Mathematics High School
Answers
Answer 1
Answer:
You spin the spinner once. What is P(3)? Answer : 8%.
Related Questions
a certain number is added to 9 the result is 5 - the same number what is the number
Answers
Answer:
the answer to the question is -2
Step-by-step explanation:
a certain number=x
therefore,x+9=5-x
x+x=5-9
2x= -4
you the divide both sides by2 to gain x
A car depreciates by 5% in a year. If the initial value was $10,000, what is its value after a year?
Answers
Answer: $9,500
Step-by-step explanation:
If the value of the car depreciates by 5% in a year it means that the value of the car reduced by 5%.
First find the 5%:
= 5% * 10,000
= $500
Subtract this from the initial value to find the value after a year:
= 10,000 - 500
= $9,500
Answer:
$ 9500
Step-by-step explanation:
From the question given above, the following data were obtained:
Initial value = $ 10000
Depreciation rate = 5%
Value after one year =?
Next, we shall determine the depreciation value. This can be obtained as follow:
Initial value = $ 10000
Depreciation rate = 5%
Depreciation value =?
Depreciation value = Initial value × rate
Depreciation value = 10000 × 5%
Depreciation value = 10000 × 5/100
Depreciation value = $ 500
Finally, we shall determine the value of the car after one year. This can be obtained as follow:
Initial value = $ 10000
Depreciation value = $ 500
Value after one year =?
Value after one year = Initial value – Depreciation value
Value after one year = 10000 – 500
Value after one year = $ 9500
Therefore, the value of the car after one year is $ 9500
The surveyor sets up the instrument to determine the height at the highest point on the hill. She determines that she is standing at a horizontal distance of 100 m and sights the top of the hill using an angle of 17°. i) Let ‘h' represent the height of the hill and ‘d' represent the horizontal distance. ii) Set up the appropriate trigonometric ratio to determine the height of the hill. iii) Replace the variables with the appropriate values.
Answers
Answer:
[tex](a)\ h = d * \tan(\theta)[/tex]
[tex](b)\ h = 30.57m[/tex]
Step-by-step explanation:
Given
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
[tex]h = ??[/tex]
See attachment for illustration
Solving (a): Trigonometry ratio to calculate h.
From the attachment, we have:
[tex]\tan(\theta) = \frac{h}{d}[/tex]
Multiply both sides by d
[tex]d * \tan(\theta) = \frac{h}{d} * d[/tex]
[tex]d * \tan(\theta) = h[/tex]
Rewrite as:
[tex]h = d * \tan(\theta)[/tex]
Solving (b): The value of h
We have:
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
So:
[tex]h = 100m * \tan(17^o)[/tex]
[tex]h = 100m * 0.3057[/tex]
[tex]h = 30.57m[/tex]
explain why n(n-1) must be an even number
Answers
n & n - 1 are two consecutive numbers which means one of is surely even and the other one is odd.
_______________________________
Suppose that n is an even number;
So we can right n like this :
n = 2t
Thus :
n - 1 = 2t - 1
_______________________________
n( n - 1 ) = 2t( 2t - 1 ) = 2 ( 2t^2 - t )
= 2 ( q ) = 2q
The number obtained is a multiple of 2, so it is definitely even because all numbers are even multiples of 2.
HELP ME PLEASE I REALLY NEED IT!!
Find the RATIO and the EXACT VALUE of the given Sec B.
Answers
Answer:
13/5
Step-by-step explanation:
Cos is the opposite of Sec si first find the Cos of B which is 5/13, which would mean the Sec B would 13/5.
Answer:
Step-by-step explanation:
Recall that the secant function is the reciprocal of the cosine function. The cosine function is defined as
adj side
cos Ф = ------------------
hypotenuse
and so the secant function is
hypotenuse 13
sec Ф = ------------------ which here is --------- = sec B
adj side 5
Angelica used four congruent equilateral triangles. Each side of the triangles was 14 inches. The height of each triangle was 12.1 inches. Which figure did she construct? What is the surface area of her figure? 7 Check your guesses from Exercise 3. Were you correct?
Answers
Answer:
in simplified version it would be x ≤-4
Step-by-step explanation:
multiply each term in x ≤-4 by -1
Angelica constructs a regular tetrahedron
The surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]
What is equilateral triangle?
"It is a triangle that has all its sides equal in length and all angles are 60° in measure."
What are congruent triangles?
"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."
What is a regular tetrahedron?
"It is a triangular pyramid having congruent equilateral triangles for each of its faces."
Formula of area of regular tetrahedron:
[tex]A=\sqrt{3}\times a^{2}[/tex], where 'a' is the edge length of tetrahedron
For given question,
Angelica used four congruent equilateral triangles.
She constructs a regular tetrahedron using four congruent equilateral triangles.
The length of each edge of tetrahedron = side length of equilateral triangle
So, each edge of tetrahedron measures 14 inches.
Using the formula of area of the regular tetrahedron,
[tex]A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2[/tex]
Therefore, the surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]
Learn more about regular tetrahedron here:
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Hikers set up camp at 5,200 feet on
Guadalupe Peak. They plan to reach
the summit at 8,750 feet by hiking
equal distances cach day for the
next 5 days. Which number line
represents the distance, in feet, they
must hike each day to reach the
summit?
Answers
Answer:
710 ft
Step-by-step explanation:
8750 - 5200 = 3550
3550 / 5 = 710
1/2 divided by 2/3 =
Answers
3/4. Keep change flip. 1/2 x 3/2 = 3/4
Find the value of p when 3^p=1/9
Answers
Answer:
[tex]p = -2[/tex]
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for p.
One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply. 45, 65, 30,15.
Answers
Answer:
45°
Step-by-step explanation:
(180-90)/2 = 90/2 = 45°
The answer is 45°.
Step-by-step explanation:
Hey there!
Since it is an isoceles triangle two angles must be equal.
Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.
Then;
x+x+90° = 180° { Sum of interior angles of a triangle is 180°}
or, 2x + 90° = 180°
or, 2x= 180° - 90°
or, 2x = 90°
or, X= 90°/2
or, X=45°.
Therefore, the other angles are 45° and 45°.
Hope it helps!
40 POINTS/BRAINLIEST IF RIGHT
permutations of word MADISON
-a problem set-
Answers
Answer:
the correct answer is c
Step-by-step explanation:
the correct answer is c
Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Use the drops-downs to justify how Heidi arrived at each step.
Answers
Answer:
her first step was) Combining like terms= 12+2
her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x
her third step was) Adding to both sides 18= 14+18
her last step was) isolating the variable/ dividing 2 from both sides= 32/x.
Hope You Got It!
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HELP HELP HELP HELP HELP HELP AHHLIDAKUYSWJG PLEASE
Answers
I'm pretty sure it's D
C. 0.78 Is greater than 0.708
x + y=100 x-y=10 pair of equation
Answers
Answer:
x = 55, y = 45
Step-by-step explanation:
add both equations: 2x = 110, x= 55, input back in to get y = 45
This is Right answer.....
I hope you understand....
Thanks....
3x −3 y −4 ⋅ 3x 3 y 3
Answers
the answer to this question is
-
1
2
3
3
+
3
−
3
While painting the side of his house, Jason positioned his ladder so that the top was 16 feet
above the ground, while the bottom was 12 feet away from the base of the wall. To reach a
spot higher up on the house, Jason moved the ladder so that the top was 18 feet above the
ground. How much closer to the house is the bottom of the ladder now?
Answers
The bottom of the ladder is now 96 feet closer to the house compared to its initial position.
To solve this problem, we can use the concept of similar triangles. Let's denote the distance between the bottom of the ladder and the base of the wall as x (in feet). We are given the following information:
Initial ladder position:
Top of the ladder is 16 feet above the ground.
Bottom of the ladder is 12 feet away from the base of the wall.
New ladder position:
Top of the ladder is 18 feet above the ground.
Since the triangles formed by the ladder, the ground, and the wall are similar, we can set up a proportion to find the new distance between the bottom of the ladder and the base of the wall.
Using the initial position of the ladder:
(16 ft) / (x + 12 ft) = (18 ft) / (x)
Cross-multiplying:
16 ft * x = 18 ft * (x + 12 ft)
Expanding:
16x = 18x + 216 ft
Moving the terms involving x to one side:
16x - 18x = 216 ft
Simplifying:
-2x = 216 ft
Dividing by -2:
x = -108 ft
Since distance cannot be negative, we discard the negative solution. The distance between the bottom of the ladder and the base of the wall is 108 ft.
Now, to find how much closer to the house the bottom of the ladder is, we can subtract the initial distance (12 ft) from the new distance (108 ft):
108 ft - 12 ft = 96 ft
for such more question on triangles
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The length of a rectangle is represented by (2x2−5x+5)cm and the width is represented by (x2+4x−3)cm. What is the representation of the perimeter
Answers
Answer: [tex]6x^2-2x+4[/tex]
Step-by-step explanation:
Given
The length of a rectangle is given by
[tex]l=2x^2-5x+5[/tex]
and the breadth is given by
[tex]w=x^2+4x-3[/tex]
Perimeter is the sum of the sides of rectangle
[tex]\therefore \text{Perimeter P= }2(2x^2-5x+5+x^2+4x-3)\\\Rightarrow P=2(3x^2-5x+4x+5-3)\\\Rightarrow P=2(3x^2-x+2)\\\Rightarrow P=6x^2-2x+4[/tex]
Thus, the perimeter is given by [tex]6x^2-2x+4[/tex].
What is the value of 11g - 9k + 3 when g = 9 and k = 11?
Neatly show your work.
Answers
Answer:
3
Step-by-step explanation:
11g - 9k + 3
Let g = 9 and k =11
11 * 9 - 9*11 +3
Multiply
99 - 99 +3
Add
3
Answer:
3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right
Step-by-step explanation:
Step 1: Define
Identify
11g - 9k + 3
g = 9
k = 11
Step 2: Evaluate
Substitute in variables: 11(9) - 9(11) + 3Multiply: 99 - 99 + 3Subtract: 3
help help help please
Answers
Answer:
A
Step-by-step explanation:
the line is going from left to right ot has a negative gradient
as it goes through (0,0) euqally it is y = -x
What is the value of x in the diagram?
у
X
X-20
Answers
Answer:
y= 35⁰
x = 55⁰
Step-by-step explanation:
total angle of triangle is 180⁰
therefore we can equate:
x + (x-20) + 90 = 180
2x + 70 = 180
x = 55⁰
total of x and y is equal to 90⁰ since it is a right angle;
x + y = 90
x = 55⁰
55⁰ + y = 90
y = 35⁰
It’s 28 : 12
because we have the equation
7 : 3 which if you multiply both of
those by 4 you’ll get 28 : 12
Answers
Use solving math
Link:
WWW.SOLVINGMATH.COM
Please awnser this for brainliest
Answers
Answer:
she will pay 25% of the cost
Step-by-step explanation:
Well .35 is 35%
35+40 = 75
100-75 = 25
25%
Volume = 4,410 yd
30 yd
radius =
Answers
Answer:
Radius = 11.85yd
Step-by-step explanation:
Volume of a Cone formula: V = πr²(h/3)
We know that;
V = Volume
r = radius
π = pi (this is a sign located on your calculator)
h = height
We are given that;
V = 4,410
r = unknown
h = 30
Let's substitute the values in:
=> V = πr²(h/3)
=> 4,410 = πr²(30/3)
=> 4,410 = πr²(10)
=> 4,410 / 10 = πr²
=> 441 = πr²
=> 441 / π = r²
=> 140.37 = r²
=> [tex]\sqrt{140.37}[/tex] = r
=> 11.85 = r
Therefore, the radius of the cone = 11.85yd
Hope this helps!
PLEAZE SOMEONE HELP WHAT THE VOLUME OF THIS 7cm AND 6cm
Answers
r=6cmandh=7cm
Volume of right circular cone=31πr2h
=31×722×(6)2×7
=31×22×36
=264cm3
dunno whether the formula is correct or not!
Thirty students were asked what their favorite number from 1 through 9 was. The results were 8 students said 3. 6 students said 4, 9 students said 7, and 2 students said 9. What is the experimental probability that the number 7 was picked as the favorite number?
Answers
Answer:
3/10
Step-by-step explanation:
From the question, we have the total number of sampled students as 30
9 students said 7 was their favorite
So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents
We have this as;
9/30 = 3/10
y is inversely proportional to x.
When =9, y = 8.
Find y when x= 6.
Answers
Answer:
y=12
Step-by-step explanation:
y is inversely proportional to x
y=k/x
k is a constant of proportionality
k=yx
y1x1=y2x2
8(9)=y2(6)
y2=8(9)/6
y2=12
CAN SOMEONE HELP WITH THESE 2 questions please!! Reposting cause someone said too !!! Will mark u brainlist and give u points!!!
Answers
Answer:
do u need help with the whole page?
Step-by-step explanation:
Susan wants to hire one of two mechanics to repair her car. Each mechanic charges a one-time fee in
addition to an hourly rate.
Mechanic A charges a one-time fee plus $35 per hour. A repair made by Mechanic A that takes 5 hours to
complete will cost a total of $225.
This table shows the total cost, including the one-time fee, for repairs made by Mechanic B that take
different numbers of hours to complete
Mechanic B
Time
(hours)
Total Cost
(dollars)
1
80
2.
120
3
160
4.
200
5
240
6
280
How much more money in dollars does Mechanic A charge for the one-time fee than Mechanic B
charges?
Answers
there no table showing mechanic b. but mechanic a charges a one time fee of $50
35 an hour times 5 hours is 175
the total of 225 -175= $50 as a one time fee
The spinner is spun 48 times. What is a reasonable prediction for the number of times the spinner will land on an even number?
Answers
Answer:
18 times
Step-by-step explanation:
Number of even numbers on spinner = 3
Total number of sections on spinner = 8
Probability of obtaining an even number on one spin = 3/8
Number of times an even number can be obtained from 48 spins = 3/8 * 48 = 18 times
Gayle's hourly wage is $ 8.50. Gayle will be getting a 4% increase in pay at the end of the month. What will be Gayle's hourly wage after her pay increase?
Answers
Answer:
10.50
Step-by-step explanation:
Answer:
4 x 8.50
100
= 0.34
8.50 - 0.34 = 8.16
Step-by-step explanation:
a percentage is always over 100 so i 4 percent of 8.50 which gave me 0.34
Dont forget we are only focused on on the increase so we gotta subtract to make it normal from the original number which gives u 8.16...
Note dont forget it said an hour so multipy it by 1 hour since it said one hour which stills gives u the same answer