Use the diagram to find the value of x to the nearest tenth of a foot.
a. 74.6 ft.
b. 5.3 ft.
c. 15.5 ft.
d. 73.3 ft.
Answers
Answer:
a
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] ( multiply both sides by x )
x × tan15° = 20 ( divide both sides by tan15° )
x = [tex]\frac{20}{tan15}[/tex] ≈ 74.6 ft ( to the nearest tenth of a foot )
Related Questions
can i get help please?? Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answers
Answer:
B
Step-by-step explanation:
Circumference is 3.14*d
Where d is the diameter.
3.14*8000
= 25120
The Earth has a circumference of 25120 miles approximately.
Answer:
B. 25,120 miles.
Step-by-step explanation:
Circumference = π * diameter
= 3.14 * 8000
= 25,120 miles.
.the difference of thirteen and six, multiplied by a number
Answers
Step-by-step explanation:
If n represents the number, then you get;
n(13-6) or n(7) or n * 7
1. Write the following in decimal form and say what kind of decimal expansione Suppose we want to
N.
non-terminating non-recurring lyi
many such numbers.
An example of such a number is 0.150150015000150000...
the previous section, yo
I number has a decimal
to represent it on the n
EXERCISE 1.3
1
nber line. We know t
13.
not
given
36
(iii) 4
11
8
So, let us look close
2
3
329
(vi)
mber line between 2 a
13
11
400
enam
s into 10 equal parts
2. You know that = = 0.142857. Can you predict what the decimal expansions of
rision as in Fig. 1.11 (
4 5 6
7'; right of 2 will repres
are, without actually doing the long division? If so, how?
ficulty in observing th
clear view of the san
Hint. Stuurth
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2
ond
Answers
Answer: ...
Step-by-step explanation:
In a random survey of 226 college students, 20% reported being "only" children (no siblings). The standard deviation is 2%.
Determine the confidence interval that is likely to contain the percent of all students nationwide who are only children.
Answers
Answer:
The confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
Step-by-step explanation:
Total number of students = n = 226
We are given that 20% reported being "only" children (no siblings).
Number of students being "only" children (no siblings) [tex]= 20\% \times 226=\frac{20}{100} \times 226=45.6\sim46[/tex]
So, x = 46
[tex]p=\frac{x}{n}=\frac{46}{226}=0.203[/tex]
Z at 95% is 1.96
Formula for confidence interval for sample proportion :
[tex]CI=p \pm Z \times \sqrt{\frac{p(1-p)}{n}}[/tex]
Substitute the values in the formula :
[tex]CI=0.203 \pm 1.96 \times \sqrt{\frac{0.203(1-0.203)}{226}}\\CI=(0.1505,0.2554)[/tex]
Hence the confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
The manager of a clothing store in the mall wants to collect data to find out customers' opinions of the brands of clothing sold at the store. Which group should he survey to collect the best data?
A.
twenty customers who asked to share their opinions of the clothing brands with the store manager
B.
twenty-five customers who visited the store but did not purchase any clothes
C.
thirty randomly selected customers who shopped at the clothing store
D.
forty randomly selected people in the mall parking lot
Answers
Answer:
c
Step-by-step explanation:
Its wouldn't be A since there are numbers bigger than 20 B is not correct since it said 25 people that did not buy any clothes so you would not get a good opinion its not D because out of the 40 people some could have not bought anything from the store. Its C because its the biggest number of people that actually shopped and got things from that store
Answer:
Answer:
c. Thirty randomly selected customers who shopped at the clothing store.
Step-by-step explanation:
What is 3/4 + 1/5 equal to?
Answers
Answer:
[tex]19/20[/tex]
Step-by-step explanation:
[tex]3/4+1/5[/tex]
[tex]15/20 + 4/20[/tex]
[tex]19/20[/tex]
Answer:
[tex] = \frac{19}{20} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} + \frac{1}{5} \\ \frac{15 + 4}{20} \\ = \frac{19}{20} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the sequences is an arithmetic sequence?
I need help!!!!
Answers
the answer is (A) is arithmetic
WILL MARK BRAINIEST ASAP PLEASE HELP!!!!!!!!!!!!!!11111 What is the coefficient of the c-term of the algebraic expression 14 a minus 72 r minus c minus 34 d? -34 -1 0 1
Answers
Answer:
The correct answer would be -1
Step-by-step explanation:
Answer:
-1 I believe
Step-by-step explanation:
Which is a better statistical question A:how many points per game did your team score? B:how many games did your team play this year?
Answers
Answer:
A
Step-by-step explanation:
B would be just a number, but for A you need to connect data points and actually do some statistics.
(would really, reallly appreciate the brainliest)
Answer:
A - how many points per game did your team score?
Guillermo is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis How many seconds after diving will Guillermo reach his lowest altitude?
Answers
Answer: 140
Step-by-step explanation:
Answer: 50
Step-by-step explanation:
Khan academy answer
Write the explicit formula for the sequence. Then find the fifth term in the sequence.
a1= 3, r=-3
Answers
Answer:
a) Explicit Formula : aₙ = 3. (-3)ⁿ⁻¹
b) Fifth term : a₅ = 243
Step-by-step explanation:
This sequence above is the Geometric sequence. The Geometric sequence is calculated using the formula
aₙ= a1.rⁿ⁻¹
where a1 = first term
r = common ratio
n = number of terms
From the above question, we are given
a1= 3, r=-3 and asked to find the explicit formula.
The explicit formula using the geometric sequence formula =
aₙ = 3. (-3)ⁿ⁻¹
b) The fifth term in the sequence is calculated as
aₙ = 3. (-3)ⁿ⁻¹
Where n = 5
a₅ = 3.(-3)⁵⁻¹
a₅ = 3.(-3)⁴
a₅= 243
Point A is the midpoint of side XZ and point B is the
midpoint of side YZ.
What is AX?
2 units
4 units
6 units
5x - 7
O 8 units
2x-2
X+1
B
A
Markandeur
Save and Exit
Et
Answers
Answer:
Option (2)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Point A is the midpoint of side XZ and point B is the midpoint of side YZ.
Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.
What is AX ?
2 units
4 units
6 units
8 units
From the figure attached,
XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.
By the theorem of midpoints,
AB = [tex]\frac{1}{2}\text{(XY)}[/tex]
Since AB = (x + 1) and XY = (5x - 7)
(x + 1) = [tex]\frac{1}{2}(5x-7)[/tex]
2x + 2 = 5x - 7
5x - 2x = 2 + 7
3x = 9
x = 3
Therefore, side AB = 3 + 1 = 4 units
Side XY = (5x - 7)
= 15 - 7
= 8 units
Side XA = 2(x - 1)
= 4 units
Therefore, Option (2) will be the answer.
What’s the error mica make?
Answers
Step-by-step explanation:
She should have added 2 to the 3, not 1 because on the right side, she added 1, but that was being multiplied by 2 so to balance the equation she should add 2 to the 3. Hope this helps!
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2 l plus 2 w equals 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. 10 in.
Answers
Answer:
7 in.
Step-by-step explanation:
When 7 in. is used this is what happens
2(7) + 2(w) = 16 in.
14 + 2w = 16 in.
Because the 7 in. option leaves room for the value of the width unlike the others.
Answer: 7 inches
Step-by-step explanation:
I took the test on this and scored 100%
Of the 650 students at westMoreland junior high ,80% will attend the field trip . How many students will attend the field trip ?
Answers
Answer:
520
Step-by-step explanation:multiply 650 by 80 amd then divide by 100
or simply multiply 650 by 0.8
520 number of students will attend the field trip.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that there are 650 students at westMoreland junior high.
80% of the students will attend the field trip.
We need to find the students will attend the field trip.
We need to find what is 80% of the 650.
firstly let us convert 80% to decimal by dividing 80 with 100.
80/100=0.8
Now multiply 0.8 with 650
0.8×650
Zero point eight × Six hundred fifty.
520
Hence, 520 number of students will attend the field trip.
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A gym offers three levels of membership based on the number of visits per month, as represented by the table. Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?
Answers
Answer:
graph one
Step-by-step explanation:
Let
x ----> the number of visit per month
y ----> the total cost
we know that
Observing the table
1) For the interval of x equal to ----> [0,12] (close circle both points)
The domain is all whole numbers greater than or equal to 0 visits and less than or equal to 12 visits
The value of y is
y=5x+15
For x=0 ----> y=$15
For x=12 ----> y=5(12)+15=$75
The range is the interval ----> [15,75] (close circle both points)
All real numbers greater than or equal to $15 and less than or equal to $75
2) For the interval of x equal to ---->(12,16] (open circle at left and close circle at right)
The domain is all whole numbers greater than 12 visits and less than or equal to 16 visits
The value of y is
y=4x+32
For x=12 ----> y=4(12)+32=$80
For x=16 ----> y=4(16)+32=$96
The range is the interval ----> (80,96] (open circle at left and close circle at right)
All real numbers greater than $80 and less than or equal to $96
3) For the interval of x equal to ---->(16,24] (open circle at left and close circle at right)
The domain is all whole numbers greater than 16 visits and less than or equal to 24 visits
The value of y is
y=3x+42
For x=16 ----> y=3(16)+42=$90
For x=24 ----> y=3(24)+42=$114
The range is the interval ----> (90,114] (open circle at left and close circle at right)
All real numbers greater than $90 and less than or equal to $114
please mark me brainliest!
The graph that represents the total monthly cost at the gym as a function of the number of visits in a month is shown by option A)
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Based on the number of visits each month, a gym provides three different levels of membership.
Let the monthly visits be 'a' and the overall expense be 'b'. The following will be the appropriate graph showing the total monthly cost of the gym as a function of monthly visits:
A) For the interval of a = [0,12]
The value of b is given by:
b = 5a + 15
when a = 0 in the above equation.
b = $15
when a = 12 in the above equation.
b = 60 + 15
b = $75
The interval of b = [15,75]
B)
For the interval of a = [12,16]
The value of b is given by:
b = 4a + 32
when a = 12 in the above equation.
b = 48 + 32
b = $80
when a = 16 in the above equation.
b = 64 + 32
b = $96
The interval of b = [80,96]
C)
For the interval of a = [16,24]
The value of b is given by:
b = 3a + 42
when a = 16 , we get
b = 48 + 42
b = $90
when a = 24 in the above equation , we get
b = 72 + 42
b = $114
The interval of b = [90,114]
Hence , the graph is represented by graph A
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Factor the given quadratic function x2 + 9x = 36.
Answers
Answer:
(x + 12)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0[/tex]
La base de una cartulina rectangular mide 8 cm de altura si le recortamos 3 cm a su altura el area de la nueva cartulina seria 126 cm calcula las dimenciones de la cartulina inicial
Answers
Answer:
[tex]w=8cm\\h=18.75cm[/tex]
Step-by-step explanation:
Let:
[tex]w=Width\\h=Initial\hspace{3}height\\h_m=Modified\hspace{3}height\\\\Where:\\\\h_m=h-3[/tex]
The area of the cardboard can be calculated using the formula to find the area of a rectangle:
[tex]A=w*h[/tex]
The area of the new cardboard would be:
[tex]A=w*h_m\\\\Where:\\\\w=8\\h_m=h-3\\A=126[/tex]
So:
[tex]126=8*(h-3)\\\\126=8h-24[/tex]
Solving for h:
[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]
Therefore, the dimensions of the initial cardboard are:
[tex]w=8cm\\h=18.75cm[/tex]
Translation:
Sea:
[tex]w=Ancho\\h=Altura\hspace{3}inicial\\h_m=Altura\hspace{3}modificada\\\\Donde:\\\\h_m=h-3[/tex]
El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:
[tex]A=w*h[/tex]
El área de la nueva cartulina sería:
[tex]A=w*h_m\\\\Donde:\\\\w=8\\h_m=h-3\\A=126[/tex]
Entonces:
[tex]126=8*(h-3)\\\\126=8h-24[/tex]
Resolviendo para h:
[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]
Por lo tanto, las dimensiones de la cartulina inicial son:
[tex]w=8cm\\h=18.75cm[/tex]
Find the perimeter of a triangle with side lengths of
√80
√20, and √45
Answers
The exact answer is=
20.125
Which table represents exponential growth?
Answers
Answer:
You haven't linked any tables?
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 7% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 20100 dollars?
A= P(1 + -]nt
Answers
Answer:
t=16.2 years
Step-by-step explanation:
A=p(1+r/n)^nt
A=$20100
P=$6500
r=7%=0.07
n=4
t=?
t=ln(A/P)/n {ln(1+r/n)}
=ln(20100/6500) / 4{ln(1+0.07/4)}
=ln(3.0923)/4{ln(1+0.0175)}
=ln(3.0923)/4{ln(1.0175)}
=1.1289/4(0.0174)
=1.1289/0.0696
=16.23
To the nearest tenth
t=16.2 years
Question of the day
Fill in the table of values below for the equation y=x+3
Х
у
Answers
x | y
———-
0 | 3
1 | 4
Slope: 1
Y-intercept: 3
Answer:
yuuurrrppp
Step-by-step explanation:
Each person in Plimouth was given a plot of land 16.7 m wide by 40.8 m long. The Alden family had four members. What was the square area of the plot of land they were allotted?
Answers
Answer:
They were allotted 2725.44 meters² of land.
Step-by-step explanation:
Well a member of the Alden family gets 16.7 meters×40.8 meters or 681.36 meters². Now since there are 4 of them, we multiply how much land one Alden family gets by 4 members.
681.36 m²×4 people = 2725.44 meters²
Answer:
2,725.44 square meters
Step-by-step explanation:
We can do all of the necessary math at once:
(16.7 m)(40.8 m)(4 persons) = 2,725.44 square meters
Make x the subject of Y=4x+3
Answers
The value of x from the expression is,
⇒ x = 1/4 (Y - 3)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ Y = 4x + 3
Now, We can solve the expression for the value of x as;
⇒ Y = 4x + 3
Subtract 3, we get;
⇒ Y - 3 = 4x + 3 - 3
⇒ Y - 3 = 4x
Divide by 4;
⇒ (Y - 3) / 4= 4x/4
⇒ (Y - 3)/4 = x
⇒ x = 1/4 (Y - 3)
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Is 6.584 a rational
number?
Answers
Answer:
Step-by-step explanation:
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.584, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction: 6584 / 1000
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 6584 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following: 823 / 125
Therefore, 6.584 as a fraction is as follows: 823 / 125
Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow?
Answers
Answer:
(n-m)/m * 100%
Step-by-step explanation:
The original amount is m
The new amount is n
Take the new amount and subtract the original amount
(n-m)
Divide by the original amount
(n-m)/m
Multiply by 100 %
(n-m)/m * 100%
Answer:
(n-m)/m*100
Step-by-step explanation
trust me its the answer i checked with rsm math homework and it was correct
Solve 2y - 3 = 4y +6.
I
y=
Answers
Answer:
-9/2
Step-by-step explanation:
Begin by subtracting 2y from both sides
(2y - 2y) - 3 = (4y - 2y) + 6
-3 = 2y + 6
Then, subtract 6 from both sides
(-3 - 6) = 2y + (6 - 6)
-9 = 2y
Finally, divide by 2 on each side
(-9/2) = (2y/2)
y = -9/2
determine the slope of a line that passes through A(-4, 7) and B(6,3)
Answers
Answer:
-2/5
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (3-7)/(6 - -4)
= -4/(6+4)
- 4/(10)
= -2/5
Answer:
[tex]m=\frac{-2}{5}[/tex]
Step-by-step explanation:
Use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the numbers (coordinates) given, like so:
[tex]m=\frac{3-7}{6+4}[/tex]
[tex]m=\frac{-4}{10}[/tex]
Simplify:
[tex]m=\frac{-2}{5}[/tex]
Need help what’s the solution for b^2-14b=0
Answers
Answer:
b = 0 b = 14
Step-by-step explanation:
b^2-14b=0
Factor out a b
b(b-14) = 0
Using the zero product property
b =0 b-14=0
b = 0 b = 14
You are studying for your final exam of the semester. Up to this point, you received 3 exam scores of 81%, 62%, and 94%. To receive a grade of B in the class, you must have an average exam score between 80% and 89% for all 4 exams including the final. Find the widest range of scores that you can get on the final exam to receive a grade of B in the class. [80,81] [76,100] [83,100]
Answers
To get an average score of 89% (out of four exams), a total of 4*89%=356% is needed, so the maximum required for the 4th test is 356-(75+97+60)=124, which is impossible.
So the next exam grade must range between 88 and 100 to get a grade b in the class.
