125% of what number is 20

Answer:

cos A = \(\frac{35}{37}\)

Step-by-step explanation:

cos A = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{35}{37}\)

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer:

A.  4

Step-by-step explanation:

Given inequality:

\(x+9 < 4x\)

Rearrange the inequality to isolate x.

Subtract x from both sides of the inequality:

\(\begin{aligned}x+9-x & < 4x-x\\9& < 3x\end{aligned}\)

Divide both sides of the inequality by 3:

\(\begin{aligned}\dfrac{9}{3}& < \dfrac{3x}{3}\\\\3& < x\\\\x& > 3\end{aligned}\)

So the values of x that make the inequality true are:

Therefore, from the given answer options, the value of x that makes the inequality true is x = 4.

To check this, substitute x = 4 into the inequality:

\(\begin{aligned}x+9& < 4x\\x=4\implies 4+9& < 4(4)\\13& < 16\end{aligned}\)

As 13 is less than 16, the inequality is true when x = 4.

The documentation, registration and other cost of the fees show that the original car is A. 2004 Intrepid.

It should be noted that a documentation fee simply means a fee that's charged to process the paperwork of a vehicle.

In this case, the registration and documentation fees show that the appropriate car will be a 2004 Intrepid.

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Answer:

2.5, which would be 2:30 hours

Step-by-step explanation:

time/distance:

22.5/9 = 2.5

9 x 2.5 = 22.5

so the answer is 2.5

Answer:

2.5 hours

Step-by-step explanation:

\(\sf time \ taken = \dfrac{distance}{speed}\)

Here:

\(\hookrightarrow \sf \dfrac{22.5}{9}\)

\(\hookrightarrow \sf 2.5\)

The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

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Answer:

.20x = 72, so x = 360

.30(360) = 108

Answer:

(a) 512 ft² , (b) 720 ft²

Step-by-step explanation:

the area of a rectangle is calculated as

area = length × width

(a)

area of pool = 32 × 16 = 512 ft²

(b)

the area of the deck is calculated as

area of outer rectangle - area of pool

area of outer rectangle = 44 × 28 = 1232 ft²

area of deck = 1232 - 512 = 720 ft²

Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.

A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.

Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.

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Complete question

How can polygons be considered a subcategory of two-dimensional figures?

Answer:

152

Step-by-step explanation:

you will multiply 3and 5 each three times.

3*3*3=27

5*5*5=125

27+125=152

Answer:

\(3 x + 6 = 9 \\ \\ 3x = 9 - 6 \\ \\ 3x = 3 \\ \\ x = \frac{3}{3} \\ \\ x = 1\)

Answer:1

Step-by-step explanation:

3x + 6 = 9

<=> 3x = 9 - 6

<=> 3x = 3

<=> x =  3 : 3

<=> x =1

To calculate the average speed of the lap record, we need to know the distance covered and the time taken.

Distance = 5.303 km

Time = 1 minute and 24 seconds = 84 seconds

To convert seconds to hours, we divide by 3600 (the number of seconds in an hour):

\( \frac{84 \: seconds \:}{3600} = 0.02333 \: hours\)

Now we can calculate the average speed:

\(Average \: speed = \frac{d}{t} = \frac{5.303km}{0.02333} \)

Average speed = 227.59 km/h

Let's say we had a sample of 100 people. We'll split them into two equal groups of 50 each. The two groups will be the treatment and control groups. The treatment group, aka experimental group, is where the actual drug is given. The control group is where the fake drug is given. People in the control group must not know the pill is fake. For more info, check out the placebo effect. In short, this is when a person takes a fake pill and thinks they get better, and that positive mentality helps them actually get better.  

If both the treatment and control groups improve (on average) together, then that means the fake pill is just as good as the real thing. Consequently, it means the real pill isn't effective at all. If on the other hand the experimental group does better overall compared to the control group, then we can see that the real pill is doing what it's intended to do. Of course, there are a lot of complicated factors involved, as there is with anything dealing with medicine. I haven't mentioned anything about side effects or things of that nature. In this simplified viewpoint of the world, we're only considering the one factor of whether or not the drug clears up the psoriasis on the skin.

To make things fair, it's best to randomly generate numbers so that you randomly assign people into each group. That way you have representative samples. Also, when drawing the sample of 100 people, make sure that's as random as possible to help represent the population as best as possible. The fact that the people in the control group not knowing that they are taking the fake pill means we have a single blind experiment. A double blind experiment is when even the researchers are not sure who is taking the real pill vs the fake pill. Double blind experiments are encouraged to prevent the researcher's bias from affecting the results.

To keep participants from knowing whether or not they are in the control group, the common solution is to provide a sugar pill. The pill will not cause any side effects and will not cause any improvements to health. It's simply sugar. To the participant, it seems like the real thing since they can't taste the difference or detect anything seems different.

Answer:

Randomly select a sample of people with psoriasis. Randomly assign them to one of two groups. Give one group the​ treatment, and withhold it from the other group. Give both groups similar looking​ pills, so neither knows which group they are in.

Given the following:

a)

b) The critical value is -1.645

Also

c) Conclusion:

We fail to reject the test, since there is no enough evidence to conclude that the proportion of wrong tests is less than 10%

Answer:

$14.6

Step-by-step explanation: because adding how all they are in total.

Answer:

B, C, D, A

Step-by-step explanation:

A -- 2.47 = 2.47

B -- 12/15 = 0.8

C -- √3 = 1.732050808

D -- 2 = 2

Ans: 12/15, √3, 2, 2.47

**Hope this helps!

The length of the hypotenuse in this problem is given as follows:

h = 10.6 m.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

The side lengths for this problem are given as follows:

7m and 8m.

Hence the hypotenuse is obtained as follows:

h² = 7² + 8²

\(h = \sqrt{7^2 + 8^2}\)

h = 10.6 m.

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(x - 4y) / w = 9

Multiply both sides by w

x - 4y = 9w

Add 4y to both sides

x = 9w + 4y

The formula that defines the sequence is f(n) = f(n-1) + 4

The recursive function rule is expressed as;

f(n) = f(n-1)  + d

where

d is the common difference

Given the following sequence

2, 6, 10, 14, 18..

Determine the common difference

d = 6-2 = 10-6

d = 4

Substitute to have

f(n) = f(n-1)  + d

f(n) = f(n-1) + 4

Hence the formula that defines the sequence is f(n) = f(n-1) + 4

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Answer:

Below in bold.

Step-by-step explanation:

There are no common factors in the first 2 other than 1 so their GCF is 1:-

a) 1

b) 1

c)  80 = 2*2*2*2*5

    100 = 2*2*5*5

So looking for duplicate factors, the GCF = 2*2*5

= 20.

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Answer:

D: the wiring and the other

Step-by-step explanation:

Answer:

The liquid and the medal

Step-by-step explanation: "So the electrons start to move from one metal to the other through the liquid. This creates current" This is why i would check the liquid and the medal. if the experiemnt doesnt work then there must be something wrong with the current

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

Linear pair

Step-by-step explanation:

<1 and <2 lie on a straight line.

Angles that lie on a straight line are considered as linear pair angles.

Linear pair angles sum up to 180°, which is the measure of a straight line angle.

The amount that the taxpayer is owing in taxes is $2,691.05.

We have,

Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.

Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.

The tax payable will equals to:

= 15%*$11,757 + $927.50

= $1,763.55 + $927.50

= $2,691.05

Hence, The amount that the taxpayer is owing in taxes is $2,691.05.

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complete question:

Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

Answer:

The measurement of the angle is 74.65

Step-by-step explanation:

We have the adjacent and hypoteneuse; the trig function will be cosine

\(cos^{-1}(\frac{9}{34})\\\\=74.650\)

Answer:

75°

Step-by-step explanation:

cos x = \(\frac{9}{34}\)

cos x = 0.2647

cos\(^{-1}\) ≈ 74.65

Answer:

9/0

Step-by-step explanation: