Answers
[tex]\\ \sf\longmapsto tan28=\dfrac{BC}{AC}[/tex]
[tex]\\ \sf\longmapsto 0.5317=\dfrac{BC}{29.3}[/tex]
[tex]\\ \sf\longmapsto BC=29.3(0.5317)[/tex]
[tex]\\ \sf\longmapsto BC=15.5mi[/tex]
Now
[tex]\\ \sf\longmapsto AB^2=29.3^2+15.5^2[/tex]
[tex]\\ \sf\longmapsto AB^2=848.49+240.25[/tex]
[tex]\\ \sf\longmapsto AB^2=1088.74[/tex]
[tex]\\ \sf\longmapsto AB=32.9mi[/tex]
Related Questions
What is the sum of the two expressions? (3/7x+4)+(1/7x-2)
Answers
Combine the like terms:
3/7x + 1/7x = 4/7x
4 + -2 = 4-2 = 2
Answer: 4/7x + 2
Explain how you can write 4.1 as a/b
Answers
Answer:
ax + by
Step-by-step explanation:
i hope its correct
if its wrong then im sorry :)
what is the trend of the graph of the equation y = 3x + 10
Answers
Answer:
3x+y-10
Step-by-step explanation:
please Mark my answer in brainlist
Five tickets numbered 1, 2, 3, 4, and 5 are placed in a box, and three are selected at random. Determine the probability of obtaining a 1 or a 2 or both.
Answers
Answer:
the probability is 1 and 2
If 10 candy cost $35. How much candy can I buy with $20
Answers
Answer:
6 candies
Step-by-step explanation:
(find unit rate, cost / quantity)
35/10 = 3.5
20/3.5 = = 5.7142857142857
candies cannot be in decimal so you must round to the nearest whole
The sum of two numbers is 17 and their product is 66 what are the two numbers.
Answers
Answer:
11 and 6
Step-by-step explanation:
Let the numbers be X and Y
Then their sum: X+Y=17 equation 1
Product: X×Y=66 equation 2
X+Y=17. X =17-Y
XY=66.
(17-Y)Y=66 -Y²+17Y-66=0
Y=6 or 11
X=17-Y. X=17–6=11 or X=17–11=6
Therefore you can conclude that the numbers are 11&6
Answer:
11 and 6
Step-by-step explanation:
x + y = 17
x × y = 66
First, solve for y
x + y = 17
x + y - x = 17 - x
y = 17 - x
Then substitute y to x × y = 66
x × y = 66
x(17 - x) = 66
17x - [tex]x^{2}[/tex] - 66 = 66 - 66
- [tex]x^{2}[/tex] + 17x - 66 = 0
(- [tex]x^{2}[/tex] + 17x - 66) = 0
(-x + 6)(x - 11) = 0
-x + 6 = 0
-x + x +6 = 0 + x
6 = x or x = 6
x - 11 = 0
x - 11 +11 = 0 + 11
x = 11
Then the numbers are 11 and 6
Charlie saves $2 for every $9 he earns. Melody saves $4 for
every $12'she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned?
Answers
no they are not equivalent
Step-by-step explanation:
due that when you subtract 12 from 4 =8
but when you subtract 9-2=7 and that when Charlie will be losing a dollar and that Melody will have a dollar more
Jorge wants to find the height of the house, help him find it.
Answers
answerrrrrrrrrrrr plssssssssssssssssssssssssssssssss
Answers
If it takes you 2 1/2 hours to assemble one unit, how many units will you complete in 15 hours? (Change 2 1/2 to improper fraction first)
Answers
Answer:37.5
Step-by-step explanation:
2 1/2 as an improper fraction is 5/2
If i'm wrong tell me please i hope this helped you
Here is another one if anyone can help me out
Answers
Answer:
1. 3 × Equation [A2] --> Equation [B2]
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
Step-by-step explanation:
1. 3 × Equation [A2] --> Equation [B2]
Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol
Instead, this works:
4x × 3 = 12x
-7y × 3 = -21y
8 × 3 = 24
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
(-3x × 4) + 12x = -12x + 12x = 0x
(2y × 4) + -21y = 8y - 21y = -13y
(7 × 4) + 28 = 28 + 24 = 52
=========================
I'll try to explain my process a little this time.
From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.
Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.
Please take a look at the picture.
Answers
Answer:
B, and A
Step-by-step explanation:
big brain time
What is sin 60°?
WA :)
an
2
90
30
5
A. I
оо
B.
-IS
o
C. 1
D.
O
E. 5
o
OF
PREVIOUS
Answers
Answer:
F
Step-by-step explanation:
If you look at that triangle and do trigonometry with sin, you would have to do opposite/hypotenuse. This would be (square root of 3)/2
show that √20 = 2√5
Answers
hence , 2√5 = √20
(2, 7); m = -3
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)
Answers
Answer:
Step-by-step explanation:
y - 7 = -3(x - 2)
y - 7 = -3x + 6
y = -3x + 13
Which of the following statements are correct?
Please help
Answers
Answer:
True A. angles one and five are corresponding angles.
True B. angles three and six are alternate interior angles.
False C. angles two and seven are alternate interior angles.
Angles two and seven are alternate exterior angles.
False D. angles five and eight are alternate exterior angles.
Angles five and Eight are verticle angles.
False E. angles two and four are same-sided consecutive angles.
Angles two and four are supplementary angles
True F. angles four and six are same side consecutive angles.
True G. angles one and eight are alternate exterior angles.
Find the value of x in each case.
Answers
Answer:
Step-by-step explanation:
To find x
Â= 180⁰-8x (angle on a straight line)
B= 180- 9x (angle on a straight line)
:. G + Â + B = 180⁰ ( sum of angles in a triangle)
5x + 180⁰ - 8x + 180⁰ - 9x = 180⁰
5x -8x - 9x + 180⁰ +180⁰ = 180⁰
-12x + 360⁰ = 180⁰
360⁰ - 180⁰ = 12x
180⁰ = 12x ( divide both sides by 12)
x = 15⁰
Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...
(20×19×18)/(3×2×1) = 1,140
There are easily enough different combinations of 3 students to have a different combination each day.
_____
Additional comment
The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...
nCk = n!/(k!(n-k)!)
x – 1= 4x + x - 8+ 3x
Answers
Answer:
1
Step-by-step explanation:
Add one on both sides, combine like terms and solve.
Find the number of integers between 1 and 1000 that are divisible by 12 or 15, but not by both 12 and 15.
Answers
Count the multiples of 12:
⌊1000/12⌋ = 83
(where ⌊x⌋ denotes the "floor" of x, or the largest integer that is less than or equal to x)
These are the integers
{12, 24, 36, 48, …, 996}
Count the multiples of 15:
⌊1000/15⌋ = 66
These are
{15, 30, 45, 60, …, 990}
Count the multiples of both 12 and 15; these are multiples of LCM(12, 15) = 60:
⌊1000/60⌋ = 16
These are
{60, 120, 180, 240, …, 960}
Now use the inclusion/exclusion principle to count the multiples of either 12 or 15, but not both:
83 + 66 - 2•16 = 117
Among the multiples of 12 and the multiples of 15, we count the numbers that are multiples of both 12 and 15. By subtracting the number of multiples of both (16), we get the count of integers that are either divisible by 12 or 15. We subract 16 again to remove those that are divisible by both 12 and 15.
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Answers
[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]
Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.Use co-factor expansion along any row or column of your choice.This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc
I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :
∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]
Find the slope of the line that passes through:
(6,7) and (4,2)
Answers
Answer:
5/2
Step-by-step explanation:
Slope = Change in y/Change in x
Slope = 2 - 7/4 - 6
Slope = -5/-2
Slope = 5/2
-Chetan K
I need to know the answer
Answers
Answer:
2 x 6 = 12
6 x 2 = 12
12 ÷ 6 = 2
12 ÷ 2 = 6
Step-by-step explanation:
Simplify the following expression
3x + 2(x +6) -4 -2x
A. 3x + 2
B. 7x + 8
C. 3x + 8
D.7x + 10
Answers
Answer:
C
Step-by-step explanation:
3x+2(x+6)-4-2x.
First, we do the parenthesis.
This gives us: 3x+2x+12-4-2x.
Then, we reorder so like terms are together.
This gives us: 3x+2x-2x+12-4.
Then, we combine like terms.
This gives us: 3x+8, which is C.
Given the system of equations presented here:
4x + y = 4
2x + 6y = 24
Which action creates an equivalent system that will eliminate one variable when they are combined?
Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.
Answers
Answer:
yep its D
Step-by-step explanation:
Answer:
D Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Answer:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
y = 4
1. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round
Answers
Answer:
c.
Step-by-step explanation:
Plug in -2 for x ....
f(x) = -2^3 - 7(-2)^2 + 3
= -8 - 28 + 3
= -36 + 3
= -33
Plug in 3/4 for x ....
f(x) = 3/4^3 - 7(3/4)^2 + 3
= 27/64 - 63/16 + 3
The put in decimals ....
27/64 = .422
63/16 = 3.938
Put the decimals back into the equation ....
= .422 - 3.938 + 3
= -3.516 + 3
= -.516
1. The method of substitution is likely the best method for which system?
−8x−2y=18x−2y=5
2x+y=103x+2y=5
5x−2y=32x+2y=1
−3x+2y=93x−5y=4
2. Solve the system of equations using the substitution method.
5x−4y=−15x−3y=−3
(3, 0)
(0, -4)
(-3, 0)
(0, -3)
Answers
Answer:
2.) x=−3 and y=0
Step-by-step explanation:
im still tryna figure out answer to number 1. sorry
1) The temperature in Chicago is 42°F and the temperature in
Dayton is 19° cooler. What is the temperature in Dayton?
A. 25°F B. 61°F C. 23°F D. 58°F
Answers
URGENT, WILL GIVE BRAINLIEST!!
In △ABC, A=27∘, a=27 and c=24. Which of these statements best describes angle C?
C must be acute.
C must be obtuse.
C can be either acute or obtuse.
△ABC cannot be constructed.
Answers
Answer:
C must be acute, and ABC cannot be constructed
Step-by-step explanation:
24 degrees is under 90 degrees making angle c an acute angle.
ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.
Have a great day friend! :D
Answer:
C must be acute.
Step-by-step explanation:
The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.
Find the equation of the line.
Answers
Answer:
Step-by-step explanation:
(-4,-5) and (6,4)
Slope: (4 - - 5) / ( 6 - - 4) = 9/10
y-intercept= - 5 - (9/10)(-4)
= - 5 + 36/10 = -7/5
y = 9/10x - 7/5
The equation of the line is x + 10y -19 = 0.
We are given that;
The points of line segment= (6,4) and (-4,5)
Now,
To find the equation of a line given two points, we can use the two-point form formula:
y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1)
where (x 1, y 1) and (x 2, y 2) are the two given points and (x, y) is any point on the line.
We have:
(x 1, y 1) = (6,4)
(x 2, y 2) = (-4,5)
Substituting these values into the formula, we get:
y − 4 = 5 − 4 -4 − 6 ( x − 6)
Simplifying and rearranging, we get:
y = -1/10 x + 19/10
This is the equation of the line in slope-intercept form. We can also write it in standard form by multiplying both sides by 10 and moving all terms to one side:
x + 10y -19 = 0
Therefore, by equation the answer will be x + 10y -19 = 0.
Learn more about equation;
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