Complete Question
A countertop for a kitchen is modeled with the dimensions shown below. An
18-inch by 21-inch rectangle will be removed for the installation of the sink.
8 ft
2 ft
Sink
18 in
21 in
5 ft
2 ft
What is the area of the top of the installed countertop, to the nearest square foot?
Answer:
19 square foot
Step-by-step explanation:
A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.
Convert from inches to feet
18 inches
1 inch = 0.0833 feet
18 inch = x
Cross Mulitiply
x = 18 × 0.0833 feet
x = 1.5 feet
21 inches
1 inch = 0.0833 feet
21 inch = x
Cross Mulitiply
x = 21 × 0.0833 feet
x = 1.75 feet
Area 1 = 2 ft × 8 ft = 16 ft²
Area 2 = 2 ft × 3 ft = 6 ft²
Area of a sink = Length × Width
= 1.5 ft × 1.75 ft
= 2.625 square feet
Area 1 - Area of sink
= 16 ft² - 2.625 ft²
= 13.375 ft²
Area of the top installed part =
Area 2 + 13.375 ft²
= 6 ft² + 13.375 ft²
= 19.375 ft²
Approximately ≈ 19 ft²
PLEASE HELP ME!!! WHOEVER HELPS ME AND GETS IT RIGHT WILL GET BRAINIEST!!!
Answer: it would be D
Step-by-step explanation: because the x intercept is zero and the equation solved is 6
find the value of x. round to the nearest tenth.
Answer:
x = 26.4
Step-by-step explanation:
Hi there!
What we need to know:
Basic trigonomic ratios (θ is the reference angle):
Sine θ = opposite / hypotenuseCosine θ = adjacent / hypotenuseTangent θ = opposite / adjacentGiven the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:
sin(x) = 4/9
To solve for an angle given the side lengths, we use the inverse functions:
x = sin^-1 (4/9)
x = 26.4
I hope this helps!
I need help with this asap!!!!
Answer:
26.6 but that is not one of yor answers...
I think you have a typo in "A"
I think that your have a typo in the answers
x/sin(40) = 32/sin(90)
x = 26.6
Step-by-step explanation:
what is the answer for x⁵÷x⁸
answer:
the answer is 40 because any expression divides itself is equals to 1
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{x^3}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Someone pls help me :p
Which is an irrational number?
It’s question number 5 pls
Answer:
A.
Step-by-step explanation:
An irrational number is a number that goes on forever without repeating. The square root of 2 does exactly this.
Which points are solutions to the system of inequalities shown below?
Check all that apply.
ys X+4
y>x
Xs6
D A. (7,9)
OB. (3,8)
C. (4,5)
OD. (5,9)
O E. (2,2)
F. (6,8)
Answer
It is (7,9) (5,9) and (6,8)
Step-by-step explanation:
which of the expressions are equivalent to the one below? check all that apply.
5 x (8+3)
A. 55
B. 5 x 24
C. 43
D. 5 x 8 + 5 x 3
Step-by-step explanation:
Hola supiste algo bro o no
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
Solve x2 + 10x + 7 = 0 by completing the square.
Which equation is used in the process?
( x + 5) 2 = 32
( x + 5) 2 = 18
( x + 10) 2 = 93
Decrease £15890.23 by 16.5%
Give your answer rounded to 2 DP
Answer:
£13,268.35 (sorry if this is incorrect :P)
Step-by-step explanation:
16.5% = 0.165
15890.23 x 0.165 ≈ 2621.88
15890.23 - 2621.88 = 13,268.35
Solve 7+7a=7(2-b) for b
Answer:
b = 1 - a
Step-by-step explanation:
Given
7 + 7a = 7(2 - b) ← divide both sides by 7
1 + a = 2 - b ( subtract 2 from both sides )
- 1 + a = - b ( multiply through by - 1 )
1 - a = b
Answer:
[tex]b = (a - 1)[/tex]
Step-by-step explanation:
Question[tex]7 + 7a = 7(2 - b)[/tex]
First Solve the brackets
[tex]7 + 7a = 7(2 - b) \\ 7 + 7a = 14 - 7b[/tex]
Then Make the b as the Subject
[tex]7 + 7a = 14 - 7b \\7 + 7a - 14 = 7b \\ 7a - 7 = 7b \\ 7(a - 1) = 7b \\ \frac{7(a - 1)}{7} = \frac{7b}{7} \\ a - 1 = b[/tex]
hope this helps you.
Have a nice day!
Which products result in a perfect square trinomial? Select three options.
Answer:
(- x + 9)(- x - 9)
(x y + x)(x y + x)
(2 x - 3)(- 3 + 2 x)
(16 - x squared)(x squared - 16)
(4 y squared + 25)(25 + 4 y squared)
Step-by-step explanation:
Bonus Question:
a. Consider the function f(x) = ax^2 + c
Find f'(x)
b. Point A (-2, 5) lies on the graph of y = f(x).
The gradient of the tangent to this graph at A is -6. Find the value of a.
c. Find the value of c.
Please answer this question and please show your work too. Anyone who is able to do this correctly will receive 50 points from me. (This assignment is about Derivatives)
Answer:
I'm not sure what to do not doing this in skl
Find the area of the equilateral triangle below. Round to 1 point
the nearest tenth.
Answer:
25√3mm
Step-by-step explanation:
this might be the answer..
Answer:
[tex]25\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{10^2*\sqrt{3} }{4}[/tex]
Mustafa is flying his kite, and Ana is watching from 20 m away, as shown. From Ana's perspective there is an
angle of 109 between Mustafa and his kite. The length of the string between Mustafa and the kite is 46 m.
Kite
46 m
109
?
Mustafa
Ana
20 m
From Mustafa's perspective, what is the angle between Ana and the kite?
Do not round during your calculations. Round your final answer to the nearest degree.
Answer: From Mustafa's perspective, there is a 47\degree47°47, degree angle between Ana and the kite.
Step-by-step explanation: Khan Academy
Please help I need help
Answer:
2 1/3
Step-by-step explanation:
I need help ASAP √34x√y=34
What’s the answer !?
Answer:
y:3 4
Step-by-step explanation:
[tex]\sqrt{34} x \sqrt{y} :34\\\sqrt{34y}:34\\34y:1156\\[/tex]
[tex]y:34\\\sqrt{34} \sqrt{34}:34\\ 34:34\\y:34[/tex]
-78 + (-30)=
HINT = - + = -
Answer:
-108 is the answer to the question..
Answer:
-108
Step-by-step explanation:
Someone please help me
can i get help lost on this one
[tex]\cfrac{\frac{a}{b}}{\frac{c}{ d}}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{3x^2-3}{x^2+3x}~~}{\frac{x+1}{x(x+3)}}\implies \cfrac{3x^2-3}{x^2+3x}\cdot \cfrac{x(x+3)}{x+1}\implies \stackrel{\textit{common factoring}}{\cfrac{3(x^2-1)}{~~\begin{matrix}x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+1}[/tex]
[tex]\textit{keeping in mind that}\qquad x^2-1\implies x^2-1^2\implies (x-1)(x+1) \\\\\\ \cfrac{\stackrel{~~\textit{difference of squares}}{3(x^2-1^2)~\hfill }}{x+1}\implies \cfrac{3(x-1)~~\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 3(x-1)[/tex]
Supriya is decorating her bedroom. She plans to hang strings of twinkle lights all the way around her walls. She measures the walls and finds she will need 36meters of lights.(area,lenght,or perimeter)
Answer:
Perimeter
Step-by-step explanation:
Required
What does 36m represent?
From the question, we understand that the 36m is the measurement of the wall.
This, in other words, means the perimeter of the wall.
Hence, Supriya measured the perimeter
Factor the following polynomial completely. 5x4+20x3-105x2
Answer:
[tex]5x^{2}(x+7)(x-3)[/tex]
Step-by-step explanation:
5x4+20x3-105x2
5x2( x^2 +4x -21)
[tex]5x^{2}(x+7)(x-3)[/tex]
Find the remaining sides and angles in the triangle. Round your answers to the nearest tenth.
mZA = 55°, mZB = 44°, and b = 68
a. m2C = 81°, a = 96.7, c =80.2
b. m2C = 81°, a = 80.2, c = 96.7
C. m2C = 81°, a = 89.2, c = 57.7
d. m2C = 81°, a = 57.7, c =89.2
Answer:
The answer is "Option b".
Step-by-step explanation:
[tex]m\angle A = 55^{\circ}\\\\m\angle B = 44^{\circ}\\\\m\angle C = 180^{\circ}-(55^{\circ}+44^{\circ})\\\\[/tex]
[tex]= 180^{\circ}-99^{\circ}\\\\=81^{\circ}\\\\[/tex]
[tex]\frac{a}{\sin 55^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\a = \frac{68 \ \sin 55^{\circ}}{\sin 44^{\circ}}\\\\a= 80.2^{\circ}\\\\\frac{c}{\sin 81^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\c = \frac{68 \ \sin 81^{\circ}}{\sin 44^{\circ}}\\\\c= 96.7^{\circ}\\\\[/tex]
Which polynomial correctly combines the like term and express the given polynomial in standard form
Answer:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
Step-by-step explanation:
Given
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]
Required
Correctly combine the like terms
We have:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]
Collect like terms (in decreasing degrees of m)
[tex]- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6[/tex]
[tex]-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
So:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
john bought a new game system for $529 how much is he in debt
Answer:
Depending on how much he had before he bought the game system.
Which equation represents a line with a slope of -2? PLEASE ITS ERGENT BARBS
Answer:
C i think
Step-by-step explanation:
because c has y=x-2.
Given:
WXYZ is a rhombus.
If 5 = 20°, then 1 =
20
40
70
Answer:
20
Step-by-step explanation:
alternate angles of two parallel lines WX and ZY
Answer:
20!
Step-by-step explanation:
please answer I need this answer fast please
D
its just a basic logarithmic law.
list the set of ordered pairs that had a domain that consists of multiples of 3 from -3 to 15
Answer:
Multiple of 3 from -3 to 15 are:-
3, 6, 9, 12 , 15
hope it is helpful to you ☺️
Find the slope of the line containing the points (2,7) and (-5, -4).
Answer:
5
Step-by-step explanation: