The angle of the elevation comes to be 41.94 degrees.
What is Angle of Elevation ?The angle of elevation is the angle that is to be formed between the horizontal line and the given line of sight. If the line of sight is upward from the given horizontal line, then the angle formed is an angle of the elevation.
What is Trigonometry ?The most crucial area of mathematics is trigonometry. Combining the Greek "Trigonon" and "Metron," which respectively mean "triangle" and "measure," creates the word "trigonometry." It is the examination of the relationship between a right-angled triangle's sides and angles. By employing formulas and identities based on this relationship, it is thus possible to determine the measure of a right-angled triangle's unknown dimensions.
As in the case of right angled Triangle
From Trigonometry,
tan (α) = [tex]\frac{124}{138}[/tex]
α = arctan( [tex]\frac{124}{138}[/tex] )
α = 41.94 degrees
and in radians = 0.732
To learn more about Trigonometry, Visit:
https://brainly.com/question/29002217
#SPJ4
A beetle is moving along a straight line at a constant rate. It moves 23 of a foot in 15 of a minute.
What is the average speed of the beetle?
The average speed of the beetle is 1.53 feet per minute.
What is the average speed?Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.
Given that, it moves 23 of a foot in 15 of a minute.
Here, the average speed
= 23/15
= 1.53 feet per minute
Therefore, the average speed of the beetle is 1.53 feet per minute.
Learn more about the average speed here:
https://brainly.com/question/9834403.
#SPJ1
What is 213 divided? Also how do you break 23 into tens and ones?
Answer:
What is 213 divided? 2 I think
Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones
what is the answer to this question?
−6(4y + 4y + (−4))
Answer:
-48y+24
Step-by-step explanation:
−6(4y + 4y + (−4))
=-6(8y+-4)
=-48y+24
Answer:
-48y + 24
Step-by-step explanation:
−6(4y + 4y + (−4)) =
= −6(8y - 4)
= -48y + 24
what is the slope if the line that passes through the points (10,8) and (7,14)? write your answer in simplest form
Answer:
-2
Step-by-step explanation:
we use the y2-y1/x2-x1 fomrula to find slope
14-8/7-10
6/-3
-2 is the slope
hopes this helps
A shipping container will be used to transport several 50-kilogram
crates across the country by rail. The greatest weight that can be
loaded into the container is 27500 kilograms. Other shipments
weighing 9500 kilograms have already been loaded into the container.
Write and solve an inequality which can be used to determine x, the
number of 50-kilogram crates that can be loaded into the shipping
container.
Answer:
50x + 9500 ≤ 27500
x ≤ 360
Step-by-step explanation:
50x + 9500 ≤ 27500 Subtract 9500 from both sides
50x + 9500 - 9500 ≤ 27500 - 9500
50x ≤ 18000 Divide both sides by 50
[tex]\frac{50x}{50}[/tex] ≤ [tex]\frac{18000}{50}[/tex]
x ≤ 360
7. Olivia purchases gifts for her mom and
grandma
for Mother's Day. The first is a pair of
sunglasses for $16.35 and the second is a
bracelet. Her total is $39.75. How much did she
spend on the bracelet?
Answer: $23.40
Step-by-step explanation:
To find out how much Olivia spent on the bracelet, we need to subtract the cost of the sunglasses from the total amount spent. In this case, that would be $39.75 - $16.35 = $<<39.75-16.35=23.40>>23.40. Therefore, Olivia spent $23.40 on the bracelet.
it is known that pre-schoolers, on average, spend three hours a week on tablets. i believe that this is no longer true, and that the average time that pre-schoolers spend on tablets differs in either direction from the previously given average. i calculate a z-test statistic of 1.74. what is my statistical decision?
Retain the null because 1.74 is greater than 1.645.
What is z - test statistic?
Any statistical test for which the test statistic's distribution under the null hypothesis can be roughly represented by a normal distribution is known as a Z-test.
Z-tests examine a distribution's mean.
Let X be the average time that prescholars spend on tablets.
X ~ N(μ, α^2)
To test H0: μ = 3 hours Vs H1: μ ≠ 3 hours.
The z - test statistic is obtained as 1.74.
Taking level of significance α = 0.05
Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex]
Since the observed z - statistic is 1.74 which is less than Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex],
so we retain the null hypothesis.
Hence, retain the null because 1.74 is greater than 1.645.
To know more about z - test statistic, click on the link
https://brainly.com/question/14453510
#SPJ1
Complete question:
Complete question is attached below.
What is the area of triangle lmn? round to the nearest square meter. 3 square meters 9 square meters 28 square meters 34 square meters
9 square meters is the area of triangle LMN. Using the concept of Heron's formula.
What is Heron's formula?Heron of Alexandria is credited with creating Heron's formula, which determines a triangle's area by dividing the lengths of its sides. if the side lengths are represented in symbols by a, b, and c.
According to Heron's formula the area = √s (s - a)(s - b)(s - c)
A triangle's semi-perimeter, whose area has to be calculated, is represented by the letter s in Heron's formula. s = (a+b+c)/2 is the formula for the triangle's semi-perimeter, which is the sum of its three sides.
a triangle with three sides, a, b, and c.
given data was LM = 7,MN = 6 and perimeter was given by 16m
As we know perimeter is the sum of all the sides
so, Perimeter=LM + MN + NL
NL=Perimeter-(LM+MN)
NL=16 - 7 - 6
NL= 3
By Heron's formula,
Area = √[(s(s-a)(s-b)(s-c)].
where s = perimeter/2
so, s = 16/2 = 8
area = √[(8(8-7)(8-6)(8-3)]
area = 8.94427191 ≈ 9 square meters.
To know more about Heron's formula refer to:
https://brainly.com/question/12454834
#SPJ4
Answer: 9m
Step-by-step explanation:
What is the quotient of 535 ÷ 30? Enter your answer in the boxes.
Number 49. Please help Graphing inequalities? Why is the answer A? Please do a step by step explanation for each answer choice.
I don't see the picture. Can you send it in the message.
Select the correct answer.
Which graph represents function g?
g(x) = (-x)1/2
Answer:
Step-by-step explanation:
g(x) = (-x)1/2
write 987.6 in scientific notation
987.6 million written in scientific notation is 9.876 × [tex]10^{8}[/tex]
What is scientific notation?
Scientific notation is basically a shortcut for writing numbers. It is a method of expressing real numbers in terms of a significand, multiplied by a power of 10.
When using scientific notation, you're allowed to simplify all the zeros that you have in the number by writing the number as a product of a number and a power of 10. 987.6 million in exponential form is [tex]a^{b}[/tex], a is the base, and b is called the exponent . The term [tex]a^{b}[/tex] is called the exponential expression. 987.6 million = 9.876 x 100,000,000 = 9.876 ×[tex]10^{8}[/tex].
To know more about scientific notation visit:
https://brainly.com/question/10401258
#SPJ1
Rewrite 3x + 15 as the product of two factors
Answer:
Below
Step-by-step explanation:
3x+15 <==== factor out '3'
3 * ( x+5) done !
A tutor guarantees that 10% of her students will obtain A on every test they write. For the last test, the mean mark is 68 and the standard deviation is 6.
What mark is required to receive an A on the test?
The mark that is required to receive an A on the test is; 75.68
How to find sample mean?The formula for z-score here with the parameters given is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
p-value = 10% = 0.1
μ = 68
σ = 6
Now, from z-score tables, the z-score at a p-value of 0.1 is z = 1.28. Thus;
1.28 = (x' - 68)/6
x' = 68 + (1.28 * 6)
x' = 75.68
We conclude that this value is the mark required to receive an A on the test.
Read more about sample mean at; https://brainly.com/question/28103278
#SPJ1
what is the value of 18 to the third power
Answer:
5832
Step-by-step explanation:
due today pls help me
Answer: B
Step-by-step explanation:
A - Nope.
B - Possibility.
C. Nope. (2.23606797)
D. Nope.
When facing questions like this, it can be easier to use the process of elimination.
Steven is a waiter. He earns $3.45 an hour plus 20% tips. One day he worked 7 hours and served meals costing $497 what were his earring? Round you answer to the nearest cent.
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50
The number of boxes of sugar that Alonso can buy are 4.5 boxes.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.
The money remaining after buying 12 eggs : {r} = $(55 -2.75).
Cost of one box of sugar = $11.5
The number of boxes that he can buy are -
n = (55 - 2.75)/11.5
n = 4.5 boxes {approx.}
Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ1
(Find LCM of) :
ax² - (a² + ab)x+ a²b,
bx² - (b² + bc)x+ b²c and
cx² - (c² + ac)x + c²a
Answer:
Here is answer
Step-by-step explanation:
To find the least common multiple (LCM) of three polynomials, we need to find the smallest polynomial that is divisible by all three of them.
Let's start by factoring each of the given polynomials:
ax² - (a² + ab)x+ a²b = a(x - b)x
bx² - (b² + bc)x+ b²c = b(x - c)x
cx² - (c² + ac)x + c²a = c(x - a)x
The LCM of these three polynomials is the smallest polynomial that is divisible by all three of them. In this case, the smallest such polynomial is (x - a)(x - b)(x - c)x. This is because it is divisible by each of the given polynomials and no smaller polynomial is divisible by all three of them.
Therefore, the LCM of the given polynomials is (x - a)(x - b)(x - c)x.
A football team has four different jerseys that players wear throughout the season: school colors, white, throwback, and pink (for breast cancer awareness). The tree diagram shows the conditional probabilities of the outcome of their games when players wear each type of jersey.
For a randomly selected game, determine the probability that players wore their white jerseys, given that they won.
0.34
0.41
0.42
0.80
Answer:0.41
Step-by-step explanation:
Need help
What criteria are necessary to prove that two triangles are congruent to one another?
Answer:
SSS, SAS, ASA, AAS
Step-by-step explanation:
s = sides
a = angle
A kangaroo hopped directly toward a lake at a constant velocity for 30seconds. In one-third of that time, the kangaroo hopped 60meters. What was the kangaroo's velocity?
Answer: The animal hopped 60 meters in 10 seconds
6 m/s (lol)
Step-by-step explanation:
First off ok and second off bye <3
which statement must be true?
Answer:
DF=FE
Step-by-step explanation:
first to make it easier we can find the angles to each side
the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180
(3x+5)+(4x-15)+(2x+10)=180
9x+0=180
/9. /9
x=20
now we can find each angle
3(20)+5
60+5
D=65 degrees
4(20)-15
80-15
E= 65 degrees
2(20)+10
40+10
F=50 degrees
Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT
Since there are 2 of the same angles this is an isosceles triangle
the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal
hopes this helps
consider the following: the mayor of a town has proposed a plan for the annexation of a new community. a political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 65%. what is the alternative hypothesis? group of answer choices
We can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.
What do you mean by Annexation?
International law defines annexation as the forcible acquisition of one state's territory by another state, typically after the possession of the region by an occupying military force. In most cases, it is considered to be unlawful.
According to the question,
We have the given data:
A political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation.
The conclusion of the hypothesis test is that we reject the null hypothesis that the percentage of residents who favor annexation is 65% or lower. The sample data suggests that 69% of residents favor annexation and the p-value associated with the test statistic is 0.07, which is less than the significance level of 0.05.
This indicates that the data is significantly different from the null hypothesis and that the true percentage of residents who favor annexation is likely greater than 65%.
Therefore, we can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.
To learn more about Annexation, visit:
brainly.com/question/14894414
#SPJ4
Insert terms to make a identity replace *
(15x+*)^2=225x^2+90xy+*
Answer:
3y, 9y²
Step-by-step explanation:
We use laws of binomial
(a+b)²=a²+2ab+b²
From this, we get
15x × * × 2 = 90xy
2×*=6y
*=3y
Now, we square this term to get the last term
3y×3y=9y²
50 POINTS!!! Which graph represents this system? y = 3. x + y = 4. Which graph represents this system? y = 3. x + y = 4. On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7). On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6). On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0). On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
For a system with equations y = f(x) and y = g(x), the graph of the system will be just a coordinate plane with the two functions graphed on it.
What is functions graphed?
What Does Graphing Functions Mean? Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function. As an illustration, the graph below depicts the linear function f(x) = -x+ 2.
From this, we can see that the correct option is the first one:
"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."
Also a graph of the system can be seen at the end of this answer.
Here our system is:
y = 3
x + y = 4
The first one is a horizontal line at y = 3.
The second can be rewritten as:
y = -x + 4
So this is a line with a negative slope, that passes through the points (0, 4) (when you evaluate in x = 0, you get y = 4) and (4, 0) (when you evaluate in x = 4, you get y = 0)
Then the correct option is the first one:
"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."
The graph can be seen below
To learn more about functions graphed visit
https://brainly.com/question/15270072
#SPJ1
The original selling price was $171.59. The sale proteas $148.37. What is the first step in finding the percent markdown? Find the percent markdown
The original price is $171.59 and the price during sales is $148.37 then the percent markdown will be 13.53%.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Original selling price = $171.59
Price during sales = $148.37
Then, the percentage markdown will be,
% markdown = (171.59 - 148.37)/171.59 × 100
= 23.22/171.59 × 100
% markdown = 13.53%
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ1
PLEASE HELP!!!!! I WILL MARK BRAINIEST
Answer:
Step-by-step explanation:
7/8
------
3/10
use the fraction rule: 7x10/8x3- 35/12
try that, im not sure if its fully correct
5. Which of the following is an arithmetic
sequence?
A
B
C
D
-2, -5, -8, -11, -14, -17, ...
0,5, 0, 10, 0, 15, ...
2, 4, 8, 16, 32, ...
5, 11, 17, 23, 29, 36, ...
Answer:
A. -2, -5, -8, -11, -14, -17, ...
Step-by-step explanation:
The difference between consecutive terms is constant.
how many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next to each other?
We can arrange the group in 120960 different ways.
Given,
Number of adults = 7
Number of children = 4
We have to find the number of ways they can stand when no two children are allowed to stand together;
Here,
Arrange 7 adults in a row of 7 ; 7
Number of arrangements = 7! = 5040
Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.
Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements
Add the two groupings together = 5040 × 24 = 120960
Therefore,
There is 120960 ways to arrange the standing position of the group.
Learn more about arrangement of group here;
https://brainly.com/question/18530971
#SPJ4
