Step-by-step explanation:
I assume the boat is going straight out on the same horizontal line.
we have 2 right-angled triangles.
at point A
there is the ground distance from A to the lighthouse. which is 1390 ft.
then there is the height of the lighthouse.
and the line of sight from A to the lighthouse light.
the angle at A is 7°.
the angle at the bottom of the lighthouse is 90°.
therefore, the angle at the lighthouse light = 180 - 90 - 7 = 83°.
at point B
the ground distance from B to the lighthouse.
the height of the lighthouse again.
and the line of sight of B to the lighthouse light.
the angle at B = 4°.
the angle at the lighthouse bottom is again 90°.
therefore, the Angie at the lighthouse light is 180 - 90 - 4 = 86°.
we need the law of sine to solve this and find the missing side lengths.
a/sin(A) = b/sin(B) = c/sin(C)
with the sides and the correlated angles being opposite.
the first we need to do is finding the height of the lighthouse via triangle A, so that we can use it then also in triangle B.
1390/sin(83) = height/sin(7)
lighthouse height = 1390×sin(7)/sin(83) = 170.6705397... ft
now, we can use that in triangle B to get the ground distance to the lighthouse :
height/sin(4) = ground distance/sin(86)
ground distance = height×sin(86)/sin(4) =
= 2,440.702427... ft
the distance from A to B is the difference between that ground distance and the original distance of 1390 ft :
2,440.702427... - 1390 = 1,050.702427... ft ≈
≈ 1,051 ft
Write 2350 million in standard form.
Answer:
2,350,000,000
Step-by-step explanation:
hope this helps
Which of the following is NOT a valid Triangle Congruence Theorem?
A
SSS
B
ASA
C
SAS
D
SSA
Answer:
B
Step-by-step explanation:
Because if 2 angle of a triangle are equal the 3rd ones will be equal, since the sum of the angles of the triangle is 180
Monica is three years younger than Lori. Monica is 29 years old. write an equation that can be used to determine Lori's age
Answer:
[tex]x=32[/tex]
Based on the given conditions, formulate:
[tex]x-3=29[/tex]
Rearrange variables to the left side of the equation
[tex]x=29+3[/tex]
Calculate the sum or difference
[tex]x=32[/tex]
I hope this helps you
:)
HELP PLEASE! LOTS OF POINTS: How many distinct positive integer factors would the following product have: 21 times 36 times 51?
Help
•••••••••••••••••••••••••••
Answer:
LAST ONE
Step-by-step explanation:
pls help :((
i rlly appreciate it ^_^
FALSE
7Y= 1 --> Y= ⅐ NOT 7
so it can't be it's solution
There are 12 pounds of dirt to be shared equally among 8 flowerpots.
Answer:
1 1/2
Step-by-step explanation:
Brainiest please
HELP will mark brainlesest
Answer:
the angles and side length will stay the same
Step-by-step explanation:
it's a rigid translation, meaning that the shape doesn't change
8.25 halfway to the nearest tenth
Answer:
10
Step-by-step explanation:
19.5+24+7.5 =
19.5+__+24 =
___+24___=
Answer:
19.5+24+7.5 = 51
19.5+51+24 = 94.5
51+24+94.5=169.5
Step-by-step explanation: Basically for the blanks you insert the answer you got..
Answer:
19.5+24+7.5=51
19.5+7.5+24=51
19.5+24+7.5=51
A replica of the Eiffel Tower has a scale factor of 100:1. If the Eiffel tower is 1063 feet tall, how tall is the replica?
Answer:
Height of replica = 10.63 feet
Step-by-step explanation:
Given :-
Scale factor = 100 : 1
Height of Eiffel Tower = 1063 feet
To Find :-
Height of replica (h)
Solving :-
100 = 1063 / x
x = 1063/100
x = 10.63
Solution :-
Height of replica = 10.63 feet
g(x)=x^2-6x+8 write in quadratic formula
Answer:
The answers are
x
=
−
2
and
x
=
−
4
.
Step-by-step explanation:
To start, the quadratic formula is
x
=
−
b
±
√
b
2
−
4
a
c
2
a
In this problem,
a
=
1
(as the
x
2
term has no coefficient),
b
=
6
, and
c
=
8
.
Plug those values into the quadratic equation to get:
x
=
−
6
±
√
6
2
−
4
(
1
)
(
8
)
2
(
1
)
Multiply
2
⋅
1
on the bottom of the fraction:
x
=
−
6
±
√
6
2
−
4
(
1
)
(
8
)
2
Square
6
and multiply
4
⋅
1
⋅
8
within the square root:
x
=
−
6
±
√
36
−
32
2
Subtract
36
−
32
inside the root:
x
=
−
6
±
√
4
2
Solve for
√
4
x
=
−
6
±
2
2
If the
±
is positive, you get
x
=
−
6
+
2
2
, which simplifies to
x
=
−
4
2
, or
−
2
If the
±
is negative, you get
x
=
−
6
−
2
2
, which simplifies to
x
=
−
8
2
, or
−
4
Find the equation of the line passing through (-4,-2) and having a slope of 0.
Using the point-slope form:
⇒ [tex](y-y0) = m(x-x0)[/tex]
Which require one point (x0,y0) on the line and the slope (m)
(x0,y0) --> (-4,-2)m --> 0Thus let us plug int the value
[tex](y + 2) = 0(x + 4)\\y + 2 = 0\\y = -2[/tex]
Thus the equation of the line is y = -2
Hope that helps!
Round this answer (1,417.4) to the nearest tenth of a gram. can someone please so very kindly help me with this ASAP!
Answer:
1417.4 if they are looking for a whole number the answer is 1417
Step-by-step explanation:
Hope this helped :)
P.S. If this is wrong please let me know
4,5,6,6,7,7,8,8,8,8,8,9,9
What is the median of the set of numbers?
Answer:
8
Step-by-step explanation:
4,5,6,6,7,7,8,8,8,8,8,9,9
x x x x x x x x x x x x
find the distance from the point (6,4) to the line y=x+4
9514 1404 393
Answer:
3√2
Step-by-step explanation:
The distance from point (x, y) to the line ax+by+c=0 is given by ...
d = |ax +by +c|/√(a²+b²)
In general for, the equation of the line is ...
x -y +4 = 0
so the distance formula is ...
d = |x -y +4|/√(1² +(-1)²) = |x -y +4|/√2
For the given point, the distance is ...
d = |6 -4 +4|/√2 = 6/√2
d = 3√2 . . . . distance from the point to the line
1+3+7+1+4+2+3 using the standard way. please need help
best answer get brainlist
Answer:
21
Step-by-step explanation:
First add 1 and 3 which will give you 4 then you add 4 and 7 and will get 11 then add 1 to get 12 then add 4 to get 16 then add 2 and get 18 and then add 3 and you will get the final answer 21
Hope this helps!
Answer:
See below.
Step-by-step explanation:
Order of operations state that the order in which to solve is left to right.
1+3+7+1+4+2+3
1+3=4
4+7=11
11+1=12
12+4=16
16+2=18
18+3=21
-hope it helps
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah running at a constant speed. explain your reasoning
Hurry please I need it ASAP!!
Find the required table attached
Since the speed of the Cheetah is constant, this means that the speed must be the same all through in the table.
To get the unknown time and distance, we will have to use the formula below:
Speed = Distance/Time = kWhen distance = 120m, time = 4secsSpeed = 120/4 = k
Speed = 30m/s = k
We are to get the distance when the time is 25secs
Speed = Distance/Time
30 = d₂/25
d₂ = 30 × 25
d₂ = 750 m
To get the time in the third column
Time = Distance/Speed
t₃ = 270/30
t₃ = 9seconds
Find the completed table attached:
Learn more here: https://brainly.com/question/8085089
Can someone please help with this?
Answer:
∠K = 80°
∠M = 100°
Step-by-step explanation:
Angles along a line total 180°. So, your equation for ∠K is ...
60° +40° +∠K = 180°
∠K = 180° -100° = 80°
Similarly, ...
∠M = 180° -∠K = 100°
_____
Additional comment
Together, the 60° and 40° angles make a 100° angle that is vertical to (and congruent with) ∠M. Recognizing that, you know ∠M = 100°. ∠P is a vertical angle with ∠K, so will have the same measure, 80°.
what is 1 +1 pls HELP
Answer:
2
Step-by-step explanation:
Subject: Re: Need the math proof for 1 + 1 = 2
The proof starts from the Peano Postulates, which define the natural
numbers N. N is the smallest set satisfying these postulates:
P1. 1 is in N.
P2. If x is in N, then its "successor" x' is in N.
P3. There is no x such that x' = 1.
P4. If x isn't 1, then there is a y in N such that y' = x.
P5. If S is a subset of N, 1 is in S, and the implication
(x in S => x' in S) holds, then S = N.
Then you have to define addition recursively:
Def: Let a and b be in N. If b = 1, then define a + b = a'
(using P1 and P2). If b isn't 1, then let c' = b, with c in N
(using P4), and define a + b = (a + c)'.
Then you have to define 2:
Def: 2 = 1'
2 is in N by P1, P2, and the definition of 2.
Theorem: 1 + 1 = 2
Proof: Use the first part of the definition of + with a = b = 1.
Then 1 + 1 = 1' = 2 Q.E.D.
Note: There is an alternate formulation of the Peano Postulates which
replaces 1 with 0 in P1, P3, P4, and P5. Then you have to change the
definition of addition to this:
Def: Let a and b be in N. If b = 0, then define a + b = a.
If b isn't 0, then let c' = b, with c in N, and define
a + b = (a + c)'.
You also have to define 1 = 0', and 2 = 1'. Then the proof of the
Theorem above is a little different:
Proof: Use the second part of the definition of + first:
1 + 1 = (1 + 0)'
Now use the first part of the definition of + on the sum in
parentheses: 1 + 1 = (1)' = 1' = 2 Q.E.D.
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether the proportions have changed, a random sample of 300 students from ABC University was selected. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. Refer to Exhibit 12-4. This problem is an example of a _____. a. multinomial population b. normally distributed variable c. uniformly distributed variable
Answer:
A. Multinomial population
Explanation:
A multinomial population has categorical data. In other words data in this form has different classes in which data is grouped into. These classes do not overlap and are more than two as opposed to binomial populations that have just two outcome variables or data categories. For example in the above data, we see that data is grouped into three categories:students in business college, students in liberal art college and students in education college
Five-sevenths of the T-shirts in a T-shirt shop are blue. Seven-ninths of those T-shirts are on sale. One-fifth of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium? Explain
Answer:
2/5
Step-by-step explanation:
If you take 5/7//9+82+23=2-5
The ____ of two or more sets is the set that contains all elements of the set.
Answer:
Union
Step-by-step explanation:
The UNION of two or more sets is the set that contains all elements of the set.
hey can someone help me I pay you £50
Answer:
x= 31 degrees
Step-by-step explanation:
122x2=244
360-244 = 116
116/2 = 58
z= 91 degrees
so the inside next to corner b is 58 degrees
91 + 58 = 149
180 - 149 = 31
x = 31
the diagonals of a rectangle is 25in. The width is 15 inches. What is the length ? ( Pythagorean theorem c^2 = a^2 + b^2)
Answer:
20
Step-by-step explanation:
(You could also use 3-4-5 method, 15, 20 , 25)
[tex]15^{2} +x^{2} =25^{2}\\225+x^{2}=625\\-225 -225\\x^{2}=\sqrt{400}\\x = 20\\Length = 20 \\\\\\[/tex]
look at photo please answer for brainiest
Answer:
60°
0° or 360°
Step-by-step explanation:
*for the symmetrical hexagon you can rotate it one angle and it'll look unmoved.
*for the 4 since it's not symmetrical you need to do a complete rotation or not move it at all. so either 360° or 0°
Find the distance between points (4,-9) and (-2,6)
Answer:
16.1555
Step-by-step explanation:
This figure represents a small glass container.
What is the volume of the container?
270 in³
264 in³
240 in³
216 in³
Answer:
The answer is D. 216 [tex]in^{3}[/tex]
Step-by-step explanation:
I took the test. Hope this helps.
The volume of the container is 216 inches³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given a container.
A triangular prism consists of two triangular bases and three rectangular faces.
The given container is a right triangular prism.
Volume of a triangular prism = Base area × Length of the prism.
Base area = Area of right triangle
= [tex]\frac{1}{2}[/tex] × 6 × 8
= 24 inches²
Length of the prism = length between the base triangles = 9 inches
Volume = 24 × 9 = 216 inches³
Hence the required volume of the container is 216 inches³.
Learn more about Volume here :
https://brainly.com/question/17004095
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4a^2+b^2−c^2+4ab Help me find the answer plz
Practice Exercise 1:
1. Given the polynomial functionp(x) = 12 + 4x - 3x2 – x3, find
(a) The degree of the polynomial
(b) The leading coefficient
(c) The constant term
(d) The number of zeroes
Answer:
Step-by-step explanation:
A