139.49
Step-by-step explanation:
using trig ratios.
tan=o/a
tan74°=n/40
40tan74°=n
use calculator to solve
=139.49
hope this helped :)
We will solve it using trigonometry formulas:
\(\boxed{ \begin{minipage}{5 cm} {Formulae:} \\ \\ $\bigstar\:\:\sin\theta\:=\:\frac{Opposite}{Hypotenuse} \\ \\ \bigstar\:\:\cos\theta\:=\:\frac{Adjacent}{Hypotenuse} \\ \\ \bigstar\:\:\tan\theta\:=\:\frac{Opposite}{Adjacent}$ \end{minipage} }\)
\(\rule{190pt}{2pt}\)
\(\bold{\ttt{Given,}}\\\)
\(\sf{Adjacent=40}\\ \sf{Opposite=n}\\ \sf{\theta=74\°\)
\(\bold{\ttt{Solution,}}\\\)
\({\tan\theta\:=\:\frac{Opposite}{Adjacent}}}\)
\({\sf{\tan74\:=\:\frac{n}{40}\)
\({\sf{\tan74\:x\:40\:=\:n\)
\({\sf{139.49\:=\:n\)
\({\sf{n\:\approx139.5\)
\(\boxed{\sf{n\:=\:139.5}}\)
A parallelogram-shaped field in a park needs sod. The parallelogram has a base of 24.5 meters and a height of 22 meters. The sod is sold in pallets of 50 square meters. How many pallets of sod are needed to fill the field?
Answer:
10.78 , 11 pallets
Step-by-step explanation:
24.5 x 22 divided by 50 + 10.78
I needddd helppppp pleaseee
Answer:
60°
Step-by-step explanation:
Because that is an equiangular triangle all the angles are the same. Which is 60°
Answer:
60 Degrees
Step-by-step explanation:
Because it's an equilateral triangle and all the angles are all the same!
It adds up to 180 Degree
which tissues are characterized by having few cells separated by a large amount of extracellular matrix? select all that apply.
The tissues which are characterized by having few cells separated by a large amount of extracellular matrix are as follows:1. Cartilage tissue2. Bone tissue3. Blood tissue4. Adipose tissue5. Connective tissue The extracellular matrix (ECM) is a collection of extracellular biomolecules secreted by cells which offers structural and biochemical support to the surrounding cells.
ECM is composed of fibrous proteins such as collagen, elastin, reticular fibers, and glycoproteins such as laminin, fibronectin, and proteoglycans that are secreted by cells. The amount and composition of the extracellular matrix varies according to the tissue type.
Connective tissue is a type of tissue that is characterized by having few cells separated by a large amount of extracellular matrix. These tissues provide support, anchor, and connect organs. These tissues also play a role in energy storage, protection against pathogens, and the production of blood cells.
To know more about large visit:
https://brainly.com/question/31563277
#SPJ11
Please tell me if I am right. Is the answer 615.75
Answer:
I would say yes if Im wrong im deeply sorry
Step-by-step explanation:
What two angles of elevation will enable a projectile to reach a target 13 km downrange on the same level as the gun if the projectile's initial speed is 425 m/sec? The two angles of elevation are___° and___°
(Round to the nearest degree. Use ascending order.)
In this cases, The two angles of elevation are 36° and 144°
How to find the angles of elevationTo find the two angles of elevation for a projectile to reach a target 13 km downrange with an initial speed of 425 m/sec, we can use the projectile motion formula:
range (R) = (v² * sin(2 * angle)) / g
where v is the initial speed (425 m/sec), angle is the angle of elevation, and g is the acceleration due to gravity (approximately 9.81 m/s²).
We need to solve for angle.
First, convert the range to meters:
13 km = 13,000 m.
Next, plug the values into the formula:
13,000 = (425² * sin(2 * angle)) / 9.81
Now, solve for angle:
sin(2 * angle) = (13,000 * 9.81) / 425²
sin(2 * angle) ≈ 0.7387
Now, find the two angles using the arcsin function:
2 * angle = arcsin(0.7387)
angle = 0.5 * arcsin(0.7387)
There are two angles that will result in the same range:
angle_1 = 0.5 * arcsin(0.7387)
angle_2 = 180 - angle_1
Calculating the values:
angle_1 ≈ 36° angle_2 ≈ 144°
So, the two angles of elevation that will enable a projectile to reach a target 13 km downrange on the same level as the gun with an initial speed of 425 m/sec are approximately 36° and 144°.
Learn more about angle of elevation at
https://brainly.com/question/12951657
#SPJ11
What is -2f + 4/5f ?
- 4/5f is a fraction by the way.
The full equation is
8 - 4/5f = -14 -2f
-Please show work too :))
-I’m stuck on this problem
From the diagram below, if the measure of < <= 30°, and side AB = 16, then side AC =
Select one:
a.
b.8
C.32
d. 16
plsss help it’s for geometry 2
Answer:
32
Step-by-step explanation:
The length of AC as per he sine of an angle is 32.
What is the sine of an angle in a right angle triangle?The sine of an angle is the ratio of the height and the hypotenuse of the triangle.
Given, ∠C = 30°
AB = 16
Therefore, sin ∠C = (AB/AC)
Therefore, sin (30°) = 16/AC
⇒ (1/2) = 16/AC
⇒ AC = 2 × 16
⇒ AC = 32
Learn more about the sine of an angle here: https://brainly.com/question/22688137
#SPJ3
a certain species of deer Is to be introduced Into a forest Wildlife experts estimate The population will grow to P(t)= (988)3 1/2 where t where represents The number of years from the time of introduction.How long will it take for the population to reach 26676 deer according to this model?
Using exponential function it will take approximately 2.6 years for the population to reach 26676
Exponential FunctionExponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.
The formula given in this question is
P(t) = 988(3.5)ˣ
x = number of years from time of introductionThe time it will take to reach a population of 26676 is
26676 = 988(3.5)ˣ
x = 2.6 years
It will take approximately 2.6 years
Learn more on exponential function here;
https://brainly.com/question/2456547
#SPJ1
-4/5 + 33/10 Write your answer as a mixed number in simplest form.
Answer:
2 1/2
Step-by-step explanation:
−45+3310=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-4/5, 33/10) = 10
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(−45×22)+(33/10×11)=?
Complete the multiplication and the equation becomes
−8/10+33/10=?
The two fractions now have like denominators so you can add the numerators.
Then:
−8+33/10=25/10
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using
GCF(25,10) = 5
25÷5/10÷5=5/2
The fraction
52
is the same as
5÷2
Convert to a mixed number using
long division for 5 ÷ 2 = 2R1, so
52=212
Therefore:
−4/5+33/10= 2 1/2
Need help
: a^2-7a =0
Answer:
a = 0 or a = -7
Step-by-step explanation:
We are going to solve this quadratic equation by factorizing.
a² - 7a = 0
a(a - 7) = 0
a = 0 or a - 7 = 0
a = 0 or a = -7
helllllpppppppppp idk what it issssss
Ann is twice as old as mary and three times as old as donald. Together their ages total 99. How old is ann?
Answer:
54 years
Step-by-step explanation:
Given that :
Let :
Ann's age = x
Mary's age = x/2
Donald's age = x/3
x + x/2 + x/3 = 99
Take the L. C. M
(6x + 3x + 2x) / 6 = 99
11x / 6 = 99
11x = 99 * 6
11x = 594
x = 594 / 11
x = 54
Hence, Ann is 54 years
A plumber $130 to start a job plus $56 per hour. How many hours did she work if the total bill is $214? This problem can be modeled with this equation: 130+56x=214 which operation should be preformed to isolate the variable term?
Answer:
Combine like terms by subtracting
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation: half an hour is 28 dollars. if he worked for 1 hour, it would be 186 +28 which was the left over amount of money to add up to 214, simply put, 1 hour and 30 minutes or 1.5 hours
1. Quelle était la température à midi ce jour-là ?
Answer: You put this in math when this is french, if you want this in english, the translation is ”what was the temperature at noon that day”
Step-by-step explanation:
American airlines requires that total outside dimensions (length+width+height) of a checked bag not exceed 62 inches.Suppose you want to check a bag whose height is same as its width.What is the biggest volumn bag of this shape that you can check on an american flight
Answer:
The maximum volume is 35316.4 in^3.
Step-by-step explanation:
Length + width + height is less than equal to 62 inches
Height = width = W
Let the length is L .
\(L + W + W = 62 \\\\L= 62 - 2 W\\\\Volume, V = L W H\\\\V = (62 - 2 W)\times W \times W\\\\V = 62 W^2 - 2 W^3\\\\\frac{dV}{dW}=124 W - 6 W^2\\\\So, \frac{dV}{dW} =0\\\\124 = 6 W\\\\W = 20.67 inches\)
So, the maximum volume is
\(V =124\times 20.67\times 20.67 - 2 \times 20.67^3\\\\V =52978.86 - 17662.46 = 35316.4 inch^3\)
The Perimeter of the triangle is 141cm work out value of p
By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.
How to determine the lengths of the side of a triangle
The three sides of a triangle are consecutive if and only if they are represented by three consecutive natural numbers. The perimeter is the sum of the three side lengths, whose formula is presented below:
x + (x + 1) + (x + 2) = 141
3 · x + 3 = 141
3 · (x + 1) = 141
x + 1 = 47
x = 46
By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.
Remark
The statement is complete, the correct statement is the following:
The triangle has three consecutive sides and its perimeter is 141 centimeters. Work out the value of each side.
To learn more on triangles: https://brainly.com/question/2773823
#SPJ1
The following table represents a proportional relation. Find the missing values:
x 0 1 2 3 4
y
13.2
Answer:16288.xy
Step-by-step explanation:
a man is shot in the arm after an encounter with a police officer. the officer claims the man was aiming a gun at her, but no weapon was found. in court, the officer points out that 85 percent of the time, when someone is shot by a police officer, that person was armed. since we know the man was shot by a police officer, she argues, there is an 85 percent probability that he was armed. what error is she making, if any?
Based on the information, the error officer is making is not taking into account the total evidence. (Option D)
The principle of total evidence suggests using all the available observation or evidence when estimating a probability. Hence, to meet total evidence requirement (RTE) not only evidence in favor of a claim but also against it must be considered. The RTE is a basic maxim for non-deductive inference, specifying that evidence must be considered if it has relevance to an inference. The principle of total evidence is tied to inductive inference or reasoning, which is always probabilistic. Total evidence is a tool of decision-making, where the decision is to accept or reject a certain theory/hypothesis on inductive grounds. Hence, logical probability is translated into the (inductive) degree of confirmation of a hypothesis or theory, and that 'logical probability' had to be based on the total evidence available at the time. In the given case, the error the officer is making is not considering the total evidence as she is considering the probability to support her claim but not against it.
Note: The question is incomplete as it is missing options which are a. base rate neglect b. ignoring survivor bias c. heads I win, tails we’re even d. not taking into account the total evidence e. nothing is wrong with her reasoning.
Learn more about Inductive inference:
https://brainly.com/question/8369124
#SPJ4
For the following function, which is a valid function call? assume maxvalue is an integer. int max(int x, int y) { if (x > y){ return x; } else { return y; } }
Assuming max value is an integer. int max(int x, int y) { if (x > y){ return x; } else { return y; } }.The function call max(4, 7) is a valid function call.
A valid function call for the given function would be:
max(4, 7)
Here's the step-by-step explanation:
1. The function definition is:
int max(int x, int y) {
if (x > y){
return x;
} else {
return y;
}
}
2. In the function call, we need to provide two integer values as arguments to the function. For example, max(4, 7).
3. In this case, the first argument is 4 and the second argument is 7.
4. The function compares the two arguments using the if statement. Since 4 is greater than 7, the condition x > y is true.
5. As a result, the function returns the value of x, which is 4.
Therefore, the function call max(4, 7) is a valid function call.
To learn more about function
https://brainly.com/question/11624077
#SPJ11
Maddie is making snack bags. She has 32 baby carrots and 44 pretzels. She wants to divide them equally among the bags. What is the greatest number of snack bags she can make?
Therefore, the greatest number of snack bags Maddie can make while dividing the baby carrots and pretzels equally is 4.
To determine the greatest number of snack bags Maddie can make while dividing the baby carrots and pretzels equally, we need to find the greatest common divisor (GCD) of 32 and 44. The GCD represents the largest number that divides both 32 and 44 without leaving a remainder.
To find the GCD, we can use the Euclidean algorithm or any other method of finding the GCD.
Using the Euclidean algorithm:
44 = 32 × 1 + 12
32 = 12 × 2 + 8
12 = 8 × 1 + 4
8 = 4 × 2 + 0
The remainder becomes 0, so the GCD of 32 and 44 is 4.
To know more about greatest number,
https://brainly.com/question/17807197
#SPJ11
HELP CAN SOMEONE HELP ME MATH I'LL GIVE BRAINLIEST
Answer:
Student C wrote the correct inequality
the inequality will be less than or equal to since we want to spend (exactly) 300 or less. We only buy one jacket for 60 dollars so it will be added seperately to the total number of jackets. We are buying multiple jackets and each jacket costs $40. P = # of pants. So the inequality will look like
60 + 40P (less than or equal to symbol) 300
Hope I'm not too late :)
Question 1 (if someone answers this I give 15 points)
The net for a cylindrical candy container is shown.
net of a cylinder with a diameter of both circles labeled 1.8 inches and a rectangle with a height labeled 0.8 inches
The container was covered in plastic wrap during manufacturing. How many square inches of plastic wrap were used to wrap the container? Write the answer in terms of π.
7.92π square inches
7.2π square inches
3.06π square inches
2.34π square inches
(no rush at all these are for my notes)
The amount of plastic wrap used to wrap the container is 3.06π square inches.
What is cylinder ?
A cylinder is a multi object used in geometry that has a round base, a curving surface rising from it, and another circular shape at the top or lid. One way to visualize a cylinder is as a stack of infinitely thin circular discs stacked one on top of the other. The height and radius of a cylinder, which measure the distance from the base to the top and the edge of the circular base, respectively, determine the shape of the object.
The plastic wrap covers the entire surface area of the cylinder. The formula for the surface area of a cylinder is:
Surface area of cylinder = 2πr² + 2πrh
where r is the radius of the circular base of the cylinder, and h is the height of the cylinder.
We can use the given diameter of the circular base, which is 1.8 inches, to find the radius r:
r = d/2 = 1.8/2 = 0.9 inches
We are also given the height of the rectangle, which is 0.8 inches.
Now we can substitute the values of r and h into the formula for the surface area of the cylinder:
Surface area of cylinder = 2π(0.9)² + 2π(0.9)(0.8)
Surface area of cylinder = 2π(0.81) + 2π(0.72)
Surface area of cylinder = 1.62π + 1.44π
Surface area of cylinder = 3.06π square inches
Therefore, the amount of plastic wrap used to wrap the container is 3.06π square inches.
To know more about surface area visit:
brainly.com/question/29101132
#SPJ1
Adela paid $71.70 for 6 tickets at the skating rink. Calculate the unit rate per ticket.
Answer:
\(\huge\boxed{\sf \$11.95}\)
Step-by-step explanation:
Given that,6 tickets = $71.70
Using unitary method.
Divide both sides by 66/6 ticket = $71.70/6
1 ticket = $11.95\(\rule[225]{225}{2}\)
4) Sue is playing darts. So far, she has hit the bullseye 4 times and missed the bullseye 10 times. What
is the experimental probability that Sue will hit the bullseye on her next toss?
The probability that Sue will hit the bullseye on her next toss is approximately 0.29 or 29%.
What is probability?
The experimental probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials or observations. In this case, Sue hit the bullseye 4 times out of 14 total trials (4 hits + 10 misses).
Therefore, the experimental probability that Sue will hit the bullseye on her next toss is:
4 hits / 14 total trials = 0.2857 or approximately 0.29
So the probability that Sue will hit the bullseye on her next toss is approximately 0.29 or 29%.
To know more about probability, visit:
https://brainly.com/question/11234923
#SPJ1
Complete question is: Sue is playing darts. So far, she has hit the bullseye 4 times and missed the bullseye 10 times. the probability that Sue will hit the bullseye on her next toss is approximately 0.29 or 29%.
Answer: 2/7
Step-by-step explanation: i did this question, trust me
The terminal side of an angle in standard position passes through P(-3,-4). What is the value of tan0
find the mistake1/3(1/2x-9)=1/2(x+18)
The solution of the equation 1/3 (1/2 x - 9) = 1/2 (x + 18) will be negative 36.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
The equation is given below.
1/3 (1/2 x - 9) = 1/2 (x + 18)
Simplify the equation, then we have
1/3 (1/2 x - 9) = 1/2 (x + 18)
(1/6)x - 3 = (1/2)x + 9
(1/2)x - (1/6)x = - 3 - 9
(1/3)x = - 12
x = - 36
The solution of the equation 1/3 (1/2 x - 9) = 1/2 (x + 18) will be negative 36.
More about the solution of the equation link is given below.
https://brainly.com/question/29797035
#SPJ9
The correct equation is given below.
find the value of 'x'
1/3(1/2x-9)=1/2(x+18)
Need help with this for school
Answer:
135
Step-by-step explanation:
The max value is where the far right point of the "whisker" is.
Let f(x)=mx+b where m and b are constants. If limx—>2 f(x)=1 and limx —>3 f(x)=-1 determine m and b.
Better formatting: Let f(x)=mx+b where m and b are constants. If limx—>2f(x)=1 and limx—>3f(x)=-1 determine m and b
The function is f(x) = -2x + 5, and the constants m and b are -2 and 5, respectively.
Given the function f(x) = mx + b, where m and b are constants, we know that:
limx→2 f(x) = 1
limx→3 f(x) = -1
Using the definition of a limit, we can rewrite these statements as:
For any ε > 0, there exists δ1 > 0 such that if 0 < |x - 2| < δ1, then |f(x) - 1| < ε.
For any ε > 0, there exists δ2 > 0 such that if 0 < |x - 3| < δ2, then |f(x) + 1| < ε.
We want to determine the values of m and b that satisfy these conditions. To do so, we will use the fact that if a function has a limit as x approaches a point, then the left-hand and right-hand limits must exist and be equal to each other. In other words, we need to ensure that the left-hand and right-hand limits of f(x) exist and are equal to the given limits.
Let's start by finding the left-hand limit of f(x) as x approaches 2. We have:
limx→2- f(x) = limx→2- (mx + b) = 2m + b
Next, we find the right-hand limit of f(x) as x approaches 2:
limx→2+ f(x) = limx→2+ (mx + b) = 2m + b
Since the limit as x approaches 2 exists, we know that the left-hand and right-hand limits must be equal. Thus, we have:
2m + b = 1
Similarly, we can find the left-hand and right-hand limits of f(x) as x approaches 3:
limx→3- f(x) = limx→3- (mx + b) = 3m + b
limx→3+ f(x) = limx→3+ (mx + b) = 3m + b
Since the limit as x approaches 3 exists, we know that the left-hand and right-hand limits must be equal. Thus, we have:
3m + b = -1
We now have two equations:
2m + b = 1
3m + b = -1
We can solve for m and b by subtracting the first equation from the second:
m = -2
Substituting this value of m into one of the equations above, we can solve for b:
2(-2) + b = 1
b = 5
Learn more about limit at: brainly.com/question/12207539
#SPJ11
volunteers for a human performance study were randomly divided into two groups. the first group had their flexibility measured in the morning after a short meditation session while the second group had their flexibility measured in the afternoon with no previous meditation session. the flexibility scores of the two groups were compared. to improve the design of this experiment, one part of it should be done in a blind way. that is, we should
To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation.
In the given experiment, the researchers have not employed any form of blinding, which could be a potential source of bias. Blinding is a critical aspect of experimental design, where the participants or the researchers are unaware of the group allocation or the treatment being administered. Blinding is used to eliminate any potential sources of bias that may arise due to the expectations or beliefs of the researchers or participants. In this particular study, the lack of blinding could have led to two possible sources of bias. Firstly, the participants in the first group who received the meditation session could have had higher expectations of improvement in their flexibility due to the meditation. These expectations could have led to higher motivation and effort during the flexibility measurement, leading to an artificial improvement in their flexibility scores. Secondly, the researchers who were measuring the flexibility of the participants could have been biased towards finding a difference between the groups due to their knowledge of the group allocation. This could have led to a subconscious alteration in the measurement process, leading to a false conclusion about the effect of meditation on flexibility.
hence To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation. For instance, the participants could have been assigned a unique identification number, and the researchers could have used coded labels to differentiate the groups. This would have eliminated any potential sources of bias due to expectations or beliefs and would have made the results more reliable.
To know more about double-blind design click here:
brainly.com/question/30450870
#SPJ4
subtract -5/6 from 1/3
Answer:
1 1/6
Step-by-step explanation:
1/3 - (-5/6)
Subtracting a negative is like adding
1/3 + 5/6
Get a common denominator of 6
1/3 *2/2 + 5/6
2/6 + 5/6
7/6
6/6 + 1/6
1 1/6
Answer: -1 1/6
Step-by-step explanation: -5/6 - 1/3 (2/2) -5/6 - 2/6 -7/6 -1 1/6