Using the slope concept, it is found that the swimmer is 21.95 feet from the boat.
What is a slope?The slope is given by the vertical change divided by the horizontal change.It's also the tangent of the angle of depression.In this problem:
A shark is located 45 feet directly below a swimmer on the surface of the water, hence the vertical change is 45.The distance d is the horizontal change, which we want to find.The angle is of 64º.Hence:
[tex]\tan{64^{\circ}} = \frac{45}{d}[/tex]
[tex]d = \frac{45}{\tan{64^{\circ}}}[/tex]
[tex]d = 21.95[/tex]
The swimmer is 21.95 feet from the boat.
You can learn more about the slope concept at https://brainly.com/question/26342863
5x^2+ 15x – 140 = 0
Solve for x
Answer:
x = 4, -7
Step-by-step explanation:
1) Factor out the common term 5.
[tex]5( {x}^{2} + 3x - 28) = 0[/tex]
2) Factor x² + 3x - 28.
[tex]5(x - 4)(x + 7) = 0[/tex]
3) Solve for x.
x = 4, -7
Therefor, the answer is x = 4, -7.
Answer:
x = 4, -7
Step-by-step explanation:
1. Solve the equation using the quadratic formula
The Quadratic formula provides the solution for [tex]Ax^{2} +Bx+C=0[/tex]
in which A, B, and C are numbers (or coefficients), as follows:
[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
2. Determine the quadratic equation’s coefficients A, B, and C
The coefficients of our equation, [tex]5x^{2} +15x-140=0[/tex], are:
A = 5
B = 15
C = -140
3. Plug these coefficients into the quadratic formula
[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}=\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]
Calculate the expression inside the parentheses.
Simplify exponents and square roots.
[tex]\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{225-4x5x-140 } }{2x5}[/tex]
Perform any multiplication or division, from left to right.
[tex]\frac{-15+\sqrt{225-20x-140 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{225-2800 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{3025} }{2x5}[/tex]
[tex]\frac{-15+\sqrt{3025} }{10}[/tex]
to get the result:
[tex]x=\frac{-15+\sqrt{3025} }{10}[/tex]
4. Simplify square root
Simplify 3025 by finding its prime factors.
3025
/ \
/ \
5 605
/ \
/ \
5 "121"
/ \
/ \
11 11
The prime factorization of 3025 is 5² • 11²
Write the prime factors.
[tex]\sqrt{3025}[/tex] = √5 • 5 • 11 • 11
Group the prime factors into pairs and rewrite in exponent form.
√5 • 5 • 11 • 11 = [tex]\sqrt{5^{2}x11^{2} }[/tex]
Use rule [tex]\sqrt{x^{2} }[/tex] = x to simplify futher.
[tex]\sqrt{5^{2}x11^{2}}[/tex] = 5 • 11
5 • 11 = 55
5. Solve the equation for x
x = [tex]\frac{-15+55}{10}[/tex]
The ± means two answers are possible:
x = 4
or
x = - 7
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 12.
The probability of rolling a number greater than 12 is
(Type an integer or a simplified fraction.)
Answer:
[tex]P(x>12) = 0[/tex]
Step-by-step explanation:
Given
[tex]x = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex] --- outcomes
[tex]n(x) = 12[/tex] -- sample size
Required
[tex]P(x > 12)[/tex]
This is calculated as:
[tex]P(x > 12) = \frac{n(x > 12)}{n(x)}[/tex]
[tex]n(x>12) = 0[/tex] because none of the outcomes is greater than 12:
So:
[tex]P(x > 12) =\frac{0}{12}[/tex]
[tex]P(x>12) = 0[/tex]
Please help ASAP
I’ll mark Brainliest
What’s the total and lateral surface area for the figure?
Answer:
The total is 20 and the lateral surface is 1008 I think
which statement is true?
Where is 5/4 on a number line
Answer:
1/4 of a space after 1.
Hope that helps!
Step-by-step explanation:
Which number line represents the solution of 5X < 30
Answer:
Step-by-step explanation:
Answer:
BRO, where are the number lines, can't help you if you dont put the number lines
Justine took samples of the numbers of points scored by two football teams during their games. The data for the samples are shown below.
Cougars: 13, 21, 3, 9, 7, 10, 28, 21
Hawks: 28, 10, 16, 17, 28, 20, 14, 35
How much greater is the mean number of points scored by the Hawks than the mean number of points scored by the Cougars?
Help I don't understand this question at all
Answer:
(6)(5)(4) = 120
Step-by-step explanation:
For a permutation, order matters. The equation for a permutation is (n!) / (n-k)! where n represents the total number of items you have to choose from and k represents the amount of items taken into account. Therefore we have
6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120
Here is another way to picture it:
In this case, we have 6 different dessert options to choose from. Let's say the desserts are A, B, C, D, E, and F
1st favorite (6 choices): A, B, C, D, E, and F. Let's say A is the 1st favorite
2nd favorite (5 choices): B, C, D, E, and F. Let's say B is the 2nd favorite
3rd favorite (4 choices): C, D, E, and F. Let's say C is the 3rd favorite
As you can see we actually have 6! choices for the numerator, but we are only choosing to 3 places, so we don't need the rest of the numbers, which can be represented by 3!
Therefore we have: 6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120
ivan drove 871 miles in 13 hours. At the same rate how many miles will he drive in 9 hours( HELP)
Step-by-step explanation:
speed = distance/time
speed = 871÷13
speed = 67 mph
distance = speed x time
distance = 67mph X 9hrs
distance = 603 m
Answer:
603miles
Step-by-step explanation:
871=13
?=9
cross multiply
871x9=13?
7839=13?
7839/13=13?/13
603=?
?=603
Please select the best answer from the choices provided
Answer:
its 60
Step-by-step explanation:
go0gle
Find the area of the regular polygon
Answer:
12
Step-by-step explanation:
There are 6 sides of the polygon, therefore since each corner is "2m", 2 x 6 = 12 making it the whole area.
*12 is basically the same as 360 since it's a polygon*
Geometry Need Help. I will give brainliest
Answer:
9
Step-by-step explanation:
If 4x + b = 12, then x is equal to:
Answer:
4x + 12 = 24
Subtract 12 to both sides
4x + 12 - 12 = 24 - 12
4x = 12
Divide 4 to both sides
4x ÷ 4 = 12 ÷ 4
x = 3
Step-by-step explanation:
i would really appreciate if someone could help me with this alll you have to do is order them in the correct order form least to greatest i would give you a brainly
Answer:
From least to greatest it is:
3.441, 4 4/9, 89/20, 4.93
A 108-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
The short piece is
inches long
Answer:
18 and 90
Step-by-step explanation:
If we express in units,
Long piece has 5 units
Short piece has 1 unit
total 6 units
108/6 = 18 inch
which is the length of 1 unit
short = 18 * 1
long = 18 *5
14) Find the slope of the line that goes through the points (2,-5) and (3,-2).
Answer:
3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-5))/(3-2)
m=(-2+5)/1
m=3/1
m=3
If n = 5, which of the following is not equivalent to 24?
Answer:
there is no picture?
Step-by-step explanation:
Sally has 15 quarts of milk. One quart is equal to 1/4 of a gallon. How many gallons of milk does Sally have?
Answer:
3.75 or 3 and 3/4
Step-by-step explanation:
you do 15/4
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:64
Step-by-step explanation:
its simple just divde 36
How would you explain 0 (prime and composite wise)?
Answer: 0 = NOTHING
Step-by-step explanation:
Consider the diagram. What is the value of n?
Answer:
BRAINLIEST??!!
Step-by-step explanation:
Answer: n=46
Step-by-step explanation: Both equations add up to 180 degrees, do inverse operations until you only have n on one side.
Express the given statement in the form of expression.
5 subtracted from three times any number.
what is the next number in sequence -2, 10 -50, 250
Answer:
2×5=10
10×5=50
50×5=250
250×5=1250
your next Number = -1250
hope It helps
Answer:
This is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Find the length of the arc and area of the shaded region. Round the answer to two decimal places. (Use Pi = 3.14) SHOW WORK!
Answer:
i just want some friends
Step-by-step explanation:
I got 30 will someone double check me please.
Answer:
yeah its 30
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WILL MAKE BRAINLIEST! ANSWER AND ILY
what are the slopes of each line?
Answer:
Top left is A
Top right is B
Bottom left is D
Bottom right is A
Step-by-step explanation:
Please help on this question
Here is a weather thermometer. Three of the numbers have been left off.
What numbers go in the boxes?
Answer:
Step-by-step explanation:
A shipment of tile cost $64,500.
Each tile costs 15 dollars.
How many pieces of tile are in the shipment?
A.430
B.1,290
C.4,300
D.8,600
Answer:
The answer is C. 4,300
Answer explanation :
Answer: C. 4,300
Steps:
64,500 / 15 = 4,300
Check:
15 * 4,300 = 64,500
64,500 = 64,500 ✅
I would appreciate the brainliest if this was helpful and correct! :)
there are 144 microscopes in boxes at a school. each box has 24 microscopes which equation could be used to find b, the number of boxes of microscopes at this school
A. 24+144= b
B. 144-b= 24
C. B divided by 24= 144
D. 24 x b= 144