Answers
Answer:
Area = 20yd
Perimeter = 23 yd
Step-by-step explanation:
Area = 1/2 ×bh
b, which I the base = 10yd
h, which is the height = 4yd
Note: 5yd is the base because when you turn the triangle you will see that 10yd is the base and 5yd is the height not 8yd because 8 yd is not a straight line at a right angle
Therefore;
Area = 1/2× 10 × 4
= 1× 5 × 4
= 20yd
Perimeter = 8yd +5yd +10yd
= 13yd + 10yd
= 23yd
Related Questions
Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Answers
Answer:
a. 0.0535 = 5.35% probability that it will not be discovered
b. 0.9465 = 94.65% probability that it will be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. If it has an emergency locator, what is the probability that it will not be discovered?
Event A: Has an emergency locator.
Event B: Not discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]
Probability of having an emergency locator and not being discovered:
12% of 24%. So
[tex]P(A \cap B) = 0.12*0.24[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]
0.0535 = 5.35% probability that it will not be discovered.
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Event A: Has an emergency locator.
Event B: Discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]
Probability of having an emergency locator not being discovered:
67% of 76%. So
[tex]P(A \cap B) = 0.67*0.76[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]
0.9465 = 94.65% probability that it will be discovered
What are the x- and y-intercepts for the graph of 3x + y = 15?
x-intercept = −3
y-intercept = 15
x-intercept = 3
y-intercept = 1
x-intercept = −3
y-intercept = 1
x-intercept = 5
y-intercept = 15
Answers
Answer:
x-intercept = 5
y-intercept = 15
Step-by-step explanation:
Change the equation to slope-intercept form: y = -3x + 15
You have the y-intercept in that equation already, so you know it's 15. To find the x-intercept, substitute 0 in for y and solve algebraically.
0 = -3x + 15
-15 = -3x
5=x
explanation would really help
Answers
Answer:
35
Step-by-step explanation:
the whole line is 49 and line DB is 30.
minus 16 from 30 so 30-16=14
then you minus line CB from EB so 49-14=35
that makes line EC 35
Easy please help me with this assignment
Answers
Step-by-step explanation:
y=x may be
may it helped u ....
If u plug in the x coordinate in the table (eg.2) into the equation y=3x-2, you are left with y=3(2)-2 which equals 6-2=4
So y=4
Checking the corresponding value for that x value, the y value is 4 so the equation is correct.
which of these expressions is equivalent to to 7(x+3)
Answers
On expanding the expression, we get - 7x + 21.
We have the following expression -
f(x) = 7(x + 3)
We have to write its equivalent expression.
Expand : f(x) = [tex]$\pi (\sqrt{x} + 5)[/tex]Expanding we get -
f(x) = [tex]$\pi \sqrt{x} + 5\pi[/tex]
According to the question, we have -
7(x + 3)
On expanding, we get -
7(x + 3) = 7x + 21
Hence, on expanding the expression, we get - 7x + 21.
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For brainlest pls ……..
Answers
Answer:
4.5 cm²
Step-by-step explanation:
The given shape is a parallelogram , and the area of a parallelogram is ,
Area :-
1/2 * b * hSo , that,
=> A = 1/2 * 2.5 * 1.8
=> A = 4.5 cm²
Answer:
A = 4.5 m²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 2.5 and h = 1.8 , then
A = 2.5 × 1.8 = 4.5 m²
4/8 =?/2 please answer
Answers
Answer:
? = 1
Step-by-step explanation:
4/8 = ?/2
Change the ? into a variable so it's easier to calculate:
Variable x = ?
4/8 = x/2
Cross multiply:
4 × 2 = 8 × x
8 = 8x
Divide both sides by 8 to isolate the variable:
1 = x
Check your work:
4/8 = 1/2
4 × 2 = 8 × 1
8 = 8
Correct!
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answers
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
What's 1/24 + 4/8 simplified?
Answers
Answer:
13/24
Step-by-step explanation:
1/24 + 4/8
first make denominator equal
1/24 + 4*3/8*3
1/24 + 12/24 = 13/24
then check if it can be further simplified
13/24
It cannot so you're done!
Hope this helps!
Answer:
13/24
Step-by-step explanation:
reduce the frcation with 4
1/24 + 1/2
write all numerators above the least common denominator 24
1+12/24
Calcuate 1+12/ 24
which = 13/24
What is Limit of (3 x minus 3) Superscript five-halves Baseline as x approaches 4
Answers
Answer:
d 243
Step-by-step explanation:
The solution of given function is 243
What is limit of function?
A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number
[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]
[tex](3(4)-3)^\frac{5}{2}[/tex]
[tex](12-3)^\frac{5}{2}[/tex]
[tex](9)^\frac{5}{2}[/tex]
[tex](3^2)^\frac{5}{2}[/tex]
[tex]3^5[/tex]
243
Hence, the solution of given function is 243
Learn more about limit of function
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Una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus
clientes. En la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en
Hermosillo 4/16 y en la Ciudad de Guaymas 3/8 ¿en qué ciudad es más probable que viva el ganador?)
Answers
Answer:
Es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.
Step-by-step explanation:
Dado que una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus clientes, y en la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en Hermosillo 4/16 y en la Ciudad de Guaymas 3/8, para determinar en qué ciudad es más probable que viva el ganador se deben realizar los siguientes cálculos:
Nogales = 5/40 = 1/8 = 0.125
Obregón = 1/4 = 0.25
Hermosillo = 1/4 = 0.25
Guaymas = 3/8 = 0.375
Por lo tanto, es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.
Según las proporciones, hay que es más probable que el ganador viva en Guaymas.
En la ciudad de Nogales se repartieron 5/40 del total de los boletos, por eso la proporción es [tex]\frac{5}{40} = 0.125[/tex]El la ciudad de Obregón 1/4, o sea, la proporción es [tex]\frac{1}{4} = 0.25[/tex].El la ciudad de Hermosillo 4/16, o sea, la proporción es [tex]\frac{4}{16} = 0.25[/tex].En la ciudad de Guaymas 3/8, o sea, la proporción es [tex]\frac{3}{8} = 0.375[/tex].Por la proporción mas alta, es más probable que el ganador viva en Guaymas.
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Help please!
Fully factorise
Answers
Answer:
a.8y³-6y
taking common
2y(4y²-3)
is a required answer
b.
3x²-20x+12
doing middle term factorization
3x²-18x-2x+12
3x(x-6)-2(x-6)
(x-6)(3x-2)
is a required answer .
B (x-6) -2 (x-6)
what are the integers from 6 to 25
Answers
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Answer:
✐ The integers from 6 to 25 are ⎆ [tex]\large\bold{7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,23, 24}[/tex]
Step-by-step explanation:
Natural numbers are numbers that are greater than 0 (all numbers starting from positive 1). All natural numbers are integers. So, in this case ⎇ integers = natural numbers (note :- only in this case)
Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23
She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.
Answers
Answer:
≈ 5.5 minutes.
Step-by-step explanation:
Let m = number of minutes on the trampoline.
[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]
She was on the trampoline for approximately 5.5 minutes.
Answer:
= 5.5 minutes
Step-by-step explanation:
1.45 + 7.25 = 15. 23
1. 45 = 15. 23 - 7. 25
1. 45 = 7 . 98
m = 5.5
Hope this answer helps you :)
Have a great day
Mark brainliest
Find the volume of the sphere. Round your answer to the nearest tenth.
Answers
Answer:
D. 268.1 m³
Step-by-step explanation:
Volume = 4/3 * 3.14 * 4³
Volume = 4/3 * 201
Volume = 268 ≈ 268.1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Average U.S. income is usually reported as
income.
a.
b.
seasonally adjusted
virtual
mean
C.
d.
median
Answers
what is an algebraic expression for the quotient w and 7?
Answers
Answer:
the quotient of w and 7
is it correct?
Step-by-step explanation:
6 1/8 qt = ___ c please help
Answers
Answer:
24 1/2 cups
Step-by-step explanation:
we can change 6 1/8 into 49/4
there are 2 cups in 1 quart
now we can set up a proportion:
2÷1 = 'c'÷ 49/4
cross-multiply to get:
49/4 × 2 = c
49/2 = c
c = 24.5
A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?
Answers
8.75meters x 7mins= 61.25 meters
Step-by-step explanation:
Well it would be 8.75 ×7 which is 61.25m
If the measure of arc CB is 8/3 units, what is the measure of CAB?
Answers
Question:
If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is [tex]\frac{8}{3} \pi[/tex] units.
The length L of an arc is given by;
L = [tex]\frac{\beta }{360} * 2\pi * r[/tex] -----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L = [tex]\frac{8}{3} \pi[/tex]
Substitute these values into equation (i) as follows;
[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]
=> [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]
Cancel 8[tex]\pi[/tex] on both sides
[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]
Cross multiply
3 x β = 360 x 1
3β = 360
Divide both sides by 3
[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]
β = 120°
Therefore, the measure of ∠CAB is 120°
Find the 66th term of the arithmetic sequence -28,-45,-62
Answers
Answer:
Using the formula
an = a of 1 + (n-1)(d)
an = -28 + (n-1)(-17)
simplify
an = -17n - 11
Now that we have the formula, we just plug in 66 for n
a66 = -17(66) - 11
a66 = -1133
What is the outlier in the set of data? (2,4,6,8,9,9,45)
Answers
Answer:
45
Step-by-step explanation:
This is the outlier because it is much larger than all of the other numbers in the set.
The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 896 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.
Answers
Answer: The area of the screen at AT&T Stadium = 17150 square foot.
Step-by-step explanation:
When two shapes are similar then,
[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]
As per given , we have
[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]
Hence, the area of the screen at AT&T Stadium = 17150 square foot.
There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form.
Answers
Answer:
6√2 miles
Step-by-step explanation:
Using the solution diagram drawn :
We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;
The hypotenus, = √(opposite² + adjacent²)
Hypotenus = √6² + 6²
Hypotenus = √(36 + 36)
Hypotenus = √72
Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles
please answer ASAP (math)
Answers
Answer: Undefined
Step-by-step explanation:
Replace x with -5
An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by k(x) = 125x^2 +670x 125 where P= k(x).
Required:
a. Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profit
b. The cost of the ice cream cone is too low then the ice cream shop will not make a profit. Determine what the ice cream shop needs to charge in order to break even
c. The profit function for Cold & Creamy (another ice cream shop) is defined by the function g where gx)- k(x-2). Does the function g have at the same maximum value as k?
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that k(x) = -125x² +670x - 125, where x is the charge per cone and P = k(x) is the weekly profit
a) The maximum profit is at P'(x) = 0. Therefore we have to find the derivative of the profit equation and equate it to 0.
P'(x) = k'(x) = 0
k'(x) = -250x + 670 = 0
-250x + 670 = 0
250x = 670
x = $2.68
P = k(2.68) = -125(2.68²) + 670(2.68) - 125 = $772.8
Hence the maximum profit is $772.8 when the price of each ice cream cone is $2.68
b) At break even, the profit is 0. Hence P= k(x) = 0
-125x² + 670x - 125 = 0
x = 5.17 or x = 0.19
Therefore to break even, the price of the ice cream cone needs to be $0.19 or $5.17
c) g(x) = k(x - 2)
g(x) = -125(x - 2)² + 670 (x -2) - 125
Maximum profit is at g'(x) = 0
g'(x) = -250(x-2) + 670
-250(x-2) + 670 = 0
-250x + 500 + 670 = 0
250x = 1170
x = 4.68
g(4.68) = -125(4.68 - 2)² + 670(4.68 -2) - 125 = $772.8
Therefore function g has the same maximum value as function k
Write a number in which the digit 1 is worth 10 times as much as it is in 62,901
Answers
Answer:9
Step-by-step explanation:
No step
Answer:
the answer for this is 1
Step-by-step explanation:
cause ten times of 1 is 1.
Please don't confuse yourself with
1 times of 10.that one is 10
ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.
the second one is 10 ×1 =10.
Find the slope thanks
Answers
10. -1/14
11. -3/4
12. -1/4
13. 11/17
14. -18/13
15. undefined
16. -30
line segment GJ is a diameter of circle L.Angle K measures (4x+6)°
what is the value of x?
21
24
32
44
Answers
Answer:
A. 21
Step-by-step explanation:
Recall: inscribed angle in a semicircle equals 90°
m<K is an inscribed angle in a semicircle = (4x + 6)°
Therefore,
4x + 6 = 90°
Solve for x. Subtract both sides by 6
4x + 6 - 6 = 90 - 6
4x = 84
Divide both sides by 4
4x/4 = 84/4
x = 21
What is the 11th term of the geometric sequence with this explicit formula?
an = 5.(-2)(n-1)
Answers
Answer:
5,120
Step-by-step explanation:
an = 5.(-2)^(n-1)
a11 = 5.(-2)^(11-1)
= 5.(-2)^10
= 5.(1,024)
= 5,120