Answer:
if he bought 6 bonds at $1,000 each, then 6*1000
Step-by-step explanation:
if the interest is 6.5%, then the annual interst is also 6.5%
Answer:
6.5% should be the answer of annual
In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. How much space does Lacey's mom cover in frosting?
Answer:
1360cm²
Step-by-step explanation:
Since the shape of the cake is in L shape, we can divide the cake in to rectangles..
The amount of space covered by the frosting = The sum of the areas of the sides that we can find in this L shaped cake diagram.
The sides of this cake, are shaped like a rectangle.
Hence, Area of a Rectangle = Length × Width
a) Side 1 = Rectangle on the left
Area of a Rectangle = Length × Breadth
Length = 30cm
Breadth =10cm
Area = 30 × 10 = 300cm²
Since we have another side with this measurement/ dimensions also,
Side 2 = 300cm²
Side 3 = The front face of the cube by the right
Area of a Rectangle = Length × Breadth
Length = 22cm - 10cm = 12cm
Breadth =10cm
Area = 12 × 10 = 120cm²
Likewise, we have the another side with the same dimensions as well
Hence, Side 4 = 120cm²
Side 5
30 × 5 = 150cm²
Side 6
10 × 5 = 50cm²
Side 7
20 × 5 = 100cm²
Side 8
22cm × 5 cm = 110cm²
Side 9
10cm × 5cm = 50cm²
Side 10
12cm × 5cm = 60cm²
The amount of space covered by the frosting = Area of Sides( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= (300 + 300 + 120 + 120 + 150 + 50 + 100 + 110 + 50 + 60) cm²
= 1360cm²
Answer:
1360
Step-by-step explanation:
it is correct on khan academy
how do you know if the solutions to a quadratic equation are inside, outside, on, inside and on, or outside and on the parabola??
Answer:
Plug in the x and y values into the equation
Step-by-step explanation:
Which expression can be used to find the surface area of the following triangular prism? A 16+16+55+55+8816+16+55+55+8816, plus, 16, plus, 55, plus, 55, plus, 88 (Choice B) B 10+10+55+55+8810+10+55+55+8810, plus, 10, plus, 55, plus, 55, plus, 88 (Choice C) C 8 +8+55+55+888+8+55+55+888, plus, 8, plus, 55, plus, 55, plus, 88 (Choice D) D 16+8816+8816, plus, 88
Answer:
8+8+55+55+88
Step-by-step explanation:
The surface area is the sum of all the sides
We have 5 sides
Top and bottom are the same
The area of the top is
1/2 bh = 1/2 (8)(2) = 8
The left and right sides are the same
The area of the left side is
5*11 = 55
The area of the front is
8*11 = 88
The sum of all the 5 sides are
top + bottom + left + right + front
8+8+55+55+88
Answer:
8 + 8 + 55 + 55 + 88
Step-by-step explanation:
Calculate area of base.
8 × 2 × 1/2 = 8
There are two triangles:
8 + 8
Calculate area of rectangle.
8 × 11 = 88
Calculate the areas of two rectangles.
5 × 11 = 55
55 + 55
The side length of an equilateral triangle is 6 cm. What is the height of the triangle? 2
Answer:
h=3√3 cm
Step-by-step explanation:
An equilateral triangle has 3 Equal sides
The height of an equilateral triangle with side a =a√3/2
That is,
h=a√3/2
Where,
h=height of the equilateral triangle
a=side length
From the triangle given,
a=6cm
Therefore,
h=6√3/2
=3√3
h=3√3 cm
Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle
Answer:
≈23.66
Step-by-step explanation:
Height ---> x
base ---> 5x
Formula for area of triangle: (base*height)/2
((5x)(x))/2 = 1400
[tex]5x^{2}[/tex]/2 = 1400
[tex]5x^{2}[/tex] = 1400 · 2 = 2800
[tex]x^2[/tex] = 2800/5 = 560
x= √560 ≈ 23.66
PLEASEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A = 18.85ft^2114cm^2835.578 in^224o yd^2Step-by-step explanation: I hope it helps :)
1.
[tex]Surface\: area=\:2\pi rh+2\pi r^2\\h = 2ft\\diameter = 2ft\\Radius = d/2=2/2=1ft\\\\A=( 2\times 3.141\times1\times2)+(2\times 3.141 \times 1^2)\\A = (12.564)+(6.282)\\A = 18.846\\A = 18.85ft^2[/tex]
2.
[tex]Area \:of\: square = A=a^2\\A = 3^2\\A=9\\Area\:of \:one \:rectangle\: = (l\times b)\\ A = (8\times 3)\\A = 24cm^2\\\\A = 2(Area\: of\: square)+2(Area\: of \:rectangle)\\A = 2(9)+4(24)\\A = 18+96\\A =114cm^2[/tex]
3.
[tex]Area \: of\: base=?\\ r = 7\:in\\h = 12\:in\\A = \pi \times r^2\\A = 3.141 \times 7^2\\A = 153.909\\\\Height \: of \:the \:cylinder = 12\:inches\\Circumference = 2\pi \times r\\C= 2 \times 3.141 \times 7\\ C =43.98\\\\S.A= 2B+Ch\\S.A = 2(153.909)+43.98(12)\\S.A = 307.818+527.76\\S.A =835.578[/tex]
4.
[tex]Perimeter = a+b+c\\P = 10+8+6\\P = 24\\S.A =2B+Ph\\S.A = 2(24)+24(8)\\S.A =48+192\\S.A = 240\:yd^2[/tex]
f(x) = x^2. What is g(x)?
Answer:
A. g(x)=1/2x²
Step-by-step explanation:
Given:
f(x)=x²
We have to find g(x)
Since, we are given that g(2)=2
1. g(x)=1/2x²
x=2
g(x)=1/2(2)²
=1/2(4)
=4/2
=2
2. g(x)=1/4x²
x=2,
g(x)=1/4(2)²
=1/4(4)
=4/4
=1
3. g(x)= 2x²
at x=2,
g(x)=2(2)²
=2(4)
=8
4. g(x)=(1/2x)²
x=2
g(x)={1/2(2)}²
=(1/4)²
=1/16
A. g(x)=1/2x² is the answer
combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!
Answer:
p²q³ + pq and pq(pq² + 1)
Step-by-step explanation:
Given
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Required
Collect like terms
We start by rewriting the expression
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Collect like terms
3p²q² -3p²q² - 3p²q³ +4p²q³ + pq
Group like terms
(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq
Perform arithmetic operations on like terms
(0) - (-p²q³) + pq
- (-p²q³) + pq
Open bracket
p²q³ + pq
The answer can be further simplified
Factorize p²q³ + pq
pq(pq² + 1)
Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)
The graph represents this system of equations. A system of equations. y equals 2 x minus 4. y equals 1 minus 3 x. A coordinate grid with 2 lines. The first line passes through (0, 1) and (1, negative 2). The second line passes through (0, 1) and (1, negative 2). What is the solution to the system of equations? (–4, 1) (–2, 1) (1, –4) (1, –2)
Answer:
(1,-2)
Step-by-step explanation
y = -3x + 1
y = 2x - 4
-3x + 1 = 2x - 4
-5x + 1 = -4
-5x = -5
x = 1
y= 2(1) - 4
y = 2 - 4
y = -2
(1,-2)
Answer:
1/2
Step-by-step explanation:
which line segment could be a midsegment of ∆abc
Answer:
[tex]\overline{DF}[/tex] could be a midsegment of ∠ABC.
Step-by-step explanation:
A midsegment of a triangle must be two things:
1. Parallel to the 3rd side, in this case, [tex]\overline{AD}[/tex].
2. Half the length of the 3rd side, in this case, [tex]\overline{AD}[/tex].
Since we don't know the lengths, we can only go off of 1. There is only one line that is parallel to [tex]\overline{AD}[/tex] and it is [tex]\overline{DF}[/tex].
Hope this helped!
f(x) = 5x - 3
f(5) =_____
Answer:
22
Step-by-step explanation:
Evaluate!
5(5)-3
25-3
22
Let ABC be an equilateral triangle. How many squares in the same plane as ABC share two vertices with the triangle?
Answer:
9 squares
Step-by-step explanation:
An equilateral has three equal sides. You can have two squares on each side: AB, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC. You can also have two squares on each side - BC, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC. Again, you can have two squares on each side - CA, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC. In addition, AB, BC and CA can be a diagonal of squares.
TL;DR
In conclusion, you have 9 squares in all - 3 as diagonals of squares and 6 as sides of squares. Brainliest appreciated!
No square shares more than two vertices with the equilateral triangle, so we can find the number of squares having two of their vertices at two given points and triple the result. Given 2 points, 3 squares may be drawn having these points as vertices. The figure below shows a red equilateral triangle with the 3 squares that correspond to one of the sides of the triangle. Therefore, 9 squares share two vertices with the equilateral triangle.
Leave the explanation too please.
Answer:
58 square units.
Step-by-step explanation:
From the graph attached,
Area of the figure = Area of the rectangle A + Area of two squares B and C
Area of rectangle A = Length × width
= 10 × 5
= 50 square units
Area of the square B = (Side)²
= (2)²
= 4 square units
Similarly area of the square C = 2² = 4 square units
Area of the total figure = 50 + 4 + 4
= 58 square units
Therefore, 58 square units will be the answer.
Find three solution of equation 4x+3y=12
Answer:
1.(X,Y)=(1,8/3) 2.(X,Y)=(2,4/3) 3.(X,Y)=(3/2,2)plz.. mark me as brainiestA ladder leans against a 15-foot building to form a right triangle. The ladder is placed so that it is 8 feet from the building. What is the length of the ladder?
Answer:
17 feet
Step-by-step explanation:
[tex]15^{2}+8x^{2} = x^{2} \\225 + 64 = x^{2} \\289 = x^{2} \\17 = x[/tex]
Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
Answer:
work is shown and pictured
Answer:
case 1
3x-7y=9
-4x+5y=1
using a graph tool
the solution is the point (-4,-3)------------------> one solution
case 2
y=6x-2
y=6x-4
two parallel lines
the system has no solution---------------> zero solution
case 3
-5x+y=10
-25x+5y=50
is the same line----------------> infinite solutions
Right triangle ABC is located at A (-1,-2), B(-1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
Olx + 1)2 + y + 2)2 = 9
O(x + 1)2 + (y + 2)2 = 25
OOX - 3)2 + y - 12 = 16
Ox - 3)2 + (y - 142 = 25
Answer:
(x +1)^2 + (y +2)^2 = 25
Step-by-step explanation:
A diagram of the given triangle shows you it has side lengths of 3 and 4, so the square of the hypotenuse is ...
(AC)^2 = (AB)^2 +(BC)^2 = 3^2 +4^2
(AC)^2 = 25
The center of the circle is at A(-1, -2), so the equation is ...
(x -h)^2 +(y -k)^2 = r^2
for the circle centered at (h, k) with radius r.
We know that the square of the radius (r^2) is 25, so we can write the equation as ...
(x +1)^2 +(y +2)^2 = 25
Answer:
(x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
Hope this helps :)
Triangle ABC is isosceles with AB = AC.
Angle BAC = 110° and the area of the triangle is 85cm^2
Calculate AC.
Answer:
22.5 cm
Triangle area is (L x W) / 2
7.5 x 6 = 45
45 / 2 = 22.5
Step-by-step explanation:
brainlist plzzzz
A regular polygon has 10 sides. What is the measure of each interior angle of the polygon? 36° 1440° 144° 72°
Answer:
144°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 10, thus
sum = 180° × 8 = 1440°
Each interior angle = 1440° ÷ 10 = 144°
Answer:
144 deg
Step-by-step explanation:
Sum of the measures of the angles of a polygon with n sides:
(n -2)180
For a 10-sided polygon, n = 10.
The sum of the measures is
(10 - 2)180 = (8)180 = 1440
Since the polygon is regular, all angles have the same measure, so the measure of 1 angle is
1440/10 = 144
Answer: 144 deg
Determine whether these two functions are inverses. Show your work please. f(x)=3x+27; g(x)= 1/3x+9
Answer:
Proved.
Step-by-step explanation:
The functions are:
1.) f(x) = 3x - 27 (* I am giving an answer using this equation. Perhaps you did't copy the question well!)
2.) g(x) = [tex]\frac{1}{3} x[/tex] + 9
If two functions are inverses of each other, then:
f(g(x)) = x and g(f(x)) = x situation must be satisfied.
f(g(x)) = 3([tex]\frac{1}{3}x + 9[/tex]) + 27
We simply it to get;
f(g(x)) = x - 27 + 27 = x (*This is correct)
g(f(x)) = [tex]\frac{1}{3}[/tex](3x - 27) + 9 = x - 9 + 9 = x (* This is also correct!)
Which could be used to solve this equation?
3 and one-fifth + n = 9
Subtract 3 and one-fifth from both sides of the equation.
3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth
Add 3 and one-fifth to both sides of the equation.
9 + 3 and one-fifth = 12 and one-fifth
Answer:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
Well to find n you gotta separate it.
3 1/5 + n = 9
-3 1/5
n = 5.8
Thus,
to seperate it you subtract 3 1/5 from both sides.
Answer:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
Ronald bought a car for 2,500. The value of the car depreciates by 6 percent each year. What type of function is this ?
Answer:
Exponential
Step-by-step explanation:
The liner function represents that there is a constant change in the original value of the asset
While on the other hand the ex[onential function refers to that function in which there is an increase or decreased in the value of the asset that contains the current value of the asset
Hence, the given situation denotes the exponential function
When you conduct a t test, the calculated value of t can be negative. True/False
Answer:
True.
Step-by-step explanation:
In t-test test the value of t can be either negative or positive.
If value of t is negative, then it lies to the left of the mean.
If value of t is Positive, then it lies to the right of the mean.
The given statement is "When you conduct a t test, the calculated value of t can be negative.".
Therefore, the given statement is true.
What is the volume of the following rectangular prism? the height is 5 and 1/4 and the base is 8
Answer:
V = 42 units ^3
Step-by-step explanation:
The volume of a rectangular prism is
V =Bh
V = 8*5 1/4
Changing to a mixed number
V = 8* ( 5*4+1) /4
=8*21/4
= 42 units^3
Answer:
[tex]\huge\boxed{V=42\ u^3}[/tex]
Step-by-step explanation:
Th formula of a volume of a prism:
[tex]V=BH[/tex]
B - base
H - height
We have
[tex]B=8;\ H=5\dfrac{1}{4}=\dfrac{5\cdot4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]
Substitute:
[tex]V=(8)\left(\dfrac{21}{4}\right)[/tex] simplify 8 and 4
[tex]V=(8\!\!\!\!\diagup)\left(\dfrac{21}{4\!\!\!\!\diagup}\right)=(2)(21)=42[/tex]
Find the indicated functional value for the ceiling function: f(1.5)?
Answer:
The correct answer is 2Step-by-step explanation:
The ceiling function is a python programming function that rounds a decimal point number to the nearest whole number.
Given the function expression f(1.5), the ceiling function will round 1.5 to the nearest whole number which is 2
PLEASE HELP MEE I need help finding x a b and c
Answer:
Step-by-step explanation:
Because of the Isosceles Triangle Theorem, both the base angles of that triangle measure a. We also know that a + b = 180 because of the definition of supplementary angles. So we have 2 equations from that info. First is the fact that
a + 7x = 180 and the second is
2x + a + a = 180 because of the Triangle Angle-Sum Theorem. If the left side of the first equation = 180 and the left side of the second equation also = 180, then by the transitive property of equality,
a + 7x = 2x + a + a and
a + 7x = 2x + 2a and
5x = a. Now that we know that a = 5x, we go back to our triangle and fill in 5x as a:
5x + 5x + 2x = 180 (the Triangle Angle-sum Theorem again) and
12x = 180 so
x = 15. If x = 15, then
a = 5(15) = 75,
b = 7(15) = 105, and
c = 2(15) = 30
In a state lottery 25 balls numbered from 1 to 25 and placed in machine. 6 numbers randomly drawn. And here is the chart what can win a player by buying single lottery ticket: 6 number match $10,000 5 number match $ 5,000 4 number match $ 1000 3 number match $ 5,00 2 number match $ 50 1 number match $ 10. what is the probablity that a player will will 10000 dollars
Answer: 0.00000565
Step-by-step explanation:
Required to win:
6 number match $10,000
5 number match $ 5,000
4 number match $ 1000
3 number match $ 5,00
2 number match $ 50
1 number match $ 10
Therefore, to win $10,000 ;
All 6 numbers must match
Number of right numbers = 6
Total numbers = 25
Since it is without replacement :
Probability = required outcomes / Total possible outcomes
P(First number match) = 6/25
P(second number match) = 5/24
P(third number match) = 4/23
P(fourth number match) = 3/22
P(fifth number match) = 2/21
P(sixth number match) = 1 / 20
Therefore, Probability of winning $10000 :
(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465
= 0.00000565
n Fill in the blank. The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further. The (1) for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
Answer: sample space
Step-by-step explanation: In determining the probability of a certain event occurring or obtaining a particular outcome from a set of different possible outcomes, such as in the toss of coin(s), rolling of fair die(s), the sample space comes in very handy as it provides a simple breakdown and segmentation of all possible events or outcomes such that in Calculating the probability of occurrence of a certain event, the event(s) is/are located in the sample space and the ratio taken over the total number of events.
what does it mean for a savings account to have a minimum balance
Step-by-step explanation:
You have to retain a certain amount of money
in that account forever. Say you need $50 to
start an account, you have $200 in that account.
You cannot take out more than $150 from that
account.
Answer:
A: If you do not keep at least that much money in the account, you will be assessed fees.
Step-by-step explanation: