Solve It! A search-and-rescue boat
spots a lost hiker on the edge of a
rock shelf. How many feet is the boat
from the hiker? Round to the nearest
whole foot and enter only a number.
Hint: Consider partitioning the
triangle into two right triangles.
Answers
Answer:
107
Step-by-step explanation:
Given
See attachment for boat and hiker
Required
The distance between the boat and the hiker
To do this, we make of sine rule.
[tex]\frac{a}{\sin A} = \frac{b}{\sin B} =\frac{c}{\sin C}[/tex]
In this case:
[tex]x = ??[/tex]
[tex]X = 68[/tex]
[tex]a = 66[/tex]
[tex]A = 35[/tex]
So, we have:
[tex]\frac{x}{\sin 68} = \frac{66}{\sin 35}[/tex]
Make x the subject
[tex]x = \frac{66}{\sin 35} * \sin 68[/tex]
Using a calculator, we have:
[tex]x = \frac{66}{0.5736} * 0.9272[/tex]
[tex]x = 115.063* 0.9272[/tex]
[tex]x = 106.68[/tex]
[tex]x \approx 107[/tex]
Related Questions
Find the mean, median, mode, and range for the following numbers.
62,58,92,16,24
HELP ME PLS
Answers
Answer:
Mean: 50.4
Median: 58
Mode: None
Range: 76
Step-by-step explanation:
The mean is all the numbers added together and then divided by 5.
(62 + 58 + 92 + 16 + 24) ÷ 5 = 50.4
The median is the number in the middle. First, arrange the numbers from least to greatest and then pick the one in the middle
16, 24, 58, 62, 92
The mode is the number that appears the most. There is no mode in this data set because every number appears once.
The range is the biggest number subtract by the smallest number.
92 - 16 = 76
2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions
Answers
Answer:
D. infinitely many solutions
Step-by-step explanation:
to find how many solutions the equation have, we can solve it
here's the given equation:
2(2x-3)+6=4x
our goal is to isolate the variable onto one side
do the distributive property shown in the equation (multiply both 2x and -3 by 2)
4x-6+6=4x
combine like terms (add -6 and 6)
4x=4x
subtract 4x from both sides, as we still have the variable on both sides
0=0
0 is always equal to 0; that's an identity
if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions
Answer:
D. Infinitely many solutions.
Step-by-step explanation:
2+2
I really struggle with this one plz help
Answers
Jk is 4 lol
Answer:
4
Step-by-step explanation:
lol ur kidding . of not u should work really hard :)
im sorry but i need help with this seriously difficult question
what is 1+1?
Answers
Answer:
2
Step-by-step explanation:
1 + 1 = 2
Answer:
1+1 equals 2 ok are you a ok bye
The fifth term of an arithmetic sequence is 96. Which rule could define the sequence?
Answers
Answer:
a+4d = 96
Step-by-step explanation:
Given: fifth term of an arithmetic sequence is 96
This means, a+4d = 96
Where, a is the first term in the series and d is the common difference,
Since, the terms is 5th therefore we can say that
a+4d = 96
a = 96-4d
Answer:
B) an = 18n + 6
Step-by-step explanation:
f(n) = 2n− 5; Find f(−8)
Answers
Answer:
Step-by-step explanation:
Putting value of n = - 8 in the equation
F(n) = 2n− 5
F(-8) = 2(-8) - 5
= - 16 - 5 = - 21
Classify the pair of angles shown.
Answers
Answer:
complementary angles
Step-by-step explanation:
The two angles add to 90 degrees, which means they are complementary angles
can you help me with this please
Answers
Answer:
x = Adjacent B). Tangent
Step-by-step explanation:
x = Adjacent
B). Tangent
Answer:
see explanation
Step-by-step explanation:
In relation to the angle 37°
The side opposite is labelled 14 → A
The adjacent side is labelled x → B
Using the trig function tangent would enable x to be found, that is
tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex]
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
explanation:
6(1)-39=-33
6(2)-39=-27
hi! please help i’ll give brainliest
Answers
Answer:
The last answer is it I think.
Step-by-step explanation:
Will name the brainliest
Answers
Answer:
A = 53° (Rounded to the nearest whole number)
Step-by-step explanation:
Since the angle needs to be found out and it's adjacent as well as hypotenuse is given we will used the Cosine ratio;
Cos(A) = [tex]\frac{26}{43}[/tex]
A = Cos⁻¹ ([tex]\frac{26}{43}[/tex])
A = 52.79 or 53
Hope this helps!
5.08, 1.99, 4.54, 4.83, 3.2, 1.99, 4.36, 4.8, 4.78
What is the median?
Answers
Answer:
4.45
Step-by-step explanation:
it is ordered from highest to lowest1,99 1,99 3.2 4,36 4,54 4,78 4,8 4,83
(2 numbers remain as medium)
is added and divided by 24,36
4,54
8,90/2= 4.45
i hope i have help you :)
. Parallel lines A and B are cut by transversal, t, as shown below. Use the relationship of the marked angles above to find the correct value of x.
Answers
Answer:
x = 30
Step-by-step explanation:
These angles form supplementary angles meaning they add up to 180°.
[tex]5x-40+2x+10=180\\7x-30=180\\7x=210\\x=30[/tex]
Ms. Biediger family wants to drive 750 miles. If they drive the same distance each day for 5 days what distance d, do they need to drive each day
Answers
750/5=150
150(miles) x 5 (days) = 750(total miles)
Janet must paint her outdoor circular tabletop because it has rusted. The diameter of the table
is four feet. How many square feet of paint will she use to take care of the task
Answers
Answer:
12.56 ft²Step-by-step explanation:
The area of the tabletop:
A = πr² = πd²/4 = 3.14*4²/4 = 12.56 ft²Answer: my friend up there did it right
Step-by-step explanation:
-59 Points!-
Below, the two-way table is given for a class of students.
^^^^^ (photo attached)
If a student is selected at random, find the
probability the student is a senior given that it's
female. Round to the nearest whole percent.
[?]%
Answers
Answer:
Solution given:
total female [T]=3+4+6+3=16
n[senior female]=3.
probability the student is a senior given that it's
female:[tex] \frac{n[senior female]}{total [T]} [/tex]
:[tex] \frac{3}{16} [/tex]
:[tex] \frac{3}{16} [/tex] is a probability.
Now percentage::[tex] \frac{3}{16}*100% [/tex]=18.75=19%
Answer:
18.75%. Rounding up: 19%
Step-by-step explanation:
From the table : Total Females = 3+4+6+3 = 16
Number of female seniors = 3
If a student is selected at random find the probability the student is a senior given that it's a female:
P(Female | senior) = number of female seniors / total female = 3/16 = 0.1875
In percent, 3/16 * 100 = 0.1875 * 100 = 18.75%
the probability the student is a senior given that it's a female. = 18.75%, which round to nearest whole percent is 19%.
will mark brainliest will mark brainliest
Answers
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) No, not enough corresponding info given
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) Sorry I don't know
Please mark me as the brainliest
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent
the number of hours he worked in June. Which expressions represent the amount of money, in dollars, Carlos
earned in May and June? Select all correct answers.
Answers
Answer: 11z + 11y
Step-by-step explanation:
Carlos earns his pay by the hour. That means that to find the cash made in a given month, the formula is:
= Carlos payment per hour * Number of hours worked in a month
In May he worked z hours:
He earns $11 per hour and works z hours, expression for earnings for the month is:
= 11 * z
= 11z
In June he worked y hours:
= 11 * y
= 11y
The total he earned in both May and June is:
= 11z + 11y
The expressions represent the amount of money, in dollars, Carlos earned in May and June is 11z + 11y.
Given that,
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent the number of hours he worked in June.Based on the above information, the calculation is as follows:
For May it is 11z
For June it is 11y
So, total it should be
11z + 11y
Learn more: https://brainly.com/question/24908711?referrer=searchResults
Pls help me with this one
Answers
Answer:
c
Step-by-step explacnation:
Answer:
D
Step-by-step explanation:
Someone plz help me giving brainliest
Answers
Answer:
I think 129 miles.... ..........
Answer:
129 miles
Step-by-step explanation:
How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7
Answers
Question isn't clearly stated.
The. Probability o
Answer:
Step-by-step explanation:
How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7
Given a six sided die : (1, 2, 3, 4, 5, 6)
Multiple of 3 = (3, 6) = 2
Getting a multiple of 3 on a single roll :
P(multiple of 3) = 2 / 6 = 1/3
Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a
function of time (in seconds). According to the table, which point is the y-intercept on a graph representing the data?
A) (0,0)
B) (0, 12)
C) (12,0)
D) (0, 20)
Answers
Answer:
1 cubic meter (m3) is equal to how many cubic center meters(cm3)Answer:
B if your doing prep
Step-by-step explanation:
math
A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?
Answers
Answer:
sin-¹(10/11)
Step-by-step explanation:
The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .
We can use ratio sine here. Let the angle of elevation be theta.In ∆ ABC :-
=> sinθ = p/h
=> sinθ = 100ft / 110 ft
=> sinθ = 10/11
=> θ = sin -¹ ( 10/11) .
Hence the angle of elevation is sin -¹ ( 10/11).PLEASE HELP ASAP!! will mark brainlest!
Answers
Answer:
1. Axis of Symmetry: x=-4, Vertex: (-4, -6)
2. Axis of Symmetry: x=2, Vertex: (2, 8)
Step-by-step explanation:
2.77777777778 simplified
Answers
Answer:
Step-by-step explanation:
Answer is in the pic I promise nothing bad.
Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes?
Answers
Answer:
140 pounds
Step-by-step explanation:
let s == small box
m = medium box
= large box
the following 3 equations can be derived from the question
s + m = 20 equation 1
m + l = 28 equation 2
l + s = 24 equation 3
make m the subject of the formula in equation 1 and 2
m = 20 - s equation 4
m = 28 - l equation 5
equate equation 4 and 5
20 - s = 28 - l
l - s = 8 equation 6
solve equation 3 and 6 using simultaneous equation
l + s = 24 equation 3
l - s = 8 equation 6
subtract equation 6 from 3
2s = 16
s = 8
substitute for s in equation 1
8 + m = 20
m = 12
substitute for m in equation 2
12 + l = 28
l = 16
total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds
Dr. Nick has a large red fluffy dice hanging from the rear view mirror in his car. The length of one of the sides of that die is 6 inches. What is the total surface area of that die?
Answers
Answer:
Total surface area of Die = 216 inch²
Step-by-step explanation:
Given:
Length of one side of die = 6 inches
Find:
Total surface area of Die
Computation:
Total surface area of Die = Total surface area of cube
Total surface area of cube = 6(side)²
Total surface area of Die = 6(Length of one side of die)²
Total surface area of Die = 6(6)²
Total surface area of Die = 6(36)
Total surface area of Die = 216 inch²
Lemon Yellow paint can be made by
mixing 5 gallons of yellow paint and
2 gallons of white paint. How many
gallons of yellow paint should be
mixed with 9 gallons of white paint
to make Lemon Yellow?
Answers
Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.
Answers
Answer:
The answer is "0.1040"
Step-by-step explanation:
Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]
[tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]
4x²=9/16 Solve the equation and show your work.
Answers
4*x^2-(9/16) = 0
4*x^2-9/16 = 0
4*x^2 = 9/16 // : 4
x^2 = 9/64
x^2 = 9/64 // ^ 1/2
abs(x) = 3/8
x = 3/8 or x = -3/8