Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides
tan(angle) = opposite/adjacent
For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,
tan(Y) = XZ/XY = 6/7
For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6
tan(Z) = XY/XZ = 7/6
We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.
Look at this set of 10 numbers:
1 7 3 9 9 9 5 9 4 5
By how much would the median decrease if the number 6 were added to the set?
What integers are plotted on the number line below?
Hey there!
We can see on this number line that each tick mark represents one because every five marks, there is a difference of five.
Two marks to the left of 0 will be 0 minus 2, so -2.
Three marks to the left of -5 will be -5 minus 3, so -8.
Your answer is -8 and -2.
Hope this helps!
Final answer:
The integers that are being referred to are -8 and -2, which are negative whole numbers located on the left side of zero on a number line.
Explanation:
When plotted on the number line, integers represent whole numbers that can be positive, negative, or zero.
To identify the integers that are plotted, one would look for distinct marks or points on the number line that correspond to whole numbers.
Based on the data, we come to the conclusion that the numbers in question are -8 and -2.
The integers plotted on the number line are -8 and -2. The integer -8 is to the left of -2 on the number line.
These two numbers are examples of negative integers, which are located to the left of zero on a standard number line. The understanding of how to read a number line and identify the placement of integers is a key concept in mathematics, which allows for better comprehension of more complex mathematical ideas such as rational numbers, real numbers, and complex numbers.
what is 3/5 to the 0 power
Answer:
1
Step-by-step explanation:
(3/5) ^0
Anything raised to the zero power is 1
(except 0) but we will leave that for an advanced math discussion
Answer:
3
Step-by-step explanation:
mrs.bonnett's recipe for banana bread calls for three and one fourths cups of sugar. she wants to make 6.5 batches so that she has enough for everyone. how much sugar will she need
Answer:
[tex]21\frac{1}{8}[/tex] Cups
Step-by-step explanation:
[tex]6.5(3\frac{1}{4} ) = 21\frac{1}{8}[/tex]
how do you solve 5y+1=10y^2
[tex]5y+1=10y^2\\10y^2-5y-1=0\\D=(-5)^2-4*10*(-1)=25+40=65=\sqrt{65}^2 \\y_1=\frac{5+\sqrt{65} }{20} \\y_2=\frac{5-\sqrt{65} }{20}[/tex]
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P.S. Hello from Russia :^)
What is 9z when z = 2
Answer:
18
Step-by-step explanation:
9 times 2 equals 18
Answer:
18
Step-by-step explanation:
9z, z=2
9x2=18
How does the graph of f(x) - 3(x)|x+2|+4 relate to its parent function?
A. The parent function has been translated up.
B. The parent function has been translated to the left.
C. The parent function has been compressed.
D. The parent function has been stretched.
Answer:
A.] The parent function has been translated up.
B.] The parent function has been translated to the left.
D.] The parent function has been stretched.
Note:
This may be late, but hopefully this answers those who still seek this question <3
The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched. Then the correct options are A, B, and, D.
What is a parent function?A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.
The function f(x) - 3|x+2|+4 is graphed. The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched.
Hence, the correct options are A, B, and, D.
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The Wildcats and the Leopards are evenly matched football teams. When they play, there is a 0.5 probability that the Wildcats will win. If they play 9 times, what is the probability that the Wildcats will win 6 of the games? Round your answer to the nearest tenth of a percent.
Answer: its 7
Step-by-step explanation:
Which of the following points is on the circle given
by the equation (x − 5)2 + (y + 3)2 = 25?
A. (5, −3)
B. (8, −6)
C. (2, 1)
D. (4, −8)
Final answer:
The correct point that lies on the circle defined by the equation (x − 5)² + (y + 3)² = 25 is point C (2, 1), as substituting these values into the equation results in 25, which matches the right side of the equation. Thus, option C is correct.
Explanation:
To find which point is on the circle given by the equation (x − 5)² + (y + 3)² = 25, you can plug the x and y values from each option into the equation and see if it holds.
For point A (5, − 3), the equation becomes (5 − 5)² + (− 3 + 3)², which simplifies to 0 + 0 = 0. This is not equal to 25, so point A is not on the circle.
For point B (8, − 6), the equation becomes (8 − 5)² + (− 6 + 3)², which simplifies to 9 + 9 = 18. This is not equal to 25, so point B is not on the circle.
For point C (2, 1), the equation becomes (2 − 5)² + (1 + 3)², which simplifies to 9 + 16 = 25. This is equal to 25, so point C is on the circle.
For point D (4, − 8), the equation becomes (4 − 5)² + (− 8 + 3)², which simplifies to 1 + 25 = 26. This is not equal to 25, so point D is not on the circle.
The correct answer is point C (2, 1), as it satisfies the equation of the circle.
What does [8+(2*12)]*2 equal?
Answer:
64
Step-by-step explanation:
take 2x12=24+8=32x2=64
Answer:
64 is the answer.
Step-by-step explanation:
To solve this problem, you need to follow the rules of PEMDAS.
That means what is the the parentheses is solved first, then exponents, then you solve the multiplication and division, and then you solve the addition and subtraction.
2*12 is the most specific parentheses, therefore it is solved first.
2*12 equals 24.
The problem is now
[8+24] *2
Then you add 8 and 24, which is also in the parentheses.
8 + 24= 32
The problem is now :
32*2
Then you solve the multiplication.
32*2= 64
Therefore the answer is 64.
A circle is divided into 4 slices. The slices are arranged into the shape
shown. What a hapo would you get closer to if you kept cutting the circle
into more and more alices?
Hexagon
Rectangle
Pentagon
Triangle
, SOMEONE PLZ HELPPPPP
On cutting the circle into more and more slices, its shape will get closer to a rectangle.
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that, a circle is divided into 4 slices. The slices are arranged into the shape.
So, when we will cut the circle into similar manner, the shape we will get closer to will be a rectangle,
When we will calculate the perimeter and the area of the obtained rectangle, it will be equal to the circle.
Hence, on cutting the circle into more and more slices, its shape will get closer to a rectangle.
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Final answer:
When a circle is divided into more and more slices and these slices are rearranged, they approximate a circle more closely. While a hexagon may seem like a closer shape due to the angles of its vertices, the ultimate shape remains a circle.
Explanation:
If a student rearranges the slices from a circle cut into more slices, they would get a shape that approximates a circle more closely as the number of slices increases. As each slice becomes thinner, the perimeter of the rearranged shape starts resembling a smooth curve, which is the characteristic of a circle.
Looking at the angles provided, a triangle has 60° angles, a square has 90° angles, a pentagon has 108° angles, and a hexagon has 120° angles. The figures suggest that a hexagon would be a more favorable shape when arranging slices because the angles of a hexagon (120°) are closer to the 360° of a full circle when divided by an increasing number of slices. However, when arranging the slices, the ultimate shape one gets closer to is the circle itself, irrespective of the polygonal shape intermediate stages may suggest.
Determine whether the two quantities is proportional
Answer:
No, is not proportional because it does not go through the origin
Step-by-step explanation:
In order to find whether this is proportional or not you gotta divide y from x
and if the result is the same it means the relationship it is proportional.
30/2=15
40/4=10
50/6=8.333
The relationship is not proportional
Which expression is equivalent to 25*4
A.4x25
B.(20+4)x5
C.20 x 5 x 4
D.(20+5) x (20+4)
Which formula gives the x-coordinates of the maximum values for y = cos(x)? k pi for any integer k k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
Answer:
k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
Step-by-step explanation:
The cosine is a maximum when its argument is at multiples of 2π.
k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
_____
Both of us could probably read this more easily if you would use appropriate math symbols.
Answer:
B
Step-by-step explanation:
“Find the missing variable for this proportion.”
enter a negative number that is greater than -8
Answer:
-7
Step-by-step explanation:
Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work.
Which graph best represents the scenario?
Answer:
the 4th graph
Step-by-step explanation:
it illustrates correctly
Answer:
The last graph.
Step-by-step explanation:
the one that goes a little bit up, then its flat( thats when they waited for the bus), and then rode the bus for 25 minutes, then goes up. 50-25=25.
It goes from 0 to 10. Then 10 to 20. Then 25 up to 50.
What is the radius of the circle?
r=1 because its in the middle
Answer: The radius of the circle would be 4 because if you count from the center going either up, down, left, or right you would count 4. The radius of the circle will remain the same no matter which way you go
Step-by-step explanation:
Help Please please please
Answer:
its 1234
Step-by-step explanation:
What is the distance between the points (4,-2) and (-1,10)?
A. 5 units
B. 6 units
C. 12 units
D. 13 units
Answer:
D. 13 units
Step-by-step explanation:
The distance between the points (4,-2) and (-1,10) is 13 units.
Explanation:To find the distance between two points, we can use the distance formula. The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the first point are (4, -2) and the coordinates of the second point are (-1, 10). Plugging these values into the distance formula, we get:
d = sqrt((-1 - 4)^2 + (10 - (-2))^2) = sqrt((-5)^2 + (12)^2) = sqrt(25 + 144) = sqrt(169) = 13 units
Therefore, the distance between the points (4, -2) and (-1, 10) is 13 units.
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Ms. Lanigan rolls a fair die 300
times. How many times does she roll an even
number, theoretically and experimentally?
Should be around 150 as 3/6 of the numbers on a die are even so thats 1/2 and 300x(1/5) or just 300x0.5 or just 300/2 equals to 150
Theoretically, it would be 150 times that it rolls even. For half of the dice's sides being even and an equal chance of it landing on any of them.
Experimentally, it could be anything between 0-300, although after so many trails in it, it would be extremely likely that it would be near 150.
If it was only 10 trials of instance it would likely have a greater margin of difference compared to the theoretical probability.
Joan deposited $550 into her savings account for two years. She received 1.8% simple
interest on her money. How much money did she have at the end of the two year term?
Answer:$569.8
Step-by-step explanation:
To find the amount received for$550 deposited for 2yrs at 1.8% per annum
I=prt/100
I=550×1.8×2/100
I=$19.8
To find the whole money deposited after 2yrs
A=I+p
A=$19.8+550
A=$569.8
4. There are 25,920 beds in all the hospitals in the region. This year, the construction of 13
hospitals will be finished and each hospital will provide 268 beds. At the end of 2018, there
will be about _______ beds available.
a. 29,400 b. 31,500 c. 36,200
Answer:
At the end of 2018 there will be about 29,400 beds Available.
Thank You ☺️ ☺️.
☆ ★ Make It Brainlist Answer...Answer:
Option a: 29400
Step-by-step explanation:
13 Hospitals with 268 beds each means a bed total of
13*268 = 3484 beds
With the region having 25920 beds formerly, new bed total will be
25920+3484 = 29404
≈ 29400 to the nearest hundredth
What the answer for 3(X+5)=27
Answer:
4
Step-by-step explanation:
3x+15=27
3x=12
x=4
that is the steps
Answer:
4
Step-by-step explanation:
3x + 15= 27
-15. -15
3x = 12
÷3
x= 4
Prove that in the plane the perpendicular bisector of a chord in a circle contains the center of the circle
The perpendicular bisector of a chord in a circle contains the center of the circle.
Explanation:To prove that the perpendicular bisector of a chord in a circle contains the center of the circle, we can use the fact that the perpendicular bisector of a chord passes through the center of a circle.
Let ABC be a chord in a circle with center O. We want to show that the perpendicular bisector of AB passes through O.
Since AB is a chord, it intersects the center O. Let P be the midpoint of AB. The line segment OP is a radius of the circle, and the line segment AB is perpendicular to OP at P. Therefore, the perpendicular bisector of AB passes through O, the center of the circle.
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
q= 5/5
q = -5/5
q=375
q=-3/5
q = 2575
Answer:
None of the options are correct
Step-by-step explanation:
Given
[tex]f(q) = q^2 - 125[/tex]
Required
The roots of the function
Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0
[tex]f(q) = q^2 - 125[/tex] becomes
[tex]0 = q^2 - 125[/tex]
Make [tex]q^2[/tex] the subject of formula
[tex]125= q^2[/tex]
Rearrange
[tex]q^2 = 125[/tex]
Take square roots of both sides
[tex]\sqrt{q^2} = \sqrt{125}[/tex]
[tex]q = \sqrt{125}[/tex]
Expand the square root of 125
[tex]q = \sqrt{25 * 5}[/tex]
[tex]q = \sqrt{25} * \sqrt{5}[/tex]
q = ±5 [tex]* \sqrt{5}[/tex]
Split into 2
[tex]q = 5 * \sqrt{5}[/tex] or [tex]q = -5 * \sqrt{5}[/tex]
[tex]q = 5 \sqrt{5}[/tex] or [tex]q = -5 \sqrt{5}[/tex]
Hence, the roots of the quadratic function are [tex]q = 5 \sqrt{5}[/tex] or [tex]q = -5 \sqrt{5}[/tex]
Answer:
Step-by-step explanation:
What is the volume of the figure below, in cubic centimeters?
756
936
1008
1080
Answer:
B 396
Step-by-step explanation:
What is the value of 3z when z = 1.2
Answer:
3.6
Step-by-step explanation:
3z when z = 1.2
3(1.2)= 3 x 1.2
= 3.6
Answer:
3.6
Step-by-step explanation:
You plug in 1.2 to x
3(1.2)
do 12x3=36
Then add the decimal point
3.6
y = 4x + 11
y = -2x - 1
Answer:
x = -2, y= 3
Step-by-step explanation:
y = 4x + 11
y = -2x - 1
Because both equations are equal to y, we can set them equal to each other
4x + 11 = -2x - 1
Add 2x to each side
4x+2x +11 = -2x+2x -1
6x +11 = -1
Subtract 11 from each side
6x+11-11=-1-11
6x = -12
Divide each side by 6
6x/6 = -12/6
x = -2
Now we need to find y
y = -2x-1
y = -2(-2)-1
=4-1
=3
You deposit $300 in a savings account. The account earns 2% simple interest per year. What is the interest and balance earned after 10 years?
Answer:
$365.70
Step-by-step explanation:
The formula to find this is [tex]y = a(1+r)^t\\[/tex]
For this, a is the initial amount, r is the growth rate percentage (but displayed as a decimal), and t is time.
So to solve, you would do
[tex]y = 300(1+0.02)^10\\y = 300(1.02)^10\\y = 365.698325998\\OR\\y = $365.7 in interest[/tex]