Answers
Answer:
2) d. 60°
3) a. AB
Step-by-step explanation:
Question 2
ΔABC and ΔCDA are congruent because:
they are both right trianglesthey share one side (AC)their hypotenuse are parallel (marked by the arrows)This means the corresponding side lengths and angles are equal.
Therefore,
∠CDA = ∠ABC
⇒ x = 60°
Question 3
The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).
Therefore, the hypotenuse of ΔABC is the line AB.
Related Questions
The average profit on each car sold was $2430, correct to the nearest $10. Calculate the lower bound for the total profit. Write down the exact answer.
Answers
The lower bound for the profit is $2425.
What is the lower bound?When a number of rounded off to the nearest $10, it means that the value of the number in the units place, if greater than 5 becomes zero and one is added to the $10 number. If the number is less than 5, there is no change in the $10 number and the units number becomes 0
The possible values of the average profit are 2425, 2426, 2427, 2428, 2429, 2430. 2431. 2432, 2433, 2434
To learn more about profit, please check: https://brainly.com/question/26181966
#SPJ1
A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t2+88t+6. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at ? second(s) after launch.
(simplify your answer.)
Answers
a) The time taken by the rocket to reach the maximum height is 2.75 seconds.
b) The maximum height of the rocket will be 127 feet.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Given that:-
A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t²+88t+6.a) The time taken by the rocket will be calculated as:-
We have a function h(t)=−16t²+88t+6. Now by taking the derivative of the function with respect to time and equating it to zero we will get the maximum time in which the rocket will reach the maximum height.
h(t) = -16t² + 88t + 6
h'(t) = 0
-32t + 88 = 0
32t = 88
t = 88 / 32 = 2.75 seconds
So the maximum time is 2.75 seconds.
b) Maximum height will be calculated as:-
Put the value of maximum time in the function h(t) = -16t² + 88t + 6 we will get the maximum height.
h(t) = -16t² + 88t + 6
h(2.75) = -16(2.75)² + ( 88 x 2.75 ) + 6
h(2.75) = 127 feet
Therefore the time taken by the rocket to reach the maximum height is 2.75 seconds and the maximum height of the rocket will be 127 feet.
To know more about Speed follow
https://brainly.com/question/6504879
#SPJ1
The diameter of a semicircle is 8 kilometres. What is the semicircle's perimeter?
Answers
Answer:
4pi + 8 km
Step-by-step explanation:
the circumference of teh circle is d*pi = 8pi. since this is a semicircle the circumference is 4pi. then the perimeter is 4pi + 8
Steve travels two times as fast as you. Traveling in opposite directions, they are 120 miles apart after 2.5 hours. Find the rate of travel
Answers
48 x 2= 96
The rate is 96.
Solve, using the substitution method.
3m − n = 2
2m + n = − 7
(−1, −5)
(–10, –1)
(–2, –5)
(−5, 1)
Answers
Step-by-step explanation:
Hello there!
Here is the solution to our problem:
To begin with, we give our equations labels as below;
3m − n = 2 ...................eq.1
2m + n = − 7 ..................eq.2
Then, Let's manipulate eq.2
2m + n = − 7
n = -7 - 2m ...............eq3
And finally substitute the manipulated eq.3 into eq.1
3m − n = 2
3m − (-7 - 2m) = 2
3m + 7 + 2m = 2
5m = -5
m = -1
Substitute the value of m into eq.3
n = -7 - 2(-1)
= -5
In terms of x and y;
(x,y) : (m, n) => (-1, -5)
Therefore (m, n) = (-1, -5)
I hope this helps.
Have a nice studies.
Old MacDonals raises chickens and sheep on his farm. His livestock has a total of 55 heads and 142 legs among them (not counting the farmer). How many chickens and how many sheep does he have
Answers
The number of chickens and sheeps on the Old MacDonals farm is 39 and 16 respectively.
Simultaneous equationlet
x = number of chickeny = number of sheep'sx + y = 55
2x + 4y = 142
Multiply (1) by 2
2x + 2y = 110
2x + 4y = 142
subtract the equation4y - 2y = 142 - 110
2y = 32
y = 32/2
y = 16
substitute y = 16 into (1)
x + y = 55
x + 16 = 55
x = 55 - 16
x = 39
Learn more about equation:
https://brainly.com/question/1214333
#SPJ1
Given the function f(x) = 2x, evaluate ƒ(3).
Answers
Answer:
f(3) = 6
Step-by-step explanation:
you substitute 3 for x.
So you have 2(3) which is 2 multiplied by 3 which is 6
help..and give the right reasons and statement
Answers
The triangles ΔAED and ΔCGF are similar to each other. Then angle ∠A is congruent to angle ∠C.
What is the SAS similarity theorem?ΔABC is similar to ΔDEF only if the ratio of two sides of ΔABC and the corresponding two sides of ΔDEF is equal and the angle included on both sides are congruent.
Suppose the two sides of ΔABC are AB and BC, and that of DEF is DE and EF, then for SAS similarity, we need
and
∠ABC = ∠DEF
In triangles ΔAED and ΔCGF,
AE = CF
AD = CG
∠E = ∠G = 90°
Then the triangles ΔAED and ΔCGF are similar to each other. Then angle ∠A is congruent to angle ∠C.
More about the SAS similarity theorem link is given below.
https://brainly.com/question/22472034
#SPJ1
What is the missing term?
+1 4x -3
3x 12x²?
4x - 3
Answers
Answer:
83
Step-by-step explanation:
41 plus 36 plus 36 is 83 is the answer for me
what is the percent increase of 42 from 30?
Answers
Answer:
40%
Step-by-step explanation:
your answer is *dun dun dun*
30 + 40% = 42
I need some more text apparently so that drumroll at the top and this will hopefully suffice
why does the equation 3x+7=-3x+2+6x has no solution?
Answers
Answer:
[tex]3x+7=-3x+2+6x[/tex]
Combine the like terms on the right side of the equation.
[tex]3x+7=3x+2[/tex]
Eliminate 3x from the equation.
[tex]7\neq 2[/tex]
Seven will never equal 2.
Step-by-step explanation:
[tex]3x+7=-3x+2+6x[/tex]
Combine the like terms on the right side of the equation.
[tex]3x+7=3x+2[/tex]
Eliminate 3x from the equation.
[tex]7\neq 2[/tex]
Seven will never equal 2.
area of sector................................
Answers
Answer:
A ≈ 25.1 cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]
= π × 6² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]
= 36π × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]
= 18 × [tex]\frac{4\pi }{9}[/tex]
= 2 × 4π
= 8π
≈ 25.1 cm² ( to the nearest tenth )
Evaluate:
6-(2/3)^2
A. 17/3
B. 52/3
C. 49/9
D. 50/9
Answers
Answer:
The correct answer is: "Option [D]".
Step-by-step explanation:
Hi student, let me help you out!
....................................................................................................................................
Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations! :)
[tex]\dag\textsf{Acronym \: PEMDAS}[/tex]
P=Parentheses,
E=Exponents,
M=Multiplication,
D=Division,
A=Addition,
S=Subtraction.
Now let's start evaluating our expression, which is [tex]\mathsf{6-(\cfrac{2}{3})^2}[/tex]
According to PEMDAS, the operation that we should perform is "E-Exponents".
Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain [tex]\mathsf{6-\cfrac{4}{9}}[/tex].
See, we raised both the numerator and the denominator to the power of 2.
Now what we should do is subtract fractions.
Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: [tex]\mathrm{\cfrac{6}{1}-\cfrac{4}{9}}[/tex]. Now let's multiply the denominator and the numerator of the first fraction times 9: [tex]\mathrm{\cfrac{54}{9}-\cfrac{4}{9}}[/tex].
See, now the fractions have the same denominator. All we should do now is subtract the numerators: [tex]\mathrm{\cfrac{50}{9}}[/tex].
∴, the answer is Option D.
Hope this helped you out, ask in comments if any queries arise.
Best Wishes!
[tex]\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star[/tex]
[tex]\underline{\rule{300}{5}}[/tex]
Calculate 2/3, to the power of 3, therefore
[tex]\bf{\left(\dfrac{2}{3}\right)^{2}=\dfrac{2\times2}{3\times3}=\dfrac{4}{9} }[/tex]
[tex]\bf{6-\dfrac{4}{9} }[/tex]
Convert 6 to the fraction 54/9.
[tex]\bf{\dfrac{54}{9}-\dfrac{4}{9} }[/tex]
Since 54/9 and 4/9 have the same denominator, join their numerators to subtract them.
[tex]\bf{\dfrac{54-4}{9} \ \ \to \ \ \ Subtract }[/tex]
Subtract 4 from 54 to get 50.
[tex]\bf{\dfrac{50}{9} \ \ \to \ \ \ Answer }[/tex]
Therefore, the correct alternative is "D".
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
please help will mark brainliest
Answers
Answer:
[tex]k > 3~~~\text{or}~~ k < -5[/tex]
Step-by-step explanation:
[tex]~~~~~|3k+3| > 12\\\\\implies 3k+3 < -12~~~~~~\text{or}~~~~~~~~~~3k+3 > 12\\\\\implies 3k < -12-3~~~~~~\text{or}~~~~~~~~~~3k > 12-3\\\\\implies 3k < -15~~~~~~~~~~~\text{or}~~~~~~~~~~3k > 9\\\\\implies k < -\dfrac{15}3~~~~~~~~~~~~\text{or}~~~~~~~~~~k > \dfrac 93\\\\\implies k < -5~~~~~~~~~~~~~~\text{or}~~~~~~~~~~k > 3[/tex]
A distribution has the five-number summary shown below. What is the
interquartile range (IQ) of this distribution?
Answers
Answer:
tiookvgvc. jbjvth kivtcth jjvf h. bkbgv
Answer:
The IQR of the given distribution is
Step-by-step explanation:
The given distribution has the five-number
28, 34, 43, 59, 62
Divide these numbers in two equal parts.
(28, 34), 43,( 59, 62)
Now divide each parenthesis in two equal parts.
(28), (34), 43,( 59), (62)
It means first quartile is the average of 28 and 34. Third quartile is the average of 59 and 62.
The interquartile range (IQR) of this distribution is
Therefore the IQR of the given distribution is 29.5.
[tex]-6 + 3x - 9x^{2}=-16[/tex]
Answers
The solution of x in -6 + 3x - 9x^2 = -16 is [tex]x = \frac{3 \pm \sqrt{369}}{18}[/tex]
How to solve the equation?The equation is given as:
-6 + 3x - 9x^2 = -16
Add 16 to both sides
10 + 3x - 9x^2 = 0
Rewrite as:
9x^2 - 3x - 10 = 0
Solve for x using the quadratic formula
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
So, we have:
[tex]x = \frac{3 \pm \sqrt{(-3)^2 - 4 * 9 * -10}}{2 * 9}[/tex]
Evaluate
[tex]x = \frac{3 \pm \sqrt{369}}{18}[/tex]
Hence, the solution of x in -6 + 3x - 9x^2 = -16 is [tex]x = \frac{3 \pm \sqrt{369}}{18}[/tex]
Read more about quadratic functions at:
https://brainly.com/question/1497716
#SPJ1
Please solve with explanation (high points)
Answers
Real life scenarios of acute angles are:
Sighting a bird on a tree at an angle of 55 degrees.The angle between a ladder and the horizontal groundWhat are acute angles?Acute angles are angles that have a measure less than 90 degrees.
How to create the real life scenario?To create a real life scenario to illustrate acute angles, the following must be put in place:
The scenario must involve an angleThe angle must be less than 90 degrees.Real life scenarios that satisfy the above highlights are:
Sighting a bird on a tree at an angle of 55 degrees.The angle between a ladder and the horizontal groundRead more about acute angles at:
https://brainly.com/question/3217512
#SPJ1
The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 900lbs. Find the probability that the weight of a randomly selected steer is between 1220 and 1320lbs. Round your answer to four decimal places.
Answers
Answer:
0.0369
Step-by-step explanation:
normalcdf (1220,1320,900,200) is 0.0369
the graph of the function f(x) = (x +2)(x + 6) is shown below. On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0). What is true about the domain and range of the function? The domain is all real numbers, and the range is all real numbers greater than or equal to –4. The domain is all real numbers greater than or equal to –4, and the range is all real numbers. The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4. The domain is all real numbers greater than or equal to –4, and the range is all real numbers such that –6 ≤ x ≤ –2.
Answers
Answer: Choice A
Domain = all real numbers
Range = real numbers greater than or equal to -4
=====================================================
Explanation:
The domain is the set of allowed x inputs of a function.
We can replace x with any number we want to get some output for y = f(x)
This tells us the domain is the set of all real numbers.
-----------
The range is the set of numbers y such that [tex]y \ge -4[/tex]
In other words, we can have y = -4 or y > -4
This is because y = -4 is the lowest output possible, as indicated by the vertex point.
Answer:
b
Step-by-step explanation:
evalute the expression (64)1\2
Answers
Answer:
32
Step-by-step explanation:
64×1÷2
64is divided by 2 =32
and 32×1=32
6 liters of a gas has a pressure of 4 atmospheres. The gas's original pressure was 6 atmospheres.
What was the original volume in liters?
Enter your answer as a decimal to the 10th place, like this: 4.2 l
Answers
The original volume of the gas would be 4.00 liters
What is Boyle's law?Boyle's law is a gas law that states that the pressure of a gas is inversely proportional to it's volume with temperature kept constant.
It is represented thus;
P1V1 = P2V2
Where P1 = Original pressure = 6 atmospheres
V1 = Original volume =?
P2 = Final pressure =4 atmospheres
V2 = Final volume= 6 liters
How to calculate the original volumeMake the original volume V1, subject of formula
V1 = P2× V2 ÷ P1
V1 = 4× 6 ÷ 6 = 24 ÷ 6 = 4. 00 liters
Hence, the original volume of the gas is 4.00 liters
Learn more on Boyle's law here:
https://brainly.com/question/26040104
#SPJ1
A circle has a diameter that extends from (4.-6) to (-8,10). What are the coordinates the center of the circle?
Answers
============================================================
Reason:
For now we'll only focus on the x coordinates. They are 4 and -8. Plot them on a number line and find the midpoint. To do this, add those values up and divide by two
(4 + (-8))/2 = -4/2 = -2
The value -2 is right in the middle of 4 and -8; hence it's the midpoint.
Repeat those steps for the y coordinates
(-6+10)/2 = 4/2 = 2
These two midpoints help lead to (x,y) = (-2, 2) which is the midpoint the given endpoints. By extension, it is the center of the circle.
Visual confirmation is shown below. I used the midpoint command in GeoGebra. Desmos is another graphing tool you can use.
The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. What is the equation of the transformed function?
y = (5 x) cubed
y = (negative 5 x) cubed
y = (one-fifth x) cubed
y = (negative one-fifth x) cubed
Answers
The equation of the transformed version of the function y = x³ when the transformation is horizontal stretch by a factor of 1/5, is y = (5x)³.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Here, Horizontal shift (also called phase shift):
Left shift by c units: y = f(x + c)
Right shift by c units: y = f(x - c)
For this case, we're specified that:
Original function: y = x³
Transformation: horizontal stretch by a factor of 1/5
Assuming the horizontal axis is having input variable x, and vertical axis having output variable y = x³, and the fact that a function y = f(x) if is horizontally stretched by a factor k, becomes y = f(x/k) , we have:
y = f(x)
y = x³
y = f (5x)
y = (5x)³
Thus, The equation of the transformed version of the function y = x³ when the transformation is horizontal stretch by a factor of 1/5, is y = (5x)³.
Learn more about transforming functions here:
brainly.com/question/17006186
#SPJ1
Answer: It's D
Step-by-step explanation:
y = [-1/5x]^3 on edge
If line m and n are parallel and line p is the transversal, Find out the angles a, b and c from the
Answers
Answer:
∠A = 55°∠B = 55°∠C = 125°Wxndy~~
PLEASE HELPP!!! I WILL MARK AS BRAINLIEST!!!
Which expression represents the area of the rectangle?
130x
130x + 3
130x2 + 30x
Answers
Answer:
130x+3
Step-by-step explanation:
The area is (10x)*(13x+3). 10x*13x=130x squared. So, it is 130x+3.
Answer: C: 130x2 + 30x
Step-by-step explanation:
In a certain board game, a 12-sided number cube
showing numbers 1 through 12 is rolled. In this game, a
number cube must be rolled until a number 9 or higher
appears.
What is the probability that the first such number is on
the 3rd roll?
Answers
Answer:
4/27 ezzzzzzzzzzzzzzzzzzzz
Urgent help……………………:::::::::::
Answers
Answer:
The percentage of people enjoy New years Eve only = 3%
Step-by-step explanation:
The data indicates, The percentage of people enjoy New years Eve = 28%
The percentage of people enjoy New years Eve and Memorial Day = 12%
The percentage of people enjoy New years Eve and Forth of July = 18%
The percentage of people enjoy Enjoy all the three = 5%
The percentage of people enjoy New years Eve only
= The percentage of people enjoy New years Eve
- The percentage of people enjoy New years Eve and Memorial Day
- The percentage of people enjoy New years Eve and Forth of July
+ The percentage of people enjoy Enjoy all the three
= 28% - 12% - 18% + 5%
= 3%
The Yasuda family bought a toy that cost t dollars and a game that cost g dollars. Both were on sale. Which of these methods could the clerk use to calculate their total bill?
Answers
The equation that the clerk can use to calculate their total bill is t + g.
How to illustrate the equation?From the information given, Yasuda family bought a toy that cost t dollars and a game that cost g dollars.
The equation to calculate their total bills will be:
= t + g
where,
t = cost of toy
g = cost of game.
In this case, the equation that the clerk can use to calculate their total bill is t + g .
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
√-11
please solve this perblom
Answers
Answer:
3.31662479
Step-by-step explanation:
3.31662479
Pls I do not know how to rotate without tracing paper
Answers
Answer:
Point A:
(1, 3) ------> (3, -1)
Point B:
(3, 3) ------> (3, -3)
Point C:
(3, 2) ------> (2, -3)
Step-by-step explanation:
To find the coordinates of a 90° clockwise rotation, use the following:
[tex](x, y)[/tex] -----> [tex](y, -x)[/tex]
This means you will switch the x and y coordinates of the point and then take the opposite of the x coordinate (if it is positive make it negative and if it is negative make it positive).
Point A:
(1, 3) ------> (3, -1)
Point B:
(3, 3) ------> (3, -3)
Point C:
(3, 2) ------> (2, -3)