9514 1404 393
Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
Find the unit tangent vector at the given value of t for the following parameterized curves.
r(t)= ⟨7–√e^t,3e^t,3e^t⟩
, for 0≤t≤1
; t=ln 2
Answer:
[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Step-by-step explanation:
Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]
We first have to differentiate of equation [tex](i)[/tex]
[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]
Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]
[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]
[tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex] [∵[tex]e^{lna}=a[/tex]]
Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.
[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]
[tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]
[tex]= \sqrt{\frac{145}{2} }[/tex]
Now we can find the our unit tangents vector.
[tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]
[tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]
[tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]
[tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hw help ASAPPP
+10PTS
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 32 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
i think it 0.4%
Step-by-step explanation:
Solve using Graphing. x-y=-7 2x+9y=19
Answer:
(-4, 3)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect would be the solution set to the systems of equations.
The triangles are similar.
What is the value of x?
Enter your answer in the box.
X=
2.) Customers left Jill $2.50 as a tip. The tip was 20% of the total. How much was the bill?
Answer:
50 was the bill thanks so much for improving my knowledge
What is 9 divided by 0.17
Answer:
52.94
Step-by-step explanation:
Answer: It's 52.9411765
Find the value of X that makes ABC-DEF
Answer:
x=4
Step-by-step explanation:
The value of x from the given similar triangles is 7 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
The given triangles ABC and DEF are similar triangles.
Here, AB/DE =AC/DF =BC/EF
4/12 =8/3(x+1)
8/3(x+1) =1/3
24=3x+3
3x=24-3
3x=21
x=7
Therefore, the value of x is 7 units.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
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The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find an equation for the parabola.
INCLUDE WORK.
Answer:
y=-0.215x^2+35
Step by Step:
Let, [tex]h=0[/tex], [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]
We know that, the general equation of the parabola.
[tex]y-k = a(x-h)^2[/tex]
[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]
Substitute the value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]
[tex]21=a(8-0)^2+35[/tex]
[tex]\Rightarrow 21=a\times 8^2+35[/tex]
[tex]\Rightarrow 21=64a+35[/tex]
[tex]\Rightarrow 64a=21-35[/tex]
[tex]\Rightarrow 64a=-14[/tex]
[tex]\Rightarrow a=\frac{-14}{65}[/tex]
[tex]\Rightarrow a=-0.215[/tex]
Hence, the equation of the parabola is:
[tex]y=-0.215x^2+35[/tex]
Tell whether the angles are complementary or supplementary. Then find the value of a
2x
(3x + 25)
Answer:
31
Step-by-step explanation:
3x + 25 + 2x = 180
3x + 2x = 180 - 25
5x = 155
x = 31
the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high. how Long is the base of the screen?
Answer:
40.20cm approx
Step-by-step explanation:
Step one
given data
We are told that the dimension of a computer screen
diagonal= 52 cm
height= 33cm
Length = ?
Required
The length of the base of the screen
Step two
Let us use Pythagoras theorem to find the length of the base
Hyp^2= Opp^2+ Adj^2
52^2= 33^2+ L^2
2704= 1089+L^2
L^2= 2704-1089
L^2= 1615
L=√1615
L= 40.20cm approx
The length is 40.20cm approx.
What’s the answer? Pls help soon
Answer:
Step-by-step explanation:
didn't distribute the 3 into the six
16z+72z-18-7-31z
57z-25
I GIVEEEE BRAINLILST
Answer:
reduction
Step-by-step explanation:
the orange is a reduction of the black shape because it is the same shape just smaller
Answer:
it's a reduction because the new shape is smaller than the original shape
Step-by-step explanation:
A home-improvement store sold blinds for $35. A customer signed up for a free membership card and received a 7% discount off the price. Sales tax of 7% was applied after the discount. What was the final price of the blinds?
Answer:35
Step-by-step explanation:
35x93/100=32.55
32.55x107/100=35
Provide a radian measure of an angle that is 5/8 of a revolution counterclockwise from the x-axis.
The Mountain Spring Water Company is moving their backup supply of drinking water to a different site. Each tank weighs according the table shown here. Determine if the function is linear or not.
both
neither
linear
nonlinear
PLEASE HELP ASAP WILL GIVE BRAINLIEST
What is the value of x?
Enter your answer in the box.
x =
Answer:
35 = x +4 (subtract 4 from both sides to isolate x)
x = 31
Step-by-step explanation:
I hope this helps :)
Answer:
Step-by-step explanation:
if 50% is 7 what is 25%, 75%, and 100%
Answer:
100% = 14
75% = 10.5
25% = 3.5
Answer:
100% = 1475% = 10 1/250% = 725% = 3 1/2Step-by-step explanation:
50% if a number is also 1/2 of that number. So, we multiply 7 by 2 to get 14.
Now we know that we need to solve for 25%, 75%, and 100% of 14.
100% of a number is just that number, so 100% of 14 is 14.
To solve for 75% of 14, we multiply 3/4 by 14.
3/4 x 14/1 = 42/4 = 10 1/2
The final number to solve for is 25% of 14.
1/4 x 14/1 = 14/4 = 3 1/2
I’ll give Brainly.. Please please help
Answer:
b
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Pa follow po na log out kasi ang isa kong brainly
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
number 2 is 20 percent so j
Step-by-step explanation:
which expression is equivalent to 4a+4/2a × /2a/a+1
Answer:
It Is >
Step-by-step explanation: Try Using Your Calculator It Help's.
I Also Took The Quiz And I Got This Question Correct.
Answer:
C. 2a
Step-by-step explanation:
edge, mark me brainliest
WILL MARK BRAINLIEST!!!
Answer:
2/3
Step-by-step explanation:
k = y/x
k = 2/3
12 + r = 3
I need the answer to this problem?
Answer:
I think the answer would be r=-9
Step-by-step explanation:
12+r=3
-12 -12
-------------
r=-9
Please help it’s urgent!!!
Answer:
do you still need help
Step-by-step explanation:
Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.
She needs to find the approximate surface area of the attic, including the walls, floor, and
ceiling. The attic is in the shape of a triangular prism. Linda draws the net and writes
the expression below to represent the surface area of the attic. Are Linda's net and
expression correct?
We have that Linda's net and expression incorrect
With the Expression of the surface area of attic
[tex]45(40+25+25)+1/2(40*15)[/tex]
Surface area is
[tex]X=4050+600\\\\X=4650ft^2[/tex]
So for the Question is Are Linda's net and expression correct?
The answer is No Because
Her expression for the triangles are incorrect
[tex]1/2(40*15)[/tex]
Instead of
[tex]1/2*40*(15)[/tex]
Hence
Linda's net and expression incorrect
For more information on this visit
https://brainly.com/question/23246712
Answer:is 5/4/37/2
Step-by-step explanation:
What is the quotient of 2/3 divided by 4
Answer:
Step-by-step explanation:
(2/3)/4=(2/3)*(4/1)=8/3=2 2/3
f(x) =2x squared - 5x - 3 g(x) = x squared + 6x - 1 what is h(x), if h(x) = g(x) - f(x)
Answer:
-2x^2 + x^2 +11x +2
Step-by-step explanation:
f(x) = 2x^2-5x -3
g(x) = x^2 + 6x -1
h(x) = g(x) - f(x)
x^2 + 6x -1 - 2x^2 +5x +3
-2x^2 + x^2 +11x +2
Sixteen degrees celsius is warmer than zero degrees celsius
Answer:
yes???
Step-by-step explanation:
16 celsius is warmer than 0 celsius by 16 degrees.0 is colder by 16 degrees.
T o T hope that helped...
Evaluate x^2 when x= -2
help!!
-2
-4
2
4
Peaches are on sale at $0.95 per pound. Mrs. Hinkle bought 3.45 pounds of peaches. How much did she pay for the peaches?
Answer:
$3.2775
Step-by-step explanation:
0.95 x 3.45 = 3.2775
Answer:
$3.27
Step-by-step explanation: