Answer:
The surface area is 644 cm^2.
Step-by-step explanation:
The first thing I did was to find the SA of the top figure (excluding the bottom face, I'll get to that later). The dimensions of the figure has a square base with sides measuring 3 cm and a height of 8 cm. So then, I solved the the SA of the exposed faces and did the following:
Green Figure SA = (3 x 3) + 4(8 x 3)
= (9) + 4(24)
= (9) + (96)
= 105 cm^2
Now we get to the red figure. The reason why I excluded the bottom face of the green figure was because it was reducing the SA of the top face of the red figure. Knowing that the figure has a width of 10 cm and a length of 12 cm, I did the following:
Red Figure Top Face = 10(12) - 3(3)
= 120 - 9
= 111 cm^2
Then the next step is to solve for the SA of the entire red figure. Using what I've got for the top face, I did the following:
Red Figure SA = 111 + 2(7 x 10) + 2(7 x 12) + 10(12)
= 111 + 2(70) + 2(84) + (120)
= 111 + (140) + (168) + 120
= 539 cm^2
The last step is to just add the two SA's.
SA = 105 + 539
SA = 644 cm^2
Victor and Kelsey have identical sandwiches. Victor eats \frac{2}{5} of his sandwich. If Kelsey eats \frac{15}{8} as much as Victor does, what fraction of her sandwich did she eat?
Answer:10/5
Step-by-step explanation:
A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs 20. For what price did he purchase the T-shirt?
Answer:
purchased it for 1600
Step-by-step explanation:
[tex].88x-y\:=\:-16\:\\\:.9x-y\:=\:20[/tex]
Finance A bicycle shop hires road bikes for £25 per day and tandems for £40 per day. One day a family pays £155.
a Which type of bicycles did they hire?
b How many people are in the family?
Answer:
3 road bikes and 2 tandems
7 people
Step-by-step explanation:
25b + 40t = 155
b=3 and t = 2
Check
25*3 + 40*2 = 155
75+80 = 155
Assuming 1 person per road bike and 2 people per tandem
3*1 + 2*2 = 3+4 = 7
HELPPP
Solve: r = -5 + 19. r =____?
-24
14
-14
24
Answer:
14
Step-by-step explanation:
19 - 5 = 14
100 divided by 3.2 Thank u
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
What is the equation of the graph?
Answer:
[tex]y=2x^2+1[/tex]
Step-by-step explanation:
The general equation for a parabola in vertex form is the following:
[tex]y=a(x-h)^2+k[/tex]
Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,
[tex]y=a(x-h)^2+k[/tex]
Vertex: (0, 1)
[tex]y=a(x-0)^2+1[/tex]
A point on the parabola: (1, 3)
[tex]3=a(1-0)^2+1[/tex]
[tex]3=a1+1\\3 = a + 1\\[/tex]
Inverse operations,
[tex]3=a+1[/tex]
[tex]2 = a[/tex]
Substitute back into the original expression:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=2(x-0)^2+1[/tex]
Simplify to put in standard form:
[tex]y=2(x-0)^2+1[/tex]
[tex]y=2(x)^2+1[/tex]
[tex]y=2x^2+1[/tex]
A ski instructor earns $997.50 for a 35-hour week. What is her hourly rate of pay?
Answer:
$28.5
Step-by-step explanation:
Which equation represents a proportional relationship between
x and y?
A: k/x = y
B: k - x = y
C: k + x = y
D: k * x = y
Answer:
D: k*x=y
Step-by-step explanation:
a proportional relationship is basically a linear equation (y=mx+b)
You can
Figure A to map it onto Figure Din a single transformation."
1.answers
2.rotate
3.reflect
4.translate
5.dilate
Answer: a
Step-by-step explanation:
Express -5/8 as a rational number with -24 as the denominator
Answer:
Step-by-step explanation:
Hello!
-5/8 = (-5*-3)/ (8*-3) = 15/-24
Write the equation of the graph shown below in factored form.
f(x) = (x − 2)2(x + 1)(x − 4)
f(x) = (x + 2)2(x − 1)(x + 4)
f(x) = (x + 2)2(x + 1)(x + 4)
f(x) = (x − 2)2(x − 1)(x − 4)
Answer:
(x+2)2(x+1)(x+4)
Because
x=-4. x=2. x=-1
(x+4). (x+2). (x+1)
x + x(x + y) + y; use x = 4, and y = 1
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{x + x(x + y) + y}[/tex]
[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]
[tex]\huge\text{= 4 + 4(5) + 1}[/tex]
[tex]\huge\text{= 4 + 20 + 1}[/tex]
[tex]\huge\text{= 24 + 1}[/tex]
[tex]\huge\text{= 25}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Hi,
we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1
equation: X + X (X + Y) + Y
equation after substituting the numbers: 1 + 1 (1 + 4) + 1
Bidmas rules apply.
expand the bracket first. 1 (1 + 4)=
1 X 1= 1
1 X 4= 4
1 + 4 = 5
then the equation becomes: 1 + 5 + 1= 7
your answer is 7 if you want to evaluate it.
your answer is 1 + 1 (1 + 4) + 1 if you need the equation.
, hope that helps :)
Use substitution to solve the following system of equations. What is the value of y?
Answer:
y = 6Step-by-step explanation:
Use the second equation:
2x - y = 2 ⇒ y = 2x - 2Substitute this into first equation:
3x + 4(2x - 2) = 363x + 8x - 8 = 3611x = 44x = 4Now find y:
y = 2*4 - 2 y = 8 - 2y = 6It is given that,
→ 2x - y = 2
Convert the equation as,
→ y = 2x - 2
First we should,
find the required value of x.
→ 3x + 4(2x - 2) = 36
→ 3x + 8x - 8 = 36
→ 11x = 44
→ [x = 4]
Let's find the required value of y,
→ y = 2x - 2
→ y = (2 × 4) - 2
→ y = 8 - 2
→ [y = 6]
Therefore, the value of y is 6.
Please help solve this. 10points worth it
Answer:
The function is a growth function so I guess A, B and D
suggest a growth curve
Step-by-step explanation:
Correct answer gets brainliest and 5 stars
Answer:
16 ft
Step-by-step explanation:
Slant Height=sqrt(Radius^2+Height^2)
Height=sqrt(20^2-12^2)=sqrt(256)=16 ft
Solve for x. Enter your answer using digits. 4x−14+6=12 x=
Answer:
x = 5
Step-by-step explanation:
Given
4x - 14 + 6 = 12 , that is
4x - 8 = 12 ( add 8 to both sides )
4x = 20 ( divide both sides by 4 )
x = 5
simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2
Answer:
I did this same answer on another app
hope this help☺️
[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]
please mark this answer as brainlist
In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.
Answer:
please translate to English for fast response
Answer:
∡AEF=45°
Step-by-step explanation:
AB=CD ⇒
arcele AB=AC (la coarde egale corespund arce egale)⇒
arc(AB)+arc(BC) = arc(BC)+arc(BD) (descompunerea arcelor AB si AC)⇒
arc(AC)=arc(BD) ⇒
∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒
ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒
[EA]≡[ED], dar si [OA]≡[OD] (OA si OD raze ale cercului)⇒
EO e mediatoarea [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒
[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒
∡AEF=45°
which of the following are remote interior angles of 5 ?
Answer:
The answer is B and C.
Answer: B AND C
Step-by-step explanation:
Remote interior angles are angles that are opposite from the exterior angles (5 in this case).
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon
Answer:
The salon would've made $1,240.
Step-by-step explanation:
Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:
Revenue = 100(first visit) + 30(second visit) + 10(third visit)
And now, we just solve:
r = 100(10) + 30(6) + 10(6)
r = 1,000 + 180 + 60
r = $1,240
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
I suggest getting this app called photo math, it will help you soo much.
Answer:
x = 3
Step-by-step explanation:
4 (x - 1 ) + 4x -1 = 19
solve the brackets first
4x - 4 + 4x -1 = 19
4x + 4x -4 -1 = 19
8x -5 = 19
8x = 19+5
8x = 24
x = 24/8
x = 3
Solve by factoring
6x^2 +13x -28 =0
Answer:
x=-7/2, x=4/3
Step-by-step explanation:
[tex]6x^2+13x-28=0[/tex]
Multiply 6 and -28 to get -168
Find 2 numbers that multiply to 168 but add to 13
They are 21 & -8
Rewrite the equation into:
[tex]6x^2+21x-8x-28=0[/tex]
Factor
[tex]3x(2x+7)-4(2x+7)=0[/tex]
(3x-4)(2x+7)=0
3x=4
x=4/3
2x=-7
x=-7/2
Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____
Answer:
-2
(0, 1)
Step-by-step explanation:
Giveb the function :
F(x) = 3^x + 1 – 2
To obtain the asymptote, take the limit of f(x) as x as tends to ∞
3^(∞+1) - 2 = 0 - 2
Hence,
y = 0 - 2.
y = - 2
The y intercept, this is the value of y when x = 0
Hence, put x = 0
F(0) = 3^(0 + 1) – 2
f(0) = 3^1 - 2
f(0) = 3 - 2
f(0) = 1
Y - intercept = (0, 1)
Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]
Answer:
X is 11.8
Step-by-step explanation:
You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.
witch is equivalent to 3x+5+7x+2
1. 17
2. 15x+2
3.10x+7
4. 17x
Answer:
option 3
Step-by-step explanation:
Given
3x + 5 + 7x + 2 ← collect like terms
= (3x + 7x) + (5 + 2)
= 10x + 7 → option 3
According to the question
=3x + 5+7x + 2
Combining Like terms
= (3x + 7x) +(5+2)
= 12x + 7
Therefore the correct option is third
10x + 7
Answered by Gauthmath must click thanks and mark brainliest
Mark all the statements that are true please help
Step-by-step explanation:
the correct answer is option c
What is the equation of the line?
Rewrite 4/6 : 1/3 as a unit rate.
A. 12:6
B. 12:1
C. 2:1
D. 2/9
Answer:
C
Step-by-step explanation:
(4/6) : (1/3), multiply by 3 both sides
(4/2) : 1 = 2:1
Answer:
A. 12:6
Step-by-step explA. 2
SE MULTIPLICA 4X3 Y 6X1