Answer:
70.5°
Step-by-step explanation:
To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine
= cos θ = Adjacent/Hypotenuse
Where
Adjacent = Distance of the base from the house = 10ft
Hypotenuse = Length of the ladder = 30 ft
cos θ = 10/30
cos θ = 1/3
θ = arc cos 1/3
θ = 70.528779366
Approximately = 70.5°
Therefore, the ladder's angle of elevation is 70.5°
Use the given information to find the exact value of each of the following.
a. sin 2theta =
b. cos 2theta =
c. tan 2theta =
cot theta = 11, theta lies in quadrant III
a. sin 2theta =
Answer:
Step-by-step explanation:
cot θ=11
tan θ=1/11
[tex]\sin ~2\theta=\frac{2 \tan ~\theta}{1+\tan^2 \theta} =\frac{2*\frac{1}{11} }{1+(\frac{1}{11} )^2}=\frac{22 }{122} \\\\cos~2 \theta=\frac{1-tan^2 \theta}{1+tan^2\theta} =\frac{1-(\frac{1}{11})^2 }{1+(\frac{1}{11} )^2} =\frac{120}{122} =\frac{60}{61} \\tan 2 \theta=\frac{2 tan\theta}{1-tan^2 \theta} =\frac{2*(\frac{1}{11 } )}{1-(\frac{1}{11} )^2} =\frac{2*11}{120} =\frac{11}{60}[/tex]
Genie worst five hours on Tuesday three hours on Wednesday 4.5 hours on Thursday if H represents her hourly pay rate which expression below shows the amount she earned
Answer:
12.5H
Step-by-step explanation:
Number of hours worked per day:
Tuesday = 3 hours
Wednesday =5 hours
Thursday = 4.5 hours
H = hourly pay rate
Total amount earned = 3 hours × H + 5 hours × H + 4.5 hours × H
= 3H + 5H + 4.5H
= 12.5H
The expression which shows the total amount she earned = 12.5H
What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.
Step-by-step explanation:
The formula for the circumference of a circle is 2*pi*radius
Circumference = 2(3.14)(2.1)
= 13.188cm
Adaline has 24 stuffed animals. Of those, six are my mythical creatures. What percentage of Adaline's stuffed animals are mythical creatures?
Answer:
6% are Adaline's mythical creatures
Step-by-step explanation:
Its you the number of mythical creatures Adaline's has, Hope this works!!
The sum of three consecutive odd integers is –87. What are the integers?
A.
–31, –33, –35
B.
–30, –29, –28
C.
–31, –30, –29
D.
–31, –29, –27
How do I solve this using long division?
Answer:
x + 5
Explanation:
x^2 + 3x − 10 /x−2
= x^2 + 3x − 10 /x − 2
= (x−2)(x+5) /x−2
= x + 5
She writes the expression (0.2) (14). Which change in Mikel's expression will lead her to the correct answer? The 14 in the expression could be changed to 28. The 0.2 in the expression could be changed to 0.4. The 14 in the expression could be changed to 70. The 0.2 in the expression could be changed to 2.
Complete question :
Mikel creates the table below to help her determine 40% of 70. She writes the expression Which change in Mikel’s expression will lead her to the correct answer?
Corresponding chart for the problem is attached below.
Answer:
The 0.2 in the expression could be changed to 2.
Step-by-step explanation:
40% of 70
Directly working this out, we obtain :
0.4 * 70 = 28
From the table :
To obtain same from the columns, 0.2 is adjusted to 2.
Hence, 2 * 14 = 28
15 In rectangle PRST, ST and RT are extended as shown in the diagram below. The measure
of ZPTR is x° and the measure of ZRTS is (2x – 57).
P
R
X
U
(2x - 57)
V
Find the measure of ZUTV.
Find the measure of ZSTV.
Answer:
Z PTS = 90°
or, Z PTS = Z PTR + Z PTS
or, 90° = x° + ( 2x - 57 )°
or, 3x° = 90° + 57°
or, 3x° = 147°
or x° = 49°
ans: Z PTR = Z UTV = 49°
Z STU = 180°
or, Z UTV + Z STV = 180°
or, 49° + Z STV = 180 °
or, Z STV = 180° - 49°
= 131°
ans : Z STV = 131°
Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.
Press A can make 100 forms an hour. The table below shows the productivity of press B. How much faster is press B than press A?
Answer:
3.3
Step-by-step explanation:
I think so I don't know
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Hey there!
Here is a graph of the points:
A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.
A line of best fit is a line that goes evenly through the points, or as best as it could.
Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, "I can't believe I paid 125% of what you paid, Han!" Is what she said true? Explain. 14.3
Answer:
Step-by-step explanation:
e
HELP ASAP I’ll GIVE BRAINLIEST :))))
Which of the following does -
Answer:
Step-by-step explanation:
A
Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviation of £975. A random sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from self-employment in the clothing industry was significantly different?
Answer:
Yes, There is significant difference.
Step-by-step explanation:
Null Hypothesis , H0 : Mean income = 15000
Alternate Hypothesis , H1 : Mean income ≠ 15000
t = (x - u) / ( s / √n)
x = sample mean = 14500 here, u = population mean = 15000 here , s = standard deviation = 975 here , n = sample size
t = (14500 - 15000) / (975 / √169)
-500 / 75 = - 6.66
As calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠ 15000'
Find the side of square , if it's perimeter is 18cm .also find its area
Answer:
a side of a square with a 18cm ´perimeter would be 4.5cm
area would be 20.25
Step-by-step explanation:
You can calculate the area of a square by using both the length of one side and its perimeter. Divide the perimeter length by 4 to get the measurement for each side of the square.
A watch loses 15 seconds every hour. How many minutes will the watch lose in a day?
Answer:
360 seconds
Step-by-step explanation:
15 * 24 =360
Answer:
minutes lost per day 360/60=6
hope that helps
Sorry if its wrong
what is the slope intercept form of the line ?
Answer:
D
Step-by-step explanation:
Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.
Answer:x+2=y
Step-by-step explanation:
It takes Serina .5h to walk to school. Her route is 15km long. What is
her average speed?
Answer: 3km/h
Step-by-step explanation:
15km per 5h, which is 3km per 1h. This is pretty easy. I don't know what you want for her average speed like in unit (e.g 1 hour). If you are asking for the hour unit it is 3km/h
Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function? x ≥ 0; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 0; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot
Answer:
D x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
Step-by-step explanation:
Apply this method when doing problems similar to this one.
9514 1404 393
Answer:
(b) x ≥ 1; f⁻¹(x) = 1+√(x+1)
Step-by-step explanation:
We can find the inverse function by solving for y:
x = f(y)
x = y² -2y
x +1 = y² -2y +1
x +1 = (y -1)²
√(x +1) = y -1
1 +√(x +1) = y
So, the inverse function is ...
[tex]f^{-1}(x)=1+\sqrt{x+1}[/tex]
For this, the root will be non-negative, so the minimum value of this function is 1. That is, the minimum value of x for which the original function has this as an inverse is 1.
The domain restriction is x ≥ 1.
The inverse function is f⁻¹(x) = 1+√(x+1)
Which of the following explains why space objects are massive in size?
Icy and gaseous material was pushed out by the sun's heat.
Hydrogen atoms fused to form helium due to high pressure.
Large objects clumped together due to gravity to form larger objects.
Large objects were broken apart due to gravity to form fine stellar dust.
Answer: C) Large objects clumped together due to gravity to form larger objects.
Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.
Answer:
Large objects clumped together due to gravity to form larger objects.
Explanation:
All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.
Mindy can drive a total of 375 miles on one full tank of gas, witch is 25 gallons. based on this information, what is the constant of proportionality
A 10
B. 15
C.25
D.375
Answer:
B. 15
Step-by-step explanation:
Someone please explain
Answer:
D) 6
Step-by-step explanation:
set Q has 16 values which are all even values from 4 to 36
set Z has 11 values that are multiples of 3 from 4 to 36 (6,9,12,15,etc.) however, we have to eliminate the odd ones, leaving the following six:
6, 12, 18, 24, 30, 36
Answer:
D. 6
Step-by-step explanation:
Key skills needed: Set Similarity
1) The easiest way to teach this is by writing out each set, but I will show it to you in 2 ways.
2) The first way is by writing everything out.
Set Q = 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36
Set Z = 3,6,9,12,15,18,21,24,27,30,33,36
(I only wrote out Set Z to 36 since Set Q ends at 36. Anything greater than 36 won't even be there in Set Q, so no point in writing more.
The numbers that are common in both sets are --> 6,12,18,24,30,36Therefore D would be your answer.3) The next way is with using a simple pattern.
Set Q contains all even numbers from 4 to 36
Set Z contains all multiples of 3 (no limits)
Therefore, the numbers that are in both sets would be:
The even multiples of 3 that are bigger than 4 and less than 36.
4) Those even multiples of 3 would be ---> 6,12,18,24,30,36
That means there are 6 numbers in common. That means D is your answer.Both show that D is the answer, so I would say D as the answer very confidently.
Hope you understood and have a nice day!! :D
7(2x+3)=3(4x+6)+2x+3
Answer:
[tex]7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0[/tex]
I need step by step please w + 4 = (-6)
Answer:
w = -10
Step-by-step explanation:
[tex]w+4=(-6)\\\\w+4=-6\\\\w+4-4=-6-4\\\\\boxed{w=-10}[/tex]
Hope this helps.
7 more than a number w is -2
Answer:
w+7=-2
Step-by-step explanation:
Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar
A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.
B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.
C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6
Answer:
Step-by-step explanation:
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ,
(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)
Answer:
the answer is D
hope this helpful
Mina created a miniature rocket launcher, and the graph shows the height of one of her
rockets relative to the ground over time, where the rocket's height (y) is measured in meters
and time (x) is measured in seconds. *
(2 points)
The Vertex represents
the maximum height of the rocket
the minimum height of the rocket
the moment before the rocket is launched
Answer:
Work individually or in teams of two to construct and launch paper rockets using a teacher-built PVC-pipe launcher.
Following the flight of their rocket, calculate the altitude their rocket achieved.
Based on the flight performance of their rockets, analyze their rocket designs, modify or rebuild them, launch again, and calculate the altitude achieved to determine if their changes affected the performance of the rocket.
Conclude the activity by writing a post-flight mission report.
Materials
A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.
a) calculate the perimeter of the plot, to the nearest meter.
b) calculate the area of the plot, to the nearest square meter.
Answer:
Perimeter = 271 meters
Step-by-step explanation:
third angle measure would have to be 180 - 122 = 58 degrees
you can use the law of sines:
sin 58° = sin 74°
90 b
.85 = .96
90 b
cross-multiply: .85b = 86.4
b = 102
now do again to find third side:
sin 58° = sin 48°
90 c
.85 = .74
90 c
.85c = 67
c = 79
now you know all 3 sides so add them to get perimeter (79+102+90) = 271
math please help me please help me please help me
Answer:
Step-by-step explanation:
Step One: Cancel 3x and 6x.
6x/3x = 2
Step Two: Factor x^2 + 5x + 6
(x+3)(x + 2)
Step Three: Factor x^2 + 9x + 14
(x + 2)(x +7)
Answer
2*(x + 3) / (x + 7) The (x + 2 )s cancel out
Does this table represent a proportional relationship?
A) Yes
B) No