Answer:
X = 14
Hope this helps!
Step-by-step explanation:
The small red square means the angle is 90°.
( 2x + 22 ) + ( 3x - 2 ) = 90°
2x + 22 + 3x - 2 = 90
( 2x + 3x ) + ( 22 - 2 ) = 90
5x + 20 = 90
5x + 20 - 20 = 90 - 20
5x = 70
x = 14
Answer: x = 14
Step-by-step explanation:
When you have a right angle, they add up to 90 degrees
So you add up the two angles that you have that equal a total of 90 degrees
2x+22 + 3x-2 = 90
5x+20 = 90
5x = 70
x = 14
I hope this helps :D
Rotate 90 counter clockwise around the origin and then reflect over the c-axis
In order to get the same outcomes as a form mirrored across the y-axis and turned counterclockwise, a shape can be reflected across the x-axis and then rotated 90 degrees in a clockwise manner around the origin. This suggests a similarity between these two transformative sequences.
What does mathematics mean by reflection?
A flip is the term used in geometry to describe a reflection. The mirror image of the form is a reflection. An image can reflect through a line known as the line of reflection. When all of the points in a figure are evenly spaced away from one another, the two figures are said to reflect each other.
(X, Y) > when a form is rotated 90 degrees counterclockwise (y, -x).
When the picture is reflected across the y-axis, (x, y) > (-x, y).
When those two transformations are used, it is the same as reflecting a shape across the line y = -x, where (x, y) > (-y, -x).
For instance: After being rotated 90 degrees clockwise and reflecting across the y-axis,
(2, 1) > (1, -2) > (-1, -2); and
(2, 1) > (-1, -2)
after being reflected across the y = -x line
To know more about reflection , visit :
https://brainly.com/question/11935046
#SPJ13
A basket contains 3 red apples and 4 yellow apples. A sample of 3 apples is drawn. Find the probability that 2
apples are yellow and 1 apple is red.
A.6/35
B.9/35
C.18/36
D.None of the above
The probability of getting 2 yellow apples and 1 red apple is 18/35 which is the D option.
This is a question of permutations and combinations.
Given that:-
Number of yellow apples = 4
Number of red apples = 2
We have to find the probability of getting 2 red apples and 1 yellow apple.
Number of ways of getting 2 yellow apples = [tex]^4C_2=6[/tex]
Number of ways of getting 1 red apple = [tex]^3C_1=3[/tex]
Total number of ways of finding 3 apples from 7 apples = [tex]^7C_3=35[/tex]
Hence,
Probability of getting 2 yellow apples and 1 red apple = 6*3/35 = 18/35.
To learn more about probability, here:-
https://brainly.com/question/11234923
#SPJ1
Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through
the point (9, -2)
Answer:
y = -1/3x + 1
Step-by-step explanation:
1) For a perpendicular line, the slope is the opposite reciprocal. What this means is that, the slope will be the opposite sign and flipped.
~-1/3 will be the new slope
2) Then you have to rewrite the problem using the point slope form which is y - y1 = m(x-x1). The values that we will be plugging in for x1 and y1 will be from the coordinate that you provided.
~ y - (-2) = -1/3(x-9)
3) Now simplify everything you can
~y+2 = -1/3(x-9)
4) Now distribute the -1/3
~y+2 = -1/3x + (9)(1/3)
~y+2 = -1/3x + 3
5) Now we need to subtract 2 from both sides to get y by itself.
~y = -1/3x + 1
Find the area of each trapezoid.
1)
8 in
6 in
4 in
The area of the given trapezoid is 24 square inches.
Area of trapezoid:
Area of the trapezoid is referred as the total space covered by its sides.
The formula to calculate the area of the trapezoid is
A = ½ (a + b) h
where
(A) is the area of a trapezoid,
'a' and 'b' are the bases that are parallel sides,
and 'h' is the height that is the perpendicular distance between a and b
Given,
Here we have the values 8 in, 6 in, and 4 in
Through the given values we have to find the area of the trapezoid.
Let us consider the base values of the trapezoid are 8in and 6 in and the height as 4 in.
Now, we have all the side value of the trapezoid.
Then we have to apply it on the formula,
Then we get,
Area = 1/2 (8 + 6) x 4
Area = 2 x (12)
Area = 24
Therefore, the area of the trapezoid is 24 square inches.
To know more about Area of Trapezoid here.
https://brainly.com/question/21025771
#SPJ1
What is the area of the figure at the right?
The area of the figure is 21. 25 m². Option D
How to determine the areaIt is important to note that the figure is a kite.
The formula for calculating the area of a kite is expressed as;
A= pq/2
Where;
A is the area of the kitep is the diagonal of the kiteq is the diagonal of the kiteUsing tangent identity
tan 45 = x/ 2. 5
1(2. 5) = x
x = 2. 5
p = 2. 5 + 2. 5 = 5
q = 2. 5 + 6 = 8. 5
Now, substitute the values into the formula
Area = 5(8. 5)/ 2
Area = 42. 5/ 2
divide the values
Area = 21. 25 m²
Hence, the value is 21. 25m²
Learn more about area here:
https://brainly.com/question/25292087
#SPJ1
At the fast food restaurant, an order of fries costs $1.08 and a drink costs $1.09. How
much would it cost to get 5 orders of fries and 4 drinks? How much would it cost to
get f orders of fries and d drinks?
Total cost, 5 orders of fries and 4 drinks:
Total cost, f orders of fries and d drinks:
Answer: $9.76
Step-by-step explanation: If you multiply f, the order of fries (5) by the cost of it ($1.08) you would get $5.40 & if you multiply d, the order of drinks (4) by the cost of it ($1.09) you would get $4.36. If you add up both the total numbers, you would get a final answer of $9.76.
Answer:
$9.76
Step-by-step explanation:
1.08f + 1.09d= Total
1.08(5)+1.09(4)= Total
5.40+4.36= Total
Solve for a in terms of b, c, and d.
c=a+b–d
I NEED HELP PLS I GIVE YOU POINTS
Answer:
Option D: 160 square feet
Step-by-step explanation:
Area of the lawn
= (7 feet × 8 feet) + (13 feet × 8 feet)
= 56 square feet + 104 square feet
= 160 square feet
I have been struggling on this for hours now please help
Step-by-step explanation:
-(10x + 2) > 5x - 1 - 8x
combine x terms on right side:
-(10x + 2) > -3x - 1
remove ()'s from left side:
-10x - 2 > -3x - 1
add 10x to both sides:
-10x - 2 + 10x > -3x - 1 + 10x
-2 > 7x - 1
add 1 to both sides:
-2 + 1 > 7x - 1 + 1
-1 > 7x
divide both sides by 7:
-1/7 > 7x /7
-1/7 > x or x < -1/7
in interval notation: (-∞, -1/7)
Double points. Please help!
Find the solution(s) of the system of equations:
y = x2 + 6x + 9
y = 2x + 6
Answer:
(-1,4) (-3,0)
picture below (im assuming you meant x^2.)
if you meant x2, please look at the second image
FIRST PHOTO = y=x^2 + 6x + 9 & y=2x+6
SECOND PHOTO = y=x2 + 6x + 9 & y=2x+6
41.153 to the nearest tenth
Answer: 41.2
Step-by-step explanation: The rules of rounding are you round up if the number you're rounding is 5 or higher than five, and you keep the same number if it is 4 or lower. For this problem, the 1 is the digit being rounded, so to round it, look at the number to the right of the 1, which is a 5, which means we would round up.
hope this helps!
please consider brainliest!
It’s really hard ddid
Answer:
ye it is I can't help sorry I need the points
3. 3.8 ft
5. 28
7. .1
Step-by-step explanation:
5/20.5=15.5/x
solve for x
3.8
7/14=14/x
28
10/x=1/100
.1
Solve the inequality. Graph the solution.
−8≤2/5(k−2)
Solve the inequality. Graph the solution.
−8≤2/5(k−2)
Answer: K is greater than or equal to 18
Step-by-step explanation:
Answer:k>=-18
Step-by-step explanation:
Rewrite so k
is on the left side of the inequality.
2/5⋅(k−2)≥−8
Multiply each term in
2/5⋅(k−2)≥−8 by 5/2 to eliminate the fractions.
k−2≥−20
Move all terms not containing
k to the right side of the inequality.
k≥−18
The result can be shown in multiple forms.
Inequality Form:
k≥−18
Carlos took a total of 8 quizzes over the curse of 4 weeks. What is his unit rate?
outside temperature over a day can be modeled as a sinusoidal function. suppose you know the temperature varies between 60 and 70 degrees during the day and the average daily temperature first occurs at 9 am. how many hours after midnight, to two decimal places, does the temperature first reach 63 degrees?
The 4.89 hours after midnight did the temperature first hit 63 degrees.
What is sinusoidal function ?A sinusoidal function can be used to mimic the daily variation in outdoor temperature. Assume you are aware that the daily average temperature starts at 9 am and swings between 60 and 70 degrees throughout the day.
We have to find to two decimal places, how many hours after midnight did the temperature first hit 63 degrees.
Max T=70 and Min T=60
D = (Max + Min)/2
= 70+60/2
= 65
A = Max- D
= 70 - 65
= 5
Since,
Period is 24 hours,
So,
W = 2π/24
= π/12
The function will be:
T(t) = 5 Sin (π/12(t-C)) + 65
Given average temperature occurs at 8 am so,
T(9)=65
Solving this we get
C=9
Hence,
T(t)= 5Sin(π/12( t-9))+65
Now,
We need to find t such that T(t)=63
63=5Sin(π/12( t-9))+65
t = 4.89 hours.
Therefore, The 4.89 hours after midnight did the temperature first hit 63 degrees.
To learn more about hours visit: https://brainly.com/question/13533620
#SPJ4
An object attached to a coiled spring is pulled down a distance of 10 centimeters from its rest position and then released.
Assuming that the motion is simple harmonic
with a period of 2 seconds, write an equation that relates the displacement d of the object from its rest position after t seconds.
Also assume that the positive direction of
the motion is up. At time t=0 the object is at its resting position and moving down.
Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.
In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).
Step-by-step explanation:
6. The supplement of an angle is 8 less than three times the measure of the angle. Find
the measure of both angles.
X =180
m/1=
m/2 =
By using the concept of supplementary angle, it can be calculated that
The two angles are 47° and 133°
What are supplementary angles?
At first it is important to know about angle.
When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.
Two angles are said to be supplementary if the sum of the angles is 180°
Let one angle be x
Other angle = 180 - x
The supplement of an angle is 8 less than three times the measure of the angle
By the problem
180 - x = 3x - 8
3x + x = 180 + 8
4x = 188
x = [tex]\frac{188}{4}[/tex]
x = 47°
Other angle = 180 - 47 = 133°
The two angles are 47° and 133°
To learn more about supplementary angles, refer to the link-
https://brainly.com/question/12919120
#SPJ1
Can anyone state the vertex of the graph?
The graph has no vertex
The transformations from the parent function are
Vertical shift down 2Horizontal shift left 4How to determine the vertex?The graph represents the given parameter
As a general rule, the maximum or the minimum of a graph is the vertex
However, the graph has no maximum or minimum
This means that there is absence of a vertex in the graph
The transformationHere, we have:
The graph is translated 4 units to the left of the origin The graph is translated 2 units below the originThis transformation can be represented as (x - 4, y - 2)
Read more about vertex and transformations at
brainly.com/question/15709421
brainly.com/question/4289712
#SPJ1
10. Bob buys some games for $13 each. He has a coupon for $5 off the total
price. If he pays $73, how many games did he buy
Can write the equation to this problem?
The equation, in vertex form, of the graph in the diagram is determined as: y = 1|x - 3| + 5.
What is the Equation of a Graph that Represents an Absolute Value Function?The formula that represents the equation in vertex form of an absolute value function is y = a|x - h| + k, where:
Vertex = (h, k).
Therefore, we will need to determine what the values of a, h, and k is using the information derived from the graph.
Thus:
(h, k) = (3, 5)
a = 1 (this is because the graph opens upward)
To write the equation of the graph, substitute a = 1, h = 3, and k = 5 into:
y = 1|x - 3| + 5
The equation is, y = 1|x - 3| + 5.
Learn more about the equation of absolute value function on:
https://brainly.com/question/25290500
#SPJ1
Estimate 29.25 + 41.06
And Exact answer
Step-by-step explanation:
70.31
hope it's helpful
Answer:
Step-by-step explanation:
no
a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 8% margin of error at a 90% confidence level, what size of sample is needed? give your answer in whole people.
For the specified requirements, 105 sample size are required.
Given that,
Confidence Interval = 90
Margin of error (m) =0.08
We know , to find Sample size for estimating a population proportion
n = (Z*/m)² P(1-P)
where , m is margin of error
P is estimated proportional value.
If we have no preconceived of the value of the population proportion
, then we use P= 0.50 because it is most conservative and it will give use the largest sample size calculation.
for a 90% confidence interval ,
Z* = 1.645 , m=0.08
Using equation we get
n = (1.645/0.08)²(0.5)( 1 - 0.5 )
By solving,
n =105.3 = 105
The necessary sample size is 105
Learn more about margin of error :
brainly.com/question/10501147
#SPJ4
Nachelle signed up for a streaming music service that costs $6 per month. The service
allows Nachelle to listen to unlimited music, but if she wants to download songs for
offline listening, the service charges $1.25 per song. How much total money would
Nachelle have to pay in a month in which she downloaded 20 songs? How much
would she have to pay if she downloaded s songs?
K
Cost with 20 songs:
Cost with s songs:
The cost of s and 20 songs are $1.25s and $25 respectively.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given that music services cost $6 per month to Nachelle.
And to download songs for offline listening, the service charges $1.25 per song.
If she wants to download s songs,
The cost of s songs = the cost of one song multiplied by s
The cost of s songs =$1.25 multiplied by s
The cost of s songs = $1.25s
Here s = 20 then
cost of 20 songs = $1.25 x 20
= $25
Therefore the cost of s and 20 songs are $1.25s and $25 respectively.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ1
Find the equation of the line passing through the given points. Express the equation in standard form. (4,5) and (-3,-1)
Answer:
y = m x + b equation for a straight line
when x = 4 y = 5
5 = m * 4 + b
m = (5 - b) / 4 solving for m
when x = -3 y = -1
-1 = (5 - b) / 4 * -3 + b = -3 * (5 - b) / 4 + 4 b / 4
-1 = (-15 + 3 b + 4 b) / 4
11 = 7 b b = 11 / 7
Since m = (5 - b) / 4
m = (5 - 11/7) / 4 = 6/7
We then have y = 6 x / 7 + 11 / 7
Or 7 y = 6 x + 11
Check:
when (4 , 5) 35 = 24 + 11 = 35
It cost $4.50 for zoo parking, plus an additional $6.25 for admission per person into the zoo. If Jay starts off with $55.00 and buys 3 admission tickets, how much money will he have left?
Answer: he will be left with 31.74 dollars
Step-by-step explanation:
i first put 55.00 - 4.50 = 50.5
then you subtract 50.5 with 6.25 3 times so the and is 31.74
hope this helped !!
"the difference of a number cubed and 10" translated expression
Answer:
[tex]x^3-10[/tex]
Step-by-step explanation:
Let the number be x.
"A number cubed" refers to x³.
"Difference" means to subtract, so the answer is [tex]x^3-10[/tex].
A class of 25 children shares 600 beads.
On a day when 1 child is absent, what is the ratio of the number of children present to the number of beads?
Answer:
Step-by-step explanation:
The answer would be 24:600. One student is absent so there are 24 students present. The number of beads is still 600, so the ratio is 24:600 which simplifies to 1:25.
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure?
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 7 units left and 1 unit up.
2. Rotate the triangle 90º clockwise about the origin and then translate it 7 units left and 1 unit up.
3. Rotate the triangle 90º counterclockwise about the origin and then translate it 1 unit left and 7 units down.
4. Rotate the triangle 90º clockwise about the origin and then translate it 1 unit left and 7 units down.
The choice which describes a sequence of transformations in which the blue figure is the image of the red figure is: 4. Rotate the triangle 90º clockwise about the origin and then translate it 1 unit left and 7 units down.
What is a rotation?In Mathematics, the rotation of a geometric figure 90° about the origin in a clockwise or counterclockwise direction would produce a geometric figure that has these coordinates (y, -x).
From the information provided in the graph about the transformation applied to the red triangle to create the blue triangle, we have the following ordered pairs that represents a rotation of 90º clockwise:
(x, y) → (y, -x)
Ordered pair A = (-5, 2) Ordered pair A' = (2, 5)
Ordered pair B = (-5, 6) Ordered pair B' = (6, 5)
Ordered pair C = (-1, 2) Ordered pair C' = (2, 1)
After a translation of 1 unit left and 7 units down, we have:
Ordered pair A' = (2, 5) → Ordered pair A' = (2 - 1, 5 - 7) = (-1, -2)
Ordered pair B' = (6, 5) → Ordered pair B' = (6 - 1, 5 - 7) = (.5, -2)
Ordered pair C' = (2, 1) → Ordered pair C' = (2 - 1, 1 - 7) = (-1, -6)
Read more on rotation here: brainly.com/question/28515054
#SPJ1
In the figure, m<7=100 degrees. Find the measure of each angle.
22.) <6
23.) <8
24.) <2
25.) <5
26.) <11
The corresponding measure of each angle is 80, 80, 80, 100 and 100 degrees
How to determine the measure of each angle?
Given: m<7=100 degrees
To find <6, <8, <2, <5 and <11
In the <7 is vertically opposite <5. Since vertically opposite angles are equal.
Thus, <5 = <7 = 100 degrees
Also, <5 and <6 are angles on a straight, and the sum of angles on a straight line is 180 degrees. Thus:
<5 + <6 = 180
100 + <6 = 180
<6 = 180 -100 = 80 degrees
Also, <6 and <8 are vertically opposite.
Thus, <8 = <6 = 80 degrees
<2 and <6 are corresponding angles, and corresponding angles are equal. Thus, <2 = <6 = 80 degrees
Likewise, <11 and <7 are corresponding angles
Thus, <11 = <7 = 100 degrees
Therefore, the measure of angle <6, <8, <2, <5 and <11 are 80, 80, 80, 100 and 100 degrees respectively
Learn more about angle geometry on:
https://brainly.com/question/25770607
#SPJ1