Answers
Answer:
x = 80.4
Step-by-step explanation:
Step 1: Realize you have to use tangent to solve
[tex]tan()=\frac{o}{a}[/tex]
Step 2: Use tangent to solve
o = x
a = 300
[tex]tan()=\frac{o}{a} \\tan(15)=\frac{x}{300}\\x = 300tan(15)\\x = 80.4[/tex]
Therefore x is equal to 80.4 rounded to the nearest tenth
Answer:
x = 80.4Step-by-step explanation:
[tex]Opposite = x\\Adjacent = 300\\\alpha =15\\Using \: SOHCAHTOA\\\\Tan \alpha = \frac{Opposite}{Adjacent} \\\\Tan 15 =\frac{x}{300} \\\\2-\sqrt{3} = \frac{x}{300}\\\\ 2-\sqrt{3} \times 300=x\\\\80.384=x\\\\x = 80.4[/tex]
Related Questions
Which step is the same when constructing an inscribed square and an inscribed equilateral triangle?
Answers
Answer: B.Construct a circle of any arbitrary radius.
Step-by-step explanation:
had to complete the question first.
A.Connect every arc along the circle.
B.Construct a circle of any arbitrary radius.
C.Set the compass width to greater than half the diameter of the circle.
D. Set the compass width to the radius of the circle.
Explanation:
when constructing an inscribed square and an inscribed equilateral triangle, the most important step and which turns out to be same for both procedures is the constructio of of a circle of an arbitrary radius. Because it’s is within this circle both the triangle and square would be drawn. Just their method of construction are different.
Could someone help me with these 2 it’s for biology class but it’s a math related question.
Answers
ASAPPPPP -2.0 * (-3.6)
Answers
Answer:
the answer is 7.2
Step-by-step explanation:
Answer:
7.2 or [tex]\frac{36}{5}[/tex]
Step-by-step explanation:
-2.0 * (-3.6) = [tex]\frac{36}{5}[/tex]
[tex]\frac{36}{5}[/tex] = 7.2
it becomes positive becomes two negative numbers are involved
Eileen is trying to test if the function f(x) = x2 + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)2 + 2(–x) + 5 = x2 – 2x + 5 What conclusion can she reach? f(x) is even f(x) is odd f(x) is neither f(x) is both even and odd
Answers
Answer:
f(x) is neither
Step-by-step explanation:
The given function is neither even nor odd. The correct option is B.
What are odd and even functions?When the value of the function is negative after putting the value of the variable negative in the function then the function is odd and if the value of the function is positive after putting the negative value of the variable then the function is even.
Given that Eileen is trying to test if the function f(x) = x² + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)² + 2(–x) + 5 = x² – 2x + 5.
The function will be solved as below:-
f(x) = x² + 2x + 5
f(– x) = (–x)² + 2(–x) + 5
f(-x) = x² – 2x + 5.
Here the resultant function is not giving any clear information the given function is neither even nor odd. The correct option is B.
To know more about odd and even functions follow
https://brainly.com/question/14192001
#SPJ6
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements.
f(4) is
f(x) = 4 when x is
و بہادن دا
8
2
3
11
3
4
1
2
Answers
Answer:
f(4) is 1/2
f(x)= 4 when x is 8
Josh weighed cantaloupes he picked from his garden. This line plot shows the cantaloupe weights. What is the total weight of all the cantaloupes that weigh no more than 2 pounds? 712 lb 10 lb 15 lb 20 lb
Answers
Answer:
Step-by-step explanation:
From the plot line you have (1x3) + (2x 1 1/4) + (3x 1 1/2) = 10
The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.
Calculation of the total weight:Since Josh weighed cantaloupes he picked from his garden.
So here the total weight should be like
[tex]= (1\times 3) + (2\times 1\ 1\div 4) + (3\times 1\ 1\div 2)[/tex]
= 10
hence, The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.
Learn more about weight here: https://brainly.com/question/18953210
Richard ran the route A-B-C-D-E-F-G-H-A. Which of the following paths taken by Richard appear to be perpsndicular to path BC?
Answers
Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.
Jesse estimates that it will cost $300,000 to send his newborn son to a private college in 18 years. He currently has $65,000 to deposit in an account. What simple interest rate would he need so that $65,000 grows into $300,000 in 18 years
Answers
Answer:
Simple interest rate (R) = 20% (Approx)
Step-by-step explanation:
Given:
Final amount (A) = $300,000
Number of year (T) = 18
Amount deposit (P) = $65,000
Find:
Simple interest rate
Computation:
interest = Final amount (A) - Amount deposit (P)
interest = $300,000 - $65,000
interest = $235,000
interest = [PRT] / 100
235000 = [(65,000)(R)(18)] / 100
Simple interest rate (R) = 20.085
Simple interest rate (R) = 20% (Approx)
if 2x - 10 is x+25 how do u find x
Answers
Answer:
x=35
Step-by-step explanation:
[tex]2x - 10 = x + 25 \\ ⟹ 2x - x = 25 + 10 \\ ⟹ x = 35[/tex]
X=35
Step-by-step explanation:
2x - 10 = x + 25
2x - x = 25 + 10
Hence, x = 35
A. Write an expression to represent the difference between the two points shown on the number line. B. Find the distance between the two points. [Hint: Remember that distance is always positive.]
Answers
Answer:
Step-by-step explanation:
A: The distance is the sum of |-1.6| and 0.3: |-1.6| + 0.3
B. This distance is 1.6 + 0.3 = 0.9
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135
Answers
Answer:
∠ Y = 45°, ∠ X = 135°
Step-by-step explanation:
Since the 2 angles are supplementary, then
X + Y = 180 ← substitute X = 3Y
3Y + Y = 180, that is
4Y = 180 ( divide both sides by 4 )
Y = 45
and
X + Y = 180, so
X + 45 = 180 ( subtract 45 from both sides )
X = 135
Thus
∠ X = 135° and ∠ Y = 45°
Answer:
the answer is 135
Step-by-step explanation:
Which value goes in the empty cell?
Answers
Answer:
[See Below]
Step-by-step explanation:
If you replace the x with -1 and evaluate the function you get -5.
Does anyone know this
Answers
Answer:
A
Step-by-step explanation:
To figure out whether a graph is a function, you need to use the line test. The line test is where you pass a vertical line over the graph. If the vertical line crosses the graph more than once, the graph is not a function. You can use your pencil as a vertical line.
Graph 1 is not a function because the vertical line will cross the graph twice.
Graph 2 is a function because the vertical does not cross the graph twice.
Graph 3 is not a function because the vertical line will cross the graph twice.
A liter of water contains about (first image) molecules. A certain river discharges about (second image) L of water every second. About how many molecules does the river discharge every minute? Write your answer in scientific notation.
Answers
================================================
Work Shown:
1 second = 2.3 * 10^7 liters of water
60*1 second = 60*2.3* 10^7 liters of water
60 seconds = 138 * 10^7 liters of water
1 minute = (1.38 * 10^2) * 10^7 liters of water
1 minute = 1.38 * (10^2*10^7) liters of water
1 minute = 1.38 * 10^(2+7) liters of water
1 minute = 1.38 * 10^9 liters of water
The river discharges 1.38 * 10^9 liters of water per minute.
--------------------------------
1 liter = 3.35 * 10^25 molecules
1.38 * 10^9*1 liter = 1.38 * 10^9*3.35 * 10^25 molecules
1.38 * 10^9 liters = (1.38*3.35) * (10^9*10^25) molecules
1.38 * 10^9 liters = 4.623 * 10^(9+25) molecules
1.38 * 10^9 liters = 4.623 * 10^34 molecules
1 minute = 4.623 * 10^34 molecules
-------------------------------
Every minute, about 4.623 * 10^34 molecules of water are discharged from the river.
Find the 135th term in the sequence of numbers below -4,9,22,35
Answers
Answer:
135th term=1738
Step-by-step explanation:
formula is an=a+(n-1)dso here a=-4
d=13
a135=-4+(134)13
=-4+1742
a135=1738
8 = 3а – 4
How do I solve this problem
Answers
Next you calculate -3a=-4-8 then
Next you will Divide both sides by -3
-3a=-12 then your answer would get a=4
Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds. In feet, what is the length of the other piece?
Answers
Answer: 4.5 pounds.
Step-by-step explanation:
Given : Weight of original pipe =45 pounds
Weight of first piece = 18 pounds
Then, Weight of other piece = 45- 18 = 27 pounds
Length of first piece = 3 feet
Let x be the length of other piece.
As length is directly proportional to weight.
Then, [tex]\dfrac{x}{27}=\dfrac{3}{18}[/tex]
[tex]\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5[/tex]
Hence, the he length of the other piece = 4.5 pounds.
2
)
The
population
of
a
town
was
568.
During
that
year
236
persons
migrated
to
it
.
What
is
the
present
population
of
the
Su
town?
Answers
Answer:
[tex]\huge \boxed{\mathrm{804}}[/tex]
Step-by-step explanation:
[tex]\sf The \ initial \ population \ of \ the \ town \ was \ 568.[/tex]
[tex]\sf 236 \ migrated \ to \ the \ town.[/tex]
[tex]568+236[/tex]
[tex]=804[/tex]
[tex]\sf The \ present \ population \ of \ the \ town \ is \ 804.[/tex]
Answer:
[tex]\huge\boxed{ 804}[/tex]
Step-by-step explanation:
Prior Population = 568
Added People = 236
Current Population = 568 + 236
=> 804
In a mixture of 60 litres, the ratio of milk to water is 2:1. If this ratio is to be 1:2,then find the quantity of water to be further added.
Answers
Answer:
Quantity of milk = 60 x 2/3 litres = 40 litres.
Quantity of water in it = (60- 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres.
Then, milk : water = 40 /20 + x
Now, 40 /20 + x = 1/2
20 + x = 80
x = 60.
Quantity of water to be added = 60 litres.
An overseas telephone company charges $4 for the first minute of talking and then $0.25 for each additional minute. If a woman spent $13.75 talking on the phone, how many minutes did she talk for?
Answers
Answer:
39 minutesStep-by-step explanation:
In this problem we can see that there is a constant/flat rate charge of $4 on every first minute
we can model the cost for calls as
[tex]y= 4+0.25x------1[/tex]
where x is the number of extra minutes spent
given that y = $13.75
We can simply substitute our given values into the equation 1 above and solve for x
[tex]13.75= 4+0.25x\\\\13.75-4= 0.25x\\\\9.75=0.25x[/tex]
Divide both sides by 0.25 to find x
[tex]x= 9.75/0.25\\\\x=39[/tex]
Hi... can anyone pls help
Answers
Answer: A globe shows all the countries with landmass and water bodies but a map shows only a specific country with its size shape and features .
Step-by-step explanation:
Anna's hair has grown 2/3 of an inch in the 6 weeks since her last haircut. How fast does her hair grow?
Answers
Answer:
1/9th of an inch
Step-by-step explanation:
2/3 times 6 = 2/18 = 1/9
Answer:
1/9
Step-by-step explanation:
[PLEASE ANSWER FAST] A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?
Answers
Answer:
525
Step-by-step explanation:
Since the submarine is 150 (you didn't specify the units) below sea level, we can express its position as -150. Therefore, 375 - (-150) = 375 + 150 = 525.
solve this: a triangle has an engle of 38. this is a scalene right triangle. one of the sides are 8 in length. what are the other angles?
Answers
Answer:
52°, 90°
Step-by-step explanation:
The two acute angles in a right triangle are complementary, because the third angle is 90°. For acute angles A and B, we must have ...
90° + A + B = 180°
A + B = 90° . . . . . subtract 90°; definition of complementary angles
B = 90° - A
For angle A = 38°, this tells us ...
B = 90° -38° = 52°
The other two angles in the triangle are 90° and 52°.
-4 + (-1) on a number line
Answers
Answer:
-5
Step-by-step explanation:
+-=-
-4-1=-5
Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags. What will Kermit think of Peggy's iced tea?
Answers
Answer:
c its right on khan
Step-by-step explanation:
A box contains 84 chocolates, of which 63 are dark chocolate. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box?
Answers
Answer:
21:84
Step-by-step explanation:
You subtract 63 from 84 and get 21. It then asks to compare it to the total number which it said was 84. It could be represented in a few ways:
21:84
21/84 (fraction)
Answer:
no.of milk chocolates:no. of total chocolate
1 : 4
Step-by-step explanation:
firstly we can take ratio as 21:84 Then, we can simplidy it dividing by 4 as following way,
21 : 84
4 4
then we can get 1 : 4 as the answer.
Round 543,982 to the nearest thousand.
Answers
Answer:
544,000
Step-by-step explanation:
Answer:
544,000
Step-by-step explanation:
you look at the thoundsands place which is the three, then you look at the digit to the right ( 5-10 round up, below 0-4 round down)
Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4m and 2.5m. Also find the perimeter of the square.
Answers
Answer:
side: 4 metres
perimeter: 16 metres
Step-by-step explanation:
Let's first find the area of this rectangle.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width. Here, the length is l = 6.4 and the width is w = 2.5. Plug these in:
A = lw
A = 6.4 * 2.5 = 16 metres squared
We want to find the side of a square with area 16. Suppose the side length is x. The area of a square is denoted by A = x * x = x², so set this equal to 16:
x² = 16
x = √16 = 4
Thus, the side length is 4 metres.
The perimeter of a square is denoted by P = 4s, where s is the side length.
Here the side length is 4 metres, as we found, so:
P = 4s = 4 * 4 = 16
Hence the perimeter is 16 metres.
The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU:UV:VWTU:UV:VW is equal to 2:5:5.2:5:5. If TW=24,TW=24, find UV.UV.
Answers
Answer:
[tex]UV = 10[/tex]
Step-by-step explanation:
Given
[tex]TU : UV : VW = 2 : 5 : 5[/tex]
[tex]TW = 24[/tex]
Required
Determine UV
From the given parameters, we have that:
Ratio of TU = 2
Ratio of UV = 5
Ratio of VW = 5
First, we have to add up the total ratio;
Total = Ratio of TU + Ratio of UV + Ratio of VW
[tex]Total = 2 + 5 + 5[/tex]
[tex]Total = 12[/tex]
Next is to calculate the length of UV; as follows;
[tex]UV = \frac{Ratio\ of\ UV}{Total\ Ratio} * TW[/tex]
Substitute 5 for Ratio of UV; 12 for Total Ratio and 24 for TW
[tex]UV = \frac{5}{12} * 24[/tex]
[tex]UV = \frac{5 * 24}{12}[/tex]
[tex]UV = \frac{120}{12}[/tex]
[tex]UV = 10[/tex]
Hence; length of UV is 10 units