On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window? (4 points)
An isosceles trapezoid with top side 12 inches long and a longer bottom side. The height is 13 inches. The base of the triangle formed from the height on the right is labeled 2 inches.
The area of the trapezoid is 188.5 inches²
What is a trapezium in maths?A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs.
Given here: A trapezoidal window with top side 12 inches and height 13 inches
And The base of the triangle formed from the height on the right is labeled 2 inches.
Thus the length of the longer side is equal to 13+2+2=17
Hence, The area of the trapezoid is = 1/2 × (12+17)×13
A= 188.5 inches²
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
For each of the values of h given, when x is increased from 4 to 4+h, work out(the change in x^2)/h.a. If h=1, then (the change in x^2)/h =b. If h=0.1, then (the change in x^2)/h=c. If h=0.01, then (the change in x^2)/h=d. If h=0.001, then (the change in x^2)/h=
As h decreases, the value of (the change in x^2)/h increases, since 16h gets divided by a smaller value of h. For example, when h=0.1, (the change in x^2)/h = 16/0.1 = 160.
a. If h=1, then (the change in x^2)/h = 16/1 = 16
b. If h=0.1, then (the change in x^2)/h= 16/0.1 = 160
c. If h=0.01, then (the change in x^2)/h= 16/0.01 = 1600
d. If h=0.001, then (the change in x^2)/h= 16/0.001 = 16000
The change in x^2 refers to the difference in the value of x^2 when x is increased from 4 to 4+h. In other words, it is the difference between (4+h)^2 and 4^2. The change in x^2 is 16h, since (4+h)^2 = 16h + 4^2. To find (the change in x^2)/h, we simply divide 16h by h, which gives us 16. So, for each of the values of h given, when x is increased from 4 to 4+h, (the change in x^2)/h is 16. As h decreases, the value of (the change in x^2)/h increases, since 16h gets divided by a smaller value of h. For example, when h=0.1, (the change in x^2)/h = 16/0.1 = 160.
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There are 12million children in the UK. If it took Santa 3 seconds to visit each child when delivering presents, how many hours would
The number of hours it will take Santa to visit the whole children is = 10,000hours
The total number of children in UK is = 12million
That is = 12,000,000.
It took Santa 3 seconds to visit each child. That is,
1 child = 3 seconds
Therefore 12,000,000 children = x seconds
x = 12,000,000 × 3 seconds
x = 36,000,000 seconds.
But 3,600 seconds = 1 hour
36,000,000 seconds = x
x = 36,000,000/3,600
x = 10,000 hours.
Therefore, the number of hours it will take Santa to visit the whole children is = 10,000 hours.
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PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the surface area of the composite figure to the nearest tenth.
Answer:
D.
Step-by-step explanation:
6a² = surface area for cube
6(5)² = 150
2\(\pi\)(r)(h)+2\(\pi\)r² = surface area cylinder
2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi
150 + 20pi = 212.8318531
what is an equation of the line that passes through the points 0,-2and 0,-5
Answer:
Any equation with a slope of 3 will work. You can use any y-intercept. This equation will work: y = 3x+1
Step-by-step-explanation:
3x says that the slope is 3, and on a coordinate plane, 2 is 3 places above 5, and since the slope is 3, it will go 3 spots up, and run into (0,2)
PLEASE HELP ME ON THAT I REALLY NEEDED. Tell be the statement and the reason please also please do it in order because is on aleks. THANKS!
Answer:
CD = EC ⇒ proved down
Step-by-step explanation:
If a point lies on a segment, then it divides the segment into two parts, the sum of their length equals the length of the segment
Example:
If point Z lies on the segment XY, then Z divides XY into segments XZ and ZY, where XY = XZ + ZY
Let us use this fact to solve the question
∵ BD and EF intersected at point C
∴ C divides BD into two segments BC and CD
∴ C divides EF into two segments EC and CF
→ By using the fact above
∴ BD = BC + CD
∴ EF = EC + CF
∵ BD = EF ⇒ given
→ Equate their right sides
∴ BC + CD = EC + CF
∵ BC = CF ⇒ given
→ That means their adding segments are equal
∴ CD = EC ⇒ proved
express 56;84;104 each as a product of their prime factors
Answer:
2x2x2x7 is 56, 2^2x3x7 is 84, and 2x2x2x13 is 104.
Step-by-step explanation:
Factorise the given expression compleyely.
1. 2x(4-7)+(-7+4)
Answer:
The answer is:-
(2x+1)(4-7)
Evaluate using the order of operation 8.4+(13.1-0.6)
Answer:
20.9
Step-by-step explanation:
13.1 - 0.6 = 12.5
12.5 + 8.4 = 20.9
Lola used 2 1/2 ink cartridges while her friends used 1 3/4 ink cartridges. How many more ink cartridges did Lola use than her friends
Answer:
Lola used 3/4 more ink cartridges than her friends
Step-by-step explanation:
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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A total of 100 people went to the
movies. A ticket cost $4 for adults and
$2 for children. The total sales
amounted to $276. How many children
and adults attended the movies?
Using a system of equations, the number of children and adults who attended the movies is as follows:
Children = 62Adults = 38.What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also known as simultaneous equations.
The total number of people who went to the movies = 100
The unit cost of adult tickets = $4
The unit cost of children tickets = $2
The total sales = $276
Let the number of children who attended the movies = x
Let the number of adults who attended the movies = y
Equations:x + y = 100 ... Equation 1
2x + 4y = 276 ... Equation 2
Multiply Equation 1 by 2:
2x + 2y = 200 ... Equation 3
Subtraction Equation 3 from Equation 2:
2x + 4y = 276
-
2x + 2y = 200
2y = 76
y = 38
Substitute y = 19 in equation 1:
x + y = 100
x + 38 = 100
x = 62
Check in Equation 2:
2x + 4y = 276
2(62) + 4(38) = 276
124 + 152 = 276
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PLS HELP THANK YOUUUUUUU
Suppose a hospital would like to estimate the proportion of patients who feel that physicians who care for them always communicated effectively when discussing their medical care. A pilot sample of 40 patients found that 28 reported that their physician communicated effectively. Determine the additional number of patients that need to be sampled to construct a 90% confidence interval with a margin of error equal to 2% to estimate this proportion.
Part 1
The additional number of patients that need to be sampled is
(Round up to the nearest integer.)
174 more patients need to have their samples taken than were originally anticipated. This is further explained below.
What is a Marginal error?Generally, the equation for the margin of error is mathematically given as
\({Margin\ of \ error } & \ amp;=Z_{o \text { it }} \text { at } 5 \% \text { lo.s } \times S E(p)\)
Where
Z is the distributionSE is the standard deviationGiven that the margin of error should be 7%, or 0.07, the total number of extra patients is denoted by n.
sample proportion = 11/20 = 0.55
q =0.45
Margin of error = Zo at 5% lo.s * S E(p)
To solve for the 0.07amp
\(\\\\0.07 =1.96 \times \sqrt{\frac{p q}{n}}\)
\(\\\\&0.07=1.96 \sqrt{\frac{0.55 \times 0.45}{20+n}} \\\\0.07 =\frac{0.97508}{\sqrt{20+n}} \\\\\sqrt{20+n} =\frac{0.97508}{0.07} \\\\\end{aligned}\)
20+n =194.04
n =174.04
n=174
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11 Jamal has a sudden medical emergency, and although his doctors do not agree, he is sure that it was caused by an antibiotic he took to prepare for a tooth extraction. Jamal posts a picture of himself in the hospital on his social media with the hashtag #antibioticskill. Although hashtags can raise awareness of important issues, what might happen if Jamal’s post were to go viral? A. People could be influenced into groupthink and reject antibiotics without knowing the facts. B. People would be encouraged to research the side effects that antibiotics cause before accepting them. C. Jamal would be investigated for making unfounded claims about a product online. D. Jamal could cause people to be more willing to listen to their doctor’s advice.
Answer:
A.
Step-by-step explanation:
A. People could be influenced into groupthink and reject antibiotics without knowing the facts.
can someone help me out on this one please!
Answer:
4lbs
Step-by-step explanation:
She can only get 4lbs because 14 divided by 3 is around 4.6666. Its around 4lbs because if it were to be 5lbs she would need $15 and as it says she has only $14.
Graph (x-4)^2/4 + y^2/9 = 1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Compare the equation to that of an ellipse with center (h, k) and axes of lengths 2a and 2b.
((x -h)/a)^2 +((y -k)/b)^2 = 1
We see that (h, k) = (4, 0) and a=2, b=3.
This tells us the center of the ellipse is (4, 0), the major axis is parallel to the y-axis, and the minor axis is parallel to the x-axis. The ellipse extends ±2 units from its center in the x-direction and ±3 units from its center in the y-direction.
Answer:
It is graph C on edge.
Step-by-step explanation:
Can you please help me
Answer:
first graph
Step-by-step explanation:
x > n
the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )
the arrow from n will point in the right direction, indicating values of x greater than n.
the graph representing x > n is the first graph
passes through (-3,-10) and has vertex (3,-8)
Answer:
You did not ask a question, but if you need Math help in the future try using the apps I named in the screenshot since Brainly does not allow me to write it.
Step-by-step explanation:
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm
Answer:
942 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where S is the surface area, r is the radius, and h is the height.
Substituting the given values, we get:
S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5
S = 628 + 314
S = 942
Therefore, the surface area of the cylinder is 942 square millimeters.
What’s is 27 divided by 5
Answer:
Step-by-step explanation:
5.4
Answer:
27/5 = 5.4
Step-by-step explanation:
You can use long division
5.4
-----------
5| 27
25
---------------
20
-20
-------------------
0
Please answer this correctly
Answer:
\( \boxed{Perimeter \: of \: semicircle = 61.68 \: feet} \)
Given:
\( \sf Area \: of \: semicircle = 226.08 \: square \: feet\)
To find:
Perimeter of semicircle
Step-by-step explanation:
Let 'r' be the radius of circle
\( \sf \implies Area \: of \: semicircle = \frac{ \pi {r}^{2} }{2} \\ \\ \sf \implies 226 .08 = \frac{\pi {r}^{2} }{2} \\ \\ \sf \implies \frac{\pi {r}^{2} }{2} = 226.08 \\ \\ \sf \implies \pi {r}^{2} = 2 \times 226.08 \\ \\ \sf \implies \pi {r}^{2} = 452.16 \\ \\ \sf \implies 3.14 \times {r}^{2} = 452.16 \\ \\ \sf \implies {r}^{2} = \frac{452.16}{3.14} \\ \\ \sf \implies {r}^{2} = 144 \\ \\ \sf \implies {r}^{2} = {12}^{2} \\ \\ \sf \implies \sqrt{ {r}^{2} } = \sqrt{ {12}^{2} } \\ \\ \sf \implies r = 2 \: feet\)
So,
\( \sf Perimeter \: of \: semicircle = \pi r + 2r \\ \\ \sf =( 3.14 \times 12) +( 2 \times 12)\\ \\ \sf = 37.68 + 24 \\ \\ \sf = 61.68 \:ft\)
Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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There are three companies that produce a critical electronic navigation component (ENC) used in the aerospace industry. These companies are Alice Manufacturing, Byte International, and Cognizant Technologies. Alice makes 85% of the ENCs, Byte makes 10%, and Cognizant makes the remaining 5%. The ENCs made by Alice have a 2.5% rate of defects, the ones made by Byte have a 4.0% rate of defects, and the ones made by Cognizant have a 6% rate of defects. If an ENC is randomly selected from the general population of ENCs, the probability that it was made by Alice is _______. If this ENC is later tested and found to be defective, the probability that it was made by Alice is _______.
Answer:
a
\(P(A) = 0.85\)
b
\(P(A | D) = 0.7522 \)
Step-by-step explanation:
From the question we are told that
The percentage of ENC made by Alice is P(A) 85% = 0.85
The percentage of ENC made by Byte P(B) 10%=0.10
The percentage of ENC made by Cognizant P(C) = 5%= 0.05
The percentage rate of defect of ENC made by Alice is p = 2.5 % = 0.025
The percentage rate of defect of ENC made by Byte is q = 4.0% = 0.04
The percentage rate of defect of ENC made by Cognizant r = 6% =0.06
Generally the probability that a randomly selected ENC will be made by Alice is
\(P(A) = 0.85\)
Generally the probability that a randomly selected ENC that was found to be defective will be made by Alice is
\(P(A | D) = \frac{P(A) * p}{P(D)}\)
Here
\(P(D)\) is the probability that a randomly selected ENC will be defective and this is mathematically represented as
\(P(D) = P(A) * p + P(B) * q + P(C) * r\)
=> \(P(D) = 085 * 0.025 + 0.10 * 0.040 + 0.05 * 0.06\)
=> \(P(D) = 0.02825 \)
So
\(P(A | D) = \frac{ 0.85 * 0.025 }{0.02825}\)
=> \(P(A | D) = 0.7522 \)
Solve the problem by entering and solving an equation.
What is the temperature in degrees Fahrenheit of a freezer kept at -30°C?
What is the temperature in
degrees Fahrenheit.hat is the equation (___)= (___) (x- _) and what is the temperature in degrees Fahrenheit
Answer: -26.60
Step-by-step explanation:
Heres -30 degrees as faherenheit
Answer:
-22
Step-by-step explanation:
−30 =
5
9
(x − 32)
Solve the equation.
9
5
(−30) =
9
5
(
5
9
(x − 32)) Multiply both sides by
9
5
.
−54 = x − 32
+32 + 32 Add 32 to both sides.
−22 = x
The temperature is −22 degrees Fahrenheit.
Write an equation of a line in slope-intercept form with the given slope and y-intercept.
A. Slope: -6, y-intercept: -2
B. slope: 1, y-intercept: - 12
Answer:
y = -6x - 2
y = x - 12
Step-by-step explanation:
Slope-intercept equation for line of slope m and y-intercept b:
y = mx + b
A. m = -6, b = -2
y = -6x - 2
B. m = 1, b = -12
y = x - 12
Only answer question 2
Solve for j I will give brainlest anwser
(h-4) / j = k
Answer:
j=h-4/k this is the answer if you are solving for j
Step-by-step explanation:
(-2 3/5)(3)(-0.5) what does this equal?
Answer:
3.9
Step-by-step explanation:
im not sure :<
Answer:
9/25 = 0.36 = nine twenty-fiths
Step-by-step explanation: