Given:
Let us consider,
Length of a rectangular prism = 8 inches
Width = [tex]6\dfrac{3}{4}[/tex] inches
Height = [tex]5\dfrac{1}{4}[/tex] inches
To find:
The volume of the rectangular prism.
Solution:
The volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting the given values, we get
[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]
[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]
[tex]V=\dfrac{567}{2}[/tex]
[tex]V=283.5[/tex]
Therefore, the volume of the rectangular prism is 283.5 cubic inches.
Express each quotient in the simplest form. A. B. C. D.
What is the answer? There is nothing people have said to help
PLEASE HELP!! I’m very confused
Find the surface area of each prism or pyramid. Round to the nearest tenth if necessary. Can someone help me with 17-19 for 30 points
What phrase describes slope?
A Constant rate of change
B constant rate of percent
C constant rate of interest
Answer:
-A Constant rate of change
Step-by-step explanation:
I learned this for years.
The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.
Answer:
x = 12°
Step-by-step explanation:
The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.
The sum of the exterior angles of a polygon sums up to 360
An hexagon is a 6 - sided polygon
(x + 2x + 5x + 6x + 7x + 9x) = 360
30x = 360
Divide both sides by 30
x = 360 / 30
x = 12
Hence, x = 12°
Kyleigh invested $2800 in an account paying an interest rate of 5 1/2% compounded annually Ariana invested $2800 in an account paying in interest rate of 5 3/4%compounded continuously after 12 years how much more money with Ariana having her account then Kylie to the nearest dollar?
Answer:
$259
Step-by-step explanation:
\text{Rate 1: }5\tfrac{1}{2}\%=5+1/2=
Rate 1: 5
2
1
%=5+1/2=
\,\,5.5\%\rightarrow 0.055
5.5%→0.055
\text{Rate 2: }5\tfrac{3}{4}\%=5+3/4=
Rate 2: 5
4
3
%=5+3/4=
\,\,5.75\%\rightarrow 0.0575
5.75%→0.0575
\text{Calculate Final Amount for Kylie}
Calculate Final Amount for Kylie
\overline{\phantom{\text{Calculate Final Amount for Kylie}}}
Calculate Final Amount for Kylie
\text{Compounded Annually:}
Compounded Annually:
A=P(1+r)^t
A=P(1+r)
t
P=2800\hspace{35px}r=0.055\hspace{35px}t=12
P=2800r=0.055t=12
Given values
A=2800(1+0.055)^{12}
A=2800(1+0.055)
12
Plug in values
A=2800(1.055)^{12}
A=2800(1.055)
12
Add
A=5323.381
A=5323.381
Use calculator
\text{Calculate Final Amount for Ariana}
Calculate Final Amount for Ariana
\overline{\phantom{\text{Calculate Final Amount for Ariana}}}
Calculate Final Amount for Ariana
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=2800\hspace{35px}r=0.0575\hspace{35px}t=12
P=2800r=0.0575t=12
Given values
A=2800e^{0.0575(12)}
A=2800e
0.0575(12)
Plug in
A=2800e^{0.69}
A=2800e
0.69
Multiply
A=5582.4035
A=5582.4035
Use calculator (with e button)
\text{How much more money Ariana has:}
How much more money Ariana has:
5582.4035-5323.381
5582.4035−5323.381
259.0225
259.0225
Someone help me please !!!
HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.
examples below:
1.The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB = CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm , EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem : 2 * 4 = 2.5 * ED
ED = (2 * 4) / 2.5
= 3.2 cm.
2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle
Please help! you will get 'Brainliest' if you do.
Answer:
D is correct, based on my understanding
Step-by-step explanation:
Identify the values of a, b, and c in the following quadratic equation. 5x 2 - 4x + 8 = 0 a = , b = , c =
Answer:
a=5
b=-4
c=8
Step-by-step explanation:
Find the value of x. 5x+33+17x+37
*X can not be found, only simplified or factored)
5x+33+17x+37
Add the x units
22x+33+37
Add the 33 and 37
22x + 70
Subtract 77 to the other side
Simplify: 22x = -70
Factor: 2(11x+35)
Identify slope (m) and y-intercept (b): 4y - 3x = 4*
1. m = 4/3 b = 4
2. m = 3/4 b = 1
3. m=-3 b = 4
4. m = 3/4 b = 4
Answer:
2.
Step-by-step explanation:
y = 3/4x +1
m = 3/4 b = 1
hope this helps
Hello if you can please help
Answer:
24.61 cm2
Step-by-step explanation:
Area=( (a+b)/2)*h
((3.2+7.5)/2*4.6
(10.7/2)*4.6
5.35*4.6
24.61
find the product
(n+8)(m-2)
Answer:
nm - 2n + 8m - 16
Step-by-step explanation:
(n + 8) (m - 2)
nm - 2n + 8m - 16
De dónde se obtienen los datos generales complementarios que se utilizan para calcular la razones de actividad
Answer:
En el departamento de ventas.
Explicación paso a paso:
Los datos generales complementarios se pueden obtener del departamento de ventas donde están presentes los datos sobre ventas y nos ayudan a calcular los ratios de actividad. El índice de actividad se puede calcular dividiendo las ventas de la empresa por sus activos totales. Este índice de actividad indica la eficiencia de una empresa mediante el uso de sus activos disponibles para producir ventas. El índice de actividad también se denomina "Índice de gestión de activos". Los datos de ventas son necesarios para el índice de actividad que puede estar disponible en el departamento de ventas.
divide $50 in the ratio 2:3
Answer: 2:3=5
$50=5 units
divide both sides by 5
$10=1unit
times 2 both sides
$20=2 unit
if we times 3 of $10=1 unit
$30=3 unit
divided it is $20:$30
→ Hope this helps ←
how do you calculate ratios
Answer:
A link for a calculator that I use for ratios
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/math/ratios.php
Round 452.196 to the nearest tenth
what do you need to find in order to solve a system
Answer:
A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.
Calculate the perimeter of this figure. Round your answer to 2 decimal places. Show all work and
include proper units. DONT FORGET TO FIND MISSING SIDE
6 ft
10 ft
6 ft
10 ft
TEIS PM
Answer:
32 ft
Step-by-step explanation:
that's a right answer
Enzo saw
45
squirrels at the park. This was
9
times as many squirrels as he saw in his yard.
Answer:
Its easy 45×9=405 simple Mental math
PLEASE HELP
4. Is this a right triangle? Side lengths of 4 in., 6 in., and 9 inches.
O Yes
Ο Νο
Answer:
yes
Step-by-step explanation:
:)
Answer:
no
Step-by-step explanation:
The sides of the given lengths will form a right triangle if they satisfy the Pythagorean theorem.
c² = a² + b²
9² = 4² +6²
81 = 16 +36 . . . . . not true
These side lengths do not form a right triangle. (They form an obtuse triangle.)
Please help me with this kahn assignment!
Thank you
Answer:
[tex]7^{8}[/tex]
Step-by-step explanation:
When you multiply exponential numbers with the same base number, you have to add the exponents. So add 2 and 6 because the numbers share 7 as base.
please give brainliest if it helped:)
theres one more page
You can buy 3 apples at the Quick Market for $1.05. You can buy 5 apples at
Stop and Save for $2.25. Which place is the better buy (best money value)?
Show work please:)
Write a positive or negative number to represent each change in the high temperature. Tuesday's high temperature was 4 degrees less than Monday's high temperature. *
Answer:
-4
Step-by-step explanation:
Help please, I suck at maths
Answer:1, 5
Step-by-step explanation:
divide the expression to get your answer then divide the choices on the right. find the ones with the same answer.
Answer:
7,610/50
.761/.005
Step-by-step explanation:
Compare both expressions' sums and check them off.
There are 5 people at a party. They decide to share 3 ice cream sandwiches equally.
Which model shows how much of the ice cream sandwiches each person will get?
C.
D
Answer:
your answer will be D. I think :)
Answer: d
i have the test
Sean solved a quadratic equation by factoring.
The problem he solved is given. Complete the
four blanks shown for one of his steps and the
solution
Step-by-step explanation:
Here are the steps required for Solving Quadratics by Factoring:
Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: x2 + 16 = 10x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the
according to the graph, what is the approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet?
Answer: the answer is 0.125 foot per square foot
Step-by-step explanation: