Answer:
x<-3
Step-by-step explanation:
Find the area of this circle. Use 3 for pi. A = pi r2. radius is 15 ft so answer is [?] ft?
Answer:
675 sq feet
Step-by-step explanation:
Radius =15ft
Area = 3(15)^2
= 3(15)(15)
= 3(225)
=675 sq ft
Answer:
675
Step-by-step explanation:
We square r first, so 15 ^ 2 = 225.
Then multiply by pi, which is 3 for this problem. 225 x 3 = 675.
Therefore, the answer is 675.
What is the distance between the bank and Hiroto's house on the map?
Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
Answer:
The distance is 12 miles
Step-by-step explanation:
Given
See attachment for grid
Required
The distance
From the attached:
[tex]B = (-8,6)[/tex] --- Bank
[tex]H = (4,6)[/tex] --- Hiroto's house
Using distance formula, we have:
[tex]d = \sqrt{(x_1- x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives:
[tex]d = \sqrt{(-8- 4)^2 + (6 - 6)^2}[/tex]
[tex]d = \sqrt{(-12)^2}[/tex]
[tex]d = \sqrt{144}[/tex]
[tex]d = 12[/tex]
Today is your 10th birthday, and you decide to start saving for your college education. You will begin college on your 20th birthday and will need to pay ksh144,000 at beginning of first in a 4- year program. Fees will increase at inflation rate of 10% per year. You will make a deposit 1 year from today in an account paying 12% (percent) annually and continue to make an identical deposit each year up to and including the year you begin college. What should be the size of your deposit?
Answer:
The size of your deposit should be $13,023.92.
Step-by-step explanation:
First, the real interest has to be calculated using the following formula:
r = [(1 + i) / (1 + inf)] - 1 ..................... (1)
Where;
i = market interest rate = Interest rate on the account = 12%, or 0.12
r = real interest rate = ?
inf = inflation rate = 10%, or 0.10
Substituting the values into equation (1) and solve for r, we have:
r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183
Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:
FV = P * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)
Where,
FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000
P = Fixed annual payment or size of the deposit = ?
r = real interest rate = 0.0181818181818183
n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)
Substituting the values into equation (2) and solve for P, we have:
144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)
144,000 = P * 10.8591414092614 * 1.0181818181818183
144,000 = P * 11.0565803439752
P = 144,000 / 11.0565803439752
P = $ 13,023.92
Therefore, the size of your deposit should be $13,023.92.
PLEASE HELP PLEASE PLEASE PLEASE PLEASE
Answer:
1: 98
2: 82
3: 98
4: 82
Step-by-step explanation:
So 2 is 82deg then the opposite is also 82 so 4 is 82deg
Then 82+82 = 164deg, and we remain with 360deg-164deg which is = 196.
Since the other two angles will be equal (they are opposite each other) we can decide 196/2 = 98
So 3 and 1 are 98deg
Answer:
Step
<2 and <4 are vertically opposite. They are equal
<2 = 82 Given
<4 = 82 Vertically opposite to a given
<3 = 180 - 82 <3 and <4 are supplementary. They are on the same straight line.
<3 = 98
<1 = 98 Vertically opposite angles are equal.
At a grocery store, you want to buy lb of 2 1/2cheese What decimal should the digital scale show
Answer:
The tenths place.
Step-by-step explanation:
If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.
Answer:
tenths place
Step-by-step explanation:
Solve for the blanks ?
Answer:
Equation: 4x+1+75=180
X= 26
105°
Step-by-step explanation:
When added, the two angles would create a flat angle of 180°, so just add the two angles:
4x+1+75=180
4x+76=180
-76 -76
4x=104
x=26
Input the solved x value into the angle to get the angle measure
4(26)+1 = 105
In ΔIJK, k = 57 inches, i = 37 inches and ∠J=141°. Find ∠I, to the nearest degree.
Answer:
<I= 15degrees
Step-by-step explanation:
Using the cosine rule formulae;
j² = i²+k²-2i cos <J
j² = 37²+57² - 2(37)(57)cos <141
j² = 1369+ 3249- 4218cos <141
j² = 4618- 4218cos <141
j² = 4618-(-3,278)
j²= 7,896
j = √7,896
j = 88.86inches
Next is to get <I
i² = j²+k²-2jk cos <I
37² = 88.86²+57² - 2(88.86)(57)cos <I
1369 = 7,896.0996+ 3249- 10,130.04cos <I
1369 = 11,145.0996 - 10,130.04cos <I
1369 - 11,145.0996 = - 10,130.04cos <I
-9,776.0996=- 10,130.04cos <I
cos <I =9,776.0996 /10,130.04
cos<I = 0.96506
<I = 15.19
<I= 15degrees
a classrom contains 25 children ,out of which 6 are girls.What percent are boys?
Answer:
76%
Step-by-step explanation:
Number of students=25
Number of girls=6
Number of boys=25-6=19
% of boys=number of boys/number of students x 100
=19/25x100
=19x4=76%
find atleast 3 solutions for the following linear equation in two variables:2x + 3y = 4
First solution :
Say, x = 0
→ 2x + 3y = 4
→ 2(0) + 3y = 4
→ 0 + 3y = 4
→ 3y = 4
→ y = 4/3
x = 0, y = 4/3Second solution :
Say, x = 1
→ 2x + 3y = 4
→ 2(1) + 3y = 4
→ 2 + 3y = 4
→ 3y = 4 - 2
→ 3y = 2
→ y = 2/3
x = 1, y = 2/3Third solution :
Say, x = 2
→ 2x + 3y = 4
→ 2(2) + 3y = 4
→ 4 + 3y = 4
→ 3y = 4 - 4
→ 3y = 0
→ y = 0 ÷ 3
→ y = 0
x = 2, y = 0How many terms are in this expression 4+3c
Answer: there are 2 terms
Step-by-step explanation: A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. ... Examples of single terms: 3x is a single term.
2 terms
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
Question 4 Multiple Choice Worth 1 points)
(01.02 MC)
Solve for :
2 x -
(x - 2) = 4x
Answer:
[tex]\small \sf \frac{2}{3} = x \\ [/tex]
Step-by-step explanation:
Solve for x;
2x - ( x - 2 ) = 4x
distribute minus sign through parantheses
2x - x + 2 = 4xcombine like terms
x + 2 = 4xsubtract x from both side
x - x + 2 = 4x - x2 = 3 xDivide each side by 3
[tex] \small \sf \frac{2}{3} = \frac{3x}{3} \\ [/tex]
[tex]\small \sf \frac{2}{3} = x\: \\ [/tex]
Please help. I really need to pass this.
Answer:
3.75
Step-by-step explanation:
r²+9²=(6+r) ²
r²+81 = 36+12r + r²
81=36+12r
=> 12r = 45
r = 45/12 = 3.75
find the area of this figure 15ft 10ft 10ft 5
Answer:
150 feet2 50 feet I hope this helps!
Step-by-step explanation:
20. A smaller rectangle is centered within a larger rectangle such that the shaded area is created as shown below. The dimensions of both rectangles are shown in terms of x.
i don´t know how to solve this
Step-by-step explanation:
please check the attachment
The perimeter of parallelogram ABCD is 96cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Step-by-step explanation:
Given
ABCD is a parallelogram
Side AD is 9 cm more than twice AB i.e.
[tex]AD=9+2AB[/tex]
Also, for parallelogram
[tex]\Rightarrow AB=CD,BC=CD[/tex]
Perimeter is the sum of the sides
[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]
So, [tex]AD=35\ cm[/tex]
Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Answer: AB=11
AD=31
BC=31
CD=11
Step-by-step explanation:
Move point b some more as you move point b the angle formed between ab and cd varies if you want to make an perpendicular to cd what do you need to do explain in terms of BEC
Answer:
Following are the response to the given question:
Step-by-step explanation:
Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.
What is the area please?
Answer:
104
Step-by-step explanation:
18 for the bottom section, 35 for the middle section, and 51 for the top triangle.
need help with this Q&A 5
Answer:
C
Step-by-step explanation:
Need more help again
Answer:
QSR = 68º
Step-by-step explanation:
TSQ + QSR = TSR
15x + (10x - 2) = 173
Combine like terms
25x = 175
Divide both sides by 25
x = 7
QSR = 10x - 2
QSR = 10(7) - 2
QSR = 68º
The linear scale factor of two similar shapes is in ratio 3:4 if the area of the smaller shape is 72cm, find the area of the bigger shape
Answer:
128 cm²
Step-by-step explanation:
Given linear scale factor of 2 similar shapes = a : b , then
ratio of areas = a² : b²
Here linear scale factor = 3 : 4 , then
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the larger shape then by proportion
[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )
9x = 1152 ( divide both sides by 9 )
x = 128
That is area of larger shape is 128 cm²
Solving three variables systems of equations
Answer:
D
Step-by-step explanation:
bbbbuujbhhtdddfyuuiiiiiooohhgff
Answer:
D...
Step-by-step explanation:
d is the answer hope it helps
What is 1/9 of 9?
a) 1/9
b) 0
c) 1
d) 2
e) 3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {c) \:1}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = \frac{1}{9} \times 9\\[/tex]
[tex] = \frac{9}{9} \\[/tex]
[tex] = \frac{1}{1} \\[/tex]
[tex] = 1\\[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Change the negative exponent to a positive exponent
Answer:
[tex] \frac{1}{ {6}^{8} } [/tex]
Step-by-step explanation:
when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power
Example: 5^-2 = 1/5^2
What is the coefficient in the expression shown?
Answer:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.
Step-by-step explanation:
what is the circumference of a circle diameter of 6 feet?use 3.14 for n
Answer:
18.84 feet.
Step-by-step explanation:
The formula for the circumference of a circle is:
2Pi*radius
The radius would be half the diameter so 3.
2*3.14*3
Solve the system of equations by graphing.
x + y = -9
4x + y = -19
Answer:
(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )
Step-by-step explanation:
x + y = -9 --> y = -x -9
4x + y = -19 --> y = -4x - 19
Graph accordingly.
Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30
whoever answer this first gets 30 points
Answer:
-3x+30
Step-by-step explanation:
[tex]4\left(x+7\right)-7x+2[/tex]
Expand [tex]4(x+7)= 4x+28[/tex]
[tex]4x+28-7x+2[/tex]
Simplify [tex]4x+28-7x+2[/tex]
[tex]-3x+30[/tex]
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 34 minutes and a standard deviation of 2
minutes. If you visit that restaurant 26 times this year, what is the expected number
of times that you would expect to wait longer than 38 minutes, to the nearest whole
number?
Is -14 greater than less than or equal to -3
Answer:
less than is the correct answer
answer choices:
A.) 31
B.) 41
C.) 19
D.) 35
Answer:
A
Step-by-step explanation:
If lines are parallel and intersected by another line then there are 2 alternating angles between them.
