Answer:
A will be switched off and B will be switched on.
Step-by-step explanation:
Because there are four different positions this can be in and there are 107 steps, we can divide 107 by four.
107 divided by four is 26 and the remainder is 3. That means the steps have gone around 26 times, and we are now on the third step before we complete the 27th cycle. The third step is C, where A is switched off and B is on.
Answer:
B
Step-by-step explanation:
Trust me :)
The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the shorter base. Round your answers to the nearest hundredth. show work please!
Answer:
Step-by-step explanation:
as the non parallel sides are equal and it is a trapezoid.∴ base angles are equal.each base angle=1/2×140=70°let the foot of perpendicular from end of shorter side is at distance x from nearest end of longer side.[tex]\frac{x}{7}=cos ~70\\x=7 \times cos~70 \approx 2.394\\2x \approx 4.788 \approx 4.79\\[/tex]shorter side=22-4.79=17.21 ftto find diagonal use cos formula[tex]cos ~70=\frac{22^2+7^2-d^2}{2*22*7} \\308 cos~70=484+49-d^2\\d=\sqrt{533-308~cos~70} \approx~20.68\\where ~d~is~diagonal.[/tex]d=20.68 fta. The length of the diagonal is approximately 15.74 feet.
b. The length of the shorter base is approximately 27.77 feet.
a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:
h = (7/2) * tan(140°)
h ≈ (7/2) * (-1.376381920471173)
h ≈ -4.796335681196056
Now, substitute the values into the formula for the diagonal:
[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]
Therefore, the length of the diagonal is approximately 15.74 feet.
b. To find the length of the shorter base (b), we can use the given information and the law of cosines:
[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]
Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).
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Hurry!!
State the domain of the glven relation.
Answer:
x ≤ -1
Step-by-step explanation:
Right isosceles triangles are constructed on the sides of a3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is X+Y /z
Answer:
(X + Y)/Z = 1
Step-by-step explanation:
Given the leg sides of the isosceles right triangles as 4, 5, and 3, we have
Length of the other leg sides of the isosceles triangle = Length of the given leg side sizes
Therefore, the respective height and base of each right angled isosceles triangle are equal which gives the areas as follows;
Z = 1/2*5*5 = 12.5 unit²
Y = 1/2*4*4 = 8 unit²
X = 1/2*3*3 = 4.5 unit²
W = 1/2*4*3 = 6 unit²
(X + Y)/Z = (4.5 + 8)/12.5 = 12.5/12.5 = 1.
Which of the following relations is not a function? x y 0 1 1 4 -1 4 x y 0 2 1 3 1 -3 x y 0 -2 1 -3 -2 5 x y 0 -2 1 -2 2 -2
Answer:
-1 4 x y
Step-by-step explanation:
The gradient at any point on the curve y=f(x) is given by the equation dy/dx=1/✓x-2.The curve passes through the point (2,3).Find the equation of this curve.
Answer:
y = -1.71x + 6.42
Step-by-step explanation:
The gradient at any point on the curve is given by the expression;
[tex]\frac{dy}{dx} = \frac{1}{\sqrt{x } - 2} \\[/tex]
At the point (2,3), the gradient of the curve will be:
[tex]\frac{dy}{dx}|(x = 2) = \frac{1}{\sqrt{ 2}-2 } \\\\\frac{dy}{dx}|(x = 2) = m = - 1.71[/tex]
The equation of this curve at this point can be given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Where [tex]x_1 =2, y_1 = 3[/tex]
Substituting these values into the given equation:
[tex]y - 3 = -1.71(x-2)\\y - 3 = -1.71x + 3.42\\y = -1.71x + 3.42 + 3\\y = -1.71x + 6.42[/tex]
30 points will give brainliest to whoever gets it right
Answer:
8(.5)^x
Step-by-step explanation:
This is only broken up into two main parts: the "a" and the "b" of the equation.The "a" is the y-coordinate when x is at 0 and the y-coordinate is 8 there so that fills it in.The "b" is the rate at which for every time x increases by 1, the y decreases by a portion of its current. In this case, every time the x increases by one, the y value cuts in half which means the rate is .5 or one half.Therefore, the answer is 8(.5)^xWrite the other side of this equation so it's true for no values of x;
1/2(6x-10)-x =
Answer:
1/2(6x-10)-x = 2x +3
Step-by-step explanation:
1/2(6x-10)-x =
Distribute
3x -5 -x
2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5
2x-5 = 2x+3
Subtract 2x from each side
-5 =3
This is not true so there is no solution
Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (negative 6, 0) and (negative 8, 6). y = 3 x minus 7 y = negative 3 x + 3 y = one-third x + StartFraction 7 Over 9 EndFraction y = negative one-third x + 12
Answer:
[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]
Step-by-step explanation:
The coordinates are (-6,0) and (-8,6)
Finding slope of the line
Slope = [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{6-0}{-8+6}[/tex]
Slope =[tex]\frac{6}{-2}[/tex]
Slope = -3
Parallel lines have equal slopes.
So, the line which is parallel to this line is y = negative 3 x + 3
Answer:
[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]
Step-by-step explanation:
The coordinates are given (-6, 0) and (-8, 6)
Find slope of the line.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{6-0}{-8--6}[/tex]
[tex]m=\frac{6}{-2}[/tex]
[tex]m=-3[/tex]
Parralel lines have same slope.
y = mx + b
m = -3
I need a quick response! Please help!
A park ranger sees a fire from an observation deck 120 feet high. The fire is at an angle of
depression 2.5 degrees. How far is the fire from base of the observation deck ?
Answer: 2748.5 feet
Step-by-step explanation:
Given that the
Height h = 120 feet.
angle of depression = 2.5 degrees
The angle of depression is equal to the angle of elevation.
The base of the observation deck will be achieved by using trigonometry ratio.
Tan Ø = opposite/ adjacent
Opposite = height = 120 feet
Adjacent = base = ?
Substitutes the given parameters into the trigonometry ratio.
Tan 2.5 = 120 / adjacent
Adjacent = 120 / tan 2.5
Adjacent = 2748.452
Therefore, the base of the observation deck is 2748.5 feet
If the rectangle below is enlarged by a scale factor of 1.8, what will be the perimeter of the new rectangle? 39.4 units 43.2 units 45.6 units 48.2 units
Answer:
43.2 units
Step-by-step explanation:
On this problem you would just find the perimeter which is 2(l+w) and that is 24 units and after you do that you would just have to multiply the perimeter 24 times 1.8 which would leave you with and answer of 43.2 units.
Answer:
New length = 3.5 x 8 = 28 cm
New width = 3.5 x 6 = 21 cm
Step-by-step explanation:
Perimeter = 2(28) + 2(21) = 56 + 42 = 98 cm
Area = 28 x 21 = 588 square cm
Match the number with its opposite.
Answer:
3.2 matches with (A) -3.3
-2.3 matches with (C) 2.3
-1.5 matches with (B) 1.5
5.1 matches with (D) -5.1
What is the midpoint of the segment below?
(3,5)
(-6,-6)
A. (-1.5, -0.5)
B. (0,0)
C. (1.5, 0.5)
D. (0.5, -0.5)
Answer:
The answer is option A.
( - 1.5 , - 0.5)Step-by-step explanation:
Midpoint of a line is given by
[tex] (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
Where ( x1 , y1 ) and ( x2 , y2) are the points
Midpoint of (3 , 5) and ( - 6 , - 6) is
[tex]( \frac{3 - 6}{2} , \: \frac{5 - 6}{2} )= ( - \frac{3}{2} , \: - \frac{1}{2} )[/tex]
We have the final answer as
( - 1.5 , - 0.5)
Hope this helps you.
Answer:
A. (-1.5, -0.5)Step-by-step explanation:
[tex](3,5), (-6,-6)\\Midpoint = [\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ]\\x_1 = 3\\y_1=5\\x_2 =-6\\y_2 = -6\\\\Midpoint = [\frac{3+(-6)}{2} , \frac{5+(-6)}{2} ]\\Midpoint = [ \frac{3-6}{2} , \frac{5-6}{2} ]\\\\Midpoint = [-\frac{3}{2} ,-1/2]\\\\Midpoint = [ -1.5 , -0.5][/tex]
Find an equation of the line: through the point (2, −4) with a y-intercept of −2. PLEASE HELP ONLY 20 MINS LEFT
Answer:
y = 3x -2
Step-by-step explanation:
y intercept means the point x = 0
need not be confused in that
we can get the two coordinates as
( 2, -4) and ( 0, -2)
gradient is difference of y/ difference of x
-2+-4/0-2
-6/-2 indeed its 3
so as y intercept is -2
c = -2
y = 3x - 2
Which expression can be used to find the surface area of the following square pyramid?
Answer:
Step-by-step explanation:
The slant height of one side of this pyramid is 5, and the base of this side is 4. Thus, the area of one slant side is (1/2)(5)(4) = 10 units^2.
There are 4 such sides. Thus, the total slant surface area is 4(10 units^2), or 40 units^2.
If you also want to include the base area, the total would be
40 units^2 + 16 units^2 = 56 units^2.
What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.
Answer:
18
Step-by-step explanation:
to find the MAD you add all of the numbers first 22+19+30+13+17+21+8+15+12+23= 180
then you divide it by how many numbers there are for instance there are 10 because there are 10 pairs of numbers then you divide it by 180 and you get 18
hope it helped :)
Write the equations after translating the graph of y = | 1 /2 x−2|+3 one unit down,
Answer:
[tex]y=|\frac{1}{2} x-2|+2[/tex]
Step-by-step explanation:
If your original function is:
[tex]y=|\frac{1}{2} x-2|+3[/tex]
the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:
[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]
Please help me with this question
Answer:
49π
Step-by-step explanation:
Circle area: πr^2
Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.
Since we know the radius, we can put it in the formula, πr^2.
We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).
Answer:
(-6,6), (0,12), (4,8)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 2 --> 2(x, y)
Before-> After dilation
2(-3,3) = (-6,6)
2(0,6) = (0,12)
2(2,4) = (4,8)
Please leave a 'thanks' if this helps!
There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities are there?
Answer:
190 possibilities.
Step-by-step explanation:
The problem is called 20 choose 2, given by the formula for combinations
C(20,2) = 20! / (2! (20-2)!) = 190
alternatively, we can reason it this way:
there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.
However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.
Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.
The formula for calculating simple interest is I = prt. Which is the equivalent equation solved for r? StartFraction I Over p t EndFraction = r StartFraction p t Over I EndFraction = r I minus p t = r I + p t = r
Answer: r = I/pt
Step-by-step explanation:
Interest divided by the principal × time gives the rate. It's usually expressed as a percentage per year.
The equivalent equation for r is r=I/pt which is option a.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to find equation?We have been given an equation I=prt and we have to find the equivalent equation which is solved for r.
I=prt
In this p is principal, r is rate of interest and t is time period.
Divide both sides by pt.
I/pt=prt/pt
I/pt=r
Hence the equation equivalent to I=prt is r=I/pt which is option a.
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QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.
Step-by-step explanation:
Do you mean (5-4)*(25) or 5-4(25)
(5-4) * (25)
= 5^2
Or
5-4(25)
=5 - 100
=-95
?
WILL MARK BRAINLIEST Beth has a graph to represent her distance when she runs 5 miles per hour. What would the point (2, 10) mean on her graph? Explain what this graph might look like.
Answer:
Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.
Step-by-step explanation:
A certain worker makes $12 per hour for the first 40 hours and $18 for every hour more than 40. Compute her pay for working 45 hours.
Answer: $570
Step-by-step explanation:
She worked 5 hours more than 40. Thus, for her extra hours she made 18*5, or $90. For her other 40, she made 40*12, or $480. Thus, she made 480+90 dollars, or $570.
Hope it helps <3
Answer:
$570
Step-by-step explanation:
Since she is working 40 hours you need to multiply 12 · 40 first and should get 480
Since there is an extra 5 hours you need to do 18 · 5 = 90
Lastly, you add 480 and 90 and you will get 570
question 9: consecutive angles in a parallelogram are___ A: cute B: congruent C: parallel D: Supplementary E: Convex
Answer:
Consecutive angles in a parallelogram are, D supplementary.
Step-by-step explanation:
Consecutive angles in a parallelogram will always sum to 180 degrees.
Answer:
Supplementary
Step-by-step explanation:
Correct answer in Ap3x. Just took the quiz.
What is the length of AB?
A. 18
B. 48
C. 6
D. 9
Answer:
D
Step-by-step explanation:
Since AC is 18
Midpoint is B
Therefore AB is 18÷2=9.
Hope this helps.
The length of AB shown in the circle is 9.
Hence option D is correct.
In the given circle
The Centre of the circle is o
Length of chord AC = 18
Since we know that,
The line segment connecting any two locations on a circle's circumference is known as the chord of the circle. It should be emphasized that the diameter is the circle's longest chord, which runs through its centre.
And we can see that,
B is the midpoint of the chord AC of the circle
Therefore The length of AB is just half of chord AC
Therefore,
AB = AC/2
And it is given that AC = 18
Therefore,
AB = 18/2
Hence,
AB = 9
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What is a Stem-and-Leaf plot?
4-5 sentences.
Answer:
A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
Step-by-step explanation:
Example: Long Jump
Sam got his friends to do a long jump and got these results:
long jump
2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0
And here is the stem-and-leaf plot:
Stem Leaf
2 3 5 5 7 8
3 2 6 6
4 5
5 0
Stem "2" Leaf "3" means 2.3
Note:
Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)
In this case each leaf is a decimal
It is OK to repeat a leaf value
5.0 has a leaf of "0"
1. George want to score at least a 90% on his math tests this quarter. So far his test scores are 88, 97 and
80. What does George need to score on his last test to average at least 90%?
Define variable:
Equation:
Solution:
check my work please! it’s number 1 :)
Answer:
Yes you are correct.
Step-by-step explanation:
The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!
Does anyone know this one! Thanks
Answer: 22.4 cm!
Step-by-step explanation:
If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!
Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).
Time (m) Remaining Volume (L)
4 148
6 112
8 76
What is the size of her pool?
Answer:
It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters
Step-by-step explanation:
i need help plz help
Answer:
B. 70%
Step-by-step explanation:
7/10 of the numbers are more than 5
7/10= 70%
Answer:
Option B
Step-by-step explanation:
This is a nice and simple question. Here we can assume that next year, will be somewhat related to this graph - so this is only the theoretical probability. Therefore, if we can calculate the probability with which there are more than 5 inches of rain, it will apply to the next year as well.
____________
Taking a look at the graph, we see that 7 out of the 10 years given to us are greater than 5 inches of rainfall. Therefore, the probability that there will be more than 5 inches of rainfall next year should be 7 / 10 ( 7 years / 10 years ), and 7 / 10 with respect to percent would be 70%. Your solution is the second option.