Two artillery bases are located at the points A and C represented in the figure. Each of the bases locates an enemy airplane at point B. The base at A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters. If the distance from the base at C to the plane is 2,517 meters, what is the measure, in degrees, of ∠CBA?
Answer:
the answer is 17 here is the step below
Step-by-step explanation:
Use the Law of Sines to find the distance. For a triangle with angles A, B, and C, and opposite sides a, b, and c, the Law of Sines states that sinAa=sinBb=sinCc.
In this case, the angle at point B, let it be α, needs to be found. The Law of Sines can be used to relate α, the two known sides, and the angle at point A.
The Law of Sines states that sinα739=sin95∘2517.
By simplifying, sinα=739sin95∘2517. Since α is acute, α=sin−1(739sin95∘2517)≈17.0∘.
The measure of the angle is 17 degrees if the A measures the angle of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture
To find the measure of the angle ∠CBA
Applying sin law:
sin95/2517 = sin∠CBA/739
0.292 = sin∠CBA
∠CBA = sin⁻¹(0.292)
∠CBA = 17 degrees
Thus, the measure of the angle is 17 degrees if the A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.
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Find the arc length of AB to the nearest tenth.
90°
B
A
70 m
The arc length is
meters.
90 is a fourth of 360, so the a fourth of the total circumference is between those two radii. This means that, if you find the circumference and divide it by 4, the resulting number is that length.
Two workers win prize of £240, they share prize money in ratio of 3.5, how much does one get
please help me, i will give 15 points and brainleist
Answer:
3 + 0.25x
Step-by step answer:
1. add like terms inside the bracket 8+4=12
2. divide each term in bracket by 4
12/4 = 3
x/4 = 0.25x
Answer:
Step-by-step explanation:
1/4(8+4+x)=
1/4(12+x)=
3+ x/4
Which two expressions are equivalent?
A 4(x + 5) and 4x + 9 C 4(x + 5) and 4x + 20
B 4(x + 5) and 4x + 5 D 4(x + 5) and 4 + x + 4 + 5
d=.5*a*t^2 - solving for a[tex]d=.5*a*t^2[/tex]
Answer:
[tex]\displaystyle a=\frac{d}{.5*t^2}[/tex]
Step-by-step explanation:
Equation Solving
We are given the equation:
[tex]d=.5*a*t^2[/tex]
It's required to solve it for a.
Swap sides to have the letter on the left side:
[tex].5*a*t^2=d[/tex]
Divide by [tex].5*t^2[/tex]:
[tex]\mathbf{\displaystyle a=\frac{d}{.5*t^2}}[/tex]
Simplify:
3(8) 0 • (3) –2
a–27
b24/9
c–216
d 1/3
Answer:
-2a-27b.2^3/3c-2161/3
Solve the system of equations by elimination
3x+4y=9
-6x-8y=-18
A. (5,-1)
B. (5,1)
C. Infinite number of solutions
D. (1,5)
A square has been divided into a equal-sized pieces. Four of the peices are shaded.
Answer:
it is now 1 whole
Step-by-step explanation:
HELPPPPP!!! 20 points
Consider the equation 6x+3y=9 Which equation, when graphed with the given equation will form a system with
infinitely many solutions?
y+ 2x-3
y+2x9
Oy=2x+3
Oy=-2x+9
Answer:Oy=2x+3
Step-by-step explanation:
2) Which of the following is an equivalent ratio to 12:48? Choose all that apply.
a. 3:12
b. 6:24
C. 24.48
d. 24.96
Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car
Answer:
8000
Step-by-step explanation:
10000 x 20% = 2000
10000-2000= 8000
Help me please please
Answer:
Step-by-step explanation:
i have no idea what to do
Please help! I will mark first answer brainliest and lots of points!!!! Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two integers. Help him determine how to prove that each of the following numbers is rational. If you answer all I will appreciate that very much!
1. -18
2. 87.125
3. -30
4. -8.3
5. 58.25
6. 121
7. 4.5
Answer: All Options also - 9 + -9 = -18
Step-by-step explanation: The Reason It Is All Of Them Is Because A Rational Number Is A Fraction Integer or Some Kind of repeating decimal And They All Are In That Category.
Can somebody help me
Answer:
2nd and obtuse triangle - should be - double check
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
Answer:
80°
Step-by-step explanation:
70+30=100
180 - 100= 80°
the area of the square is 36 cm. 2 what is the formula that shows the length or side b
Answer:
36=b^2 or b=the square root of 36
Step-by-step explanation:
The sides of a square are all equal in length. To find the area of a square you can multiply the two sides together. Considering that they are the same length, you can just square one of the side lengths to get your answer. To find a side length you can take the square root of the area.
Answer:
Step-by-step explanation:
b · b = 36
dhjf sdfjhs fs djffsdfjosf dsfjps fssoipsf fsjf f fsfsfsfohff fidfsdfeffsj fsdfsfsn f fhjfsifse
Answer:
i
Step-by-step explanation:
please help meeee with this question
Answer:
Its possible 1 it looks like an equilateral triangle and 4 times whatever x is has to be the same as x+3 which can only be D i hope this help
Step-by-step explanation:
o need help with my math its manly slope m
Answer:
nvm everybody hates me
Step-by-step explanation:
can you guys plz help ASAP
A square shaped pasture has an area of 144 square feet. What is the perimeter of the pasture?
Answer:
48 ft.
Step-by-step explanation:
sqr root 144= 12
12x4=48
(2x - 5) (x^2 + x - 2) =
What is the solution to the system of equations graphed below?
y=-4x + 33
y=5/3x-1
Answer:
x = 6
y = 9
This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.
Expert Verified Answer (of this same question but with a step-by-step explanation):
This is the link to rocioo's answer. https://brainly.com/question/13675950
In a class of 50 students 24 like football, 21 basketball and 18 Cricket, 6 like football and basketball, only 3 like basketball only, 5 like any of the three games. Illustrate the information in a Venn diagram. Find the number of students who like football and crickets only and exactly one of the game.
After answering the query, we may state that Therefore, the number of equation students who like exactly one of the games is: O + 3 + 6 = 24 + 3 + 6 = 33
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
Here is a Venn diagram illustrating the information given:
_______ _______
| | | |
| F | | C |
|___|___| |___|___|
| |
| | | |
B | FC | | B |
|___|___| |___|___|
| |
| | | |
| O | | E |
|___|___| |___|___|
F = Football
B = Basketball
C = Cricket
FC = Football and Basketball
O = Only Football
E = Exactly one of the games
To find the number of students who like football and cricket only, we need to subtract the number of students who like football and basketball (i.e., FC) from the number of students who like football (i.e., O) and cricket (i.e., C). Therefore, the number of students who like football and cricket only is:
O - FC - E = 24 - 6 - 5 = 13
To find the number of students who like exactly one of the games, we need to add up the number of students who like only football (i.e., O), only basketball (i.e., 3), and only cricket (i.e., 6). Therefore, the number of students who like exactly one of the games is:
O + 3 + 6 = 24 + 3 + 6 = 33
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Can someone please help me with this question
Answer:
Eat some mc donolds then ur good
Step-by-step explanation:
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In the figure, line e || line ff . Which statement is true?
Answer:
B
Step-by-step explanation:
The measure of angle seven is 70 since 180 - 110 = 70. The measure of angle three is equal to the measure of angle seven using the Corresponding Angles Theorem
2x – 5x + 16 = -3(x – 6)
Answer:
16=18
Step-by-step explanation:
2x-5x+16
-3x+16
-3(x-6)
-3x+18
-3x+16+-3x+18
16=18
-they do not share the same answer
and if you where to keep going
18-16=2
0=2
-so again not equal
hope that helps
Answer:
Exact Form : X= 200/33 Decimal form: X= 6.066 Mixed number form X= 6 2/33
Step-by-step explanation:
Hopeful this help
John has 8 coins, all of which are quarters and nickels. In all, they're worth $1.00. How many of each kind of coin does John have?
Answer:
you will need 3 quarters and 5 nickel
Step-by-step explanation:
3 quarters is 75 and 5 nickels is 25 =1.00
What property is shown in the following equation?
17 + 8 + 3 = 17 + 3 + 8
Answer:
The Commutative Law of Addition.
Step-by-step explanation:
Basically, this law says we can swap numbers over and still get the same number when we add. This has demonstrated exactly that.
Hope this helped!
Answer:
Associative property