Answers
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180° , then
∠ BAC + 51° + 90° = 180°
∠ BAC + 141° = 180° ( subtract 141° from both sides )
∠ BAC = 39°
using the tangent ratio in the right triangle
tan51° = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{12.8}[/tex] ( multiply both sides by 12.8 )
12.8 × tan51° = AC , then
AC ≈ 15.8 ( to 1 dec. place )
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12.8}{AB}[/tex] ( multiply both sides by AB )
AB × cos51° = 12.8 ( divide both sides by cos51° )
AB = [tex]\frac{12.8}{cos51}[/tex] ≈ 20.3 ( to 1 dec. place )
Related Questions
use the dots for one and two. what is the difference between the ranges
a. 20 points
b. 5 points
c. 10 points
d. 35 points
Answers
Answer:
a. 20 points
Step-by-step explanation:
Range = Largest given value - Smallest given value.
Identifying the range of test 1
Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.
So range of test 1 = 90 - 50 = 40
Identifying the range of test 2
Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100
So range = 100 - 40 = 60
Identifying the differences between the ranges
Test 1 range : 40
Test 2 range : 60
Difference between the two : 60 - 40 = 20 points
Mrs. thomas wants to put a table in the corner of a room. she considers the measurements of these tables. table 1 length: 1.5 feet width: 2.4 feet diagonal: 3.0 feet table 2 length: 3.2 feet width: 2.8 feet diagonal: 4.0 feet table 3 length: 2.4 feet width: 3.2 feet diagonal: 4.0 feet table 4 length: 2.6 feet width: 1.8 feet diagonal: 3.0 feet the walls forming the corner meet at a 90º angle. which table will fit snugly in the corner? table 1 table 2 table 3 table 4
Answers
Table 3 will fit snugly in the corner of the room.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
From the given data we will check the value of the diagonal by applying the Pythagorean theorem.
So by using the Pythagorean theorem:-
D ² = L² + W²
D² = ( 2.4 )² + ( 3.2 )²
D² = ( 5.76 + 10.24 ) = 16
D = √16 = 4 feet
Therefore table 3 will fit snugly in the corner of the room.
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ1
Answer:
Table 3.
Step-by-step explanation:
Person above is correct, I'm takin the test!!
The chance of winning based on the type of lottery tickets we purchase is 0.05, or 1 in 20. We will play each saturday until we win. What is the probability of winning on the fourth ticket?
a .05
b .0407
c .0475
d .04287
Answers
Answer:
Given that the probability of winning is = 0.05
So the probability of losing is = 1 - 0.05 = 0.95.
We are told we have a 1 in 20 chance
Success: 0.05
Failure: 0.95
P(X=4)= 0.95*0.95*0.95*0.05
So the chance is 0.04286 or Option D
round 8.48 to the nearest tenth
Answers
Answer:
8.50
Step-by-step explanation:
it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50
What is the measure of E
Answers
Step-by-step explanation:
Represent D and E as x because you don't know them
Now the sum of all these angles is 180
so,D+E+90(THE SIGN AT THE TOP)=180
D which is x the E which is also x
x+x+90=180
2x+90=180
2x=180-90
2x=90
[tex] \frac{2x}{2} = \frac{90}{2} [/tex]
cancel and you will get x as 45
therefore x is 45 degrees
-10
Which system of inequalities is shown in the graph?
A)
x - 2y > 8 or x - 2y ≤ -6
x - 2y < 8 or x - 2y 2-6
x - 2y > -8 or x - 2y ≤ 6
x - 2y <-8 or x - 2y ≥ 6
B)
G
D)
-5
10-
0
-10+
5
10
Answers
Answer:
x - 2y > 8 or x - 2y ≤ -6
Step-by-step explanation:
I used desmos
I hope this helps!!!
GIVING BRAINLIEST!!!!!
Answers
Answer:
D' : (2, 1)
E' : (2, 3)
A' : (5, 3)
Step-by-step explanation:
Answer:
D' = (2, -3)
E' = (2, -1)
A' = (5, -3)
Step-by-step explanation:
Coordinates are :
D = (-4, -4)E = (-4, -2)A = (-1, -4)The transformation rule is :
(x , y) ⇒ (x + 6, y + 1)Point D'
D' = (-4 + 6, -4 + 1)D' = (2, -3)Point E'
E' = (-4 + 6, -2 + 1)E' = (2, -1)Point A'
A' = (-1 + 6, -4 + 1)A' = (5, -3)help me please i need help
Answers
Answer:
if you want to, I can explain it to you in more details
The radius of a semicircle is 9.1 centimeters. What is the semicircle's perimeter?
Answers
Answer:
28.6 cm
Step-by-step explanation:
Given radius of semicircle (r) = 9.1 cm
perimeter of a semicircle = πr
= 22/7 × 9
= 22 × 1.3
= 28.6
Please answer Asapp (Will give brainliest)!
Answers
Answer:
There is no answer as there is no question.
Step-by-step explanation:
Answer:
I added the answer to your newest problem :D
Step-by-step explanation:
Hope it helped!
In general, 60 beats per minute (bpm) is a heart rate that is considered too slow for an adult when at rest and 100 bpm is considered too high. As one way of measuring the stress of Canadian air traffic controllers, heart rates of 173 randomly selected air traffic controllers were measured across Canada. Of this sample of air traffic controllers, 47 had a resting heart rate over 100 bpm. What is the true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm
Answers
The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%
How to calculate true proportion?We are given;
Sample size; n = 173
Number of people who had a resting heart rate over 100 bpm = 47
Now, formula for true proportion is;
p' = x/n
where;
x represents the number of successes
n represents the sample size.
p′ is the sample proportion which is the point estimate for the true population proportion.
Thus;
p' = 47/173
p' = 0.2717
Read more about True Proportion at; https://brainly.com/question/5761944
#SPJ4
Please help!!!! Find the value of x.
Answers
Answer: 84
Step-by-step explanation:
Find the missing angle. 60° 80° 90° 200
Answers
Answer:
80
Step-by-step explanation:
140-60
140 + 60 = 200
360 - 200 = 160
Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?
A.
graph A
B.
graph B
C.
graph C
D.
graph D
Answers
Answer:
its C
Step-by-step explanation:
I used something else for it for it
Determine the period.
Acellus
Answers
Explanation:
One root (aka x intercept) is at x = 0
The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5
After this point, the curve repeats itself. This means the period is 5 units.
The graph repeats itself every 5 units, aka the cycle is 5 time units long.
Which measure of variability is the most appropriate for this set of values? OA range OB. interquartile range OC. mean absolute deviation OD. absolute deviation O E. either interquartile range or mean absolute deviation
Answers
The most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have data shown in the picture.
As we know, Quartiles or ranges are useful, but they are limited because they skip a lot of data in the group.
For a data set like the one in this question, where the items are close in difference, absolute deviation can help us gain a more representative notion of spread.
Thus, the most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ1
To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin? 16 square centimeters 30 square centimeters 56 square centimeters 60 square centimeters
Answers
The area covered by the napkin is 56 square centimeters
How to determine the area covered by the napkin?This is calculated using:
[tex]Area = \frac 12 ab\sin(C)[/tex]
Where:
a = 15, b = 5 and C = 30
So, we have:
[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]
Evaluate the product
Area = 56.25
Approximate
Area = 56
Hence, the area covered by the napkin is 56 square centimeters
Read more about areas at:
https://brainly.com/question/24487155
#SPJ4
Answer: 56
Step-by-step explanation:
that’s c on 2023 edge
Based on the end behavior of the graph, which polynomial function is graphed here?
graph of f(x) = -3x^4 - 6x^3 - 2x^2 + x + 3
A.
f(x) = 3x4 − 6x3 − 2x2 + x + 3
B.
f(x) = -3x3 − 2x2 + x + 3
C.
f(x) = -3x4 − 6x3 − 2x2 + x + 3
D.
f(x) = 3x3 − 2x2 + x + 3
Answers
Answer:
C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]
Step-by-step explanation:
As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.
Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.
#3
the price of a watch was decreased by 35% and
sold for $75.99. what was the original price of the
watch in dollars?
a. $26.60
c. $116.91
b. $49.39
d. $217.11
Answers
Step-by-step explanation:
it means
$75.99 = original price × 0.65 ((100-35)/100)
original price = $75.99/0.65 = $116.9076923... ≈
≈ $116.91
For his phone service, Omar pays a monthly fee of $26, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is
$108.74
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
D
>
DO
20
х
5
?
Answers
Answer: m ≥ 1,379
Step-by-step explanation:
$26 monthly fee
$0.06/minute of use
$108.74 (least charged in a month)
m = number of minutes
26 + 0.06m ≥ 108.74
0.06m ≥ 108.74 - 26
0.06m ≥ 82.74
[tex]\frac{0.06m}{0.06}[/tex] ≥ [tex]\frac{82.74}{0.06}[/tex]
m ≥ 1,379
HELP PLEASE FAST TY!!!!!!!!!!
Answers
Answer:
what is tge problem its to blurry
Kelly plants 45 tulips in 30 minutes what is the unit rate?
Answers
Answer:
1.5 per minute
Step-by-step explanation:
unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45
HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSED (it’s the Jessica one btw)
Answers
Explanation: First, subtract 11.50 - 4.75 = 6.75
Then 6.75 / 3 = 2.25
For the function f(x) = x3
Find f(2) =
Find f(-2) =
Answers
Answer:
[tex]f(2) = 6[/tex]
Step-by-step explanation:
Substitute x=2 into f(x) x times 3
[tex]f(2) = 2 \times 3[/tex]
Calculate it
[tex]f(2) = 6[/tex]
Help me find the angle P and FHR equals in the attachment. I am running out of time pls help quick
Answers
so angle FHR is 241-117= 124°
I need help asap please
Answers
Answer:
12.36
Step-by-step explanation:
the standard deviation is 12.36123 or 12.36 rounded.
a sheet of paper is 0.1mm thick
a) A ream of paper has 500 sheets. how thick would 1 ream of paper be?
Answers
Answer:
a) 50 mmb) 1 200 sheet of paperStep-by-step explanation:
a) the thickness of one ream of paper :
= 0.1 × 500
= 50 mm
b) 12 cm = 12 × 10 = 120 mm
Then
the number of sheets that exist in a pile of papers that has a thickness of 12 cm :
= 120 ÷ 0.1
= 1 200 sheet of paper
The top few hits from a search engine claim that approximately 10% of the population in the United States is left-handed. From a random sample of 20 students at your high school, you find 6 left-handed students, which gives you reason to believe that the true parameter is greater than 10%.
Use the drop-down menus to complete the statements.
Using a random number table, let digits
represent left-handed individuals and let digits
represent right-handed individuals.
Moving left to right across a row, select
numbers at a time and record the proportion of left-handed individuals.
Answers
Answer:
ok but question should be more clear though this is hard to understand
Answer:
0, 1-9, 20
Step-by-step explanation:
Pre-calc 2021
What is the total area of the following composite figure?
136.26 m 2
122.13 m 2
117.42 m 2
62.13 m 2
Answers
Step-by-step explanation:
there is a rectangle and an octagon within
area of rectangle = 8*9 = 72
there are 4 right angled triangles
area of one such triangle = .5 × 9 = 4.5
total area of triangles = 18
area of octagon = 72-18 = 54 m^2
Marcus had to drive to a job training workshop in a city 225 miles away from his home. He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training. How much was he paid for attending this workshop?
Answers
Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.
How to calculate allowance?According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.
He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.
This means that Marcus was paid as follows:
$0.55 × 225 miles = $123.75$145 × 4 = $580Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.
Learn more about allowance at: https://brainly.com/question/27281756
#SPJ1