the distance between points A and B is approximately 464.6 yards to the nearest tenth.
Based on the given information and diagram, we can use the law of sines to find the length of segment AB.
First, we can find the length of segment AC:
AC = (300 yards) / sin(62°)
AC ≈ 339.9 yards
Similarly, we can find the length of segment BC:
BC = (300 yards) / sin(53°)
BC ≈ 384.9 yards
Now we can use the law of sines:
sin(A) / AB = sin(C) / BC
where A is the angle opposite segment AC and C is the angle opposite segment BC.
Solving for AB, we get:
AB = sin(A) × BC / sin(C)
To find angle A, we can use the fact that the three angles in a triangle add up to 180°:
A + 62° + 53° = 180°
A = 65°
Substituting the values we have:
AB = sin(65°) × 384.9 yards / sin(53°)
AB ≈ 464.6 yards
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The point (x, y) is proportional to the point (2, 5).
Select all the true statements.
A. (x,y) is a solution to y=5/2x.
B. (x, y) is a solution to y=x+3.
C. The ratio of is equivalent to 5/2:
D. Point (x,y) is the same point as (5,2).
E. A straight line through points (2, 5) and (x,y) will pass through the origin.
Answer:
did u get the answer??
Step-by-step explanation:
if so plz help
15 x 18 + 12 + 3 + 9
the answerrrrrrrrrrrrrrrrrrrr is 294
Answer:294
Step-by-step explanation:
15x18=270+12=282+3=285+9=294
PLEASE HELP!
Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.
Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24
Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.
Answer :
The value that makes the equation true is Paula 62
Step-by-step explanation:
Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true
all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla
Sophia
a = 318
5a + 8
= 5(318) + 8
as we can see this is not equal to 318
George
For George, we substitute a for 417
That will be;
5(417) + 8
This is not 318
for Nancy
5(310) + 8
This is not equal to 318
for Hank
we have a as 136
5(136) + 8
This is not equal to 136
for Paula
5(62) + 8
= 310 + 8 = 318
we can see this is correct
for Gavin,
5(24) + 8
= 128 which is not equal to 318
The only equal value is that of Paula which is our answer
Answer:
Gorilla Weight
(pounds) Plugged into
5a + 8 = 318 True or False?
George 417
5(417) + 8 = 318
2,093 = 318
false
Nancy 310
5(310) + 8 = 318
1,558 = 318
false
Hank 136
5(136) + 8 = 318
688 = 318
false
Paula 62
5(62) + 8 = 318
318 = 318
true
Gavin 24
5(24) + 8 = 318
128 = 318
false
Step-by-step explanation:
Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a total of $62.50. Let x be the price of a small bag of popcorn.
Which equation represents the situation?
62.50 + 8x = 40
40 + 8x = 62.50
40 + 5x = 62.50
62.50 + 5x = 40
Answer:
40+5x=62.50
Step-by-step explanation:
8 friends 5 dollars is 40 dollars. Each popcorn bag is 2.5
40+5(2.5)=62.5
40+12.5=62.5
Answer:
62.50 + 8x = 40
Brailest plez and ill give you brainiest!
Step-by-step
On a road map, the distance from City A to City B is 4 inches. The map scale is 1 inch = 20 miles. What is the actual distance, in miles, between City A and City B? A. 5 miles B. 24 miles C. 48 miles D. 80 miles
Answer: D. 80 miles
Step-by-step explanation:
if 1 inch is 20 miles, then 4 inches is 4 x 20 = 80 miles what is real distance between City A and City B
1 inch = 20 miles4 inch = 4 x 1 inch = 4 x 20 miles = 80 milesAnswer:
D. 80 miles
Step-by-step explanation:
If the map distance between Cities A and B is 4 in, and the map scale is 1 in = 20 mi, then the actual distance between Cities A and B is:
\(\frac{4\text{ in}}{1}\times\frac{20\text{ mi}}{1\text{ in}}=\frac{80\text{ mi}}{1}=80\text{ mi}\)
In other words, every one inch on the map equates to 20 miles in actual distance. Therefore, 4 inches equates to 80 miles.
Peter had to solve a puzzle.which mathematical symbol can be placed between 5 and 9, to get a numbergreater than 5, but less than 9?
To get a number greater than 5,but less than 0, Peter can use the mathematical symbol of a decimal point (.) to solve this puzzle.
If Peter places decimal point between 5 and 9, he can get a number like 5.1, 5.2, 5.3... up to 8.9, which meets the conditions of being greater than 5 but less than 9.
A decimal point (.) is a mathematical symbol. When this decimal point is placed in between two numbers, suppose x and y, then x.y means x.y is greater than x and less than y.
So to solve the puzzle, Peter can use decimal point.
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What is 34% of 128?
Round to the nearest
tenth.
Answer:
84.5
edit:
incorrect its 43.5 sorry
Step-by-step explanation:
Orlando wants to borrow $3,000 for the purchase of a used car. He has to pay back the loan after 4 years. The two loan options are simple interest at a rate of 5. 8% each year, or interest compounded annually at a rate of 5. 2% each year. Which method should he choose , simple or compound , and how much less will he owe using that method?
Orlando should consider using simple interest and the amount he will have to pay is $696, under the condition that he wants to borrow $3,000 for the purchase of a used car. He needs to clear the loan after 4 years.
Orlando should apply the simple interest method.
The amount of interest he will pay using simple interest is evaluated
I = P × r × t
Here
I = interest paid
P = borrowed principal amount
r = rate of annual interest
t = time
In this case,
P = $3,000
r = 5.8%
t = 4 years
Therefore,
I = $3,000 × 0.058 × 4
= $696
So Orlando will pay $696 in interest using simple interest.
The amount of interest he will pay using compound interest is calculated as follows:
\(A = P * (1 + r/n)^{(n*t)}\)
I = A - P
Here,
A = end term amount
n = count of interest that is compounded each year
In this case,
P = $3,000
r = 5.2%
t = 4 years
Interest is compounded annually so n=1
Therefore,
A = $3,000 × (1 + 0.052/1)⁴
= $3,697.47
I = $3,697.47 - $3,000
= $697.47
So Orlando will pay $697.47 in interest using compound interest.
Therefore, Orlando should choose simple interest method and he will owe $1.47 less using that method.
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Please help!!
Solve the equation by factoring
IF YOU HELP ILL GIVE YOU BRAINLY PLEASE!!
Answer:
part a:
x lengths = 6
unit lengths = 2
part b:
6x+2
Step-by-step explanation:
You add the like terms, in this case, there are 6 x, so we have 6x, and two 1s, so 1+1= 2, and since 6x and 2 are not like terms, we can't add them, making our answer 6x+2
Answer:
Im past this subject, so this is what I remember. There are six x lengths, and I believe there are 2 NOT 8 unit lengths. For B the answer is 6x+2. Dont worry about the Brainly.
Step-by-step explanation:
determine a region whose area is equal to the given limit. do not evaluate the limit.
The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.
What is a region whose area is equal to the given limit?Generally, the equation for the limit is mathematically given as
\($\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}$.\)
The goal is to locate the zone whose area corresponds to the value supplied by the limit.
The definite integral of a function is what is used to compute the area of that function that is underneath its graph.
The limit,
\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f(a+i \cdot \Delta x) \Delta x\)
where\($\Delta x=\frac{b-a}{n}$\) and \($x_{i}=a+i \Delta x$\) for the interval $[a, b]$, is equivalent to the integral
\(\int_{a}^{b} f(x) d x .\)
The given limit can also be written as
\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right)} i \cdot \frac{4}{n} .\)
In this limit, \($\Delta x=\frac{4}{n}$\). It can be observed that\($f(a+i \Delta x)=\sqrt{1+\left(\frac{4}{n}\right)} i$\) which implies that \($a=1$ and $f(x)=\sqrt{x}$.\)
Solve the \($\Delta x=\frac{b-a}{n}$\)equation for as follows:
\(\begin{aligned}\frac{4}{n} &=\frac{b-1}{n} \\4 &=b-1 \\5 &=b\end{aligned}\)
Therefore, the specified limit may be expressed as an integral as follows:
\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right) i} \cdot \frac{4}{n}=\int_{1}^{5} \sqrt{x} d x\)
Therefore, the limit that has been provided designates the area of the graph of "sqrt(x)" on the interval.[1,5]
However, none of the available choices are compatible with this choice. So, consider
\(a=0, f(x)=\sqrt{1+x}$ and $\Delta x=\frac{4}{n}$.\)
Find the value of $b$ as:
\($$\begin{aligned}\frac{4}{n} &=\frac{b-0}{n} \\4 &=b\end{aligned}$$\)
Find the value of x_{i} as:
\(\begin{aligned}&x_{i}=0+\frac{4}{n} i \\&x_{i}=\frac{4}{n} i\end{aligned}\)
$$
Thus, the integral \($\int_{0}^{4} \sqrt{1+x} d x$\) can be expressed using the equation \($\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$\)
\(\begin{aligned}\int_{0}^{4} \sqrt{1+x} d x &=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\frac{4 i}{n} \frac{4}{n}} \\&=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}\end{aligned}\)
In conclusion, The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.
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CQ
The complete Question is attached below
A number is 2 /5 times another number. Their sum is 70. Find the numbers.
Answer:
50,20
Step-by-step explanation:
let the two numbers be x and y respectively.
According to the question,
y=2/5 times of x
Or,
y= 2x/5 ..........(1)
Again,
or, x+y=70
or, x+2x/5=70
or, (5x+2x)/5=70
or, 7x=350
therefore x=50
putting the value of y in equation (1)
y=2x/5
y= (2×50)/5
therefore, y=20
Answer:
x = 175
Step-by-step explanation:
given:
A number is 2 /5 times another number. Their sum is 70.
find: the numbers (coefficient)
solution:
cross multiply
2 ( x ) = 70
5
2 (x) = 70 (5)
2 (x) = 350
x = 350
2
x = 175
check:
2 ( x ) = 70
5
2 ( 175 ) = 70
5
350 = 70
5
70 = 70
What is the value of x
Answer: your answer is 36.3 cause it's half of 72.6.
Step-by-step explanation:
According to a U.S. news poll, 38% of students in the class of 2013 had done an internship during their time as an undergraduate student. Dana is interested in finding out whether students at her university had an internship rate that was higher than the national average. She obtained a list of 25 randomly selected students from the population of all students at her university by requesting this information from the university’s institutional research office. She collected the responses and calculated that the proportion for her university was 43%. Which one of the following statements about the z-test is correct?
It is not safe to use the z-test for p, since the sample is not a random sample from the entire population (or cannot be considered as one).
It is not safe to use the z-test for p, since n * (1 ? po) is not large enough.
It is safe to use the z-test for p.
It is not safe to use the z-test for p, since n * po is not large enough.
A national poll by the Institute for College Access and Success showed that in 69% of college graduates from public and nonprofit colleges in 2013 had student loan debt. Dr. Blackman wanted to find out if her public nonprofit university had a lower proportion of students who graduated with student loan debt in 2013.
For this survey, the null hypothesis was that the proportion of students with graduated with student loan debt equals 69% and the alternative hypothesis is that the proportion with student loan debt does not equal 69%. The significance level for this test was 0.05.
The results of the hypothesis test of the new survey showed a p-value of 0.039.
Which of the following statements is correct? Check all that apply.
The results were statistically significant.
The results were not statistically significant.
The null hypothesis should be rejected.
The null hypothesis should be accepted.
The null hypothesis cannot be rejected.
Answer: The null hypothesis should be accepted and The results were not statistically significant
Step-by-step explanation:
Answer the question below.
Answer:
1247.03
Step-by-step explanation:
if £1=$1.35
?=$125(crisscross them to get an answer.)
$125×£1÷$1.35=£92.59
if £1=$1.35
?=$6(crisscross to get an answer.)
$6×£1÷$1.35=£4.44
so you add them all up
£1150+£4.44+£92.59= £1247.03
an integer multiplied by an integer is an integer.
a. true
b. false
The statement "An integer multiplied by an integer is an integer" is true.
An integer is a whole number that can be positive, negative, or zero. When you multiply two integers, the result is also an integer. For example, if you multiply 3 and 4, you get 12, which is an integer.
This property is one of the defining characteristics of the integers. It means that the integers form a closed set under multiplication. In other words, when you multiply any two integers, you always get another integer. This is not true for all numbers, such as fractions or decimals.
The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. It is represented by the symbol “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}.
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The square of a number I see equal to two less than three times the number. What are two possible values of the number? A. 1,2 B. -1,2 C. 1,-2 D. -1,-2 E. 2,3
Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
\(x^2 = 3x - 2\)
Now let us solve for x;
\(x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A\)
* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.
Please help me ASAP , thank you
Give the basic units that are used in surveying for length, area, volume, and angles in (a) The English system of units. (b) The SI system of units.
Answer: (a) The English system of units used in surveying:
Length: The basic unit of length is the foot (ft).
Area: The basic unit of area is the square foot (ft²).
Volume: The basic unit of volume is the cubic foot (ft³).
Angles: The basic unit of angles is degrees (°).
(b) The SI (International System of Units) system of units used in surveying:
Length: The basic unit of length is the meter (m).
Area: The basic unit of area is the square meter (m²).
Volume: The basic unit of volume is the cubic meter (m³).
Angles: The basic unit of angles is the degree (°) or the radian (rad).
It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.
Step-by-step explanation:
Find the x - and y -intercepts of the graph of the function f(x)=−2|x+5|+2 . Enter your answers as points, (a,b). Enter the x -intercepts in order of increasing x -value. If there are no x -intercepts, enter NA in both answer areas.
The given function is
f(x) = - 2|x+5| + 2
The x intercept is the value of x when f(x) = 0
Substituting f(x) = 0 into the function, we have
0 = - 2|x+5| + 2
Subtract 2 from both sides
0 - 2 = - 2|x+5| + 2 - 2
- 2 = - 2|x+5|
Divide both sides by - 2. It becomes
- 2/- 2 = - 2|x+5|/- 2
1 = |x+5|
x + 5 = 1 or x + 5 = - 1
x = 1 - 5 or x = - 1 - 5
x = - 4 or x = - 6
x intercepts are x = - 6, x = - 4
Writing the x intercepts as points, they are
(- 6, 0) and (- 4, 0)
The y intercept is the value of f(x) when x = 0
substituting x = 0 into the function, we have
f(0) = - 2|0+5| + 2
f(0) = - 2|5| + 2 = - 2(5) + 2 = - 10 + 2
f(0) = - 8
y intercept = (0, - 8)
select all the expressions that equal.. *see picture for problem*
Answer:
Step-by-step explanation:
oknjbgfkdfrgn jnfbfl
help me please explain is not needed but would be appreciated
Answer:
B = 18°Step-by-step explanation:
To find angle B we use tan
tan ∅ = opposite / adjacent
From the question
AC is the opposite
BC is the side adjacent to angle B
So we have
tan B = AC / BC
tan B = 6/9
tan B = 1/3
B = tan-¹ 1/3
B = 18.43°
B = 18° to the nearest hundredth
Hope this helps you
A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue
a triangle is the shape used to represent the components of total health. rue or false
A triangle is a shape used to represent the components of total health. True
it takes 52 minutes for 5 people to paint 5 walks. how many minutes does it take 20 people to paint 20 walks
Answer:
52min
Step-by-step explanation:
5 people..............5 walls............52 min
1 people...............5 walls...........52 x 5=260 min
1 people................20 walls.........260 x 4 =1040 min
20 people................20 walls........1040:20=52 min
Answer:
116
Step-by-step explanation:
maybe don't try this i could be wrong.
Copper is a metal.
At room temperature copper is a strong solid.
Give two other properties of copper that show it is a metal.(pleez help ver urgent
Answer:
ductile
Step-by-step explanation:
Two other properties of copper that show it is a metal are malleable and ductile.
What is a metal?A metal is a substance that exhibits a better surface when properly processed, refined, or shattered, and transports warmth and electricity rather well. Generally speaking, metals generally malleable and ductile. These characteristics are the outcome of the metallic link that exists here between metal particles or atoms.
This suggests that the metal is ductile, malleable, and a superb energy and heat transmitter. It can be cleaned to a bright gloss and is smoother than zinc.
Unlike gold and silver, it is a member of group Ib on the regular chart. The chemical stability of copper is minimal. The metal when presented at room temperature will be in the solid phase.
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cans of regular coke are labeled as containing . statistics students weighed the contents of randomly chosen cans, and found the mean weight to be ounces. assume that cans of coke are filled so that the actual amounts are normally distributed with a mean of and a standard deviation of . find the probability that a sample of cans will have a mean amount of at least .
the probability of the event that a sample of 5 cans will have a meaningful amount of at least 12.13 oz is 0.0078
We are provided with the information that cans of coke are filled in the account of having normal distribution, with the provided means which is 12.00 oz and the standard deviation of 0.12 oz and the sample size is
n= 5.
let X be the sample mean, so the probability will be :
P(X\(\geq\) 12.13) = 1- P(X<12.13)
=1- P(X-(μ/(σ/\(\sqrt{n}\))) < (12.13 -12.00)/(0.12/\(\sqrt{5}\)))
= 1- P(z<2.42)
= 1-0.9922
=0.0078
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Cans of regular Coke are labeled as containing 12 oz. Statistics students weighted the content of 5 randomly chosen cans, and found the mean weight to be 12.13. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.12 oz. Find the probability that a sample of 5 cans will have a mean amount of at least 12.13 oz.
Boris spent $12 on the fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?
Answer:
15%
Step-by-step explanation:
$80 . . . 100%
$12 . . . x%
x= 12*100/80=15
You had a bag of fruit snacks that you shared with 2 friends. Each of you got no fewer than 6 fruit snacks. The inequality x+326 models this situation.
Solve the inequality to find the number of fruit snacks that were in the bag.
There were no fewer than []
fruit snacks in the bag.
The inequality to find the number of fruit snacks that were in the bag is
x >= 15
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given ,
You had a bag of fruit snacks that you shared with 2 friends. Each of you got no fewer than 6 fruit snacks.
Given expression , x/3 >= 5
Multiply 3 on both sides
we get,
x/3 * 3 >= 5*3
x >= 15
So the inequality holds x >= 15 .
Hence, The inequality to find the number of fruit snacks that were in the bag is x >= 15
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What is the value/expression for the side length highlighted in green.
Answer:
15
Step-by-step explanation:
The parallel lines divide the transversals proportionally.
The green length = 24 - c , then
\(\frac{24-c}{20}\) = \(\frac{c}{12}\) ( cross- multiply )
12(24 - c) = 20c ← distribute left side
288 - 12c = 20c ( add 12c to both sides )
288 = 32c ( divide both sides by 32 )
9 = c
Then
green length = 24 - 9 = 15