Read the Instructions please I will mark

Answer:

A

Step-by-step explanation:

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

Answer: 26

Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in

(4x+24)+ (3x-4)=90, then combine like with like.

7x+20=90

7x=70

x=10

Then let plug it in for angle B

(3(10)-4= 26

Answer:

x = 10°

∠B = 26°

Step-by-step explanation:

complementary means they add up to 90 degrees.

4x + 24 + 3x - 4 = 90°

combine like terms:

7x + 20 = 90°

7x = 70°

x = 10°

Answer:

Step-by-step explanation: a real one for the points

Answer:

c

Step-by-step explanation:

Answer:

48 is the geometric mean of 384 and 6

Answer:

b

Step-by-step explanation:

these are verticle angles so they will equal each other

3x=30

Answer:

B

Step-by-step explanation:

3x=30

Divide both sides by 3 and cancel the 3 on the left side.

x=10

Check by putting 10 for x

3(10)=30

30=30

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.

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:

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.

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

Answer:

The correct answer is c.

Step-by-step explanation:

x  represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion

P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%

P= 6.41÷458×100=1.4%

Answer:

(0, 3)

Step-by-step explanation:

(0, 3) is the following is the midpoint between (3, 2) and (-3, 4)

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

Answer:

20

Step-by-step explanation:

20 percent of 40 is 5

so 20 is d answer

Answer:27.1c

Step-by-step explanation:

18.6 + 8.5 =27.1

Answer:

27.1

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

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

Answer: Yes!

Step-by-step explanation:

Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.

Answer:

2/3

Step-by-step explanation:

2/3

divide by 8

Answer:

no

Step-by-step explanation:

Answer:

y=1/2x-7

your welcomee

Answer:

The height = 18 inches

Step-by-step explanation:

The volume = area of the base × height

Area of the base = 40.5 inches²

The volume = 729 inches³

729 = 40.5 × height

Height = 729 ÷ 40.5 = 18 inches

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.

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.

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

Answer:

9/p+6

Step-by-step explanation:

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]

Answer:

Let x = the number of pounds of oranges in the packet.

The equation: 11.20 = 1.25x + 4.95

11.20 = 1.25x+4.95

6.25 = 1.25x

x = 5

There are 5 pounds of oranges in the packet.

Let me know if this helps!