =S×S
Area of B = 3 unit Squares × 3 Unit Squares
Area of B = 9 unit Squares.
Hence the answer is no ....9 isn't the double of 15
