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Answer:

im stuck between 20° and 19°. it sort of looks like its 20°. i would take a best educated guess of either 20 and 19. good luck!

Step-by-step explanation:

Answer:

Length of hypotenuse JH = 9.2 unit (Approx.)

Length of perpendicular JG = 6.5 unit

Step-by-step explanation:

Given:

Length of base GH = 6.5 unit

Angle of H = 45°

Find:

Length of perpendicular JG

Length of hypotenuse JH

Computation:

Using trigonometry function:

Tan θ = Perpendicular / Base

Tan 45 = Perpendicular / 6.5

1 = Perpendicular / 6.5

Perpendicular = 6.5

Length of perpendicular JG = 6.5 unit

hypotenuse = √perpendicular² + base²

Length of hypotenuse JH = √6.5² + 6.5²

Length of hypotenuse JH = √42.25 + 425.25

Length of hypotenuse JH = √84.5

Length of hypotenuse JH = 9.1923

Length of hypotenuse JH = 9.2 unit (Approx.)

Answer:

Robert will have $481 more in his account than Cooper.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

Similar to compound interest:

[tex]A(t) = P(1 + r)^t[/tex]

Cooper:

Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that [tex]P = 3100, r = 0.02, n = 4[/tex]

After 12 years is A(12). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(12) = 3100(1 + \frac{0.02}{4})^{4*12}[/tex]

[tex]A(12) = 3938.5[/tex]

Cooper will have $3938.5 in his account.

Robert:

Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So [tex]P = 3100, r = 0.03[/tex].

After 12 years.

[tex]A(t) = P(1 + r)^t[/tex]

[tex]A(12) = 3100(1 + 0.03)^{12}[/tex]

[tex]A(12) = 4419.9[/tex]

Robert will have $4419.9 in his account.

How much more money would Robert have in his account than Cooper, to the nearest dollar?

4419.9 - 3938.5 = 481.4

To the nearest dollar, Robert will have $481 more in his account than Cooper.

Answer:

the letter f isn't stated at all so f is a good choice

Step-by-step explanation:

Answer:

I would say C

Step-by-step explanation:

BUT I am not COMPLETELY sure so please tell me if I am wrong

Answer:

Since he hasn't read 70% of the book which is 35 pages, we need to know that 70% of what number is 35.

This is called a is over of, percent over 100 proportion.

If we place 70 over 100 and set that equal 35 over x we can cross multiply and divide to find the answer.

35 times 100 = 3,500

3,500 ÷ 70 = 50

Step-by-step explanation:

Answer:

398.71 ft

Step-by-step explanation:

Length of rebar = 18 inches  = 1.5 ft

Elevation  = 393.66 ft

Reading of backsight on Benchmark= 7.56 ft

Rod reading = 1.10 ft

First step : determine height of Instrument been used

= elevation + backsight on Benchmark

= 393.66 + 7.56 = 401.22 ft

Elevation of top of rebar

= 401.22  - 1.01  = 400.21 ft

Finally determine the elevation of the top of the pipe

= 400.21 - length of Bar

= 400.21 - 1.5 = 398.71 ft

Answer:

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Answer: 3, 3, y = 3

Step-by-step explanation: EDGE2022

Answer:

The 90% confidence interval for the difference of the population means is approximately (-17.98, -2.02).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Boys:

Mean of 75, sample of 45, standard deviation of 25.

This means that [tex]\mu_B = 75, s_B = \frac{25}{\sqrt{45}}[/tex]

Girls:

Mean of 85, sample of 30, standard deviation of 17.

This means that [tex]\mu_G = 85, s_G = \frac{17}{\sqrt{30}}[/tex]

Distribution of the difference of mean grades of boys and girls:

[tex]\mu = \mu_B - \mu_G = 75 - 85 = -10[/tex]

[tex]s = \sqrt{s_B^2+s_G^2} = \sqrt{(\frac{25}{\sqrt{45}})^2+(\frac{17}{\sqrt{30}})^2} = 4.85[/tex]

Confidence interval:

As stated, the critical value is [tex]z = 1.645[/tex]

The margin of error is of:

[tex]M = zs = 1.645*4.85 = 7.98[/tex]

Lower bound:

[tex]\mu - M = -10 - 7.98 = -17.98[/tex]

Upper bound:

[tex]\mu + M = -10 + 7.98 = -2.02[/tex]

The 90% confidence interval for the difference of the population means is approximately (-17.98, -2.02).

Answer:

29

Step-by-step explanation:

f(3)=3f(2)-f(1)=3x4-1=11

f(4)=3f(3)-f(2)=3x11-4=29

Answer:

1) 81.67 cm² (Option A)

2) 28.26 m² (Option B)

3) 153.86 mi.² (Option D)

4) 329.90 m² (Option A)

5) 63.585 ft.² (Option C)

Step-by-step explanation:

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

Diameter of a circle with radius 'r' = 2r

Area of a circle with radius 'r' = πr²

SOLUTION :-

1) Diameter of the dinner plate = 10.2 cm

Radius of the dinner plate = 10.2/2 = 5.1 cm

⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²

2) Length of his leash = 3m

⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²

3) Radius of the circular range of storm = 7 mi.

⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²

4) Diameter of carousel = 20.5 m

Radius of carousel = 20.5/2 = 10.25 m

⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²

5) Radius of the range of sprinkler = 4.5 ft.

⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²

Answer:

B. 1

Step-by-step explanation:

I calculated it logically

Answer:

B. -1

Step-by-step explanation:

I calculated it logically

Answer:

32

Step-by-step explanation:

Remember angles in a triangle add up to equal 180 degrees

This means that x + 126 + 22 must equal 180

126 + 22 = 148

x + 148 = 180

subtract 148 from each side

148 - 148 cancels out

180 - 148 = 32

we're left with x = 32

Answer:

32 is the answer of above questions.

Answer:

1124

Step-by-step explanation:

<2 = 35° because they form an S angle. S angles are alternating angles

Answer:

25 g

Step-by-step explanation:

0.1 kg can be written as 100 grams

& 75 g

while 1 kg is 1000 grams

so difference:-

(100- 75 ) grams

= 25 g

The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.

Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:

0.1 kg = 0.1 * 1000 g = 100 g

Now, the two quantities are in the same unit:

0.1 kg - 75 g = 100 g - 75 g = 25 g

So, the difference between 0.1 kg and 75 g is 25 grams.

To know more about difference:

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Answer:

1/10

Step-by-step explanation:

because if you share/divide 1/5 by 5 then every dog will get 1/10

Answer:

Step-by-step explanation:

²³

Answer:

V = 75 π cm3

Step-by-step explanation:

Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y

Step-by-step explanation:

took the test