Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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A toy train set includes a train station building which is a scale model of a real building. The area of
the front side of the toy building is 1 square foot. The real building's front side has an area of 400
square feet. If we view the real building as a dilation of the toy, what is the scale factor?
Your answer
Answer:
[tex]20[/tex]
Step-by-step explanation:
The area of the front side of the toy model is [tex]1\ \text{ft}^2[/tex]
The area of the real building's front side is [tex]400\ \text{ft}^2[/tex]
So
[tex]1\ \text{ft}^2[/tex] of the toy model is equivalent to [tex]400\ \text{ft}^2[/tex] of the real building.
Area scale factor is given by [tex]k^2[/tex], where [tex]k[/tex] is the scale factor of the sides.
So,
[tex]\dfrac{400}{1}=k^2\\\Rightarrow k=\sqrt{400}\\\Rightarrow k=20[/tex]
Hence, the scale factor is [tex]20[/tex].
The scale factor should be 20.
Important information:The area of the front side of the toy building is 1 square foot. The real building's front side has an area of 400 square feet.
Calculation of the scale factor:Since 1 square foot should be equal to 400 square feet
So,
[tex]400\div 1 = k^2[/tex]
[tex]K = \sqrt{400}[/tex]
k = 20
Learn more about the scale factor here: https://brainly.com/question/23908178
pls help pls, i need this pls help
Answer:
Step-by-step explanation: a real one for the points
Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
Which rule describes the translation?
O (x, y) = (x – 8, y - 3)
O (x, y) - (x - 3, y+8)
O (x, y) = (x + 8, y-3)
O (x, y) - (x + 3, y + 8)
Answer:
c
Step-by-step explanation:
translations assignment
Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP
Answer:
it's just 8/20 so shade 8/20 of the circle
Sales per Day 0 1 2 3 4 8 9 10 11 12 5 6 7 Number of Sales The box plot above summarizes the number of sales that Lee makes each day over the past 10 days. How many sales did Lee make on his 3rd-highest day?
Answer:
8
Step-by-step explanation:
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
Please solve -6+7x=50
Answer:
x = 8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6+7x=50
Step 1: Simplify both sides of the equation.
7x−6=50
Step 2: Add 6 to both sides.
7x−6+6=50+6
7x=56
Step 3: Divide both sides by 7.
7x/7 = 56/7
x=8
have a wonderful day
I really need help with this so plz give a good answer
Mrs. Bush has a carpet remnant left from putting carpet down in her living room.
The carpet remnant was 4 1/8 square units. If the remnant was 3/4 units wide,
what was the length? *
Answer: The length = [tex]5\dfrac12[/tex] units
Step-by-step explanation:
Given: Area of carpet = [tex]4\dfarc18 \text{ sq. units}=\dfrac{33}{8}\text{ sq. units}[/tex]
Width of carpet = [tex]\dfrac34[/tex] units
Shape of carpet = Rectangle
Area of rectangle = length x width
So,
length = [tex]\dfrac{Area}{width}[/tex]
[tex]=\dfrac{\dfrac{33}{8}}{\dfrac34}\\\\=\dfrac{33}{8}\times\dfrac43\\\\=\dfrac{11}{2}\\\\=5\dfrac12\text{ units}[/tex]
Hence, the length = [tex]5\dfrac12[/tex] units
Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in order from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35
Answer:
5/6, 7
Step-by-step explanation:
Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?
exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times
Answer:
roughly 20 times
Step-by-step explanation:
2/6 = 1/3 is the probability he will roll a 3 or a 6
1/3 * 60 = 20.
It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.
During a flu vaccine shortage in the United States, it was believed that 45 percent of vaccine-eligible people received flu vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. Construct a 99 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine. Use your confidence interval to comment on the belief that 45 percent of the vaccine-eligible people had received flu vaccine. Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 99 percent confidence interval for the proportion of people who will have received flu vaccine is to be constructed. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.02
Answer:
Answer:
Part A: 99% CI is given by : (0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Step-by-step explanation:
Part A:
The test statistic p^ ±z sqrt (p`q`/n) will be used because
It is a random sample and both np^≥10 also nq^≥10 so the large sample interval procedure is used.
Here
p= proportion of vaccine- eligible people who received flu vaccine
Sample size= n= 2350
Sample success= p^=978/2350= 0.4161
Sample failure= q^= 1-p`= 1- 0.4161= 0.5838
For 99% CI the z- value is 2.576
Using the test static
p^ ±z sqrt (p^q^/n)
0.4161± 2.576 sqrt( 0.4161*0.5838/2350)
0.4161± 2.576 * 0.010167
0.4161± 0.02619
(0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
z* sqrt ( p^q^/n) ≤ 0.02
sqrt ( p^q^/n) ≤ 0.02/z
Taking square of both sides
( p^q^/n) ≤ [0.02/z]²
Reciprocating both sides
n/p^q^ ≥[ z/ 0.02]²
n≥[ z/ 0.02]²p^q^
n≥ z²p^q^/[ 0.02]²
Putting the values
n ≥(2.576)² (0.5)(0.5)/ 0.2²
n≥ [2.576 /2 (0.02) ]²
n≥4,147.36
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Find the vertex and focus of the parabola.
y^2 - 12y + 4x + 4 = 0
Answer:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
Quadrilateral GHJK is a rectangle.
Find the measure of angle 1, given that the measure of angle 4 is 54°. *
(1 Point)
54°
46°
126°
134°
Answer:
126 degrees
Step-by-step explanation:
The sum of adjacent side of the rectangle is 180 degrees
Hence <1 + <4 = 180 degrees
Given
<4 = 54 degrees
<1 = 180 - <4
<1 = 180 - 54
<1 = 126degrees
Hence the value of <1 is 126 degrees
These are all factors of coastal erosion. (5 Points) Hurricanes Sinkholes Human Impact Glaciers
Answer:
Hurricanes, Sinkholes, Humans Impact, and Glaciers are contributory agents to the issues of coastal erosion.
Explanation
1) Hurricanes:
Sea levels can be rapidly elevated during a storm surge caused by hurricanes and extratropical storms. These spike in sea levels are directly related to severe erosion of shorelines which is estimated to cost about 3-5 billion US dollars annually.
2) Sinkholes:
in 2013, about 328 feet of the beach collapsed in Candelaria, Zambales over a weekend creating an unsafe environment for residents and tourists. Their scientists suspected that it was due to a sinkhole. The collapse had deepened the shoreline by at least 1 meter.
3) Human Impact:
Sand mining from riverbeds and beaches, erection and construction of structures in coastal areas (like seawalls, jetties, breakwaters, etc), land reclamation along coastal fronts are all causes of coastal erosion.
In 2018, India reported massive erosion to its coastline. At that time, she had lost a whopping 33% of her shoreline over a space of 26 years. This is an average of 1.3% annually. Much of this loss was attributed to the increasing number of construction activities in such areas, damming of rivers (which prevented the rivers from carrying sediments to its coast which creates a balance), sand mining, and destruction of mangroves, etc.
4) Glaciers:
A Glacier is a moving body or river of ice that moves relatively slowly. It is formed by the gradual accumulation of compacted snow on mountains or near the poles. Glaciers have been known to move as fast as 30 meters per day. They can also be as slow as 0.5 meters per year. On average, you probably will record 25 centimeters of daily movement.
Combined with its gradual motion, the weight of a glacier could dramatically transform the terrain over a period spanning hundreds or even thousands of years. The weight of a glacier is very crushing. It is estimated at about 2 thousand tonnes.
As this huge weathering machine moves over land surfaces, expanding and contracting with weather fluctuations, the rocks underneath are disintegrated systematically into soil and shipped far from their points of origin.
The ice erodes the land surface and carries the broken rocks and soil debris far from their original places, resulting in some interesting glacial landforms.
Moving glaciers rip out of basins and create mountain valleys with sloping cliffs. Interesting historical examples of what Glaciers can do can be found in Scandinavia where it created fjords and deep inlets along its coast. It is also interesting to note that the shape of Cape Cod which looks like a fishhook was carved by the snout of a glacier.
Cheers
Answer:
sinkholes and coastal erosion EDGE2021
Step-by-step explanation:
10
Which of the following is the midpoint between (3, 2) and (-3, 4)?
(0, 3)
(0, 3/2)
(6, 3/2)
(-6, 3)
Answer:
(0, 3)
Step-by-step explanation:
(0, 3) is the following is the midpoint between (3, 2) and (-3, 4)
16/24 in simpelist form?
Answer:
2/3
Step-by-step explanation:
2/3
divide by 8
Name the integers from the list below.
2 , -4,0, 32, 5.31, V70, V7,31, 1.3636636663...
Answer:
The first 4
Step-by-step explanation:
any that are whole numbers
for the figure below, give the following
Answer:
(a) <1 & <6 (b) <5 & <6 (c) 7 & <3
Step-by-step explanation:
Vertical angles are angle that make an X
Linear pair angles are next to each other
Supplementary angles are angles that form a straight line
Answer:
a) 1 and 6 , 3 and 8, 7 and 4, or 2 and 5
b) 5 and 6
c) 1 and 5
Step-by-step explanation:
Describe how the volume of a triangular prism and a triangular pyramid with the same dimensions are related.
Answer:
The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.
Hope this helps!! ;)
volume of the prism is three times the volume of the pyramid with the same dimensions.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Volume of a triangular prism = area of base triangle × length of the prism
The volume of a triangular pyramid = (1/3) × Base Area × Height
The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.
Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.
To learn more about the volume visit:
https://brainly.com/question/13338592.
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A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:
a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.
Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced
Step-by-step explanation:
W = Set of projects the guitarist wrote
P = Set of products he produced
A bass guitarist worked on 15 music projects last year.
Universal set = 15
He wrote and produced 5 projects.
W ∩ P = 5
He wrote a total of 9 projects.
W = 9
The Venn Diagram is given in the attached image.
a. How many projects he wrote but did not produce (W - P)?
W - P = W - W ∩ P
W - P = 9 - 5 = 4
He wrote 4 projects but did not produce them.
b. How many projects he produced but did not write (P - W)?
Universal set = (W - P) + (P - W) + W ∩ P
15 = 4 + (P - W) + 5
(P - W) = 15 - 9 = 6
He produced 6 projects but did not write them
What is the area of the composite figure?
Hello! :)
[tex]\large\boxed{A = 32.5cm^{2}}[/tex]
We can use the following area to solve for the area of the trapezoid pictured:
[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]
Where:
h = height
b1 = bottom base
b2 = top base
Plug in the given values:
[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]
Simplify:
[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]
geometric mean of 384 and 6
Answer:
48 is the geometric mean of 384 and 6
What breaks 40 into 5 equal pieces?
a) 1/2
b) 2/10
c) 2%
d)20%
Answer:
20
Step-by-step explanation:
20 percent of 40 is 5
so 20 is d answer
You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent
Answer:
the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Step-by-step explanation:
As given , RST and angle TUR are right angles.
So the triangles are right angle triangles.
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
6 more than a quotient of nine and a number p
Answer:
9/p+6
Step-by-step explanation:
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?