Answer:
76 feet
Step-by-step explanation:
let 'd' = distance from bottom of cliff and ship
sin 37 = sin 53
d 100
0.61 = 0.8
d 100
cross-multiply: 61 = .8d
d = 76
I assumed the bottom of the cliff and the shore formed a 90 degree angle - which leaves the 37° angle and a 53° angle
Mr. Starnes and his wife have 6 grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have 2 extra tickets to a holiday show, and will randomly select which 2 grandkids get to see the show with them. Find the probability that at least one of the girls (Piper and Sedona) get to go to the show.
Answer:
the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533
Step-by-step explanation:
The computation of the probability that have at least one of the girl get to go is shown below;
[tex]= \frac{^2C_1 \times ^4C_1}{^6C_2} \\\\= \frac{8}{15}\\\\= 0.53333[/tex]
Hence, the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533
So the same is relevant
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5
The number of grandchildren = 6
The number of girls = 2
Two grandkids out of 6 are to be selected
Number of ways of choosing 2 grandkids out of 6 is 6C2
[tex]6C2=\frac{6!}{(6-2)!2!} \\\\6C2=\frac{6!}{4! \times 2!} \\\\6C2 = 15[/tex]
Number of ways of selecting 2 grandkids out of 6 = 15 ways
Number of ways of selecting 1 out of the two girls =2C1
[tex]2C1= 2[/tex]
Number of ways of selecting 1 out of the two girls = 2 ways
Number of ways of selecting of selecting both girls =2C2
Number of ways of selecting of selecting both girls = 1 way
Probability of selecting 1 out of the two grandkids = 1/15
Probability of selecting both girls = 2/15
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/15 + 2/15
probability that at least one of the girls (Piper and Sedona) get to go to the show = 3/15
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5
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What is the value of x in the equation 8x – 2y = 48, when y = 4?
6
ОО
7
O 14
48
An automobile uses 17 gal of fuel to go to 590mi. How many gallons are required to travel 870mi? (Round your answer to one decimal)
Answer:
[tex]Gallons = 27.95[/tex]
Step-by-step explanation:
Given
[tex]Gallons : Miles = 17:590[/tex]
Required
Determine the number of gallon for 870 miles
To do this, we simply substitute 870 for miles in the ratio above
So, we have:
[tex]Gallons : 870= 17:590[/tex]
Convert to fraction
[tex]\frac{Gallons}{870} = \frac{17}{590}[/tex]
Multiply through by 870
[tex]870 * \frac{Gallons}{870} = \frac{17}{590}*870[/tex]
[tex]Gallons = \frac{17}{590}*970[/tex]
[tex]Gallons = \frac{17*970}{590}[/tex]
[tex]Gallons = \frac{16490}{590}[/tex]
[tex]Gallons = 27.95[/tex]
Find x in the following triangle
Answer:
try using sin=opposite/hypotenuse to find the length of x. not sure
Which Expressions are equivalent to:
3(2/3p + 3 - 1/3p - 5)
Picture is provided
Answer:
the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)
Answer:
3 (1/3p+3-5), p-6, 3(1/3p-2)
Step-by-step explanation:
I did the iready quiz and got it correct.
6. Find the surface area of the triangular prism.
6 cm
8cm
8cm
5 cm
10 cm
Answer:
246m²
Step-by-step explanation:
use the formula for the surface area and substitute the values
PLZ HELP ASAP! WILL GIVE 30 POINTS AND BRAINLIEST! which sequence of transformations will generate the same image as translating a figure 8 units to the left?
a) a reflection over the line x= -1 followed by a reflection over the line x= -9.
b) a reflection over the line x= -3 followed by a reflection over the line x= -5.
c) a reflection over the line x= -7 followed by a reflection over the line x= -3.
d) a reflection over the line x= -9 followed by a reflection over the line x= -13.
i hate math whats 5 + 5
Class 607 has 27 students: 14 students have
green eyes, 7 students have blue eyes, and 6 students have brown eyes:
Answer:
teal
Step-by-step explanation:
brown blue green and teal are the only eye colors out there
What is the solution of the syster
O
(-6,0)
(-3, 1)
0
(0, -3)
(1, -3)
Answer:
(-3, 1)
Step-by-step explanation:
the point where both touch = the solution
Ella is Bono motorcycle and he’s taking out a loan in the amount of $15,000 her choice is for the loan or a 36 month loan at 6.50% annual simple interest and 48 month loan at 7.50 annual simple interest what is the difference in the amount of interest Ella would have to pay for these two loans
Answer:
Step-by-step explanation:
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
Considering the 36-month loan,
T = 36 months = 36/12 = 3 years
P = $15000
R = 6.5%
Therefore
I = (15000 × 6.5 × 3)/100
I = 292500/100
I = $2925
Considering the 48-month loan loan,
T = 48 months = 48/12 = 4 years
P = $15000
R = 7.5%
Therefore
I = (15000 × 7.5 × 4)/100
I = 450000/100
I = $4500
The difference in the amount of interest Ella would have to pay for these two loans is
4500 - 2925 = $1575
PLEASE HELP!!!!
A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?
Answer:
The fare ride was 11 miles.
Step-by-step explanation:
So it says that for the first mile the taxi charged $4.00 okay? so then it says for each additional mile he charges $1.25 so what i did was add the $4.00 and then kept on adding $1.25. so $4.00 plus $1.25 equals $5.25 so continue adding $1.25 till you get to exactly $16.50.. Count up exactly how many "$1.25's" it took to get to $16.50 so it would be exactly 10 times you had to add $1.25 to it and we cant forget the first mile which was $4.00 so thats an additional mile so then it would 11 miles !
Write the ratio 3/9 4/9 in simplest form
Answer:
3/9 is 1/3 but 4/9 is already simplified :D
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:
PLEAAE HELP ITS EASY!!!! WORTH LOTS!!How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please
Step-by-step explanation:
We need to find (1 1/4) / (1/8).
(1 1/4) / (1/8)
= (5/4) / (1/8)
= (5/4) * 8
= 40/4
= 10.
Answer:
10/8 if not, I am sorry...
HELP FAST!!!!!!!!!!!
Answer:
These are exactly 3 isosceles triangles
Step-by-step explanation:
Look at A, B, C.
There are exactly three isosceles triangles.
A, B, and D are isosceles triangles.
Each one has two congruent sides.
what's the answer!!!:))
Answer
I believe it's the second option.
Explanation
Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.
plz help
Answer:
Explained below
Step-by-step explanation:
A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.
Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.
Now, for example let's consider the number 5.
It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c
Now, the opposite of these fractions like we are told to check in the question results in;
1/5; 2/10; 4/20; -1/-5;
The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.
which number from the set {9, 10, 13, 15} is the solution to this equation
3(x - 7) = 9
A) 9
B) 10
C) 13
D) 15
What is the unit price for a soft drink, if a 12 pack costs $6.00?
Answer:
$2
Step-by-step explanation:
i think
What is the surface area of the square pyramid represented by the net below?
48 cm2
16 am
64 cm2
4 cm
96 cm2
112 cm2
Answer: 96
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
Fred has $85 to spend on Christmas present for his family. After buying 8 presents, he has $5 left.on average how much did each present cost?
Answer:
Im not really sure but i think 10
Step-by-step explanation:
what is pi? I need help with this lol, first to answer gets brainliest
Answer:
✓ What is pi?
The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.Being an irrational number, π cannot be expressed as a common fraction, although fractions such as 22/7 are commonly used to approximate it. Equivalently, its decimal representation never ends and never settles into a permanently repeating pattern. Its decimal (or other base) digits appear to be randomly distributed, and are conjectured to satisfy a specific kind of statistical randomness.I’ll give brainly
Find m GPQ
Answer:
130 degrees
Step-by-step explanation:
All you have to do is add the measure of angle R and angle Q, which are 35 and 95. 35 + 95 = 130 degrees
What number can replace x to make a true statement?
Solve for x.
3(-2x-3)+4x-3=8
Hey there!
DISTRIBUTE
3(–2x – 3) + 4x – 3 = 8
3(–2x) + 3(–3) + 4x – 3 = 8
COMBINE LIKE TERMS
–6x – 9 + 4x – 3 = 8
–2x – 12 = 8
ADD by 12 on BOTH SIDES
–2x – 12 + 12 = 8 + 12
CANCEL out: –12 + 12 because that gives 0
KEEP: 8 + 12 because it helps us solve for x
“8+ 12 = 20”
–2x = 20
DIVIDE by –2 on BOTH SIDES
–2x/–2 = 20/–2
CANCEL out: –2/–2 because that gives 1
KEEP: 20/–2 because that gives you x
“x = 20/–2”
Answer: x = –10 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
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1) Which expression is equal to
10 x(13)
A. 10 + (1+3)
B. (10 x 1)+3
C. 10 + (1x3)
- D. (10 * 1)3
Answer:
None of the expressions in the option is equal to 10 x(13).
Step-by-step explanation:
The answer can be verified by calculating the values of the expression in the question, those of each options, and then compare as follows:
Value of the expression = 10 x (13) = 10 x 13 = 130
Therefore, we have:
A. 10 + (1+3) = 10 + 4 = 14 [tex]\neq[/tex] 130
B. (10 x 1)+3 = 10 + 3 = 13 [tex]\neq[/tex] 130
C. 10 + (1x3) = 10 + 3 = 13 [tex]\neq[/tex] 130
D. (10 * 1)3 = 10 * 3 = 30 [tex]\neq[/tex] 130
Based on the calculations above, none of the expressions in the option is equal to 10 x(13).
PLEASE HELP NEED IN 5 MINUTES!!! Brainly If Right Answer!
Which expression shows the result of applying the distributive property to 1/4(−3n+3/2)?
−3/4n−3/8
−3/4n+3/8
3/4n−3/8
3/4n+3/8
Answer:
[tex] - \frac{3}{4} n + \frac{3}{8} [/tex]
Step-by-step explanation:
[tex] \frac{1}{4} ( - 3n + \frac{3}{.2} [/tex]
1/4multiply both -3n and 3/2
Select all the correct answers.
Which expressions are equal to 105?
(104)1
1
103.102
1
105
(103)2
10.10.10.10.10
The expressions that equal to 10⁵ are, 10³.10² and 10.10.10.10.10.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
The expression that equals to 10⁵ are,
10³.10².
= 10 ³⁺².
= 10⁵.
10.10.10.10.10 ('.' implies multiplication)
= 10¹.10¹.10¹.10¹.10¹.
= 10¹⁺¹⁺¹⁺¹⁺¹.
= 10⁵.
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When Marco swim, the number of calories burned after time x, In minutes, is given by the equation
y = 330 + 8.2x
how many calories will Marco burn after 30 minutes.
1. 566
2. 246
3. 228
4. 576