Answers
Answer:
A. Distance KL = 7.36 m
B. Height ML = 4.25 m
C. The maximum height is 6.96 m
Step-by-step explanation:
A. Determination of distance KL
Hypothenus = KM = 8.5 m
Angle θ = 30°
Adjacent = KL =?
Cos θ = Adjacent / Hypothenus
Cos 30 = KL / 8.5
0.866 = KL / 8.5
Cross multiply
KL = 0.866 × 8.5
KL = 7.36 m
Thus, the distance is 7.36 m
B. Determination of height (ML)
Hypothenus = KM = 8.5 m
Angle θ = 30°
Opposite = ML =?
Sine θ = Opposite /Hypothenus
Sine 30 = ML /8.5
0.5 = ML / 8.5
Cross multiply
ML = 0.5 × 8.5
ML = 4.25 m
Thus, the height is 4.25 m
C. Determination of the maximum height.
Hypothenus = KM = 8.5 m
Angle θ = 55°
Opposite = ML =?
Sine θ = Opposite /Hypothenus
Sine 55 = ML /8.5
0.8192 = ML / 8.5
Cross multiply
ML = 0.8192 × 8.5
ML = 6.96 m
Thus, the maximum height is 6.96 m
Related Questions
3. Jenny bought 7 jackets and 10 winter hats. The jackets cost $8 dollars each, and the winter hats cost $4 each. Write an equation to show the total cost c, in dollars, of the items Jenny bought.
Answers
Answer:
7(8)+10(4)=c
Step-by-step explanation:
Hope this helped!
In the coordinate plane, what is the distance between (-2, 5) and (8, 5) ?
Answers
Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X= the sale price (in thousands of dollars) for the selected car. Find P(X>25), left parenthesis, X, is greater than, 25, right parenthesis. You may round your answer to two decimal places.
Answers
Answer:
P(X > 25) = 0.69
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.
This means that [tex]\mu = 26, \sigma = 2[/tex]
Find P(X>25)
This is 1 subtracted by the pvalue of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 26}{2}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a pvalue of 0.31
1 - 0.31 = 0.69.
So
P(X > 25) = 0.69
Answer:
Step-by-step explanation:
i do not understand this please help me
Answers
Answer: Plane AEF
Step-by-step explanation: Parallel means equal or same as. If you follow the letters BCD you can see that it sorta makes a triangle shape. So if you follow the answer choices you could see that AEF is the only one that does what BCD does if that makes sense :)
HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL
Answers
s-10
taking 10 away from s is really just subtracting 10 from s.
:)
nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número
Answers
Line A has a slope of -4/3. Line B is perpendicular to Line A. What is the slope of Line B?
Answers
Answer:
The answer is 3/4
Step-by-step explanation:
If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.
A garden is shaped like a rectangle whose perimeter is 260 ft. The length is 9 times as long as the width. Find the length and the width
Answers
Answer:
The length is 117 ft and the width is 13 ft.
Step-by-step explanation:
From the question itself, we can write down the following equations...
(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)
L = 9W
and
P = 2L + 2W
Now, we substatute the "L" value and get...
P = 2L + 2W
260 = 2(9W) + 2W
260 = 20W
W = 260 / 20
W = 13
Since we know the width we can now find the length by using the very first formula...
L = 9W
L = 9(13)
L = 117
Therefore, the length is 117 ft and the width is 13 ft.
2
7
Kami received 2,300 votes in
a town election. She
received 190 more than of the total
number of votes. Determine the
total number of residents that voted
in the town election.
5
-
Answers
Answer:
2490
Step-by-step explanation:
2300 votes plus 190 votes will be 2490 vote .one person is equals to one vote
Which equation is correct?
75 × 4 = 70 + 5 × 4
75 × 4 = 70 × 4 + 5 × 4
75 × 4 = 700 × 4 + 5 × 4
75 × 4 = 70 × 4 + 5
Answers
75 x 4= 70 + 5 x 4
Which ones are correct?
Answers
Answer:
120 x 10^3
7 x 10^5
9 x 10^4
Step-by-step explanation:
Suppose that a survey was taken of 320 people and each person was asked if they approved or disapproved of the president's actions during the government shutdown. One hundred eighty people said that they approved. Which of the following statements correctly describes how the confidence interval for the population proportion of people that approved the President's actions during the government shutdown?
A) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.
B) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.
C) There are not 15 successes and 15 failures. A confidence interval can not be done.
D) There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (phat +/- z * sqrt(p*(1-p)/n) with no additional values added.
Answers
Answer: I believe it’s C
Step-by-step explanation: I hope i’m right
8 inches is which fraction of 1 yard?
Answers
Answer:
8/36 yard or 2/9
Step-by-step explanation:
What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10
Answers
Answer:
x - 2 and x + 5
Step-by-step explanation:
Given Area Of rectangle
= x² + 3x - 10
= x² + ( 5 - 2)x - 10
=x² + 5x - 2x - 10
= x ( x + 5 ) - 2 ( x + 5 )
= ( x + 5 ) ( x - 2 )
Hope it will help :)❤
Answer:
B. x-2 and x+5
Step-by-step explanation:
13x² -7x -8 how to solve this
Answers
Answer:
132x-8
Step-by-step explanation:
I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.
It's a simplification I don't know if you needed that.
Amr sells 6 pounds of turkey for $ 48.75. What is the unit price ?
Answers
Answer:
the unit price would be 8.125
Step-by-step explanation:
Question 9 of 10
What is the solution to this equation?
4(x - 8) + 10 = -10
A. X = 2
B. x = 5
C. X = 4
D. X = 3
Answers
Answer:
D.
Step-by-step explanation:
Find the equation of a line that passes through the point (-2,4) and has a gradient of -3.
Leave your answer in the form
y
=
m
x
+
c
Answers
Equation of a line is y = mx +c
m is the gradient, which is given as -3 so now you have:
y = -3x + c
Replace y and x with the given point and solve for c:
4 = -3(-2) + c
Simplify:
4 = 6 + c
Subtract 6 from both sides:
c = -2
The equation becomes:
y = -3x-2
we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10
Answers
Answer:
try symbolab calculator it will give you a step by step explanation
Answer:
x= -2
y= 12
Step-by-step explanation:
5x + y = 2..................eqn 1
x + y = 10 ..................eqn 2
from eqn 1
5x + y = 2, u substitute by making 'y' the subject
y = 2 - 5x .................eqn 3
put eqn 3 into eqn 2
x + y = 10
x + 2 - 5x = 10
x - 5x = 10 - 2
-4x = 8
x = 8 / -4
x = -2
put x = -2 into eqn 1
5x + y = 2
5(-2) + y = 2
-10 + y = 2
y = 2 + 10
y = 12
A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88
Answers
Answer:
135.87
Step-by-step explanation:
7% of 126.99 is 8.8893
add 126.99 to 8.8893
you get ~135.87
Answer:
8.89
Step-by-step explanation:
Take the cost of the item times the tax rate to find the amount of tax
126.99 * 7%
Change to decimal form
126.99 * .07
8.8893
Round to the nearest cent
8.89
a cuántos gramos equivale y 250 gramos
Answers
Answer:
Me puedes dar más información?...Pliss
Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.
Step-by-step explanation:
What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answers
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
Mrs. Java invests $4000 at 10% annual return and $6000 al 12% annual return. How much should she invest at 15% return so that her total annual retum is 13% of the total amount she has invested?
Answers
Answer:
Step-by-step explanation:
Interpreting as: 6000
Input:
6000
Number line:
Number line
Number name:
six thousand
Roman numerals:
\!\(\("V"\)\&_\)M
Binary form:
1011101110000_2
Prime factorization:
2^4×3×5^3
Residues modulo small integers:
m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6
Properties:
6000 is an even number.
6000 is a number that cannot be written as a sum of 3 squares.
6000 has the representation 6000 = 3^5 5^2 - 75.
6000 divides 49^10 - 1.
Character code 6000:
| Tagbanwa letter sa
Unicode: U+1770 (decimal: 6000)
Mathematica: \:1770
(Tagbanwa)
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answers
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?
Answers
Answer:
450
Step-by-step explanation:
60 x 7.5=450
Simplify.
(-216) ^-1/4
Answers
Answer:14 or 0.25
Step-by-step explanation:
It’s basically already written there but decimal form is 0.25
help i need help ASAP
Answers
Answer:
That is the halfway mark between -6 and -7.
Step-by-step explanation:
-4 - 2.5
-6.5, or is -6 1/2.
That is the halfway mark between -6 and -7.
A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?
Answers
Answer:
24.1cm
Step-by-step explanation:
1a)Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answer
17 1/7
1b)How much time does it take him to complete his morning walk?
Answers
9514 1404 393
Answer:
17 minutes 8.6 seconds (17 1/7 min)2 hours 51 minutes 26 seconds (2 h 51 3/7 min)Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
__
a) For 1 km, the time in hours is ...
time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h
In minutes, that is ...
(60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km
__
b) The time for 10 km is 10 times the time for 1 km, so will be ...
(10)(2/7 h) = 20/7 h = 2 6/7 h
In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.
The time for 10 km is 2 hours 51 3/7 minutes.
find the GCF 40,50,60
Answers
Answer:
10
Step-by-step explanation: