Given A= (-3,6) and B=(10,-8) what is the length of AB
[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]
Andy made 7 baskets during a basketball game each basket was worth 2 or 3 points how many different numbers could represent the total points scored by jordan
Answer:
2+3+2+3+2+3+2=17 because each was worth 2 or 3
If x is directly proportional to y, and x = 4.5 when y = 3, find
(i) an equation connecting x and y
(ii) the value of x when y = 6,
(iii) the value of y when x = 12.
Answer:
1. don't know what you want for the first one but..
2. x=9
3. y= 8
Step-by-step explanation:
x = 1.5y
ex y=2 x=2
Marco travels from his house to the beach. The total distance he travels
is 120 miles. In the first hour, Marco traveled 54 miles. What percent of
the distance did he travel the first hour?
Answer:
45%
Step-by-step explanation:
Since he drove 54 miles out of 120 in the first hour, the equation for this would be 54/120×100. This equals 45 and that is the percentage
a number is greater than 12
Answer:
anything above 12
Step-by-step explanation:
would be greater than 12. 13, 14, 16...etc
Answer:
n > 12
Step-by-step explanation:
Represent the number by n. Then "a number is greater than 12" expressed symbolically is n > 12.
Multiple choice easy question. Please answer.
Answer:
I belive it should be # 3 i might be wrong thow.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Car one rotated 90 degrees counterclockwise would be to car 4
then, it rotated 180 degrees clockwise would be car 2.
the answer is Car 2
Tanya's father travels every week for business. He has traveled around the
world many times. Over the past 10 years, he has accumulated approximately
460,000 frequent flyer miles. How is that number expressed in scientific
notation?
A. 4.6 × 103
B. 4.6 × 10 4
C. 4.6 × 10 5
D. 46 × 10 5
The correct answer would be: 4.6 x 10^5
Brainliest and 50 points
are the polygons similar?
A) no; there is not a consistent ratio
B) yes; the scale factor from ADKG to WMLZ is 3/4
C) yes; the scale factor from ADKG to WMLZ is 3/2
D) yes; the scale factor from ADKG to WMLZ is 2/3
Answer:
A) no; there is not a consistent ratio
Step-by-step explanation:
If the polygons are similar than the corresponding sides will have similar ratios.
The corresponding sides of the polygons are (AD and WM) and (DK and ML)
The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33
The corresponding sides do not have a common ratio therefore the polygon is not similar
please help me solve this?
Answer:
there are none (sorry if I got it wrong)
Step-by-step explanation:
also, there is none because there other numbers are really close to the other number
outliers are a number that is really small in the pack of numbers and outliers can also be the number that is really big for example I have the numbers 3 24 28 32 43 and then 100. 3 and 100 are outliers because one number (3) is really small from the other numbers are bigger and one number (100) is really big from the other number but sometimes there are no outliers
Bilquis is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 29 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 17∘
, and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 31∘
. If her eyes are 1.51 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest meter if necessary.
Using relations in a right triangle, it is found that the height of the antenna is of 10 m.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the vertical height from her eyes to the top of the antenna is the side opposite to the angle of 17º, while the adjacent side is the horizontal distance of 29 m, hence:
[tex]\tan{17^\circ} = \frac{h}{29}[/tex]
[tex]h = 29\tan{17^\circ}[/tex]
[tex]h = 8.87[/tex]
Adding the eye height:
h = 8.87 + 1.51 = 10.38 m.
Rounding to the nearest meter, the height of the antenna is of 10 m.
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Answer:
9
Step-by-step explanation:
I just took the test.
C.P and R are supplementary angles. If the measure of ZR is
37º, what is the measure of ZP? Picture blow
Answer:
143
Step-by-step explanation:
supplementary angles add to 180
37+x=180
x=143
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
60 sq m
Step-by-step explanation:
Area of the figure
= Area of top rectangle + Are of the bottom rectangle
= 5*3 + 5*(3+3+3)
= 15 + 5*9
= 15 + 45
= 60 sq m
Answer:
60 m²
Step-by-step explanation:
Area of the figure
= Top rectangle vertical + Bottom rectangle horizontal
= 3 x 5 + 5 x 9
= 15 + 45
= 60 m²
Solve for x. Please help and please show work, thanks!
Answer: 5
Step-by-step explanation:
We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).
[tex]\frac{10}{10+12} =\frac{4x-5}{33}[/tex]
[tex]\frac{10}{22} =\frac{4x-5}{33}[/tex]
Now I am going to cross multiply:
10 * 33 = 22(4x - 5)
330 = 88x - 110
440 = 88x
5 = x
x = 5
Please help, I am struggling with this. Question is in image.
Answer:
-7 15/17. 49 sq. 7.7 187/24
Step-by-step explanation:
thats the order least to greatest 187/24= 7.79 and 49 sq = 7
Compare million, billion, and trillion. What is the largest number among them? What is the smallest number among them?
What's the q1 and q2????
Answer:
Q1-298
Q2-422
Step-by-step explanation:
The group thought there was enough food for all 5 group members to
complete the trip, with each person getting the required 5600 calories per
day. However, they discover that they are missing 28,800 calories.
Using the map, create a plan a for the rest of the trip that includes taking as
many group members as possible to the South Pole, while sending the rest of
the group members directly back to base camp. Remember that each person
must have 5600 calories of food per day until he or she gets back to base
camp.
Be sure to explain how you came up with your plan. Include all work
necessary to support your answer.
To create a work plan for the food intake of each person in the group, there needs to be the required 5600 calories and there needs to be a replacement for the caloric deficit.
What is a Work Plan?This refers to the formal roadmap that is created for a project for the purposes of streamlining it.
Based on the fact that a map was not provided, there is insufficient data to solve the problem, so a general overview will be given about a work plan.
Because the group is 28,800 calories short and needs to complete the trip with their five members, then they need to ration their supplies.
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Aline passes through the points (3,18) and (8,23). Write a linear function rule in terms of x and y for
this line.
The linear function rule is y=
Answer:
y= x+15
Step-by-step explanation:
I am pretty sure this answer is right
M= slope
B= the Y-intercept
I used a graphing calculator to figure this out
The slope is 1/1 with equals 1
and the y intercept is at (0,15) whitch we just use 15
plug them in and you get
y= x+ 15
(Don't need the 1 is frount of x)
A college student was offered two different summer jobs. Job A would last 20 weeks and pay $300
per week with weekly raises of $10. Job B would last 5 months and pay $1200 per month, with monthly
raises of 10% of the previous month's salary. How much more would the college student earn by
accepting Job A?
Answer:
600yan lang po thank you
Answer:
$574
Step-by-step explanation:
[tex]\begin{aligned}\text { week } 1=w_{1} &=300 \\w_{2} &=300+10=310 \\w_{3} &=310+10=320=300+2 \times(10)\end{aligned}[/tex]
It’s obvious here that we add 10 each time to get the next week’s payment so we Are dealing an arithmetic sequence where its first term is 300 and its
Common difference is 10
Then In the twentieth week the payment will be :
[tex]\begin{aligned}W_{20} &=w_{1}+(20-1) \times(10) \\&=300+19 \times(10) \\&=490\end{aligned}[/tex]
Now we apply the formula for the sum of Consecutives terms of an arithmetic sequence :
[tex]\begin{aligned}S_{1} &=20 \times\left(\frac{w_{1}+w_{20}}{2}\right) \\&=20 \times\left(\frac{300+490}{2}\right) \\&=7900\end{aligned}[/tex]
Now let move on to Job B:
[tex]\\\\\begin{aligned}\text { month1 }=& m_{1}=1200 \\m_{2} &=1200+1200 \times \frac{10}{100}=1200 \times(1,1)=1320 \\m_{3} &=m_{2} \times(1,1)=\left[m_{1} \times(1,1)\right] \times(1,1)=m_{1} \times(1,1)^{2} \\m_{4} &=m_{1} \times(1,1)^{3} \\m_{5} &=m_{1} \times(1,1)^{4}\end{aligned}[/tex]
It’s obvious here that we multiply by (1.1) each time to get the next month’s payment so we Are dealing a geometric sequence where its first term is 1200 and its Common ratio is 1.1
Now we apply the formula for the sum of Consecutives terms of an geometric sequence :
[tex]\begin{array}{l}S_{2}=m_{1} \times\left(\frac{1-1,1^{5}}{1-1,1}\right) \\\approx 7326\end{array}[/tex]
Finally we can say confidently say that he would earn more :
7900 - 7326 = $574.
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.
Answer:
Domain: -2≤ x≤ 0
Range: -2≤ x≤ 2
The relation is a Function
Step-by-step explanation:
The Domain is all the x values.
All the x values are either equal to or greater than -2, and less than or equal to =-0
The Range is all the y values.
Apply the same logic as the domain.
A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function
A family goes to a fundraiser for their local library. Each ticket is $12, and they give a single donation of $10
at the end of the evening. There are six members of the family, and they spend a total of $82. Which equatic
could represent this situation?
Answer:
x=12y + 10 or even just entirely solved... 82=12(6) +10
Step-by-step explanation:
Answer:
ImnotI'm not sure
this is the same im on
Step-by-step explanation:
The sequence below is arithmetic:
{3, -6, -15,-24}
True
False
Answer:
True
Step-by-step explanation:
For the sequence to be arithmetic there must be a common difference d between consecutive terms.
a₂ - a₁ = - 6 - 3 = - 9
a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9
a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9
There is a common diffence between consecutive terms, thus the sequence is arithmetic.
PLEASE ANSWER! (4 - QUESTIONS) 50 POINTS + WILL RECEIVE BRAINLIEST!
1. The volume of a cylinder is 461.58 cubic inches. If the cylinder has a height of 3 units, what is the radius of the cylinder? Use 3.14 for pi.
2. Find the volume of the cone that has a height of 12 and diameter of 12. Use 3.14 for pi. Round your answer to the nearest tenths place.
3. Find the volume of the hemisphere that has a radius of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.
4. The volume of a sphere is 407.51 cubic units. What is the diameter of the sphere?
The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
a) Volume of cylinder = π * radius² * height
461.58 = 3.14 * radius² * 3
radius = 7 in
b) Volume of cone = (1/3) * π * radius² * height
Volume = (1/3) * 3.14 * (12/2)² * 12
Volume = 452.2 unit³
c) Volume of sphere = (4/3) π * radius³
Volume of sphere = (4/3) * 3.14 * 7³
Volume = 1436 in³
d) Volume of sphere = (4/3) π * radius³
407.51 = (4/3) * 3.14 * radius³
Radius = 7.3
Diameter = 14.6 units
The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units
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Factor the trinomial 6x^{2} + 5x - 25. Which of the following is a factor?
Answer:
its (3x-5)
Step-by-step explanation:
Answer:
C. (3x - 5)
Step-by-step explanation:
1. Find a solution pair that gives the sum of b (5):
-10 + 15 = 5
2. Break the expression into groups:
(6x² - 10x) + (15x - 25)
3. Factor out the common factor in each group:
2x(3x - 5) + 5(3x - 5)
4. Factor out the common pair (3x - 5) using the distributive property:
(3x - 5)(2x + 5)
hope this helps!
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?
The constant rate = 20 ft / 5 seconds = 4 feet per second
Find the chart that shows an increase of 4 feet for every second the balloon travels.
The height of the balloon over time is modeled by the linear equation y = 4x, so, the accurate choice is option D.
What are linear equations?A linear equation arises when multiple variables are connected, resulting in a linear model when graphed. This model is characterized by having a degree of one for each variable involved.
Imagine a hot air balloon taking off from the ground, ascending at a consistent speed. After 5 seconds, its altitude reaches 20 feet. The balloon maintains this rate of ascent.
The rate per second is calculated as follows:
m = 20/ 5
m = 4 ft/sec
Consequently, the equation is formulated as:
y = 4x
For x = 10 seconds, the corresponding y value will be:
y = 4 × 10
y = 40 ft
Similarly, for
x = 20 seconds:
y = 4 × 20
y = 80 ft
Hence, the linear equation representing the balloon's height over time is
y = 4x. The accurate option among the choices is D.
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Jessica has $40 to spend at the book fair. She buys 2 notebooks for $3 8. each and wants to spend the rest of her money on books. How many books can Jessica buy if each book costs $8? How much money does Jessica have left over?
Answer:
She can buy 4 books
Step-by-step explanation:
If each notebook is $3, and she bought two, she'd be left with $32 because 40-6=32. Simply multiply 8 by 4 to get 32, which is the rest of her money. Hope this helps!
2 Demi teaches drum classes. The equation B = 50t gives the dollar amount she earns as a function of the time in hours she teaches. Demi also takes spin classes. The graph shows how much she has left on a gift card as a function of the time in hours Demi is in class. Does Demi earn more teaching 1 hour of drum class or spend more taking 1 hour of spin class? Show your work.
The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.
What is the Slope intercept form?The equation of a straight line whose slope and y-intercept are given. Suppose a non-vertical line has a gradient or slope of m and y-intercept equal to c. Let (x, y) be any point on the line and a line intersect the y-axis at the point (0, c).
y = mx + c
Using the slope-intercept form (y = mx + b) to find the function of the graph,
B = -100/5t + 500
Or B = -20t + 500.
After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching
After 1 hr or t = 1 Demi spends B = -20(1)
-$20 on spin class.
If it’s asking just the rate of increase or decrease, the slope of 50t is greater than the slope of -20t.
Thus, The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.
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Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%. how much will the shoes be worth
in 2 months (8 weeks)?
Answer:
$143.70
Step-by-step explanation:
The multiplier of value each week is (1 -8%) = 0.92. After 8 weeks, the original value will have been multiplied by 0.92^8.
__
The value of the shoes after 8 weeks is ...
$280(0.92^8) ≈ $143.70
What’s is the right answer choice to the picture.
Q has coordinates
(2,-4)P is 6units left
P(2-6,-4)=(-4,-4)R is 7units up
R(2,-4+7)R(2,3)Option B
Answer:
B) P (-4, 4) and R (2, 3)
Step-by-step explanation:
Q = (2, -4)
If ΔPQR is a right triangle, then
Missing point 1 will be on the x = 2 lineMissing point 2 will be on the y = -4 lineIf PQ is 6 units, then
P = (2-6, -4) = (-4, -4) or
P = (2, -4+6) = (2, 2)
If QR is 7 units, then
R = (2-7, -4) = (-5, -4) or
R = (2, -4+7) = (2, 3)
Therefore, P (-4, 4) and R (2, 3)
find the exact value of 2sin30 cos30
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]
Now we just multiply all the together and we get:
[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]
