Answer:
10
Step-by-step explanation:
LN = 4 + x - 8 = x - 4
LS = 3 + x - 5 = x - 2
By intersecting secants theorem:
[tex]LM\times LN = LK\times LS \\ \\ 4(x - 4) = 3(x - 2) \\ \\ 4x - 16 = 3x - 6 \\ \\ 4x - 3x = 16 - 6 \\ \\ x = 10[/tex]
If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Answer:
price of 23 toys=Rs276
price of 1 toys=Rs276/23 =Rs 12
price of 12 toys = Rs 12*12 =Rs 144
Practice:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
180°
a. (-1, 0)
b. (0, 1)
c. (0, -1)
d. (1, 0)
Please select the best answer from the choices provided
Answer:
A. (-1, 0)
Step-by-step explanation:
I calculated it logically
Find the volume of the following
square pyramid.
6 cm
4 cm
4 cm
V = [?] cm3
Answer:
based length times based width times pyramid height
((6 cm) (4 cm) (4cm) ) 3
= 32 cm3
please help i will mark brainlist
Answer:196.8
Step-by-step explanation:brainlyest plz plz I need it for my rank
Launch Problem
a) There are two stores selling boxes of crackers. Based on the information below, which store should Sylvio
purchase the crackers from? Explain your answer.
Store 1
ion
Numbero Boed Cachers
3
5
6
00
9
B
12
2
bl...
Store 2:
C = 1.5b
c = cost and b = boxes of crackers
...
b) Sylvio also needs to purchase lemons. If Sylvio wants to buy 3 boxes of crackers and 6 lemons and he does
not want to go to both stores, which one should he shop at? Explain your answer.
Store 1:
Number of lemons
3
6
9
12
1
Cost (in dollars)
2
3
4
my best answer is B i hope this helps
El ancho de un rectángulo es 15 pies menos que
su largo. Halla las dimensiones del rectángulo si el
perímetro es igual a 250 m.
Answer:
II. Longitud, L = 70 metros.
I. Ancho = 55 metros.
Step-by-step explanation:
Deje que la longitud del rectángulo sea L.
Deje que el ancho del rectángulo sea W.
Dados los siguientes datos;
Perímetro del rectángulo = 250 m
Traduciendo el problema verbal a una expresión algebraica, tenemos;
W = L - 15
Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;
P = 2 (largo + ancho)
250 = 2 (L + L - 15)
250 = 2 (2L - 15)
250 = 4L - 30
4L = 250 + 30
4L = 280
L = 280/4
Longitud, L = 70 m
Para encontrar el ancho;
W = L - 15
W = 70 - 15
Ancho = 55 m
You take out a simple interest loan with a principal of $1500. Your interest rate is
5.6% and your loan term is 4 yea's.
What is the total interest you will pay?
What is the total you will pay including your principal and interest?
Answer:
1836
Step-by-step explanation:
5,6% of 1500 = 84
5,6% is 0,373333% of 1500
so we do 84 x 4 for 4 year = 336 so we will + 336 and 1500 = 1836
Find the area of a semi-circle that has a radius of 8 cm.
image
A.
100.48 cm2
B.
200.96 cm2
C.
50.24 cm2
D.
25.12 cm2
Answer:
A
Step-by-step explanation:
trust
Answer:
B.
200.96 cm2
Step-by-step explanation:
A≈201.06cm²
Solution
A=πr2=π·82≈201.06193cm²
ANSWER FAST!!!
1. x - 10.9= 16.7
2. x - 5=37
Degree and Radian Measures
What is the degree equivalent of π/4?
a. 180°
b. 90°
c. 120°
d. 45°
Please select the best answer from the choices provided
Answer:
D. 45°
Step-by-step explanation:
I calculated it logically
plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
What is the surface area?
And an explanation too but if not it’s ok
Answer:
356 cm.
Step-by-step explanation:
Whenever you find the surface area of a rectangular prism, remember this mnemonic:
LISA WILSON LOST HER WITCH HAT TWICE.
(TWICE) 2 (LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT)
In this rectangular prism, the length is 8, the width is 14, and the height is 3 (the order of numbers in length, width, and height does not matter).
Now, we can just plug in the numbers.
LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT
[tex]2(8*14+8*3+14*3) = 356.[/tex]
Therefore, the surface area of this rectangular prism is 356 centimeters.
A number,M, is rounded to 1 decimal place. the result is 9.4 complete the error interval for M
Answer:
[tex]9.35 \le M \le 9.45[/tex]
Step-by-step explanation:
Given
[tex]M = 9.4[/tex] to 1 d p
Required
The error interval
The error interval is represented as:
[tex]Lower \le M \le Upper[/tex]
Where
[tex]Lower = M - 0.05[/tex]
[tex]Upper = M + 0.05[/tex]
So, we have:
[tex]Lower = M - 0.05[/tex]
[tex]Lower = 9.4 - 0.05[/tex]
[tex]Lower = 9.35[/tex]
[tex]Upper = M + 0.05[/tex]
[tex]Upper = 9.4 + 0.05[/tex]
[tex]Upper = 9.45[/tex]
Hence, the error interval: [tex]Lower \le M \le Upper[/tex] is:
[tex]9.35 \le M \le 9.45[/tex]
in the diagram below of triangle MNP, Q is a midpoint of MN and R is a midpoint of NP . if QR = 11-x, and MP=57-7x, what is the measure of MP?
Answer:
Answer Expert Verified
3.0/5
3
vijayalalitha
Ace
1.9K answers
6.2M people helped
Given:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theorem.
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;
Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
Step-by-step explanation:
Rena found that her bamboo plant measured 1,889 millimeters tall. About how many meters tall is the plant? 1 meter (m) = 100 centimeters (cm) 1 centimeter (cm) = 10 millimeters (mm)
A. 2 m
B 3 m
C. 1 m
D. 4m
Answer:
A.
Step-by-step explanation:
1889mm to meters is 1.889 meters, round it up you get 2 meters.
The answer is A.
In the coordinate plane, you are given JKL with J(2, 3), K(10,4), and L(6, 10). Using the distance formula, classify JKL
Answer:
Perimeter of JKL = 22.55 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of J = (2,3)
Coordinate of K = (10,4)
Coordinate of L = (6,10)
Find:
Perimeter of JKL
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between JK = √(2 - 10)² + (3 - 4)²
Distance between JK = √64 + 1
Distance between JK = √65
Distance between JK = 8.06 unit
Distance between KL = √(10 - 6)² + (4 - 10)²
Distance between KL = √16 + 36
Distance between KL = √52
Distance between KL = 7.21 unit
Distance between LJ = √(6 - 2)² + (10 - 3)²
Distance between LJ = √4 + 49
Distance between LJ = √53
Distance between LJ = 7.28 unit
Perimeter of JKL = Distance between JK + Distance between KL + Distance between LJ
Perimeter of JKL = 8.06 + 7.21 + 7.28
Perimeter of JKL = 22.55 unit (Approx.)
4 quarts= how many gallons
hello if anyone would pls help
Answer:
x = 12
Step-by-step explanation:
It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.
6×9= 72
72-2 = 70
It adds up.
Hope this helps.
A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.05 gallons. The paint volumes are approximately bell-shaped. Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
Answer:
Approximately 68%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1, standard deviation = 0.05.
Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
0.95 = 1 - 0.05
1.05 = 1 + 0.05
So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.
68.29% of pails have volumes between 0.95 gallons and 1.05 gallons.
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \sigma=standard\ deviation[/tex]
Given that:
μ = 1, σ = 0.05
[tex]For\ x=0.95:\\\\z=\frac{0.95-1}{0.05} =-1\\\\For\ x=1.05:\\\\z=\frac{1.05-1}{0.05} =1[/tex]
P(0.95 < x < 1.05) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 68.29%
Find out more at: https://brainly.com/question/15016913
You are saving money for a new phone. You must have at least $800 saved up in
order to be able to purchase the newest IPhone. So far you have saved $215 and
earn $15 per hour working at your part time job. Write and solve an inequality to
determine the least amount of hours you must work in order to reach your goal.
Let number of hours needed to work = x
Multiply number of hours by rate: 15x
Add what you already have saved:
15x + 215
This needs to equal at least 800:
The equation becomes:
15x + 215 >= 800
Solve for x:
15x + 215 >= 800
Subtract 215 from both sides
15x >= 585
Divide both sides by 15
X >= 39
They have to work at least 39 hours.
What should be done to solve the following equation? d - 5 = 3
Answer:
d=8
Step-by-step explanation:
Firstly you need to get d by itself. To get d by itself you need to get 5 onto the other side. To do that you need to add 5 to 3 (because adding is the opposite of addition). Therefore you will get 8! So d = 8
Answer:
add 5 both sides making it
d=5+3
solve 5+3
=8
d=8!!!Can someone plz help it’s my final
Answer:
Option F, y = 2x + 5 would be the right answer
Hope this helps!
Answer:
Option F would be correct.
Hope this helps<3
Have a good day :)
~Amy
Let a, β, y be the three interior angles of any triangle, and try to prove that cos(a+β+y) = -1.
[tex]prove \: that \: \cos( \alpha + \beta + \gamma ) = - 1[/tex]
Given:
[tex]\alpha, \beta, \gamma[/tex] are three interior angles of any triangle.
To prove:
[tex]\cos (\alpha+\beta+\gamma)=-1[/tex]
Solution:
According to the angle sum property of a triangle, the sum of all three interior angle of a triangle is always 180 degrees.
It is given that, [tex]\alpha, \beta, \gamma[/tex] are three interior angles of any triangle.
Using the angle sum property of triangles, we get
[tex]\alpha+\beta+\gamma =180^\circ[/tex] ...(i)
We need to prove,
[tex]\cos (\alpha+\beta+\gamma)=-1[/tex]
Taking LHS, we get
[tex]LHS=\cos (\alpha+\beta+\gamma)[/tex]
[tex]LHS=\cos (180^\circ)[/tex] [Using (i)]
[tex]LHS=-1[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
A. 1:8
B. 8:1
C. 1:9
D. 9:1
Answer:
A
Step-by-step explanation:
The successful results are
1 1
2 1
1 2
2 2
So the formula is probability of winning to probability of losing
Probability of winning =
4/36 = 0.1111111
Probability of losing =
32/36 = 0.88888888
So the odds are expressed as 0.111111 / 0.88888 = 1 in 8
A
If you ever intend to bet on horses at the track, this is a very good problem to understand.
Place and show would be very handy too, but that goes beyond this question.
plsssss help me i’m confused
Answer:
c
Step-by-step explanation:
please help i will give brainlest
13.9
about 14 squares units
Describe how to graph the solution of y ≤ −x2 + 2x.
Answer:
See graph and explanation
Step-by-step explanation:
Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.
Starting salaries of 135 college graduates who have taken a statistics course have a mean of $42,650. Suppose the distribution of this population is approximately normal and has a standard deviation of $8,988. Using a 93% confidence level, find both of the following:
(NOTE: Do not use commas nor dollar signs in your answers.)
(a) The margin of error:
(b) The confidence interval for the mean μ:
Answer:
Hence, the margin error is [tex]1415.62189[/tex] and the confidence interval for the mean is [tex](41234.38,44065.62)[/tex].
Step-by-step explanation:
Given :
Sample size [tex]n=135[/tex]
Sample mean [tex]\bar{x}=\$42,650[/tex]
Standard deviation [tex]\sigma =\$8,988[/tex]
Confidence level is [tex]93\%[/tex]
(a)
The margin error [tex]=Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]
[tex]\because \alpha =1-[/tex]confidence level
[tex]\Rightarrow \alpha=1-93\%=1-0.93[/tex]
[tex]\Rightarrow \alpha=0.07\Rightarrow \frac{\alpha}{2}=0.035[/tex]
[tex]Z_{\frac{\alpha}{2}}=Z_{0.035}=1.83[/tex] from the [tex]z-[/tex]table
Now, the margin error[tex]=1.83\times \frac{8988}{\sqrt{135}}[/tex]
[tex]=1415.62189[/tex]
(b)
The confidence interval for the mean [tex]\mu\\[/tex] :
[tex](\bar{x}-\text{margin error},\bar{x}+\text{margin error})[/tex]
[tex]\Rightarrow (\bar{x}-1415.62189,\bar{x}+1415.62189)[/tex]
[tex]\Rightarrow (42650-1415.62189,42650+1415.62189)\\\Rightarrow (41234.38,44065.62)[/tex]
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer:
235.5 units³
Step-by-step explanation:
volume of a cylinder: radius² × π × height
=> 5² × 3.14 × 3
=> 235.5
Answer:
75π
Step-by-step explanation:
At a party there are 30 students over the
age of 18 and 20 students under 18. You
randomly choose 3 students over 18 and 2
students under 18 to interview. This is an
example of:
A. A convenience sample
B. A self-selected sample
C. A systematic sample
D. A random sample
Answer:
The answer is C
Acellus sux
Step-by-step explanation:
Systematic sampling is a probability sampling approach in which researchers choose individuals of the population at a predetermined regular interval. The correct option is C, a systematic sample.
What is systematic Sampling?Systematic sampling is a probability sampling approach in which researchers choose individuals of the population at a predetermined regular interval (or k).
If the population order is random or random-like (e.g., alphabetical), this approach will yield a representative sample from which inferences about the population can be drawn.
Given that At a party there are 30 students over the age of 18 and 20 students under 18. You randomly choose 3 students over 18 and 2 students under 18 to interview.
Because you cannot get a list of your people in advance. As a result, the entire instance presented to us is an example of systematic sampling.
Learn more about Systematic Sample:
https://brainly.com/question/24317913
#SPJ2