9514 1404 393
Answer:
4.41
Step-by-step explanation:
The sides of interest in this right triangle are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(25°) = 4/AB
Multiplying by AB and dividing by cos(25°), we get ...
AB = 4/cos(25°)
AB ≈ 4.41 . . . . units
A company is making aid badges with personal ID codes on them for each employee. The ID code will consist of two letters followed by 2 digits. Using this scenario, how many possible ID codes are there?
Answer:
67, 600
Step-by-step explanation:
There are 26 alphabet and 10 digits then the number of the possible ID codes will be 67600.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
A company is making aid badges with personal ID codes on them for each employee.
The ID code will consist of two letters followed by 2 digits.
Then the number of ways ID codes are there will be
[tex]\rightarrow 26 \times 26\times 10\times 10\\\\\rightarrow 67600[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
A study of women’s weights found that a randomly selected sample of 234 women had a mean weight of 157.3 lb. Assuming that the population standard deviation is 15.6 lb., construct a 95% confidence interval estimate of the mean weight of all women.
Answer:
(155.301 ; 159.299)
Step-by-step explanation:
Xbar = 157.3
Sample size, n = 234
Population standard deviation, σ = 15.6
The confidence interval :
Xbar ± standard Error
Standard Error = Zcritical * σ/√n
Zcritical at 95% = 1.96
Standard Error = 1.96 * (15.6/√234) = 1.999
Lower boundary : 157.3 - 1.999 = 155.301
Upper boundary : 157.3 + 1.999 = 159.299
(155.301 ; 159.299)
Rationalize the denominator and simplify
Simplify the following radical expression square root of 20
Answer:
2 radical 5
Step-by-step explanation:
i am smart
Answer:
[tex]\sqrt{20} =2\sqrt{5}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt{20}[/tex]
Step 1: Factor out the biggest square number:
[tex]\sqrt{4}\sqrt{5}[/tex]
Step 2: Simplify:
[tex]2\sqrt{5}[/tex]
Therefore, [tex]\sqrt{20} =2\sqrt{5}[/tex]
-7 2/3 + (-5 1/2) + 8 3/4
in faction
Answer:
= -4.41666666667
Step-by-step explanation:
Answer:
[tex]-7\frac{2}{3} + -5\frac{1}{2} +8\frac{3}{4}\\\\\frac{-23}{3} -\frac{11}{2} + \frac{35}{4}\\\\[/tex]
LCM (3, 2 ,4) = 12
[tex]\frac{(-23*4) -(11*6)+(35*3)}{12} = \frac{-92-66+105}{12} =\frac{-53}{12} = -4\frac{5}{12}[/tex]
Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to create the dollhouse bed. Her bed is 36 inches wide and 60 inches long. If she wants to scale this down by 1/10, what would be the dimensions of the dollhouse bed? Explain how you got your answer.
*Use the term SCALE FACTOR in your explanation.
The dimensions of the dollhouse bed are 3.6 inches × 6 inches. By dividing 10 by each dimension, the dollhouse bed's dimensions may be found.
What exactly is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
The dimension of real bad;
a = 36 inches
L = 60 inches
Down scale factor = 1/10
The dimensions of the dollhouse bed are obtained by dividing 10 in each dimension;
a'=36/10
a'=3.6 inches
L'=60/10
L'=6 inches
Hence the dimensions of the dollhouse bed are 3.6 inches × 6 inches.
To learn more about dilation, refer to
https://brainly.com/question/13176891
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Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth.
Answer:
50 feet
Step-by-step explanation:
Set up a 3-dimensional coordinate system (see the attached image).
This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).
The two points in question are then:
First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).
The distance between two points [tex]\left( x_1,\,y_1,\,z_1\right)[/tex] and [tex]\left( x_2,\,y_2,\,z_2\right)[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2[/tex]
[tex]d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50[/tex]
Please answer, what is x?
Answer:
ths is the real answer 您同性恋您同性恋您同性恋您同性恋您同性恋
您同性恋您同性恋
Step-by-step explanation:
HELP ME PLEASE LAWS OF SINES !! IXL !!
Answer:
f = 19.0
Step-by-step explanation:
By applying sine rule in the triangle given in the figure,
By applying triangle sum theorem,
m∠F + m∠G + m∠H = 180°
110° + m∠G + 40° = 180°
m∠G + 150° = 180°
m∠G = 30°
[tex]\frac{sin(\angle F)}{GH}= \frac{sin(\angle G)}{HF}=\frac{sin(\angle H)}{FG}[/tex]
[tex]\frac{sin(\angle 110^0)}{f}= \frac{sin(\angle 30^0)}{g}=\frac{sin(\angle 40^0)}{13}[/tex]
[tex]\frac{sin(\angle 110^0)}{f}= \frac{sin(\angle 40^0)}{13}[/tex]
[tex]\frac{0.9397}{f}= \frac{0.6428}{13}[/tex]
f = [tex]\frac{13\times 0.9397}{0.6428}[/tex]
f = 19.0
BE QUICK GIVING BRAINIEST
A cylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diameter of 12 inches.
What is the height of the cone?
A. 4 Inches
B. 16 inches
C. 48 inches
D. 96 Inches
Answer:
D. 96 inches.
Step-by-step explanation:
Radius of cylinder = 1/2 * 24 = 12 inches.
Radius of the cone = 1/2 * 12 = 6 inches.
Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h
So pi 12^2 * 8 = 1/3 pi * 6^2 * h
1152 pi = 12 pi h
h = 1152/12
h = 96 inches.
Choose all the numbers that make 5 × □ < 5 true.
A- 1 1/4 B-3/8 C-10/11 D-4 4/5 E- 4/3 F- 1/4
Answer:
B, C, F
Step-by-step explanation:
It's asking 5 x (what?) is less than 5.
It has to be less than one to be a correct answer then.
Question- A bakery sells 5 apple muffin for every 2 brand muffins sold. Which table shows this ratio?
No links or you get reported
is my answer correct?
Answer:
The one on the bottom left corner. I'm not sure what letter that is!
Hope this helped :)
Step-by-step explanation:
PLEASE HELP 20 POINTS
Answer:
43 3/4 cups of cheese
8 3/4 cups of olives
26 1/4 cups of sausage
Step-by-step explanation:
Answer:
43 3/4 cup of cheese
26 3/4 cups of olives
8 1/3 cups of sausageWhich value for x makes the sentence true?
PLEASE HELP BRO IM FAILING MATH
Answer:
Step-by-step explanation:
we have several angles that have the same vertex and so they are congruent
1) e = 35 degrees because the opp angle has this measure
2) d = 109 degrees for the reason above
3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)
f = 180 - (35 + 109)
f = 180 - 144 = 36 degrees
Help help help I need help ASAP
Answer: 54.4
Step-by-step explanation:
A guy wire connects the top of an antenna to a point on level ground at 15ft from the base of the antenna. The angle of elevation formed by this wire is 79. What is the length of the wire and the height of the antenna?
Answer:
VEFG4KLKB
Step-by-step explanation:
BLB
The length of the guy wire is approximately 74.7 feet, and the height of the antenna is approximately 72.2 feet.
Here, we have,
To find the length of the guy wire and the height of the antenna, we can use trigonometry and the concept of right triangles.
In this scenario, the guy wire represents the hypotenuse of a right triangle, and the height of the antenna represents one of the legs of the triangle.
The angle of elevation formed by the guy wire is given as 79 degrees.
Let's denote the length of the guy wire as h and the height of the antenna as a.
Using the trigonometric function sine (sin), we can relate the angle of elevation and the sides of the triangle:
sin(angle) = opposite/hypotenuse.
In this case, the opposite side is the height of the antenna (a), and the hypotenuse is the length of the guy wire (h).
sin(79°) = a/h.
To solve for h, we can rearrange the equation as:
h = a / sin(79°).
We also have another relationship between the sides of the triangle.
The base of the right triangle is given as 15 feet, and the height of the antenna is a.
Therefore, using the Pythagorean theorem, we have:
h² = a² + 15².
Now we can substitute the expression for h from the first equation into the second equation:
(a / sin(79°))² = a² + 15².
Expanding and simplifying, we get:
a² / sin²(79°) = a² + 225.
Multiplying both sides of the equation by sin²(79°), we have:
a² = sin²(79°) * (a² + 225).
Expanding again, we get:
a² = sin²(79°) * a² + 225 * sin²(79°).
Rearranging the equation, we have:
a² - sin²(79°) * a² = 225 * sin²(79°).
Factoring out a², we get:
(1 - sin²(79°)) * a² = 225 * sin²(79°).
Using the trigonometric identity sin²(θ) + cos²(θ) = 1,
we know that cos²(θ) = 1 - sin²(θ).
Therefore:
cos²(79°) * a² = 225 * sin²(79°).
Taking the square root of both sides, we have:
cos(79°) * a = 15 * sin(79°).
Simplifying, we get:
a = (15 * sin(79°)) / cos(79°).
Using a calculator or software, we find:
a ≈ 72.2 feet (rounded to one decimal place).
Now, to find the length of the guy wire (h), we can substitute the value of a into the first equation:
h = a / sin(79°).
Using a calculator or software, we find:
h ≈ 74.7 feet (rounded to one decimal place).
Therefore, the length of the guy wire is approximately 74.7 feet, and the height of the antenna is approximately 72.2 feet.
To learn more trigonometry click:
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For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)
Answer: 180
i thank hopeful \
A company sells cereal in two different-sized boxes: a 17-ounce box for $2.89, and a 24-ounce box for $3.29. How do the unit prices of the two boxes compare?
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review.Assume Χ is normally distributed.Let be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.
A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs. Sketch the graph, labeling
and scaling the horizontal axis. Shade the region corresponding to the probability.
b. P(________________) = _______
C. Find the 95th percentile for the mean time to complete one month's reviews. Sketch the graph.
D. The 95th Percentile =____________
Answer: i think it would be 20
Step-by-step explanation:
if you do the problem it should show you
What do I need to do
Step-by-step explanation:
.....
Answer:
The answer is 4.
Step-by-step explanation:
All you have to do is count the dots between the library and Gabes house.
Find the missing angle.
Answer:
V=51, U=90 W= 39
Step-by-step explanation:
V= 51 Degrees (has told in the question)
U= 90 Degrees (Its A Right Angel Triangle, And Right Angle Is Always 90 Degrees)
W= 39 Degrees (Sum Of All Sides Of A Triangle = 180 Degrees
51 + 90 + W = 180
141 + W = 180
W = 180 - 141
W = 39 )
Hope It Helps,
Thanks
PLEASE HELP MEEEEEEEEE
9514 1404 393
Answer:
A, B
Step-by-step explanation:
The equation is equivalent to ...
cos(x -π/7) = -(√2)/2
x -π/7 = arccos(-(√2)/2) = {3π/4, 5π/4} . . . . . cosine is negative in QII and QIII
x = {3π/4 +π/7, 5π/4 +π/7} +2nπ . . . . . matches A and B
The new candy store packed 3 ponds of bubblegum in each of their bags. How many bags would Sam need to bu if he wanted 288 ounces of bubblegum?
Answer:
NYS Math Module 3 Grade 4 Lesson 32 Concept Development
Problem 1
We all know there are 7 days in a week. How many weeks are in 259 days?
Problem 2
Everyone is given the same number of colored pencils in art class. If there are 249 colored pencils and 8 students, how many pencils does each student receive?
Problem 3
Mr. Hughes has 155 meters of volleyball netting. How many nets can he make if each court requires 9 meters of netting?
Step-by-step explanation:
Answer:
6 bags
Step-by-step explanation:
228 ounces = 18 pounds
18 pounds ÷ 3 pounds
6 bags
-------------------------------------------------------------------------------------------------------------
We all know there are 7 days in a week. How many weeks are in 259 days?
37 weeks
[tex]\frac{1}{7} :\frac{y}{259}[/tex]
y · 7 = 1 · 259
7y = 259
7y ÷ 7 = 259 ÷ 7
y = 37
Everyone is given the same number of colored pencils in art class. If there are 249 colored pencils and 8 students, how many pencils does each student receive?
31 color pencils each and 1 extra pencil
249 ÷ 8 =
31.125 colored pencils each
This rounds to 31 color pencils and 1 extra pencil.
Mr. Hughes has 155 meters of volleyball netting. How many nets can he make if each court requires 9 meters of netting?
7 courts and he will be left with 2 meters of netting
155 ÷ 9
17 and 2/9 volleyball courts
17 courts and he is left with 2 meters of netting.
A factory employs 18 women to sew 540 dresses. The women take 6 weeks to do the job. If 12
women had been employed instead, how many weeks would it have taken them to sew the 540
dresses?
9514 1404 393
Answer:
9 weeks
Step-by-step explanation:
In problems of this nature, the usual assumption is that the time required is proportional to the work product and inversely proportional to the number of people doing the job. Here, there is no change in the amount of work, but the number of people is reduced by a factor of 12/18 = 2/3.
So, the amount of time required is expected to increase by a factor of 1/(2/3) = 3/2.
(6 weeks)×(3/2) = 9 weeks
It would have taken 9 weeks to sew the 540 dresses.
pls help (links will get reported)
Answer:
-938 ft
Step-by-step explanation:
the bird will be going down in elevation. the distance between -422 and -1360
-1360+422= -938
Choose a method you prefer to solve for a system of linear equations.
x+y=0
x-y= -16
Answer:
Eliminating
Step-by-step explanation:
The given equations are ,
x+y=0x-y= -16Here I would prefer to use Elimination Method. Since there is negative y and positive y in the equations . So we can eliminate y easily and then we can find x. Also , let's solve ,
On addition :-
→ 2x = -16
→ x = -16/2
→ x = -8
Hence the most preferred method is " Elimination Method ".reduce to hours and minutes 66000 seconds
Answer:
18.333333 hours
Step-by-step explanation:
1099.99998 mintunes
1/2x + 3/2 (x + 1) - 1/4 = 5
PLEASE HELP, I WILL GOVE BRAINLIEST. Katrina's cat weighed 12 3/4 pounds at its last visit to the veterinarianSince that visit, the cat has gained 5/8 pound. How much does Katrina's cat weigh now? Show your work
Answer
13 1/2 pounds
Step-by-step explanation:
welcome ;)
Answer:
the cat now weighs 13 3/8 LBS
Step-by-step explanation:
convert the fractions so you can add them together,
mult 3/4 by two to get common denominators
6/8 + 5/8
the cat gained 11/8 pounds. (1 3/8)
since the numerator is larger we add the mixed number to the 12 pounds.
13 3/8 pounds.