Answer:
87,92
Step-by-step explanation:
Solve the problem.
A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is
28° . The lighthouse is 200 feet tall. How far away is the boat? Round to the nearest foot.
Tan 28= 200/x
x=200/ tan 28
x=376.14
x=376
Step-by-step explanation:
Hope this helps!
The boat is x=376 foot away from the light house.
A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is 28°. The lighthouse is 200 feet tall.
Trigonometry is defined as the study of angles.
Let the boat is x distance away from the lighthouse
assume a right-angle triangle ABC with AB =perpendicular=200, BC = base=X, Angle CAB = 28°(angle of depression means the angle from the boat to the top of lighthouse is also 28°)
tan28 = 200/X
X = 200/tan28
X = 376 foots
Thus, The boat is x=376 foot away from the lighthouse.
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Find the discriminant of the quadratic equation and indicate the number of roots: (3x^2)+2x+1=0
Answer:
This expression has no roots.
Step-by-step explanation:
Using the discriminant: b² - 4ac, we get:
2² - 4 × 3 × 1
= 4 - 12
= -8
So this equation has no real solutions. Let's prove that by trying to solve for x:
3x² + 2x + 1 = 0
9x² + 6x + 3 = 0
9x² + 6x + 1 = -2
(3x + 1)² = -2
3x + 1 = i√2
3x = -1 ± i√2
x = (-1 ± i√2) / 3
The only solutions available then are indeed complex.
This expression has no roots. the discriminant of the equation is -8.
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Using the discriminant: b² - 4ac, we get:
2² - 4 × 3 × 1
= 4 - 12
= -8
So this equation has no real solutions. Let's prove that by trying to solve for x:
3x² + 2x + 1 = 0
9x² + 6x + 3 = 0
9x² + 6x + 1 = -2
(3x + 1)² = -2
3x + 1 = i√2
3x = -1 ± i√2
x = (-1 ± i√2) / 3
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whats 1/2 x 1/4? im unbanned
Step-by-step explanation:
Given
[tex] = \frac{1}{2} \times \frac{1}{4} \\ = \frac{1}{8} [/tex]
Hope it helps :)❤
Kevin Chamberlin?...........
Answer:
Yeah thats weird
Step-by-step explanation:
What expression represents the value of x?
the first one is correct
i can prove it but its hard on this app and it has a long solution
you can prove it by Thales law
hope this helps
Factorise the following expressions :
Answer:
(x+y)²-4xy
x²+2xy+y²-4xy
x²+2xy-4xy+y²
x²-2xy+y²
(x-y)²
or
(x-y)(x-y)
the clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour
Answer:
19 seconds.
Step-by-step explanation:
Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:
1 PM = 13:00
13 - 7 = 6
228/6 = 38
38/2 = 19
Thus, every half hour the clock is delayed 19 seconds.
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
-73
Step-by-step explanation:
if f is 73
and they made f negative, they just made 73 negative too.
i don't know if there is more in that expression
all i can see is
-f=___
evaluate the question
Answer:
A) 5/6
B) -67/30 (or) -2 7/30
A) -9/2 (or) -4 1/2
Step-by-step explanation:
A) 2/3(5)-5/2=3 1/3-5/2 = 10/3-5/2 = 20/6-15/6= 5/6
B) 2/3(2/5)-5/2= 4/15-5/2 = 8/30-75/30 = -67/30
A) 2/3(-3)-5/2=-2-5/2= -4 1/2
A helicopter hovers 500 feet above a small island. The figure shows that the angle of
depression from the helicopter
to point P is 49º. How far off
the coast, to the nearest foot, is the island?
Answer:
435 ft
Step-by-step explanation:
Reference angle = <P = 49° (angle of elevation)
Opposite side = 500 ft
Adjacent side = d = ?
Apply trigonometric function, TOA.
This:
Tan P = opp/adj
Tan 49 = 500/d
d × Tan 49 = 500
d = 500/Tan 49
d = 434.643369 ≈ 435 ft (to the nearest foot)
Can someone help me with these two please-
Answer:
a. 405/4
b. 1/32
Step-by-step explanation:
a. (5x8 + 5) / 8 x 18
= 45/8 x 18
= 405/4
b. 3/8 ÷ 12
= 3/8 x 1/12
= 1/32
What is the area of the triangle?
O 200 cm2
O 225 cm?
O 250 cm?
0275 cm?
15 cm
30cm
Answer:
225cm.....................
The vertices of a shaded square are the midpoints of the sides of square ABCD. The length of the diagonal of square ABCD is 6 inches.
Answer:
A=13.47 in.
P=14.68 in.
Step-by-step explanation:
First, we have to figure out the sides of square ABCD. The diagonal forms the hypotenuse of a right equilateral triangle.
a²+a²=6²
2a²=36
a²=18
a=√18
a=4.24
Half of 4.24 would be the distance From each corner of ABCD to the neighboring midpoints. (2.12)
2.12²+2.12²=c²
4.49+4.49=c²
13.48=c²
√13.48=c
3.67=c
Now that we know each side of the shaded square, we can get the area and perimeter.
A=3.67x3.67=13.47
P=3.67x4=14.68
In a drawer there are 6 black socks,8 white socks,2 red socks, and 4 blue socks. A boy takes one socks from the drawer, without looking. What is the chance that this socks is blue?
Answer:
1/5
Step-by-step explanation:
Chance is also referred to as probability
probability = Number of event/Total samples space
If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space
Sample space = 6 + 8 + 2 + 4
Sample space = 20socks
Total number of blue socks is the event
Number of event = 4 blue socks
Chance that the socks is blue = n(E)/n(S)
Chance that the socks is blue = 4/20
Chance that the socks is blue = 1/5
What is the HCF of 48 and 60?
Answer:
48=2×2×2×2×3
60=2×2×3×5
HCF=2×2×3=12 is your answer
Answer:
12
Step-by-step explanation:
48: 1, 2, 3, 4, 6, 8, 12, 16, 24 28
60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Which is the biggest negative integer
Answer:
-1
Step-by-step explanation:
in numeracy numbers on right hand are bigger than numbers on left hand -1 is bigger than all negative integers. they all fall on the left of -1
Steven has a small business that provides computer application training and data entry support services. He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no more than 40 hours a week. He wants to use linear programming techniques to optimize his income. Part A Construct a model to represent the amount of time Steven can spend on data entry and training. Be sure to define your variables.
Sketch a graph of your model.
Answer:
25×40=100
15×40=30
100+30=130
Tell whether -3 is a solution of the inequality
3-4r >_ 15
Answer:
-3 is a solution.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
3 - 4r ≥ 15
Step 2: Solve for r
[Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12[Division Property of Equality] Divide -4 on both sides: r ≤ -3Step 3: Compare
Substitute in r: -3 ≤ -3This is true. -3 is less than or equal to -3.
SALE
75% OFF
Harold wants to buy a picture frame.
The original price is $28. How much
will Harold pay if he buys it during the
sale?
A:$12
B:$7
C:$32
D:$5
HELP PLEASE PLEASE DUE TONIGHT !! Scores on the Wechsler Adult intelligence Scale (a Standard IQ test) for certain age group are
normally distributed with mean = 100 and standard deviation o = 15. (Find the Z scorels for
each question first, and then use Table A-2 at the back of your book to find the following
probabilities)
a What percent of IQ scores are less than 122?
(4 points)
b What is the probability that a randomly selected adult in this age group has an IQ
score higher than 147? Is this a significant/unusual event? Explain? (5
points)
C
What percent of adults in this age group have IQs between 85 and 100? Is this
I significant/unusual event? Explain?
(5
points)
Tch
3
O
<
w
Find all real square roots of 16.
Answer: Square root of 16 is 4
Step-by-step explanation:
(x2-25)÷(x-5) plz help me
Answer:
(x + 5)
Step-by-step explanation:
(x² - 25) ÷ (x-5)
=(x² - 5²) ÷ (x-5)
Using the formula a² - b² = (a + b)(a - b) you get
= (x + 5)(x - 5) ÷ (x - 5)
With division you can cut both (x - 5)
So the answer is (x + 5)
The three sides of AXYZ
measure 13 feet, 17 feet, and
21 feet. IS AXYZ an acute,
right, or obtuse triangle?
9514 1404 393
Answer:
acute
Step-by-step explanation:
I like to think of this in terms of the "form factor" (a term I made up). It is computed as ...
f = a² +b² -c²
where a, b, c are the side lengths, and c is the longest.
The interpretation is ...
f > 0 . . . acute
f = 0 . . . right
f < 0 . . . obtuse
Here, we have ...
f = 13² +17² -21² = 17 . . . . . the triangle is acute
_____
Additional comment
The measure of the largest angle is ...
arccos(f/(2ab)) = (17/(2(13·17)) = arccos(1/26) ≈ 87.8°
You can see that (2ab) is always positive, so the sign of f matches the sign of the cosine of the angle. That is what leads to the above interpretation.
This formula comes from the Law of Cosines, of which the Pythagorean theorem is a special case.
Given the matrix:
a= 2 5
4 -8
The sum of the elements in row 1 is:
The sum of the elements in column 2 is:
Answer:
The answer is as follows
1) 7
2) 3
3) 4
Answer:
7
-3
4
Step-by-step explanation:
A number increased by 8 is equal to twice the same number increased by 7
Answer:
-6
Step-by-step explanation:
According to question,
x + 8 = 2(x + 7)
x + 8 = 2x + 14
2x - x = 8 - 14
x = -6
A number is increased by 8 which is equal to twice of the same number increase by 7 then the number will be -6.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the statement given in the question,
Let the number is x.
Number is increased by 8,
x + 8
Also,
Equal to twice of same number increased by 7.
Then the expression will be,
x + 8 = 2(x + 7)
x + 8 = 2x + 14
x = -6
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Evan is going to invest $2,800 and leave it in an account for 12 years. Assuming the
interest is compounded annually, what interest rate, to the nearest hundredth of a
percent, would be required in order for Evan to end up with $5,000?
Answer:
5000=2000/1 hshshsjsnndjskbdjs
Answer:
r = 4.95046%
r ≈ 4.95%
55÷ =5 what is answer
Answer:
The answer is 11
Step-by-step explanation:
55÷5= 11
please help!
Evaluate the expression: [3^2 x (2.4 ÷ 4)] + 1.7
Answer:
7.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[3² × (2.4 ÷ 4)] + 1.7
Step 2: Evaluate
[Brackets] Exponents: [9 × (2.4 ÷ 4)] + 1.7[Brackets] (Parenthesis) Division: [9 × 0.6] + 1.7[Brackets] Multiplication: 5.4 + 1.7Add: 7.1Whiteout graphing,determine whether the system of linear equations has one solution,infinitely many solutions,or no solution. Explain your reasoning.
Answer:
Are we suppose to answer the equation to? ( reply and i will put the answers in the comment )
Step-by-step explanation:
A couch and coffee table cost a total of $1017 . The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
Answer:
The couch costs $678 and $339 for the coffee.
Step-by-step explanation:
In total you spent $1017 and it was used in 3 portions, 2 for the couch, and 1 for the coffee. First divide it and find out how much each portion costs. In this case (1017 divided by 3) the answer will be 339. Now since you spent 2 of the 3 portions on the couch multiply one portion by 2. Then you get 678 for 2 portions, hence telling us that the couch costed, $678. With the remaining one portion of 339, you already know coffee costs $339. Please give me brainliest, I am new to answering questions. Thanks!