Answer:
Step-by-step explanation:
tan(16)=125/a
tan(16)=35.8 (DC)
tan(7)=125/a
tan(7)=15.3
35.8-15.3=20.5
Sorry if that's incorrect, my best is 20.5 feet.
======================================================
Work Shown:
Let
x = length of AD in feet
y = length of DC in feet
x and y are positive real numbers.
For now, focus on triangle BCD. Ignore point A and its associated angle.
tan(angle) = opposite/adjacent
tan(D) = BC/DC
tan(16) = 125/y
y*tan(16) = 125
y = 125/tan(16)
y = 435.926805480113
y = 435.926805
The value of y is approximate
Now focus on triangle ABC. Ignore point D and its associated angle.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = BC/(AD+DC)
tan(7) = 125/(x + y)
(x+y)*tan(7) = 125
x*tan(7) + y*tan(7) = 125
x*tan(7) = 125 - y*tan(7)
x = ( 125-y*tan(7) )/( tan(7) )
x = ( 125-435.926805*tan(7) )/( tan(7) )
x = 582.116498496824
x = 582
The distance from A to D is approximately 582 feet.
A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag without replacement, what is the probability that all three will be the same color? Express your answer as a common fraction
Answer:
11/120Step-by-step explanation:
Red = 3Yellow = 5Blue = 2Possible options would be red or yellow as only two blue marbles.
Probability of 3 red:
3/10*2/9*1/8 = 1/120Probability of 3 yellow:
5/10*4/9*3/8 = 1/12Probability of same three is:
1/120 + 1/12 = 11/120There are 32 Drama DVD's. The ratio of Drama DVD's to Mystery DVD's is
8:5. How many Mystery DVD's are there?
Answer:
20 Mystery DVD’s
Step-by-step explanation:
32/8=4
4*5=20
Answer:
There are 20 Mystery DVD's.
Step-by-step explanation:
Since the ratio of Drama to Mystery is 8:5, then we can conclude that 32:x is another equivalent form of the ratio, given that 32 represents drama, and x represents the unknown number of mystery.
Set up the ratios as 8/5 as one fraction, and 32/x as another, but make them equal each other. Cross multiply the numerators and denominators, then you will get 8x=160
divide both sides to solve for x.
x=20
PLS HELP I ONLY HAVE HR
Question 4 (4 points)
(04.02)
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the cost of one bag of candy? (4 points)
a
$2
b
$4
c
$0
d
$6
Answer:
a $2
Step-by-step explanation:
One of the ordered pairs were (1, 2) which meant that at 1 bag of candy, the total cost in dollars is 2 based on the labelling of the x- and y-axis. Thus, the cost of one bag of candy is $2.
Mr. Jones used a fair spinner divided into 4 sections as shown below. They spun the spinner 50 times and recorded the results in the table. What is the difference between the theoretical and probability of spinning a 1 and the experimental recorded in the table?
Answer:
The theoretical probability would be 25% or 1/4 because there are four sections but in the example the probability of a one being spun was 24%
Step-by-step explanation:
simplify or solve the problem
4 ( 3x - 6 ) = 12
a) -3
b) 0
c) 3
help neededddd:))))))....
Answer:
Your answer is 3.
Step-by-step explanation:
I hope this helped.
it want me to type here sooo um brainleist for the one who gibs the correct answer!!
Answer:
70 + 95 = 5(14 + 19)
Step-by-step explanation:
To factor the expression, 70 + 95, using the GCF, take the following steps:
✔️Find the prime factors of each number:
Prime factors of 70 = 2 × 5 × 7
Prime factors of 95 = 5 × 19
Multiply the factors that both numbers have in common to get the GCF.
This, both number have only one factor in common which is 5.
Therefore, the GCF of 70 and 95 is 5.
✔️Factoring the experession given using the GCF, we have:
70 + 95 = 5(14 + 19)
CAN SOMEONE HELP ME PLS
translate this sentence to an equation
38 is the product of Malik's score and 2. Use the variable m to represent Malik's score.
Answer:
Step-by-step explanation:
m * 2 = 38
Equation: 2m = 38
Solution:
2m = 38
m = 38/2
m = 19
Malik's score = 19
Answer:
Given :-38 is the product of Malik's score and 2. Use the variable m to represent Malik's score
To Find :-Marks scored by Malik
Solution :-The equation will be
[tex] \frak{2m = 38}[/tex]
Total marks
[tex] \tt \: m \: = \dfrac{38}{2} [/tex]
[tex] \tt \: m \: = 19[/tex]
The marks scored by Malik is 19
Connections Academy Geometry10A semester exam. Does anyone have the answers im 1% away from passing.
Answer:
probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)
Step-by-step explanation:
PLS HELP I ONLY HAVE 30 MINS
Question 5 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
C. It is not proportional because it is not a straight line.
Step-by-step explanation:
You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.
------> The Answer Is C <------
Hope this helps have a good day :D
Find the equation of the linear relationship
answer is 10---- i think
Answer:
y = -2x + 170
Step-by-step explanation:
(30, 110) (40, 90) y = mx + b
x1 y1 x2 y2 90 = -2 (40) + b
90 - 110 = -20 = -2 90 = -80 + b
40 - 30 10 +80 +80
170 = b
really hope this helps :)
Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8
Answer:
y-2=1/8(x+5)
Step-by-step explanation:
1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.
Since it's -8, the opposite of it is 1/8.
2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.
y-2=1/8(x+8)
And that's your answer
Estimate:
81 - 11.70 =
Answer:
the answer ur looking for
81 −11.7 ≈ 70
Two liabraries donated to a local school. One library donated 786 books and the other library donated 1245 books. The school divided the books evenly among 11 classrooms. Estimate the number of books each classroom received. Check if the answer is reasonable.
what is 62 divided by 17 plus 29
I will mark brainliest
Answer:
32.647
Step-by-step explanation:
Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?
Answer: $456
Step-by-step explanation:
$504/42 hr = 12 per hour
4 hours = $48
$504 - $48 =
= $456
Answer:
He earned $456
Step-by-step explanation:
504/42=12
42-4=38
38*12=456
Good Luck!!!!
2000x5000000000000000000000000000
Answer:
your answer is 1e+31
Step-by-step explanation:
Answer:
1e+31
Step-by-step explanation:
Need brief explanation about why false is correct
We are given the equation:
(a + b)! = a! + b!
Testing the given equation
In order to test it, we will let: a = 2 and b = 3
So, we can rewrite the equation as:
(2+3)! = 2! + 3!
5! = 2! + 3!
We know that (5! = 120) , (2! = 2) and (3! = 6):
120 = 2 + 6
We can see that LHS ≠ RHS,
So, we can say that the given equation is incorrect
Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 30 flowers. How many daisies should she plant?
Answer:
18 Daisies and 12 Carnations
Step-by-step explanation:
The total amount of flowers adds to be 30 therefore the amount of daises plus the amount of carnations should equal 30 (d+c=30). Then your ratio of daises to carnations is 3 to 2. Which means that you are going to have three daisies for every 2 carnations.
Which number is bigger: 1.58 or 1.025
Answer:
1.58 is bigger than 1.025
Step-by-step explanation:
Answer:
1.58 is greater
Step-by-step explanation:
because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0
If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/5
and X=20
A. Y=25/4x
B. Y=116/5x
C. Y=4/25x
D. Y=64x
Answer:
C. Y=4/25x
Step-by-step explanation:
If y varies directly as x, tis is expressed as;
y ∝ x
y = kx
k is the constant of proportionality
Goven
y = 16/5 and x = 20
16/5 = 20k
16 = 100k
k = 16/100
k = 4/25
Substitute k = 4/25 into the original equation
y = kx
y = 4/25 x
Hence the required expression is y = 4/25 x
What is 37% of 600?
ANSWER CORRECT
Answer:
the answer is 222
Answer:
222
Step-by-step explanation:
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 600, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:
37/100 = X/600
X/600 = 37/100
X*600/600 = 37*600/100
X = 22200/100
X = 222
If a data set has mean of 150 and a standard deviation of 25, what is the z-score of an element with a value of 250?
Answer:
Z-score is 4
Step-by-step explanation:
N(150, 25^2)
Use z-score formula (can be found from internet with miu and sigma symbol)
[tex]z = \frac{250 - 150}{25} \\ z = \frac{100}{25} \\ z = 4[/tex]
Find the area of the circle. Use pi =3.14 and round to the nearest hundredth. R=14m
Answer:
615.75 or 616.0
Step-by-step explanation:
Let f be a continuous function on the interval [a, b]. Determine if the following statement is true or false. The expression lim f(xi") ax may lead to different limits if we choose the x * to be the left endpoints instead of midpoints. ni=1 Choose the correct answer below. O A. The statement is true. Each sum will be smaller when picking a left endpoint, so the limit will be smaller. OB. The statement is false. Any sample point can be chosen within the interval without affecting the limit. O C. The statement is true. The value of the function at the left endpoint is not the same as the value at the midpoint of the interval D. The statement is false. The value of the function at the left endpoint is the same as the value at the midpoint of the interval. w Click to select your answer
Answer:
The correct answer is B.
Step-by-step explanation:
We have the expression:
[tex]\displaystyle \lim_{n\to\infty}\sum_{i=1}^{n}f(x_i\, ^\star)\Delta x[/tex]
In this case, B is the correct answer.
B states that any sample point can be chosen without affecting the limit.
This is a true statement. Regardless of which point we choose for our sample point, since n approaches infinity, we will have infinite partitions.
Hence, this will not affect the sum of our expression.
A and C are false because we have infinite partitions, so the statements cannot be true. D is not true simply because the left-hand values do not have to be the same as the midpoint-values depending on the behavior of the function for [a, b].
A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
Yolanda deposited $2,130 into an account. She made no additional deposits or withdrawals. Yolanda earned 4.25% annual simple interest on the money in the account.
What was the balance in dollars and cents in Yolanda's account at the end of 4 years
Answer:
$2492.10
Step-by-step explanation:
Deposit amount = $2130Interest rate = 4.25% annual simpleTime = 4 yearsBalance at the end of 4 years:
$2130*(1 + 4*0.0425) = $2492.10SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!!
Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?
A.
Region B represents the students involved in sports only.
B.
Region B represents the students involved in sports and academic clubs.
C.
Region B represents the students involved in drama and sports.
D.
Region B represents the students not involved in academic clubs.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
Find the slope of the line (-4,4) (-3,-2)