Answer:
Hope this helps
Step-by-step explanation:
A surveyor is trying to find the length of a lake. He finds a baseline distance AB of 125 m. Angle A is measured to be 41.6° and angle B is measured at 124.3°. Find the length of the lake d. Please and Thank you.
Answer:
[tex]d = 340.7m[/tex]
Step-by-step explanation:
See attachment for question illustration
From the attachment, we have:
[tex]AB = 125m[/tex]
[tex]<A = 41.6[/tex]
[tex]<B = 124.3[/tex]
Required
Solve d
First, we need to calculate <C
[tex]<A + <B + <C = 180[/tex] --- angles in a triangle
[tex]41.6+ 124.3 + <C = 180[/tex]
[tex]165.9+ <C = 180[/tex]
Make <C the subject
[tex]<C = 180 - 165.9[/tex]
[tex]<C = 14.1[/tex]
Next, we apply Sine's law to solve for d
[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]
In this case:
[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]
Make d the subject
[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]
[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]
[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]
[tex]d = 340.663639629[/tex]
[tex]d = 340.7m[/tex]
Hence, the base of the lake is approximately 340.7m
In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.
Answer:
C. Right and isosceles
Explanation:
Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.
Hope this helps :)
Answer:
It is C.
Step-by-step explanation:
Hope this helped have an amazing day!
What would 2^-5 equal ?
Answer:
0.03125
Step-by-step explanation:
Step-by-step explanation:
2 times -5 would equal -10 because if you add 5, 2 times so 5+5 you would get 10, but because 5 is a negative, 10 is also negative.
A tax deduction helps lower one's taxes, bit how does it do it?
A) a tax deduction increases one's income
b) a tax deduction lowers one's taxable income aking less tax due
c) a tax deduction lowers the percentage of sales tax for those with lower income
d) a tax deduction lowers the percentage of sales tax for those with lower income
Answer is B because I learned it in school
Which of the binomials below is a factor of this trinomial?
4x² + 12x + 9
The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The factor of the polynomial is calculated as:-
4x² + 12x + 9 = 4x² + 6x + 6x + 9
= 2x ( 2x + 3 ) + 3 ( 2x + 3 )
= (2x + 3)(2x + 3)
The factor is (2x + 3). Hence, the correct option is A.
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I. What is
42% of
18?
need help fast!
Answer:
It is 7.56!
Other:
Brainliest? Thanks!
What is the temperature if it is 9° colder than 15 F
Answer:
24 Degrees Farinhieght.
Step-by-step explanation:
15 degrees farinhieght added to 9 is 24 degrees.
Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!
The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the center of the circle be P ( -4 , 9 )
Let the diameter of the circle be d = 10 units
So , the radius of the circle r = d/2 = 5 units
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
So , the equation of circle is
( x + 4 )² + ( y - 9 )² = 25
Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25
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Can someone please help me ?
Answer:
Option c is correct
Step-by-step explanation:
Y =mx+c
Where m=2/3
c= 8/3
Answer:
the third option is the right answer
Step-by-step explanation:
y = mx+c
m is the slope
c is the y-intercept
compare the below equations:
[tex]y = mx + c[/tex]
[tex]f(x) = \frac{2}{3} x + \frac{8}{3} [/tex]
[tex]m = \frac{2}{3} \: and \: c = \frac{8}{3} [/tex]
What is the inverse of the function f(x) = x +3?
1- First, replace f(x) with y
f(x) = x +3 ⇒ y = x + 3
2. Replace every x with a y and replace every y with an x .
y = x + 3 ⇒ x = y + 3
3. Solve the equation from Step 2 for y.
x = y + 3 ⇒ y = x-3
4 - Replace y with f⁻¹(x).
f⁻¹(x) = x-3
The inverse is f⁻¹(x) = x-3
The school carnival has a booth of where people can win prizes by guessing the correct number of items in different sized jars just by looking at them. Jessica really wants the cylinder shaped jar full of sour jawbreakers. What would get her closest to the correct number of jawbreakers without being disqualified from the contest?
Answer:
D
Step-by-step explanation:
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=−7x+3
y=−x−3
Answer:
(1,-4)
Step-by-step explanation:
Given:
y = −7x+3
y = −x−3
Computation:
y = −7x+3......eq1
y = −x−3.......eq2
Eq 1 - 2
-6x + 6 = 0
x = 1
So,
y = −7x+3
y = −7(1)+3
y = -4
So,
(1,-4)
help please!!!!!!!!!!
Answer:
x=3
y=5
Step-by-step explanation:
5x+3(0) The y is zero because in the x-intercept the y is zero (same for x)
5/5x=15/5
x=3
5(0)+3y=15
3/3y=15/3
y=5
Which of the symbol correctly relates The two numbers below 19?20
Answer:
<
Step-by-step explanation:
Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon choose 
Answer:
4 5 and 20
Step-by-step explanation:
A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?
Answer:
12.75
Step-by-step explanation:
If you make a proportion: 48/1=612/x
1(612)= 612
612/48
12.75 hours
At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.
What is the distance?A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
A car is traveling at a rate of 48 miles per hour.
To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:
⇒ distance ÷ rate
⇒ 612 miles / 48 miles/hour
Apply the division operation, and we get
⇒ 12.75 hours
Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.
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HELP GIVEING BRAINLIST What is the solution set of -11 > 1 + a?
a > -10
a -12
a < -10
a < - 12
Answer:
the solution set is -11 > 1 + a?
a > -10
a -12
a < -10
Write the slope-intercept form of the equation of the line through the given point and slope.
Point: (-1, 2)
Slope: 1.
Answer:
y=x+3
Step-by-step explanation:
same as the last one =)
can you help me with this question please
Answer:
correct answer it's A
give me a like at least please
What’s the value of x? :/
Answer:
[tex] x = 27 [/tex]
Step-by-step explanation:
According to congruent chords and arcs theorem, if [tex] \overline{XY} \cong \overline{ZY} [/tex] then [tex] \arc{XY} \cong \arc{ZY} [/tex].
This means that [tex] \arc{XY} = \arc{ZY} = (6x - 20) degrees [/tex]
Thus:
[tex] \arc{XY} + \arc{ZY} + \arc{ZX} = 360 [/tex] (full circle = 360°)
[tex] \arc{XY} = (6x - 20) [/tex]
[tex] \arc{ZY} = (6x - 20) [/tex]
[tex] \arc{ZX} = 76 [/tex]
Plug in the values into the equation
[tex] (6x - 20) + (6x - 20) + 76 = 360 [/tex]
[tex] 6x - 20 + 6x - 20 + 76 = 360 [/tex]
Add like terms
[tex] 12x + 36 = 360 [/tex]
Subtract 36 on both sides
[tex] 12x = 360 - 36 [/tex]
[tex] 12x = 324 [/tex]
Divide both sides by 12
[tex] x = 27 [/tex]
A local flower shop sells a dozen roses for $12.85. If there is an 8% sales tax, how much in TOTAL will you pay for the roses
Answer:
13.87
Step-by-step explanation:
**********************
Answer:
4
Step-by-step explanation:
you do 2x+2x+6+3x+1 as this is simplified then it is 7x+7=35 then you take away 7 and that is 7x=28 and then u do x=28/7 and then you do x=4 you can check by substituting X
What is 3/8 equal to in decimals..?
Answer:
.375
Step-by-step explanation:
Answer: 0.375
Step-by-step explanation:
Hey there! If you have any questions feel free to leave them in the comments below.
To find the answer you would divide the numerator by the denominator. [tex]\frac{3}{8}[/tex] would be equal to 0.375
~I hope I helped you :)~
a grandfather is nine times older than his granddaughter. in 8 years the grandfather will be five times older than his granddaughter how old is each of them now?
Answer:
Grandfather is 72 and granddaughter is 8
Step-by-step explanation:
f is grandfather and d is granddaughter.
f = 9d
f+8 = 5(d+8)
9d+8=5d+40
4d=32
d=8
f=9*8=72
Answer:
the grandpa is 72 the little girl is 8
Step-by-step explanation:
−4(m+3)=24
m=?
If you know the answer, please let me know. I really need help. Thank you.
(If the answer is right, this person will be the smartest)
Answer:
Your answer is going to be m=-9
Step-by-step explanation:
(-4(m+3))/-4=(24)/-4
m+3=-6
-3 -3
m=-9
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.
Answer:
24 + 6
Step-by-step explanation:
PLEASE ANSWER ASAP WILL GIVE 20 POINTS IF CORRECT PLS ANSWER NOW
What is the product of 3.4 × 10^-14 and 1.8 × 10^28?
6.12 × 10^14
9.4 × 10^14
5.2 × 10^42
6.12 × 10^42
Answer:
Its 6.12 × 10^42
Step-by-step explanation:
U have to break it into pieces.. Np Merry Christmas
the absolute value of 15.3 is the opposite of 15.3?
Answer:
No. The absolute value of 15.3 is 15.3, not the opposite.
Step-by-step explanation:
Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.
IF you do this for points YOU WILLLL NOT BE BRAINLEST AND YOU HAVE 1 HOUR IF IT IS LESS THAN AN HOUR NO ONE WILLL BE BRAINLEST !!!!!!!!!!!
Which number is missing on the following number line?
Answer:
21
Step-by-step explanation:
It is going by multiples of 7, so the answer is 21.
1) A box contains 6 red marbles, 10 black marbles, 4 green marbles, and 2 white marbles. One
marble is drawn randomly. What is the probability that it is black or white marble?
Answer:
The probability of a white marble or black marble being drawn is 12/22.
Step-by-step explanation:
First, add all the marbles together.
6 + 10 + 4 + 2 = 22
10 + 2 = 12
= 12/22
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!