The shapes don't really play a role in this story, do they. Both points are on the horizontal line y=5 so the distance between them is the absolute difference of the x coordinates, 5- -3 = 8
Answer: 8
The distance between the centers of the circle and triangle is 8.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
Where (a, b) and (c, d) are the two points.
We have,
The centre of a circle = (5, 5)
The centre of a triangle = (-3, 5)
Consider (a, b) = (5, 5) and (c, d) = (-3, 5)
The distance between the centre of a circle and the centre of the triangle.
= √(-3 - 5)² + (5 - 5)²
= √(64 + 0
= √64
= 8
Thus,
The distance between the centres is 64.
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?/6=1/2 Will get Brainliest
Answer:
3/6
Step-by-step explanation:
Answer:
3/6=1/2
Step-by-step explanation:
Cross multiply
x/6=1/2
2x=6
Divide by 2 on both sides
x=3
So, 3/6=1/2
Hope this helps! :)
Translate: The difference 0f 10 and the cube root of x is identical to the square of x
Answer:
100 x
Step-by-step explanation:
Answer the question
Answer:
on my screen the picture is blocked just comment on my answer and i will do it for you
Step-by-step explanation:
If y=25 and x=25. What is x+y+300=?
Answer:
350
Step-by-step explanation:
Y=25 X=25
x + y + 300 = ___
25 + 25 + 300 = 350
Answer:
350
Step-by-step explanation:
given that
y = 25
x = 25
in order to evaluate for the value of
x + y+ 300 = ?
25 + 25 + 300 =350
What is the speed for this question
Answer:
No
Step-by-step explanation:
La pagina e bloccata
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The relationship between speed, distance, and time is ...
speed = distance/time
distance = speed×time
__
Use the given time & distance to find the speed. Apparently, we're to assume the speed remains constant, so the remaining distances will be the product of speed and time.
The plane flies 610 miles in one hour.
Classify each pair of angles listed below as adjacent or vertical.
Given:
Intersecting lines DA and CE.
To find:
Each pair of adjacent angles and vertical angles.
Solution:
Adjacent angles are in the same straight line.
Pair of adjacent angles:
(1) ∠EBD and ∠DBC
(2) ∠DBC and ∠CBA
(3) ∠CBA and ∠ABE
(4) ∠ABE and ∠EBD
Vertical angles are opposite angles in the same vertex.
Pair of vertical angles:
(1) ∠EBD and ∠CBA
(2) ∠DBC and ∠EBA
What parts of the American System are still in effect today
Answer:
Many of the policy tools used by these earlier American systems are obsolete today. But the idea is not. Now, as in the nineteenth and twentieth centuries, national economic development rests on a mutually reinforcing triad of policies to encourage American industry, national infrastructure, and adequate finance.
The principles of economic nationalism, financial stability, and infrastructure development remain influential in modern economic policy.
The American System, also known as the National System or Henry Clay's American System, was an economic plan devised by American statesman Henry Clay in the early 19th century. The plan aimed to promote economic growth and national unity by focusing on three key areas:
Tariff Protection: Clay advocated for high tariffs on imported goods to protect American industries from foreign competition. This policy is still reflected in modern trade agreements, where tariffs are used to balance trade and protect domestic industries.
National Bank: Clay supported the establishment of a strong national bank to regulate the money supply, stabilize the economy, and facilitate commerce. While the specific form of the Second Bank of the United States, which Clay supported, is no longer in existence, the concept of a central bank remains central to modern economic policy.
Internal Improvements: Clay believed in investing in infrastructure projects such as roads, canals, and railroads to improve transportation and connect different regions of the country. This concept is still relevant today, as governments continue to invest in infrastructure to support economic growth and mobility.
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You estimate that there are 45 marbles in a jar. The actual amount is 82 marbles. Find the percent error. Round to the nearest tenth of a percent.
Answer:
45.1
Step-by-step explanation:
The original amount is 82
But the wrong amount is 45
So we will have to calculate the percentage for the error
82-45
37
So %error= 37/82 ×100
=3700/82
=45.121~45.1( to nearest tenth)
So the final answer is 45.1%
Jada sells ground paprika
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is
graphed
What is Jada's profit if she sells 60 kilograms of paprika?
Answer:
If Jada sells 60 kilograms of paprika, her profit would be $200.
Step-by-step explanation:
Note: The missing graph is attached below.
From the graph,
Taking two points
(35, 0) (60, 200)[tex]\mathrm{Slope\:between\:two\:points}:\:\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(35,\:0\right),\:\left(x_2,\:y_2\right)=\left(60,\:200\right)[/tex]
[tex]m=\frac{200-0}{60-35}[/tex]
[tex]m=8[/tex]
The equation of line in slope-intercept form is
[tex]y=mx+b[/tex]
Putting (60, 200) and m = 8 in the slope-intercept form
[tex]200=\left(60\right)\left(8\right)+b[/tex]
[tex]\left(60\right)\left(8\right)+b=200[/tex]
[tex]480+b=200[/tex]
[tex]\mathrm{Subtract\:}480\mathrm{\:from\:both\:sides}[/tex]
[tex]480+b-480=200-480[/tex]
[tex]b=-280[/tex]
Thus
[tex]y=mx+b[/tex]
[tex]y=8x+\left(-280\right)[/tex]
[tex]y=8x-280[/tex]
Putting x = 60
[tex]y=8\left(60\right)-280[/tex]
[tex]y=200[/tex]
Therefore, if Jada sells 60 kilograms of paprika, her profit would be $200.
Answer:
the answer is 35 kilograms
Step-by-step explanation:
got it from khan academy
what is -5% as a decimal
-0.5
Answer: -0.5
Step-by-step explanation:
Answer:-0.05
Step-by-step explanation:
Tia had a garden that was 2 meters long. Her brother used 458 millimeters of the length at one end as a worm farm.
How long is the part of the garden Tia can use for plants now?
1,542 centimeters
154 centimeters
1.642 centimeters
2.542 centimeters
Answer:
1542 millimeters or 15.42.42 centimeters
Step-by-step explanation:
The initial length being 2m converted to millimeters will mean we multiply by 1000 since
1m=1000mm
Therefore, 2m will be 2*1000=2000 mm
Part used was 458mm hence to get the remaining part we get the difference as follows
2000 mm -458 mm=1542 mm
Therefore, the length that can be used now is 1542 mm or 15.42 cm
Simplify the expression (3x^3 y^-2)^-4
If a circle with a diameter of 57.75 m is inscribed in a square, what is the probability that a point picked at random in the
square is in the shaded region? Round the answer to the nearest thousandth.
A. 0.005
B. 0.027
C 0.215
D. 0.785
Answer:
The answer is C
Step-by-step explanation:
This is confusing
(2x+y)^2−(x−2y)^2
Answer:
[tex] {(2x + y)}^{2} - {(x - 2y)}^{2} [/tex]
[tex] < {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} > [/tex]
[tex] < {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} > [/tex]
[tex] {(2x)}^{2} + 2(2x)(y) + {(y)}^{2} - {(x)}^{2} - 2(x)(2y) + {(2y)}^{2} [/tex]
[tex] {4x}^{2} + 4xy + {y}^{2} - {x}^{2} - 4xy + {4y}^{2} [/tex]
[tex] {4x}^{2} - {x}^{2} + {4y}^{2} + {y}^{2} [/tex]
[tex] = {3x}^{2} + {5y}^{2} [/tex]
Hope this will help u...
Look at the attached picture⤴⤴
For which equation is x = 4.5 a solution?
a
-2x - 4 = 13
b
4x - 3 = 12
c
2x - 2.5 = 6.5
d
2x + 0.5 = 11
In the figure below, if C is the center of the circle and 30 < C < 60, then which of the following expresses all possible values of a?
Select one:
A. 50 < a < 70
B. 60 < a < 70
C. 60 < a < 75
D. 75 < a < 90
E. 100 < a < 115
Answer:
Option C.
Step-by-step explanation:
In the given figure C is the center of the circle.
Let A and B are two points on the circle, such that
[tex]\angle A=a^{\circ},\angle B=b^{\circ}[/tex]
Since CA and CB are radius of the circle, therefore ABC is an isosceles triangle.
[tex]\angle A=\angle B=a^{\circ}[/tex]
Using angle sum property,
[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]
[tex]a^{\circ}+a^{\circ}+\angle C=180^{\circ}[/tex]
[tex]2a^{\circ}=180^{\circ}-\angle C[/tex]
Divide both sides by 2.
[tex]a^{\circ}=\dfrac{180^{\circ}-\angle C}{2}[/tex]
It is given that
[tex]30<C<60[/tex]
[tex]\Rightarrow 180-30>180-C>180-60[/tex] (Subtract from 180)
[tex]\Rightarrow 150>180-C>120[/tex]
[tex]\Rightarrow \dfrac{150}{2}>\dfrac{180-C}{2}>\dfrac{120}{2}[/tex] (Divide by 2)
[tex]\Rightarrow 75>a>60[/tex]
[tex]\Rightarrow 60<a<75[/tex]
Hence, the correct option is C.
Which of the following is the best thing to do as a first step in using substitution to solve the system of equations?
(3x + y=-3
2x-3y = -13
A. Solve the top equation for x.
B. Solve the top equation for y.
C. Solve the bottom equation for x.
D. Solve the bottom equation for y.
If three unbiased coins are tossed, then what is the probability of getting one or more heads is
The odds would be 7/8 that at least one would be a heads.
Step-by-step explanation:To find your answer, see each coin flip as unrelated to the last one.
For the first coin flip, you can either get heads or tails. So, there's only 2 possible outcomes.
Flip 1 (Outcome 1): H or T
Flip 1 (Outcome 2): H or T
But when it comes to the second flip, now each outcome has two possible "sub-outcomes" of their own. So there's now four total outcomes.
Flip 2 (Outcome 1) : H, H
Flip 2 (Outcome 2) : H, T
Flip 2 (Outcome 3) : T, H
Flip 2 (Outcome 4) : T, T
On the third flip, there would now be 8 outcomes. As each "sub-outcome" has own of their own.
Flip 3 (Outcome 1) : H, H, H
Flip 3 (Outcome 2) : H, H, T
Flip 3 (Outcome 3) : H, T, H
Flip 3 (Outcome 4 : H, T, T
Flip 3 (Outcome 5) : T, H, H
Flip 3 (Outcome 6) : T, H, T
Flip 3 (Outcome 7) : T, T, H
Flip 3 (Outcome 8): T, T, T
So all but one of the eight outcomes have at least one heads drawn. Due to this, the odds of an heads happening would be 7/8 within all of the possible outcomes.
x -5 -3 4 1 -1 -2 0 2 3 -4
y -10 -8 9 1 -2 -6 -1 3 6 -8
For the data in the table, find the line of best fit and use it to predict the value of y when x = -3.8.
A) -8.53
B) -7.42
C) -0.01
D) 4.20
Answer:
The answer is actually A) -8.53
Step-by-step explanation:
The line of best fit has equation y = 2.1x - 0.55, so plugging in x = -3.8 yields -8.53 for y. I just did my USATestprep and this was the answer.
Lara is putting lace trim around the border of a circular tablecloth. The tablecloth has a diameter of 1.2 meters. What is the length of the lace she needs? Round to the nearest tenth of a meter.
Answer:
3.8m
Step-by-step explanation:
Since Lara is putting lace trim around the border of a circular tablecloth, by the time she finishes she has covered the circumference.
The circumference of a circle is calculated using:
[tex]C=\pi \: d[/tex]
where d is the diameter of the circle.
It was given that the diameter of the circular table cloth is 1.2 meters.
[tex]C=3.14 \times 1.2[/tex]
[tex]C=3.768[/tex]
Therefore the length of the lace she needed is 3.8m
Final answer:
Lara will need 3.8 meters of lace trim for the border of her circular tablecloth, after rounding to the nearest tenth.
Explanation:
The student is asking about the circumference of a circle, which is the total length around the circle. Given the diameter of the tablecloth as 1.2 meters, the circumference can be found using the formula C = πd, where C is the circumference and d is the diameter. The value of π (pi) is approximately 3.14. So the length of lace Lara needs is C = 3.14 × 1.2 meters = 3.768 meters. After rounding to the nearest tenth of a meter, Lara would need 3.8 meters of lace trim.
V+6/2=-8. For each step, choose the reason that best justifies it.
Answer:
V=-11
Step-by-step explanation:
V + 6/2 = -8
You simplify the 6/2 PEMDAS
V + 3 = -8
You subtract 3 from both sides PEMDAS/isolate the variable/combine like terms
V = -11
The calculator shows the result that Luiza got after
evaluating the expression 9 (52+ 18) + 42. She checked
her work by rounding all of the values to the nearest ten and
comparing it to the calculator result. Which is true regarding
her estimate and the accuracy of her calculator result?
1.) The estimated result is 560, which suggests the
calculator is correct.
2.)The estimated result is 740, which suggests the
calculator is incorrect.
3.) The estimated result is 840, which suggests the
calculator is incorrect.
4.) The estimated result is 1,100, which suggests the
calculator is incorrect.
Answer:
Answer 2 is correct, 740
Step-by-step explanation:
The rounded equation would be 10 (50+20) + 40. So if you do the equation then it would be 740
8 books cost \$19.60$19.60dollar sign, 19, point, 60.
Which equation would help determine the cost of 101010 books?
Final answer:
The cost of 10 books can be found by dividing the total cost for 8 books ($19.60) by 8 to get the cost per book ($2.45), and then multiplying that by 10 to get the total cost ($24.50).
Explanation:
To determine the cost of 10 books if 8 books cost $19.60, we need to establish the price per book and then multiply that by 10. First, let's calculate the cost per book by dividing the total cost by the number of books:
Cost per book = Total cost ÷ Number of books = $19.60 ÷ 8 books = $2.45 per book
Now, using the cost per book, we can find the total cost for 10 books:
Total cost for 10 books = Cost per book × 10 = $2.45 × 10 = $24.50
Therefore, the equation that would help determine the cost of 10 books is:
Cost = $2.45 × Number of books
In this case, for 10 books, the cost would be:
Cost = $2.45 × 10
The maximum diameter of a bowling ball is 8.6 inches. What is the volume to the nearest tenth of a bowling ball with this diameter?
Answer:
333 cubic inches
Step-by-step explanation:
Hello, I can help you with this.
according to the question the maximum diameter of a bowling ball is 8.6 inches.
[tex]D_{max}=8.6 inches\\[/tex]
Step one
using this equation find the radius of the ball
remember
Diameter=2*radius
diameter/2= radius
put the value into the equation
8.6 inches/2= radius
radius=4.3 inches
Step two
using the known radius , find the volume
the volume of a sphere is given by
[tex]V=\frac{4}{3}\pi *radius^{3}[/tex]
put the value of radius into the equation
[tex]V=\frac{4}{3}\pi *(4.3\ in) ^{3} \\\\V=\frac{4}{3}\pi *79.507\ in ^{3}\\V=333.03 in ^{3}[/tex]
so, the volume to the nearest tenth of a bowling ball with this diameter is 333 cubic inches.
I hope it helps, have a good day.
Answer:
The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π or v≈332.9 in³
Step-by-step explanation:
To find the volume of the bowling ball, we will follow the steps below;
First write down the formula for calculating the volume of a sphere
v=[tex]\frac{4}{3}[/tex]πr³
where v = volume of the ball and r = radius of the ball
From the equation given, the diameter of the ball is 8.6 inches but radius is half of diameter, this implies that r= d/2 = 8.6/2 = 4.3, that is; radius=4.3 inches.
Let substitutes the value into the equation
v=[tex]\frac{4}{3}[/tex]×π×(4.3)³
v = [tex]\frac{4}{3}[/tex]×π×79.507
v =106.009π
v ≈ 106.0π in³
we can take π=3.14
v = 106.009×3.14
v =332.86826
v≈332.9 in³
The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π or v≈332.9 in³
what is 6x^2+60x+150=0?
6x²+60x+150=0
36x+60x= -150
96x= -150
x= -1.56
Answer: x= -5twice
Step-by-step explanation:
6x2+60x+150=0
Quadratic equation
But firstly,divide all by 6
6x2/6+60x/6+150/6=0
X2+10x+25=0
Variable of 25 that will give 10 is 5&5
Substitute
X2+5x+5x+25=0
X(x+5)+5(x+5)=0
(X+5)(x+5)=0
X+5=0
X= -5 twice
How many Starbucks do you think there were in the US in 20152 Make a quick estimate and write it in the box below
Answer:
0
Step-by-step explanation:
Some president will make Russia mad enough to start a nuclear war and the entire planet will be destroyed, let alone Starbucks.
Answer
uestions below.
A researcher measured the shoe size and math ability of a large group of children. She found that having a larger shoe size does not
indicate that a child has more or less math ability. What does her analysis show
There is no correlation between shoe size and math abity.
There is a correlation between shoe size and math ability. There may or may not be causation. Further studies would have to be done to determine
this.
There is a correlation between shoe size and math ability. There is probably also causation. This is because there is likely an increase in math
ability with an increase in shoe size
Answer:
There is no correlation between shoe size and math abity.
Step-by-step explanation:
The researcher's examination showed that there's no correlation between a child's shoe size and math ability. Hence, a larger shoe size doesn't inherently relate to better or worse math skills. The concepts of correlation and causation are critical in such evaluations.
Explanation:The researcher's analysis indicates that there is no correlation between a child's shoe size and their math abilities. In other words, having a larger shoe size does not necessarily mean that a child would be better or worse at mathematics. The subjects of correlation and causation are important in studies like these. Correlation refers to a mutual relationship or connection between two or more things. In this case, there is no evident correlation between shoe size and math ability. On the other hand, causation would mean that one event (a larger shoe size) is the result of the occurrence of the other event (higher math ability), which in this scenario is not the case.
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The Donut Spot is a local bakery that Steve
and Hannah visit each morning on their way to
work. One day Steve purchased 3 doughnuts
and 2 cups of coffee for $10.45. Hannah
purchased 2 doughnuts and 1 cup of coffee for
$6.17. What is the individual price for a single
doughnut and a single cup of coffee?
Solve the inequality and graph the solution. |x + 7| − 15 < 8
Answer:
Inequality Form:
−30<x<16
Interval Notation:
(−30,16)
Step-by-step explanation:
solve -2 | 3x - 6 | + 5 = 1
Answer:
x = [tex]\frac{4}{3}[/tex], x = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
- 2 | 3x - 6 | + 5 = 1 ( subtract 5 from both sides )
- 2 | 3x - 6 | = - 4 ( divide both sides by - 2 )
| 3x - 6 | = 2
The absolute value function always returns a positive solution, however, the expression inside can be positive or negative, that is
3x - 6 = 2 ( add 6 to both sides )
3x = 8 ( divide both sides by 3 )
x = [tex]\frac{8}{3}[/tex]
OR
- (3x - 6) = 2, that is
- 3x + 6 = 2 ( subtract 6 from both sides )
- 3x = - 4 ( divide both sides by - 3 )
x = [tex]\frac{4}{3}[/tex]
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = [tex]\frac{8}{3}[/tex] : - 2| 8 - 6 | + 5 = - 2| 2| + 5 = -2(2) + 5 = - 4 + 5 = 1 = right side
x = [tex]\frac{4}{3}[/tex] : - 2 | 4 - 6| + 5 = - 2| - 2| + 5 = - 2(2) + 5 = - 4 + 5 = 1 = right side
Thus the solutions are x = [tex]\frac{4}{3}[/tex] and x = [tex]\frac{8}{3}[/tex]
Answer:
x = 1⅓, 2⅔
Step-by-step explanation:
-2 | 3x - 6 | + 5 = 1
-2 | 3x - 6 | = 1 - 5
-2 | 3x - 6 | = -4
| 3x - 6 | = 2
3x - 6 = 2
3x = 8
x = 8/3 = 2⅔
3x - 6 = -2
3x = 4
x = 4/3 = 1⅓