Answer:
d
Step-by-step explanation:
The curved part of this figures is a semicircle.
What is the best approximation for the area of this figure?
14+16.25π units²
28+16.25π units²
14+8.125π units²
28+8.125π units²
Coordinate plane with axes labeled x and y. A closed figure is formed by two segments and a semicircle. A segment extends from negative 4 comma negative 2 to negative 4 comma 2. Another segment extends from negative 4 comma 2 to 3 comma 2. A semicircle extends from 3 comma 2 to negative 4 comma negative 2.
The area of a shape is the amount of space on the shape.
The best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]
How to determine the area of the figureStart by calculating the diameter of the semicircle using the following distance formula:
[tex]d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}[/tex]
So, we have:
[tex]d = \sqrt{(-4 -3)^2 +(-2 -2)^2}[/tex]
[tex]d = \sqrt{65}[/tex]
Divide by 2, to calculate the radius
[tex]r = \frac{\sqrt{65}}{2}[/tex]
So, the area of the semicircle is:
[tex]A = \frac{\pi r^2}{2}[/tex]
This gives
[tex]A = \pi (\frac{\sqrt{65}}{2})^2[/tex]
[tex]A = \frac{65}{4}\pi[/tex]
[tex]A = 16.25\pi[/tex]
Next, we calculate the area of the triangle using:
[tex]A = 0.5 * B * H[/tex]
Where:
[tex]B = 3 -(-4)[/tex]
[tex]B = 7[/tex]
[tex]H= 2 - (-2)[/tex]
[tex]H = 4[/tex]
So, we have:
[tex]A = 0.5 * 7 * 4[/tex]
[tex]A = 14[/tex]
The area of the figure is then calculated as:
[tex]A = 14 + 16.25\pi[/tex]
Hence, the best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]
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HELP PLEASE!!!!!
Which statement describes the system of equations?
x+2y=2
x-2y=-2
It has infinitely many solutions.
It has no solution.
It has one solution (0, 1).
It has one solution (4, –1).
Two less than 5 times a number is the same as the number plus 10. what's the number (x)?
Answer:
Th answer is 2
Step-by-step explanation:
Subtract 5 from 10 then multiply 5 and 2
Glad i could help
Answer:
3
Step-by-step explanation:
5x-2=x+10
4x=12
x=3
(5*3)-2=15-2=13
3+10=13
13=13
Which of the following statements is not a translation of the equation 4 + x = 9?
Answer:yes it is! It’s correct
Andre and Elena are solving this system of equations: y=3x,
y=9x−30
Andre's first step is to write: 3x=9x−30
Elena’s first step is to create a new system: {3y=9xy=9x−30
Do you agree with either first step? If so which one and explain your reasoning
It should be noted that when Andre and Elena are solving this system of equations, the first step is correct but the others are wrong.
How to illustrate the information?It should be noted that an equation is used.to show the relationship between the expressions that are given.
It should be noted that Andre and Elena are solving this system of equations: y=3x, y=9x−30.
This will be equated to this:
3x = 9x - 30
Collect like terms
9x - 3x = 30
6x = 30
Divide
x = 30 / 6
x = 5
Note that y = 3x = 3 × 5 = 15
Therefore, it should be noted that when the value of y is 15 and only the first step is correct.
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Find the divergence of each of the following vector fields at all points where they are defined. (a) div(x(x2 y2 z2)1.5i y(x2 y2 z2)1.5j z(x2 y2 z2)1.5k)
Answer: the divergence of the vector fields at all points its defined is 0
Step-by-step explanation:
Given that;
div ( [x / (x²+ y² + z²)^1.5]i + [y / (x² + y² + z²)^1.5]j + [z / (x² + y² + z²)^1.5]k )
= d/dx [x / (x²+ y² + z²)^1.5] + d/dx [y / (x² + y² + z²)^1.5] + d/dx [z / (x² + y² + z²)^1.5]
= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]
= [3 / (x²+ y² + z²)^1.5] - [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]
= [2 / (x²+ y² + z²)^1.5] - [3 / (x²+ y² + z²)^1.5] = 0
therefore the divergence of the vector fields at all points its defined is 0
y=3/4x -1 find the slope and the y intercept PLEASE ALOT OF POINTS
Answer:
slope 3/4
y intercept -1
Step-by-step explanation:
y=mx+b
m=slope
b=y intercept
Answer:
Slope-3/4
Intercept-(0,-1)
Step-by-step explanation:
How large a sample must we take if we want the margin of error to be at most 0.01 pound with 95% confidence
Answer:
The sample size is [tex]n = 153664[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.01
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Let take the standard deviation to be [tex]\sigma = 2 \ pounds[/tex]
Gnerally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2[/tex]
=> [tex]n = [\frac{1.96 *2 }{0.01} ]^2[/tex]
=> [tex]n = 153664[/tex]
Based on the graph, which inequality is correct for a number that is to the left of -4?
HHHHHH
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
+
(4 points)
o -7>-4
0-6<-4
-8 > -4
ОО
-4 <-g
NEED HELP ASAP
Answer:
Sorry I'm a little late but the answer is
2 > -4
ratios. 12 yards to 9 feet
Since one yard is equivalent to three feet, you can multiply the number of yards by 3 to convert from yards to feet. 36 feet are equal to 12 yards times 3 feet per yard. Consequently, 12 yards are equal to 36 feet.
What does the term "yard" mean?A unit of length equivalent to 3 feet, or around 0.914 metres.
Both the US Customary and British Imperial Systems of Measurement use yards as a measure of length. Yd is its symbol. The length of medium-sized objects is frequently measured using it.
What is an illustration of one yard?About half the length of a bed is a yard. wider than a huge refrigerator. the elevation of a countertop.
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y=2x -1 ( subtract 1 not negetive) find the slope and thr y intercept
Answer:
Y intercept: The y intercept is -1, and the slope is 2/1, or 2.
Step-by-step explanation:
In the equation y=mx + b, m is the slope. B is the y intercept. So, by taking y = mx + b, you get y = 2x - 1. So, 2x is the slope, or [tex]\frac{2}{1}[/tex], and -1 is the y intercept.
In 2016, humans produced 29 billion tonnes of carbon dioxide. This is set to grow by around 40% by the year 2035. How many tonnes of carbon dioxide will be produced by humans in 2035? Give your answer in standard form.
Answer:is it 40.6 billion tonnes of carbon dioxide
Step-by-step explanation:
16m^2+60m-54
Factor
(4, 3); 4x − 5y = 30
HeLp
How do I divide a fraction?
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed
Answer:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Step-by-step explanation:
Steve made 50$ raking leaves 75$ mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
please answer asap!!
Answer:
MON= 15
Step-by-step explanation:
9x+44+6x+3=77
15x+47=77 subtract 47 from both sides
15x=30 divide both sides by 15
x=2
6x+3
(6*2)+3
12+3=
15
Hope this helps
Spooky Story with figurative language, it needs to have what figurative language you used and the words, and the pov and the end
Answer:
THIS IS NOT MATHEMATICS!!!!!
Step-by-step explanation:
Helppppppppppppppppp
Answer:
16
Step-by-step explanation:
since the triangle is the same on both sides, if one side is 16 then the other side is the same.
Do you think that students should be proficient in addition before learning multiplication? answer in 175 words! thank you so much :)
Answer:
Yes, Because if you can't add then you do not know how many times to add the number. For example, 5 x 5= 25
If you don't know what 5+5 equals then how are you supposed to figure out 5+5+5+5+5. That is just common knowledge that you should have learned in your early school years. You need to know how to subtract to divide so it is basically the same concept. I do not know anyone that does not know how to multiply but not add. To me, that does not even seem possible. I know that you have to be really good at adding to multiply too. Cause if you only know how to add up to 100 what happens when you get in high school and college and need to multiply in school over 100? Or thinking higher than that you need to know so that you can do taxes, pay bills, etc... So my answer to this question is yes, you should be proficient in addition to learn multiplication.
The value of a truck is $24,000 when it is brand new. The value depreciates $900 per year. when will the value of the car be less than $17,000? write an inequality to represent the situation, do not solve the inequality, defined the variable.
Answer:
after 8 years
24,000 - 900x < 17,000
the variable is x, the number of years
Step-by-step explanation:
One way is to just subtract 900 from 24000 until it gets to 17000.
1. 23,100
2. 22,200
3. 21,300
4. 20,400
5. 19,500
6. 18,600
7. 17,700
8. 16,800
Another way is to write an inequality.
I know you don't have to solve it, but I'm going to write it anyway.
24,000 - 900x < 17,000
24,000 is the total, or what you start with
900 is what goes down every year
x is the number of years
all of that has to be less than 17,000
To put this into words, it would be: if 24,000 minus $900 times the number of years is less than 17000, what is x?
To find the answer, first find the difference between 24000 and 17000
subtract 2400 from each so so you are left with:
-900x < -7,000
Then to find x, the number of years, divide both sides by -900:
x < 7.777...
since that is the exact answer, and we don't really need that, we can round it up to 8.
x < 8
To learn to do this might be troublesome, but its way faster in the end. I'm not the best at explaining math, but hope this helps :)
Ed's goal is to jog no more than 8 miles this week. He jogged 4 3/4 miles on Monday and 3 3/8 miles on Wednesday.
Answer:
8.125
Step-by-step explanation:
He jogged over 8 miles so he needs to stop jogging he already completed his goal.
The amount dispensed by a soft-drink dispensing machine has a normal distribution with mean μ and standard deviation 0.155 ounce. The mean amount dispensed, μ , can be controlled. At what value should μ be set so that a 16 ounce cup will overflow with probability 0.01? Round your answer to two decimal places.
Answer: [tex]\mu=15.64[/tex]
Step-by-step explanation:
Let x be a random variable that represent the amount dispensed by a soft-drink dispensing machine which has a normal distribution with mean μ and standard deviation [tex]\sigma=[/tex] 0.155 ounce.
To find : μ such that P(X>16)=0.01
Consider P(X>16)=0.01
[tex]P(\dfrac{X-\mu}{\sigma}>\dfrac{16-\mu}{0.155})=0.01[/tex]
Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
Also, z-table , one -tailed z-value for p-value of 0.01= 2.326
Then, [tex]\dfrac{16-\mu}{0.155}=2.326[/tex]
[tex]\Rightarrow {16-\mu}=0.155\times2.326\\\\\Rightarrow {16-\mu}=0.36053\\\\\Rightarrow\ \mu=16-0.36053=15.63947\approx15.64\\\\\Rightarrow\ \mu=15.64[/tex]
How many degrees is 15/16pi radians?
Answer:
192 °
Step-by-step explanation:
Hope this helped! <3
Answer:
168.75°
Step-by-step explanation:
I think
Find x.
P
40
600
L
R
1345753 yessssssssssss
A bookcase measures 13 feet wide and 24 feet tall. What would the bookcase's measurements be on a scale drawing using the scale 3 cm:2 ft?
Answer:
Step-by-step explanation:
Find out what 1 Foot per centimeter is (1.5 centimeters per foot)Multiply 13 by 1.5 to find one side and 24 by 1.5 to find the other side.
Evaluate the expression when x=4 and y=1: 5y
Answer:
5
Step-by-step explanation:
5(1) = 5
Answer:
5
Step-by-step explanation:
There is no x so we only replace y with 1
5(1)=5*1=5p
An arts academy requires there to be 6 teachers for every 96 students and 5 tutors for every 40 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 80 students?
Answer:18 students for each teacher and 10 for each tutor, and if the academy had 80 students it would have 8 tutors
Can someone help me solve this ?
Answer:
$182
Step-by-step explanation:
Let x be the number of students going
Let y be the total cost
Then,
7x=y
7(26)=y
$182=y
Therefore, the total cost would be $182 for 26 students to go.
Hope this gives you an A
Answer:
expression: 7 × (S which is 26)
Total cost: 182
Step-by-step explanation:
plz help as soon as you can
A: -16 < -4
B: 40 > 8
C: -45 < 15
D: 35 > -20
E: Reverse