Answer: Triangle ABC is a right triangle, because it satisfies the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
c^2 = a^2 + b^2
25^2 = 17^2 + 21^2
625 = 289 + 441
625 = 730
Since it is a right triangle, angle A is the angle opposite side a, which is the side that is the length of 17.
A right triangle also has one angle which is always 90 degree, that is the angle opposite the hypotenuse, so the remaining angle is A, which is 90- angle C, which is
90 - 42.3 = 47.7 degree.
Therefore the measure of angle A is 47.7°
So the correct answer is C. 42.3°
Step-by-step explanation:
Name the property that i hown by each equation. A. 6a 4 = 4 6a
B. 30 60 = 15(2 4)
C. 3(8x 4) = 3(4 8x)
D. 4(6a) = (4 · 6)a
A. Commutative property of addition
B. Distributive property
C. Commutative property of addition
D. Associative property of multiplication
Commutative property of addition: The commutative property of addition says that a change in the order of the numbers being added does not affect the sum. We define a commutative property of addition as adding the numbers in any order that will give the same answer.a + b =b + a
Here, a and b is whole numbers, integers or decimals, or even fractions.
Distributive property: According to this property, multiplying the summation of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. In other words, according to the distributive property, an expression of form A (B + C) can be solved as A (B+ C) = AB + AC.Associative property of multiplication: The associative property of multiplication is defined as that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.Read more about the distributive property:
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The complete question is:
Name the property that is shown by each equation.
A. 6a + 4 = 4 + 6a
B. 30 + 60 = 15(2 + 4)
C. 3(8x + 4) = 3(4 + 8x)
D. 4(6a) = (4 · 6)a
6. 175 is ___% of 125
7. ___is 120% of 720
Answer:
6. 175/125=x/100
Cross products equal 125x=17500
Solve for x and you get 140%
7. 20% of 720 is 144. You need to find 120% so add the full 720 (100%) to the 144 and you get 864 (120%)
Step-by-step explanation:
Answer:
6. 140% 7. 864
Step-by-step explanation:
Step for #1:
1.) 175 ÷ 125 = 1.4
2.) 1.0=100 0.4=40
3.) 1.4 = 140%
Answer; 140%
Step for #2:
1.) 120% × 720 = ?
2.) 120 x 720 = 86,400
3.) 86,400 ÷ 100 = 864
Answer; 864
Explain how I do this please and thank you!
Answer:
Step-by-step explanation:
You need to add both of the angles you already know (1 and 2). If you add angle 1 and angle 2 you get 74. This means m < J K M would be 74°.
Answer:
74 degrees
Step-by-step explanation:
You have to add angles 1 and 2
35 +39=74
Therefore, 74 is the answer
Left Riemann sum approximation Question...
The left Riemman sum approximation for f(x) = x^5, between x = 0 and x = 5, considering 5 intervals, is given as follows:
5.3248.
How to obtain the Riemman sum approximation?First we must obtain the Delta value, which is the difference between the bounds of the integral, divided by the number of integrals, thus:
[tex]\Delta_x = \frac{b - a}{n} = \frac{2 - 0}{5} = 0.4[/tex]
Then the values of x at which the numeric values are calculated are obtained as follows:
[tex]x_i = a + \Delta_x(i - 1)[/tex]
Thus the values of x are of:
[tex]x_1 = 0[/tex].[tex]x_2 = 0.4[/tex][tex]x_3 = 0.8[/tex][tex]x_4 = 1.2[/tex][tex]x_5 = 1.6[/tex]The numeric values are given as follows:
f(0) = 0^5 = 0.f(0.4) = 0.4^5 = 0.01024.f(0.8) = 0.8^5 = 0.32768.f(1.2) = 1.2^5 = 2.48832.f(1.6) = 1.6^5 = 10.48576.Then the Riemann sum approximation for the integral is given as follows:
[tex]\sum_{i = 1}^{n} \Delta_x f(x_i)[/tex]
Thus:
0.4(0 + 0.01024 + 0.32768 + 2.48832 + 10.48576) = 5.3248.
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In convex hexagon $ABCDEF$, all six sides are congruent, $\angle A$ and $\angle D$ are right angles, and $\angle B$, $\angle C$, $\angle E$, and $\angle F$ are congruent. The area of the hexagonal region is $2116(\sqrt2 1)$. Find $AB$.
The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.
What is meant by convex hexagon?All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.
There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.
Let the side length be x
The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.
Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.
Let the equation be
2116(√2 + 1) = x²√2 + x²
simplifying the above equation, we get
2116(√2 + 1) = x²(√2 + 1)
2116 = x²
x = 46
Therefore, the value of AB exists 0.46.
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The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.
What is meant by convex hexagon?A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.
The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.
Let the side length be x
The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.
Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.
Let the equation be
2116(√2 + 1) = x²√2 + x²
simplifying the above equation, we get
2116(√2 + 1) = x²(√2 + 1)
2116 = x²
By taking root both sides,
x = 46
Therefore, the value of AB exists 0.46.
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upper and lower bounds question
The upper bound and lower bound of a using the equation will result to
upper bound value 136015.499
lower bound value 136014.500
How to find the upper bound and lower bound valuesEvaluating the given expression a = b + 2c
where
b = 15 to 2 significant figures
c = 68 000 to 2 significant figures
solving for a
a = b + 2c
a = 15 + 2(68000)
a = 136015
The bound values
upper bond value is the largest possible vale of a
upper bond value = 136015.499
lower bound value is the lowest possible value of a
lower bound value = 136014.500
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Four friends, Abe, Bob, Carl, and Darrel, are going to a fun park .They want to ride go-karts. The price to ride the go-karts is $2.15 for 5 minutes,$4.00 10 minutes ,or $6.75 for 15 minutes .Which price is the best deal?Explain why? math question
Answer:
Since in this option the minute is paid at $0.40, the best option is 10 minutes for $ 4.
Step-by-step explanation:
Since four friends, Abe, Bob, Carl, and Darrel, are going to a fun park, and they want to ride go-karts, and the price to ride the go-karts is $ 2.15 for 5 minutes, $ 4.00 for 10 minutes, or $ 6.75 for 15 minutes, to determine which price is the best deal, the following calculations must be performed:
2.15 / 5 = 0.43
4/10 = 0.40
6.75 / 15 = 0.45
Therefore, since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.
What is the x-coordinate of the solution to the system shown?
3x - y = 6
3x + y = 34
The x-coordinate of the solution of the system of equations is x = 20/3
What is the x-coordinate of the solution?Here we have a system of equations below:
3x - y = 6
3x + y = 34
And we want to find the x-cordinate of the solution, so we need to solve this for x.
We can use the elimination method, you can see that if we add both equations we will get:
(3x - y) + (3x + y) = 6 + 34
6x = 40
x = 40/6
We can simplify that fraction to get:
x = 20/3
That is the x-coordinate of the solution.
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whats the awnser i need help
answer:10
Step-by-step explanation:
the graph show it is 1 hour and shows 10 miles and it continues
Answer:
it should be that the miles are 10 times the amount of hours
Step-by-step explanation:
Considering that to bike 10 miles it took 1 hour and to bike 20 miles it took 2 hours it will continue going like that so the miles will always be 10 times the amount of hours
Help please Or else I will give You A holy SLAP
Answer:
z = 450 - 135
z + 135 = 450
Step-by-step explanation:
Han's house is 450 meters from school. Lin's house is 135 meters closer than Han's house from school. So,
450 - 135 = 315 <-- equation to look for
Lin's house is 315 meters from school.
How can -6 1/3 be expressed as the sum of it's integer and fractional parts?
I'm giving 20 points for this one
Answer:
bottom left: -6 + (-1/3)
Step-by-step explanation:
hope this helps :)
What is the Value of P? 9=p÷9
Answer:
p = 81
Step-by-step explanation:
9 = [tex]\frac{p}{9}[/tex] Multiply both sides by 9
9(9) = [tex]\frac{p}{9}[/tex][tex](\frac{9}{1})[/tex] another name for 9 is [tex]\frac{9}{1}[/tex]
81 = p
How do I do this and show work
We are given the expression:
[tex]\frac{\sqrt{2} }{3} = -\frac{2}{3} Sin\theta[/tex]
[tex]\sqrt{2}} = -2 Sin\theta[/tex] [multiplying both sides by 3]
[tex]Sin\theta = \frac{\sqrt{2}}{-2}[/tex] [Dividing both sides by -2]
[tex]Sin\theta = \frac{-1}{\sqrt{2}}[/tex]
which means:
[tex]\theta = Sin^{-1}(\frac{-1}{\sqrt{2}} )[/tex]
[tex]\theta = -Sin^{-1}(\frac{1}{\sqrt{2}} )[/tex]
θ = -45° [because [tex]Sin^{-1}(\frac{1}{\sqrt{2}})[/tex] = 45°]
Hence, the answer is -45° OR (360-45) = 315°
Ben wants to buy a binder and some penicals from the school store.binders coast 2.25 each of the pencials coast 0.75 each.how much will it coasg ben to buy 1 binder and P penicals
The total cost for Ben to buy 1 binder and P pencils is 2.25 + 0.75 P.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Cost of a binder = 2.25
Cost of a pencil = 0.75
We have to find the total cost for Ben to buy 1 binder and P pencils.
Cost of 1 binder = 2.25
Cost of P pencils = 0.75 × P = 0.75 P
Total cost of 1 binder and P pencils = 2.25 + 0.75 P
Hence the total cost for Ben to buy 1 binder and P pencils is 2.25 + 0.75 P.
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Can some one help me with this question its hard :( down below ill give brainliest
and plz explain
x*x is x^2, because the ^2 simply means that the x is multiplying by itself
(Ex. if you had x^3, you would have x*x*x, or if you had x^4, you would have x*x*x*x and it goes the other way around as well, meaning x*x*x*x*x would be x^5)
Answer:
B. x²
Step-by-step explanation:
A number/variable multiplied by itself would be a power, in this case to the second power.
For example:
x*x*x = x³
Find the measure of the missing angle.
Answer:
its 79 k(kkkkkkkkkkkkkkkkk
Answer:
79 i think
Step-by-step explanation:
A Chemistry book is moved 2 meters to the left and then 1 meter to the right. What is its displacement?
Answer:
1 meter to the Left
Step-by-step explanation:
Displacement is the distance between the start and ending points
By having it at first 2 meters to the left, then to move it back 1 meter to the right, you are subtracting from the initial movemnet to the left.
(2-1) = 1 meter to the Left
Using data from 1944 through 2000, the histogram shows the number of years that had a particular number of hurricanes reaching the East Coast of the U.S. For example, in 14 of those years there was exactly one hurricane each year that reached the East Coast of the U.S. What is the median number of hurricanes per year reaching the East Coast from 1944 through 2000
The median number of hurricanes per year reaching the East Coast from 1944 through 2000 is two.
What is median number?Median number is the middle value of a set of numbers. It is the number found at the midpoint of a sorted data set, when all the numbers are arranged in numerical order from lowest to highest. The median number is used to determine the average of a set of numbers, and is often used to represent the central tendency of the data. To calculate the median, first arrange the numbers from lowest to highest, then locate the middle value. If there is an even number of values, the median is the average of the two middle numbers.
This is calculated by taking the middle value of the data set. In this case, there were 18 years with one hurricane, 16 years with two hurricanes, 13 years with three hurricanes, and six years with four hurricanes. Thus, the median number of hurricanes in this data set is two.
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1. A jeweler is creating circular bracelets made of copper wire. If the diameter of each
bracelet is 3 inches, how many inches of copper wire will the jeweler need to make 20
bracelets? Round your answer to the nearest tenth of an inch.
Step-by-step explanation:
divide 3 by 2 because that would be the radius and you need the radius to find the area so do 1.5 times 1.5 times pi (3.14ish) and you should get around 7.07 then times that by 20 because the jewler is making 20 of them and then you should get about 141.4 inches
What is the gradient of 2x 3y 6?
The gradient of the linear equation 2x + 3y + 6 is (3/2).
The gradient of a linear equation in the form of y = mx + c is m, which represents the slope of the line. The slope is defined as the ratio of the change in y to the change in x. It represents the steepness of the line.
The equation 2x + 3y + 6 is not in the form of y = mx + c. It is in the form of Ax + By + C = 0, which is the general form of a linear equation. To find the gradient of such an equation we need to divide -A/B. In this case, the gradient of the line is -2/3.
The gradient of a line gives us the direction of the line, it is the slope of the line. It tells us how steep the line is and if it is going up or down. A positive gradient means the line is going up and a negative gradient means the line is going down.
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Help me please?!!!!!!!!!
Answer:
Last option: f(x) = [tex]\sqrt[5]{\frac{x}{7} }[/tex]
Hope this helps!
( NO LINKS ) How many edges does this prism have? *
A. 4
B. 8
C. 12
Answer:
C. 12
Step-by-step explanation:
Use the square identities to simplify 2 cos^2 x cos^2 x
a.(3-4cos(2x)-cos(4x))/(4)
b.(3+4cos(2x)+cos(4x))/(4)
c.(3+4cos(2x)-cos(4x))/(4)
d.(3-4cos(2x)+cos(4x))/(4)
Answer:
D
Step-by-step explanation:
Totally T's is a company that makes t-shirts. Workers go on strike and the factory is closed. What will happen to the supply of t-shirts?
Answer the 3 questions below related to this scenario.
Complete sentences are not required. Please number each answer.
1. Will there be an increase or decrease?
2. Which way will the graph shift?
3. What is the determinant?
convert y=2(x-5)(x+2) into standard form
Answer:
Step-by-step explanation:
y=2x-5+2
then you do minus 2 on both sides
Hope this helped!
Which statement about the offer are true ? Check all that apply
Answer: The first and third options are correct.
Step-by-step explanation:
On Melissa's 6th birthday, she gets a $2000 CD that earns 7% interest compounded quarterly. If the CD matures on her 13th birthday, how much money will be available?
Answer:
[tex]A\simeq3250.83[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2000
[tex]r = 7\% = \frac{7\%}{100\%}=0.07[/tex]
t = 7 (number of years from 6th to 13th bday)
n = 4 (quarterly in a year)
Then,
[tex]A=2000(1+\frac{0.07}{4} )^{(4)(7)}\\\\A=2000(1+\frac{0.07}{4} )^{28}\\\\A=3250.825792\\\\A\simeq3250.83[/tex]
A hot air balloon is cruising at an altitude of 120 m above ground when it begins its descent the balloon descends at a rate of 4.5 m per minute explain how you would set up the equation to model when the balloon will reach an altitude of 75 m above ground then solve the equation and check your solution
The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.
The balloon will reach an altitude of 75 meters above the ground.
Now, 120-75 =45 meters
Let t be the time to descends 45 meters
So, 120 - 4.5t= 75
= -4.5 t = 75-120
= -4.5t = -45
= t = -45/(-4.5)
= t = 10 minutes
Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
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Coach Taylor asked his team to record the distance they ran during practice. It’s a dot plot so someone plssss help me I’ll give them 10 points!
The range between 3/16 & 3/8 is where the line plot with the difference of daily mileage logged by each racer in a group is still most obvious.
Line plot: what is it?A line graph, liner plot, or line chart is a graph that uses lines to link the individual data points. For a specific time period, quantitative values are displayed as a line graph. Line graphs are widely used in finance to depict the past market movements of a securities or asset.
Here,
calculation
The number line indicates that there's more than or equal to 3 marks when there are 7 markings either on or to the right of 3. The fraction must first have the same denominators.
=> 3/8 x 2 = 6/16
=> 1/2 x 8 = 8/16, 3/8 x 2 = 6/16
=> 5/8 x 2 = 10/16, 1/2 x 8 = 8/16
Since they all have the same numerator, we can now compare them.
=> 3/16 - 1/16 = 2/16
=> 6/16 - 3/16 = 3/16
=> 8/16 - 6/16 - 2/16
=> 10/16 - 8/16 = 2/16
The largest distinction is between 3/16 and 3/8 (6/16 vs. 3/16).
The range between 3/16 and 3/8 is where the line plot with the difference in daily mileage logged by each runner in a group is most obvious.
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The complete question is " Coach Taylor asked his team to record the distance they ran during practice The line plot shows the number of miles the individual members in a group of runners run each day. How many runners run at least 3 miles per day?."
The table shows the lowest elevations for several countries. The
lowest elevation in the United States is -86 meters. Between the
elevations of which two countries is the elevation for the United
States?
Country
Argentina
China
Egypt
Ethiopia
Libya
Morocco
Lowest
Elevation (m)
-105
-154
-133
-125
-47
-55