By using trigonometric relations, we see that the horizontal distance is 196.6.
How to find the distance between the towers?
Remember the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus).
In this case, the adjacent cathetus is the horizontal distance between the towers, the opposite cathetus is 40, and the angle is 11.5°.
Then we can write:
tan(11.5°) = 40/x
Solving for x:
x = 40/tan(11.5°)
This is the equation that you got, and it gives:
x = 40/tan(11.5°) = 196.6
Why you don't get this?
The problem may be that your calculator is in radians instead of degrees. It should say "DEG" instead of "RAD" if you want to evaluate trigonometric functions in degrees.
If you want to learn more about right triangles:
https://brainly.com/question/2217700
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Miriam has 2 yellow tea cups and 5 brown teacups. Which ratio compares the number of brown tea cups to the total number of teacups?
A. 5:2
B. 2 to 7
C. 5 to 7
D. 2/5
F. 5:7
D. 5/7
The answer is 5:2 ration, it's already fully simplified
What is the area of a circle with a Radius of 4 and a Diameter of 2?
(Its on Khan)
Answer:4^2≈50.26548
Step-by-step explanation:
πr2.
Where r is the radius and π≈3.14 , the ratio of a circle's circumference to its diameter.
Plugging in 4 from the radius, we get.
42π
⇒16π inches.
This is our exact answer. Alternatively, we can plug in 3.14 for π to get.
50.26 inches.
Help please!
Change the function f(x) = 2x² + 8x +5 into vertex form.
f(x) == 2(x+4)² +5
f(x) == 2(x+2)² +5
f(x) == 2(x+2)² −3
f(x) == 2(x+4)² - 27
Answer:
C) f(x) = 2(x+2)² - 3
Explanation:
Given function:
f(x) = 2x² + 8x +5
Vertex form: y = a(x - h)² + kFor this function:
⇒ y = 2x² + 8x + 5
⇒ y = 2(x² + 4x) + 5
⇒ y = 2(x + 2)² + 5 - 2(2)²
⇒ y = 2(x + 2)² - 3
[tex]\sf Solve\; it \;with \;steps:-[/tex]
[tex]\bf 5\left(2x+1\right)=6x+13[/tex]
~ Enjoy the things!
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
→ Answer :-[tex]\sf{x \: = \: 2}[/tex]
→ Explanation :-[tex]\sf{Expand \: 5(2x \: + \: 1): \: 10x \: + \: 5}[/tex]
[tex]\sf{10x \: + \: 5 \: = \: 6x \: + \: 13}[/tex]
[tex]\sf{Subtract \: 5 \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: + \: 5 \: - \: 5 \: = \: 6x \: + \: 13 \: - \: 5}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{10x \: = \: 6x \: + \: 8}[/tex]
[tex]\sf{Subtract \: 6x \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: - \: 6x \: = \: 6x \: + \: 8 \: - \: 6x}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{4x \: = \: 8}[/tex]
[tex]\sf{Divide \: both \: sides \: by \: 4:}[/tex]
[tex]\sf{\frac{4x}{4} = \frac{8}{4}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{x \: = \: 2}[/tex]
Hope It Helps! ~
~Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
Answer:
x = 2
Step-by-step explanation:
[tex]\sf 5(2x+1)=6x+13[/tex]
Let's apply the distributive property to multiply 5 by 2x+1.
[tex]\sf 10x+5=6x+13[/tex]
Subtract 6x from both sides.
[tex]\sf 10x+5-6x=13[/tex]
Combine like terms.
[tex]\sf 4x+5=13[/tex]
Subtract 5 from both sides.
[tex]\sf 4x=13-5[/tex]
[tex]\sf 4x=8[/tex]
Divide both sides by 4.
[tex]\sf x =\cfrac{8}{4} [/tex]
[tex]\sf x = 2[/tex]
Find the length of the hypotenuse
3(2x + 8) = 0 what is x
Answer: Heyaa!
The Answer, x= −4
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Hopefully this helps you~
- Matthew :)
have an amazing day <3
Answer:
X = - 4
Step-by-step explanation:
3(2x+8) =0
6x + 24 = 0
6x = 0 - 24
6x = - 24
X = - 24/6
X = - 4
Hope this helpssssss
I hate math with a burning passion
========================================================
Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
A) False. The three dots at the end of the given list of numbers tells us the pattern goes on forever. This sequence has infinitely many terms. B) True. The first four terms are -3, 5, -7, 9, showing that the fourth term is indeed 9.C) False. The fifth term is -11, and not 2. If it said f(2) = 5, then the statement would be true because the 2nd term is 5.D) True. The domain is {1, 2, 3, 4, ...} which are indexes for the term numbers. For example, the input n = 4 is part of the domain to get us to f(4) = 9. In other words, the input 4 leads to the output 9.E) True. The notation (4,9) is another way of saying "the 4th term is 9", which is equivalent to the notation f(4) = 9.A square has an area of square inch what is [tex]18x^{2}[/tex] the length of one of its sides
Answer:
18x
Step-by-step explanation:
18x times 18x
so the side is 18x because it was squared
chord properties of a circles
Answer:
In a circle, when a line passes through the center of the circle and is perpendicular to a chord, the line will bisect the chord. In other words, the perpendicular bisector of a chord always passes through the center of the circle.
Step-by-step explanation:
Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase and wrote the inequality 5.50 b + 7.5 less-than 65 to represent the situation. Which statements describe the reasoning used to determine if Kelsey’s inequality is correct? Select two options. The inequality symbol is correct because she must spend less than $65. The inequality symbol is incorrect because she can spend up to and including $65. The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price. The expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price. The inequality symbol is correct because she cannot spend more than $65. PLS NEED ASAP!!
Answer: Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase
Step-by-step explanation:
Answer:
its B and C
Step-by-step explanation:
One line passes through the points \blueD{(-6,0)}(−6,0)start color #11accd, left parenthesis, minus, 6, comma, 0, right parenthesis, end color #11accd and \blueD{(-4,6)}(−4,6)start color #11accd, left parenthesis, minus, 4, comma, 6, right parenthesis, end color #11accd. Another line passes through points \green{(5,-2)}(5,−2)start color #28ae7b, left parenthesis, 5, comma, minus, 2, right parenthesis, end color #28ae7b and \green{(8,7)}(8,7)start color #28ae7b, left parenthesis, 8, comma, 7, right parenthesis, end color #28ae7b.
Are the lines parallel, perpendicular, or neither? its khan academy
Answer:
paralell
Step-by-step explanation:
50 points for whoever could someone please assist me with this question
The first step to the proof is ∠QRS + ∠STQ = 180°
What is a cyclic Quadrilateral?A cyclic quadrilateral is a quadrilateral circumscribed by a circle in which all the vertices of the quadrilateral touch the circle.
Analysis:
Join line Qx and Sx together.
2∠QRS = reflex ∠QxS ( twice angle at the circumference is that at center)
2∠STQ = ∠QxS( twice angle at circumference is that at the center)
Also ∠QXS + reflex ∠QXS = 360(angle at a point)
2∠QRS + 2∠STQ = 360
2(∠QRS + ∠STQ) = 360
∠QRS + ∠STQ = 180°
In conclusion, ∠QRS + ∠STQ = 180°
Learn more about cyclic quadrilateral: brainly.com/question/24142962
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a number cube, with sides labeled 1-6, is rolled. Which is the theoretical probability of rolling a number less than 6, in simplest form? SHOW YOUR WORK
Step-by-step explanation:
There is 6 possibilities, 1 in 6 is cancelled, leaving 5/6.
Please help asap! I don’t understand it
Step-by-step explanation:
From given graph
f(-3)= (-3)
f(1)=1
Answer:
f(-3) = -3
f(1) = 1
Step-by-step explanation:
f(x) means the "function of x".
Therefore, the number in the bracket after the letter f is the value of x.
f(-3) means find the value of the function (y-value) when x = -3
f(1) means find the value of the function (y-value) when x = 1
To find f(-3), find x = -3 on the x-axis.
Now trace vertically until you meet the line. Read the value of y at this point.
⇒ f(-3) = -3
To find f(1), find x = 1 on the x-axis.
Now trace vertically until you meet the line. Read the value of y at this point.
⇒ f(1) = 1
please help my last semester is ending in 4 days
(edmentum + 70 points)
Part 1
f(x) + g(x)
3x+2 + 4x
(3x+4x) + 2
7x+2
Therefore, f(x)+g(x) = 7x+2
================================================
Part 2
f(x) = 3x+2
f( g(x) ) = 3( g(x) ) + 2 ... replace every x with g(x)
f( g(x) ) = 3(4x) + 2 .... plug in g(x) = 4x
f( g(x) ) = 12x + 2
================================================
Part 3
Let's say x is the number of minutes.
Furthermore, let's say f(x) and g(x) are phone plan costs. Computing f(x)+g(x) will give the total cost of both plans combined. This is one example where it's useful to add the functions.
---------
As for a second example, let's say g(x) = 4x represents the total cost to fill up your car when you use x gallons of gas. The 4 out front means gas is $4 per gallon.
When we compute f( g(x) ) = 3*g(x) + 2, we could have 3 different cars that use the same amount of gas (x). The +2 at the end could be something like we have to pay $2 for parking.
Overall, f( g(x) ) = 12x + 2 is the total cost of filling up 3 cars and paying for the extra $2 parking.
Notice the output of g(x) is fed directly as the input of f(x). Think of it like a chain reaction.
This is one example of many where function composition is useful.
PLEASE HELP!!! 60 POINTS!!!
Otis measured the heights of several sunflowers. He found
that their heights were 2, 3, 5, 7, and 8 feet.
Otis found that the mean was 5 feet and the range was 6
feet.
Which numbers describe the center and spread of this data set?
A. 2 feet describes the center, and 8 feet describes the 8 spread.
B. 8 feet describes the center, and 2 feet describes the spread.
C. 6 feet describes the center, and 5 feet describes the spread.
O D. 5 feet describes the center, and 6 feet describes the spread. 6
Answer:
D
Step-by-step explanation:
the mean will describe the center and the range will describe the spread, I know this because the mean is in the middle, and the only other thing for the range would be the spread.
Write the following phrase as an algebraic expression. Use n for "a number."
three increased by the quotient of a number and two
a.
3+ n
2
b.
22
3 + -
2
C.
3(2 + 2)
d.
3 + 222
Please select the best answer from the choices provided
A
B
C
Answer:
3+(n/2) i think that is a? i cant rlly tell
Step-by-step explanation:
Nurse jackson examines immunization records for this past winter at the
school where she works.
got flu didn't get flu total
vaccinated
25
150
175
not vaccinated 60
65
125
total
85
215
300
how many students were not vaccinated and did not get the flu?
a. 65
b. 60
c. 150
d. 125
Answer:
a
Step-by-step explanation:
Answer:
A. 65
Step-by-step explanation:
Have a blessed day :)
Thirty-five students passed the test. If that’s 70% of the class how many students is in the class?
Answer:
50
Step-by-step explanation:
fr the question,
35 students----------------70%
x students-------------------100%
cross multiplying
x ×70 = 35×100
dividing bothsides by 70
x = 3500/70
x=50 students
therefore,
there are 50 students in the class
please help me........asap
Answer:
If I had to guess I would choose "a group of employees determined by a random number generator"
The ratio of width to length for an American flag is 10 to 19. How wide is a flag that is 66 cm long
Answer:
35cm
Step-by-step explanation:
The ratio of width:length is 10/19. Since the given length is 66cm long, we multiply by the ratio to get 66 x 10/19 = 34.7 = 35cm
pleasee helpp asapp!!!
Find the area of this circle. Use
3.14 for i.
72 in.
..
in.2
The area of the circle is about
(Round to the nearest hundredth as needed.)
Answer:
4,069.44 in squared
Step-by-step explanation:
pir^2
72/2 = 36
36^2 = 1,296pi
1,296*3.14 = 4,069.44
Please help will give brainliest!
Area of a Polygon
In this unit, you learned about finding the area of triangles and rectangles using coordinates. But there are many more shapes than just triangles and rectangles, and these shapes often can be relatively complex. You can still find properties of such polygons by dividing them into an arrangement of simpler shapes—polygons that you’re familiar with.
When a two-dimensional figure is composed of smaller figures, its area is equal to the sum of the areas of the smaller figures. When finding the area of a polygon, it is helpful to know that any polygon can be partitioned into a series of triangles.
You will use GeoGebra to partition a polygon into a set of triangles. Go to partitioning a polygon, and complete each step below.
Part A
Draw line segments to partition the given polygons into triangles. There is more than one correct answer. Take a screenshot of your construction, save it, and insert the image in the space below.
Step-by-step explanation:
the area of a polygon is defined as the area that is enclosed by the boundary of the polygon / area =n*a*ri/2
(1+5²) –16 (1/2)³
Please help please and Thank you
Answer:
the answer simplified is 24
Step-by-step explanation:
The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. Lunch Type of Lunch Ratio to the Total Turkey sandwich 1 3 1 Vegetarian sandwich 6 4. Chicken sandwich 15 Salad 7 30 A total of 840 people ate lunch. Which statement is true? A Half as many people ate a turkey sandwich as ate a vegetarian sandwich. B One-fourth as many people ate a vegetarian sandwich as ate a salad. C There were 56 more people who ate a turkey sandwich than ate a chicken sandwich. с D There were 28 more people who ate a salad than ate a chicken sandwich.
Using proportions, it is found that the correct statement is given by:
C There were 56 more people who ate a turkey sandwich than ate a chicken sandwich.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, one third out of 840 people ate Turkey Sandwich, hence the number is given by:
nT = 840/3 = 280.
One sixth ate Vegetarian Sandwich, hence the number is given by:
nV = 840/6 = 140.
4/15 ate Chicken Sandwich, hence the number is given by:
nC = 4 x 840/15 = 224.
7/30 ate Salad, hence the number is given by:
nS = 7 x 840/30 = 196.
Thus, option C is correct.
More can be learned about proportions at https://brainly.com/question/24372153
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Drag the tiles to the correct boxes to complete the pairs. simplify the mathematical expressions to determine the product or quotient in scientific notation. round so the first factor goes to the tenths place. arrowright arrowright arrowright arrowright
The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x [tex]10^{3}[/tex]
2.1 x [tex]10^{-3}[/tex]
3.7
What are the simplified mathematical expressions ?Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x [tex]10^{7}[/tex]) . (9.1 x [tex]10^{-8}[/tex])
= (8.6 x 9.1) x [tex]10^{7 - 8}[/tex]
= 78.26 x[tex]10^{-1}[/tex]
= 7.8 x 10
(6.9 x [tex]10^{5}[/tex]) . (4.8 x [tex]10^{-3}[/tex])
= 33.12 x [tex]10^{5 - 3}[/tex]
3.3 x [tex]10^{3}[/tex]
(3.7 x [tex]10^{2}[/tex]) . (4.6 x [tex]10^{-3}[/tex]) ÷ (1.4 x [tex]10^{-6}[/tex]) . (5.7 x [tex]10^{8}[/tex])
= 1.7 x 10 ÷ 8 x10²
0.21 x [tex]10^{-2}[/tex]
2.1 x [tex]10^{-3}[/tex]
(3.1 x [tex]10^{5}[/tex]) . (5.3 x [tex]10^{-9}[/tex]) ÷ (7.3 x [tex]10^{2}[/tex]) . (6.1 x [tex]10^{-7}[/tex]) = 3.7
To learn more about scientific notation, please check: https://brainly.com/question/25334755
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Solve but show all steps
x - 1/2=3
1/3y=50
Answer: x = 3 1/2, y = 150
Step-by-step explanation:
x-1/2 = 3
add 1/2 to both sides
x -1/2 (+1/2) = 3+1/2
x = 3 1/2
1/3y = 50
multiply by reciprical on both sides
3(1/3y) = 50(3)
y = 150
I'm supposed to find the volume of a cube but the only number I am given is 6. Do I multiply 6 three times?
A sector of a circle has a central angle of 150 ∘ . Find the area of the sector if the radius of the circle is 6 cm.
Answer:
[tex]A = 15\pi[/tex]
Step-by-step explanation:
1. 150 degrees is 5/12 of a circle
2. Find area but divide by 5/12:
[tex]A = \frac{5}{12} \pi (6)^2[/tex]
3. Solve
[tex]A = \frac{5}{12} \pi (36)[/tex]
4. Simplify
[tex]A = 15\pi[/tex]