Answer: x = 11
Step-by-step explanation:
Complementary angles = 90*
Set the two equations equal to 90. Solve
4x + 6 + 4x - 4 = 90
8x +2 = 90
8x = 88
x = 11
Plug it in to see if it makes equation true
4 (11) + 6 + 4 (11) - 4 = 90
44 + 6 + 44 - 4 = 90
50 + 40 = 90
90 = 90
If k is one of the roots of x - 4k - 20/x = 0, how do I determine the possible values of k?
9514 1404 393
Answer:
no real solutions; k = ±i(2/3)√15
Step-by-step explanation:
If k is one of the roots, then substituting it for x will satisfy the equation:
k -4k -20/k = 0
Multiplying by k gives ...
-3k^2 -20 = 0
k^2 = -20/3 = -6 2/3
There are no real values of k such that this is true.
__
If we allow k to be imaginary, then ...
k = ±i√(20/3) = ±i(2/3)√15
Possible imaginary values of k are ±(2/3)√15.
Find the value of x 29 (6x + 1)
Answer:
x=10
Step-by-step explanation:
Well know that the 6x+1 angle plus the 29 degree angle are eqail to 90 degrees becasue that red square means that that whole angle is equal to 90 degrees. Now we can make a equation to represent this:
6x+1+29=90
6x+1=61
6x=60
X=10!
I need help with this someone please
Two angles whose measures add up to 180 degrees is called...
A figure is shown. 157.3° What is the measure, in degrees, of angle x?
A 22.7
B. 67.3
C. 112.7
D 202.7
pls pls help i will give brainliest
Answer:
give me a brainliest now
Step-by-step explanation:
How many feet of fence are needed to enclose a circular race track 1.5 miles long? (Hint: There are 5,280 feet in a mile.)
Answer:
I think it’s 7,920 feet
Step-by-step explanation:
I did 1.5 miles times the amount of feet ( 5,280 )
And got 7,920
I need assistance!!!!
Answer:
Step-by-step explanation:
Because midpoints were used to make similar triangles we can say
AC=2(DE)
5x+12=2(9x-20)
5x+12=18x-40
-13x+12=-40
-13x=-52
x=4
AC=5x+12
AC=5(4)+12
AC=20+12
AC=32
Answer:
Step-by-step explanation:
DE = (1/2) * AC {Midpoint theorem}
[tex]9x - 20 =\frac{1}{2}(5x + 12)[/tex]
2(9x - 20) = 5x + 12
2*9x - 2*20 = 5x + 12
18x - 40 = 5x + 12
18x -5x - 40 = 12
13x - 40 = 12
13x = 12+40
13x = 52
x = 52/13
x = 4
AC = 5x + 12
= 5*4 + 12
= 20 +12
AC = 32
Emily collects and trades rocks. She starts with 8x2 rocks, for some number x, and then buys 7x4. She then trades away x5, then gives away 9x, and finally sells another 5 rocks. Write an expression for the number of rocks Emily now has in standard form. Group of answer choices
A.−x5+7x4+8x2−9x−5
B.8x2−5+7x4−9x−x5
C.−9x+8x2+7x4−5−x5
D.−5−9x+8x2+7x4−x5
Answer:
-x^5 + 7x⁴ + 8x² - 9x - 5
Step-by-step explanation:
For the question given:
Rocks traded, sold or given away are denoted by negative values, '-' while rocks bought or purchased are diniywd as positive, '+'
Starting = 8x² ;
Purchase = + 7x⁴ ;
Trades = - x^5
Gives away = - 9x
Sells = - 5
The number of rocks Emily now has :
8x² + 7x⁴ - x^5 - 9x - 5
In standard form:
Arrange in order of power :
-x^5 + 7x⁴ + 8x² - 9x - 5
A rectangle with vertices (3,-2),(3,-4), (7, -2), (7, -4) is reflected across the x-axis and then rotated 90° counterclockwise. What other transformations produce the sameimage?
Answer: A reflection about the y-axis and a clockwise rotation of 90° around the origin.
another example is:
A counterclockwise rotation of 90° around the origin, and then a reflection about the y-axis.
Step-by-step explanation:
Let's do this for a single point because it is essentially the same.
Let's use the point (3, -2)
First, we have a reflection across the x-axis, this only changes the sign of the y-component.
Then the new point will be: (3, -(-2)) = (3, 2)
Notice that this point is on the first quadrant.
Now we do a 90° counterclockwise rotation.
Then we move to the second quadrant, and we change the order of the components in the point (and because we are in the second quadrant, the x-component is negative and the y-component is positive)
Then the new point is (-2, 3)
Now, another transformation that is equivalent to this one is to do first a reflection about the y-axis, so we only change the sign of the y-component
Then the new point is (-3, -2)
And now we are in the third quadrant.
and then we do a rotation of 90° clockwise, which moves our point to the second quadrant, changes the order of the components and leaves the y-component positive and the x-component negative, then the new point is:
(-2, 3)
Same as before.
(notice that we used the same transformations, but applied to different line and direction of rotation)
Another example is if we first start with a counterclockwise rotation of 90° around the origin, the original point (3, -2) is on the fourth quadrant, so this rotation leaves our point in the first quadrant, so we change the order of the components and both of them will have a positive sign.
The new point is: (2, 3)
Now let's do a reflection about the y-axis, which changes the sign of the x-component.
Then the final point is (-2, 3), same as before.
And there are a lot of other transformations that will be equivalent to this ones, these are just two examples.
Tell whether the triangles are similar.
Yes or No
Answer:
no. they are not. add up the angles on each triangle to find x, if the angles are not exactly the same, then they are not similar
Divide 1 hour in the ratio 1 : 9 : 10
3 minutes; 27 minutes; 30 minutes
0.05 minutes; 0.45 minutes; 0.5 minutes
30 minutes; 27 minutes; 3 minutes
Answer:
3 minutes; 27 minutes; 30 minutes
Step-by-step explanation:
Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.
Therefore,
[tex]x + 9x + 10x = 1 \: hour \\ \\ 20x = 60 \: minutes \\ \\ x = \frac{60 \: minutes}{3} \\ \\ x = 3 \: minutes \\ \\ 9x = 9 \times 3 = 27 \: minutes \\ \\ 10x = 10 \times 3 = 30 \: minutes[/tex]
Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:
3 minutes; 27 minutes; 30 minutes
please help before tomorrow
write an equation of the line that passes through the given point and is perpendicular to the given line
(0,3), y = -5x + 2
Answer:
y = 1/5x + 3
Step-by-step explanation:
start by finding the opposite-sign reciprocal of the slope, which is 1/5 in this case. then, find the y-intercept, which is 3 in this case because of the point it gave us.
Corey was scuba diving while his friend Zoe was climbing a mountain. If Corey was at an elevation of -155 feet, and Zoe was at an elevation of 560 feet, what was the difference in elevation (in feet) between Corey and Zoe?
Answer: 715 feet
| -155 - 560 | = 715ft
In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____.
Answer:
100°
Step-by-step explanation:
Anders Celsius used centigrade temperature scale along with mercury thermometers with a fixed boiling point of water at zero, he also used a fixed freezing point of water at the mark of 100-degree. This new scale was described in the year 1742 to Swedish Academy of Sciences.
Answer:
100 percent
Step-by-step explanation:
edge 2021
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Answer:
13.8 ounces of salt
Step-by-step explanation:
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Step 1
Note that:
1 shaker = 0.6 ounces of salt
8 shakers = x
Cross Multiply
x = 8 × 0.6 ounces of salt
x = 4.8 ounces of salt
Step 2
The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
This is calculated as:
18.6 ounces of salt - 4.8 ounces of salt
= 13.8 ounces of salt
3(3y - 10) = 6 I need the answer please
Answer:
If you wanted to simplify the equation:
9y - 30 = 6
If you wanted to solve for y:
y = 4
Step-by-step explanation:
3(3y - 10) = 6
9y - 30 = 6
Add 30 to both sides of the equation:
9y - 30 + 30 = 6 + 30
Simplify:
9y = 6 + 30
9y = 36
Divide both sides of the equation by 9:
9y ÷ 9 = 36 ÷ 9
Cancel terms that are in both the numerator and denominator:
y = 36 ÷ 9
y = 4
a number cube has sides numbered 1 through 6 the probability of rolling a 2 is 1 out of 6
Yes, that is a correct statement.
But im left wondering what is the darn question
Marking brainliest.
Does anyone listen to indie music? If so, drop your Spotify/indie music please! Need new music
Answer:
is nirvana considered indie? idrk--- but i listen to that band and a lot of rock songs :)
Step-by-step explanation:
Answer if u can plz
Answer:
180 Area
Step-by-step explanation:
15 times 12 = 180 which would be the area:
may i have Brainliest?
Answer:
180 Area
Step-by-step explanation:
15 times 12 = 180 which would be the area
The city council in Middle field wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each term to the example it best describes. Each tile may be used only once
Answer:
Representative example
Population
Not a Representative example
Answer: Drivers who reside in Middle field : NOT a Representative Sample
Residents of Middle field : Population
Residents randomly chosen from the town register : Representative Sample
Step-by-step explanation:
This is the actual correct answer
The figure below is made with half of a cylinder topped with a right triangular prism.
4 ft
10 ft
3 ft
Which measure is closest to the volume of the figure?
1
Answer:
3. 261 ft³
Step-by-step explanation:
Volume of the figure = ½(volume of cylinder) + volume of triangular prism)
✔️Volume of cylinder = πr²h
r = 3 ft
h = 10 ft
Volume of cylinder = π*3²*10 = 282.74 ft³
✔️Volume of right triangular prism = ½*b*h*l
b = 3*2 = 6 ft
h = 4 ft
l = 10 ft
Volume of triangular prism = ½*6*4*10 = 120 ft³
✔️Plug in the values into the equation:
Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³
A shop keeper buys 20kg of sugar at Birr y per kg. he sells 16kgs at Birr (y+3/4) per kg and the rest at Birr (y+1) per kg. what is his profit.
Answer:
The profit is $16
Step-by-step explanation:
From the question, we have 20 kg at Birr y per kg
The cost price is thus;
20 * y = 20y Birr
Now for the selling price;
16 kg was sold at (y + 3/4) Birr per kg
we have here that;
16 * y + 3/4 * 16
= 16y + 12
The rest is thus; 20 - 16 = 4 kg
The rest of this at (y + 1) per kg will be
4 * (y + 1) = 4y + 4
The total selling price is thus;
4y + 4 + 16y + 12 = 20y + 16
The profit is the difference between the selling and cost price
We have this as:
20y + 16 - 20y
= $16
The profit of the shopkeeper is $16.
Given that,
A shopkeeper buys 20kg of sugar at Birr y per kg.
He sells 16kgs at Birr (y+3/4) per kg and the rest at Birr (y+1) per kg.
We have to determine,
What is his profit?
According to the question,
The total quantity of sugar he buys is 20kg at y birr y kg.
Then the cost of sugar is,
[tex]\rm = 20 \times y\\\\= 20y[/tex]
And he sells 16kgs at Birr (y+3/4) per kg and the rest at Birr (y+1) per kg.
Then, the cost of sugar he sells is,
[tex]= \rm 16(y+\dfrac{3}{4})\\\\= 16y+ 16\times \dfrac{3}{4}\\\\= 16y + 12[/tex]
Left quantity of sugar = The total quantity of sugar - quantity of sugar he sells,
Left quantity of sugar = 20 kg - 16 kg
Left quantity of sugar = 4 kg
The rest of this at (y + 1) per kg will be,
[tex]\rm = 4 \times (y + 1) \\\\= 4y + 4[/tex]
The total selling price is thus;
[tex]\rm =4y + 4 + 16y + 12 \\\\= 20y + 16[/tex]
Therefore,
The profit is the difference between the selling and cost price is,
[tex]\rm = 20y + 16 - 20y\\\\= 16[/tex]
Hence, The required profit of the shopkeeper is $16.
For more details refer to the link given below.
https://brainly.com/question/17710675
which number line shows the solution to x < 5
Answer:
The line which shows the solution to x < 5 is
B.
Hope it will help :)❤
HELP ILL GIVE 50 POINTS.!!
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (5, 3072)(5,3072).
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2 hopefully this helped.
Answer:
y=3(4) x
Step-by-step explanation:
He paid a deposit of £120 and made 30 monthly payments of £12.
How much was the total cost?
Answer:
480
Step-by-step explanation:
30x12= 360
360+120=480
what is this symbol called plz answer urgent
AB is congruent to AC that is ur Answer
Eight less thsn a number divided by three is twelve equation pleaseeee
An albatross is 5 meters above the surface of the ocean. How does its distance from the surface compare to the vertical distance from the eyes of: The jumping dolphin? The flying seagull? The octopus?
Answer:
The jumping dolphin -- changes
The flying seagull -- same
The octopus -- same
Step-by-step explanation:
The distance of the Albatross from the sea surface when compared to the vertical distance from the eyes of the :
The jumping dolphin :
As the dolphin jumps out from the sea, the vertical distance of the albatross from the surface seems to be decreasing and then increasing as seen by the jumping dolphin.
The flying seagull :
The distance of the albatross is at the same height as seen by the seagull since it is flying at the same level, i.e. at the level of the sea surface
The octopus :
The octopus remains at the same depth below the water surface. So the distance of the albatross for the octopus remains the same at 5 m above the ocean surface.
A line has a slope of 1 and passes through the point (2,4). PLSSSSS HELPP :(
Find the equation of the line.
Answer:
y=x+2
Step-by-step explanation:
In this picture ( step by step )