The diver is approximately 276.5 feet away from the boat to the nearest foot.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the tangent function to solve this problem.
Let x be the distance from the boat to the point directly below the scuba diver on the water's surface.
Then we have:
tan(39°) = x/356
Multiplying both sides by 356, we get:
x = 356 tan(39°)
x = 276.5
Therefore,
The diver is approximately 276.5 feet away from the boat to the nearest foot.
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How do I solve this problem?
Step-by-step explanation:
Solution:
Given,
t1( first term ) a = -15
t2( second term ) b = -9
CD(Common Difference) = ?
We know,
CD = b - a
= -9 - ( - 15 )
= -9 + 15
= 6
Now,
t1 = -15
t2 = -9
t3 = -3
t4 = 3
t5 = a + ( n - 1 )CD
= -15 + ( 5 - 1 ) 6
= -15 + 24
= 9
t50 = a + (n - 1 ) CD
= -15 + ( 50 - 1 ) CD
= -15 + 49 × 6
= -15 + 284
= 269
So the sum of t50 is 269.
What is the equation of a line parallel to y=-3/2x+9
Answer:
y = - [tex]\frac{3}{2}[/tex]x
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
HELP ASAPUse the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x + 4).
P
p +
2.
-2.
9
-6
6
4
3
-1
1
-3
4
A. 2 and -6
B. -3 and 4
C. -2 and 6
D. 3 and -4
Option B is correct, the values of p and q in expression are -3 and 4.\
The given expression is x²+x-12.
This is expressed as (x+p)(x+q)
We have to find the values of p and q.
x²+x-12
Let us factorize the expression:
x²+4x-3x-12
x(x+4)-3(x+4)
(x-3)(x+4)
When we compare this with (x+p)(x+q) we get:
p=-3 and q=4
Hence, the values of p and q in expression are -3 and 4.
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1. Which of the angles below are supplementary?
Answer:
<3 and <4
Step-by-step explanation:
Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is
Answer:
Step-by-step explanation:
the geo. mean is the nth root of the product of n numbers
Here there are two numbers; geo. mean is the square root of their product
g = √(16 * 36)
g = 4 * 6
g = 24
Geometric mean is the mean which is the average of a set of a product.
The geometric mean of the given numbers is 24.
What is geometric mean?Geometric mean is the mean which is the average of a set of a product.
It can be given as,
[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]
Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.
Given information-
The numbers given in the problem is 16 and 36.
The Geometric mean for the number 16 and 36 has to find out.
Use the above formula to find the geometric mean for the number 16 and 36. Thus,
[tex]\prod=\sqrt{16\times36}[/tex]
[tex]\prod=\sqrt{576}\\\prod=24[/tex]
Hence the geometric mean of the given numbers is 24.
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Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1
15 points pls I need ASAP
Answer:
A. y = 3x + 3
Step-by-step explanation:
y=mx+b
b is the y-intercept (0,y) so lets start with that
We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3
For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m
The whole equation is y=3x+3
PLEASE HELP
WILL GIVE BRAINLIEST
Answer:
The answer will be 1.25
Step-by-step explanation:
12 7/12 - 11/1/3 = 1.25
Hope this helps!
Which statements apply to the expression (3/5^3) cubed? Check all that apply.
Answer:
The true statements are
3/5 is the base
3 is the exponent
(3/5)³ = 3/5 × 3/5 × 3/5
(3/5)³ = 27/125
Step-by-step explanation:
Let a and b be any integer, given the expression;
[tex]a^b[/tex]
a is the base
b is the exponent
Similarly if we have;
[tex]a^3[/tex]
This means we can multiply a in three places as shown;
[tex]a^3 = a \times a \times a[/tex]
Applying this to the given expression
[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]
The base value will be 3/5 and the exponent is 3
Jewan is setting up a monthly budget. His gross monthly income is $3125, but 20% is deducted for taxes. How much money is deducted in taxes, and how much is his monthly net pay?
Answer:
$625
$2500
Step-by-step explanation:
tax = percent of tax x income
0.2 x 3125 = 625
amount remaining = income - tax
3125 - 625
A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?
Answer:
It would be a 2/9 chance.
Step-by-step explanation:
So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.
With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.
Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.
With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.
Now, combine these two probablities by multipliying them and you've got your answer!
5/10 * 4/9 = 20/90 ---> 2/9
Translate the expression: 3 times the difference between 7 and
g is 90
Answer:
3(7-g)=90
You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.
Find the volume of the prism
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Melissa has 120 vanilla cake pops to sell. Each vanilla cake pops is covered with one topping. 1/2 of the cake pops are covered with chocolate sprinkles. 1/3 of the cake pops are covered with strawberry sprinkles. * the rest are covered with green sprinkles. How many cake pops are covered with green sprinkles?
Answer:
The Answer is 20 cake pops are covered with green sprinkles.
Step-by-step explanation:
So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:
Chocolate: 1/2=3/6
Strawberry:1/3=2/6
The rest are Green sprinkles.
So, your equation would be:
Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total
And their are 5/6 of Chocolate and Strawberry Sprinkles...
That would mean 100 Chocolate and Strawberry Sprinkles!
Because 1/6 of 120 is 20 and multiply that by five and you have 100...
Now that we have that, and we know the rest are green...
we just do 120-100=20
So their you go!
Sorry its long but hope it helps! <3
the area of a rectangle is x^2 - 13x + 30 find the dimensions and area of the rectangle of the perimeter is 30
Answer:
The area and perimeter of a rectangle work with steps shows the complete step-by-step calculation for finding the perimeter, area and diagonal length of the rectangle with the length of 5 in 5 i n and the width of 10 in 10 i n using the perimeter, area and diagonal length formulas.
Step-by-step explanation:
A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?
Answer: [tex]10.2"[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]
If the Straw fits exactly into the box diagonally
So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.
[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]
What are the answer please number which question you are answering
Answer:
7.
This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:
b + 52 = 90
b = 38.
Therefore, b is 38 degrees.
8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:
b + 117 = 180
b = 63
Therefore, b is 63 degrees.
9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:
b + 125 = 180
b = 55
Therefore, b is 55 degrees.
A bag contains 20 candies: 9 pink candies, 8 red candies, and the rest green candies. Without looking, Sarah pulls out a piece of candy. What is the probability of Sarah pulling out a green candy what is heat transfer?
( A) 1/10
( B) 3/10
(C) 3/20
(D) 1/20
Answer:
The answer is C
Hope this helps!
Mark me brainliest if I'm right ;)
Use the Multiplication Law of Exponents to solve the expression below. 91/2.91/2=
Answer: 15.64
Step-by-step explanation:
kahn
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Therefore,
m∠1 = 180° - (79 ° + 31°)
m∠1 = 180° - 110°
m∠1 = 70°
pls help me out here! ty in advance!!
Answer:
the value for x=50
Step-by-step explanation:
180=74+56+x
180=130+x
x=50
A quality control inspector at a clothing manufacturer
Quality control inspectors monitor quality standards for nearly all manufactured products, including foods, textiles, clothing, glassware, motor vehicles, electronic components, computers, and structural steel. Specific job duties vary across the wide range of industries in which these inspectors work.
EXPLAIN PLEASE HSHSJJS
Find the volume help me pls and thank
Answer:
Volume = 14.333
Step-by-step explanation:
Answer: 14.34 cm^3
Step-by-step explanation:
V = lwh
V = 3.2 cm x 2.8 cm x 1.6 cm
V = 14.34 cm^3
The green parallelogram is a dilation of the black parallelogram. What is the scale factor of the dilation?
A) 1/3
B) 1/2
C) 2
D) 3
=============================================================
Explanation:
"The green parallelogram is a dilation of the black parallelogram"
This tells us that the preimage is the black parallelogram and the image is the green one.
In short, the mapping is [tex]\text{black} \to \text{green}[/tex]
The image is smaller than the preimage (green is smaller than black), indicating the scale factor is some value of k such that 0 < k < 1. We can rule out choices C and D because of this.
--------------------
Measuring along the top, we can see that the black parallelogram goes from x = -6 to x = 8. Check out the image shown below where I've marked your given diagram, adding on helpful lines to show this going on.
The number-line distance from x = -6 to x = 8 is 14 units, so the top side of the black parallelogram is 14 units long.
The corresponding top side of the green parallelogram is 7 units long (because it spans from x = -3 and x = 4; as shown in blue in the figure below).
Divide the image length over its corresponding preimage length to get the scale factor.
scale factor = (image length)/(preimage length)
scale factor = 7/14
scale factor = 1/2
which points to choice B as our final answer.
Answer:
THE ANSWER IS C)2
Step-by-step explanation:
I GOT IT WRONG CUZ THIS DUDE ABOVE MEEE
(im big mad)
Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?
Answer:
4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense
If Amy has 5 apples and she eats 3 how many does she have left?
Answer:
2 apples.
Step-by-step explanation:
Answer:
She has 2 more apples left!
Step-by-step explanation:
Simple: this is the equation: 5 - 3 = 2!
Find the length DE. Round your answer to the nearest tenth of a meter
Answer:
13.8
Step-by-step explanation:
We can use trigonometry to find the length of DE
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )
When working with opposite and adjacent we use the trig ratio tangent
That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )
so [tex]tan(51)=\frac{17}{x}[/tex]
now we solve for x
Step 1 multiply each side by x
tan(51) * x = x tan (51)
[tex]\frac{17}{x} *x=17[/tex]
now we have x tan (51) = 17
step 2 divide each side by tan (51)
[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]
we now have
[tex]x =\frac{17}{tan(51)} \\[/tex]
[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]
we're left with x = 13.76632856
Finally we round to the nearest tenth and get that the answer 13.8
plz help me illl give brainlist 5.0 and thanks plz help rn !!!
Answer:
4+4+1
Step-by-step explanation:
Answer:
4 + 4 + 1
Step-by-step explanation:
4 + 4 + 1 = 9
4 + 5 = 9
They both equal up to 9
Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more
of her classmates like tacos as compared to her relatives?
Answer: 9 more of her classmates like tacos as compared to her relatives
Step-by-step explanation:
first mutiply 75 x 48 =3600
3600/100=36
Then, 45 x 60=2700
2700/100=27
and substract 36-27=9
thats the answer, hope this helped!
What is 5 to the 6 power divided by 3794.3?
Answer:
4.11801913396
Step-by-step explanation:
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