1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees

Answer:

72 units^2

Step-by-step explanation:

Answer:

[tex]Measure \: of \: angle \: z = \boxed{ \tt{ 19.5\degree}}[/tex]

Answer:

24

Step-by-step explanation:

we'll use the pythagoras theorm, but change it a little

instead of a² + b² = c², we'll use c² - a² = b²

26² - 10² = 576

the square root of 576 is 24, and that's the answer :)

Answer:

Step-by-step explanation:

The sales will double on the 6th day of the month

The equation sales for last month = 4(day of the month) + 16

let

x = day of the month

The day of the month could be 1, 2, 3, 4, 5, 6, 7, 8...…31. The numbers represents the first, second, third ,...… thirty first day.

Sales = 4x + 16

From the equation, on the first day his sales  will be :

sales = 4(1) + 16 = 20 units

The double of 20 units is 40 units. Therefore, the day of the month which the sales will double can be calculated below

40 = 4x + 16

40 - 16 = 4x

4x = 24

x = 24 / 4

x = 6

it will double on the 6th day.

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Answer:

∠ABC = 63.26°

Step-by-step explanation:

cos ∠ABC = (9/2)/10

cos ∠ABC = 0.45

∠ABC = 63.26°

Answer:

Area of a rectangle =  l × w

=  1.4 × 2.1

=  2.94 meters ^2

hope it helps. sorry if its wrong. this is my own knowledge

Answer:

C'(-3, -3)

D'(-2, 1)

E'(-1, 0)

F'(2, -2)

Step-by-step explanation:

Add 2 to the x coordinates and subtract 2 from the y coordinates.

C'(-5+2, -1-2)

D'(-4+2, 3-2)

E'(-3+2, 2-2)

F'(-2+2, 0-2)

C'(-3,-3)

D'(-2,1)

E'(-1,0)

F'(2,-2)

Answer:

3(3×2x + 0)(3x²+2)² = 18x(3x²+2)²

Answer:

Step-by-step explanation:

Triangle 1   given:  100° , 17 yds,  30 yds

Triangle 2 given: 30 ,17,18

law of cosines: c^2 = a^2 + b^2 − 2ab cos(C)

we'll also  need the formula for a SSS triangle

Cos(C) = a^2 + b^2 - c^2 / 2ab

keeping the above in mind we can now solve both triangles

c = AC for the first triangle

solve law of cosines for what we know

c^2= 17^2 + 30^2 - 2*17*30*Cos(100)

c = 36.96

now use SSS triangle  formula to find the angle C, but c = 17 now , not 36.96, that's b

C = arcCos(17^2+36.96^2-30^2/ 2*17*36.96)

C = 42.24°

now use 180 = 100 +42.24 +A   to solve the last angle

A= 37.75°

Triangle 1 solved

A= 37.75°

B= 100

C = 42.24°

a= 17

b=30

c=36.96

Triangle 2  

given a=17 , b= 18 , c =30

use SSS formula to find one angle, which ever one you want in this case

Cos(C) = a^2 + b^2 - c^2 / 2ab

C = arcCos(17^2+18^2-30^2 / 2*17*18

C= 117.966°

solve for A now

Cos(A) =b^2+c^2-a^2 / 2bc

A = arcCos(18^2+30^2-17^2/2*18*30)

A = 30.03

use 180 again to solve for last angle

180 = 117.966+30.03+B

32.001 = B

Triangle 2 solved

A = 30.03°

B= 32.001°

C= 117.966°

a=17

b=18

c=30

:P  whew  

Answer:

{20, 0}.

Step-by-step explanation:

Answer:

If a gallon of gas costs $2.9

The Prius can drive 50 miles with one gallon.

then for m miles, it needs:

(m/50) gallons.

and each gallon costs $2.9

Then for driving m miles, the cost would be:

(m/50)*$2.9

Then the total cost of buying the Prius and driving for m miles is:

P(m) = $25,000 + (m/50)*$2.9

We can do a similar approach for the Accord's case.

The Accord can drive 31 miles with one gallon.

Then if it drives m miles, it will need:

(m/31) gallons.

And knowing that each gallon costs $2.9, the cost for driving m miles is:

(m/31)*$2.9

Then the total cost of buying an Accord and driving for m miles is:

A(m) = $22,000 + (m/31)*$2.9

We want to find the value of m, such that the cost of the Prius is smaller than the cost of the Accord.

Then the first thing we need to find is the value of m such that the costs are equal:

P(m) = A(m)

$25,000 + (m/50)*$2.9 = $22,000 + (m/31)*$2.9

$25,000 - $22,000 = (m/31)*$2.9 -  (m/50)*$2.9

$3,000 = m*$2.9*(1/31 - 1/50)

$3,000/($2.9*(1/31 - 1/50)) = m = 84,392

This means that if you drive more than 84,392 miles, then the cost of the Prius will be smaller.

I

Answer:

The answer is 13.

Step-by-step explanation:

(b) Find the value of 2a + b: Remember that 2a means 2 × a. Replacing a by 4 and b by 7 gives 2×4 + 7.

Two possible values for 2a - b are 4i√2 and -4i√2, where 'i' is the imaginary unit.

To find the value of 2a - b, we need to eliminate 'b' from the two equations given.

Given equations:

1. 2a + b = 4

2. ab = -3

Let's solve for 'a' and 'b' using these equations.

Step 1: Solve for 'b' in terms of 'a' from equation (1).

2a + b = 4

b = 4 - 2a

Step 2: Substitute the value of 'b' from step 1 into equation (2).

a(4 - 2a) = -3

[tex]4a - 2a^2 = -3[/tex]

Step 3: Rearrange the equation to a quadratic form:

[tex]2a^2 - 4a + 3 = 0[/tex]

Step 4: Solve the quadratic equation for 'a'. You can use the quadratic formula:

a = [ -(-4) ± √([tex](-4)^2[/tex] - 4*2*3) ] / (2*2)

a = [ 4 ± √(16 - 24) ] / 4

a = [ 4 ± √(-8) ] / 4

a = [ 4 ± 2i√2 ] / 4

a = 1 ± i√2

Now we have two possible values for 'a': a = 1 + i√2 and a = 1 - i√2, where 'i' is the imaginary unit (√(-1)).

Step 5: Find the corresponding values of 'b' using the equation b = 4 - 2a.

For a = 1 + i√2:

b = 4 - 2(1 + i√2) = 4 - 2 - 2i√2 = 2 - 2i√2

For a = 1 - i√2:

b = 4 - 2(1 - i√2) = 4 - 2 + 2i√2 = 2 + 2i√2

Now we have two sets of values for 'a' and 'b':

1. a = 1 + i√2, b = 2 - 2i√2

2. a = 1 - i√2, b = 2 + 2i√2

Step 6: Calculate the value of 2a - b for each set of values:

For a = 1 + i√2, b = 2 - 2i√2:

2a - b = 2(1 + i√2) - (2 - 2i√2)

        = 2 + 2i√2 - 2 + 2i√2

        = 4i√2

For a = 1 - i√2, b = 2 + 2i√2:

2a - b = 2(1 - i√2) - (2 + 2i√2)

        = 2 - 2i√2 - 2 - 2i√2

        = -4i√2

So, the two possible values for 2a - b are 4i√2 and -4i√2, where 'i' is the imaginary unit.

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Complete Question:

If 2a + b = 4 and ab = -3, what is the value of 2a - b

Answer:

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Step-by-step explanation:

When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.

What value will be used as the point estimate for the mean endowment of all private colleges in the United States?

We have to find the mean of the 8 colleges. So

[tex]M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975[/tex]

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Answer:

22% or 22/100 which is 11/50

Step-by-step explanation:

6,900 times is the answer,also can i get brainliest

Answer:

94 / π = 29.9211293...

Step-by-step explanation:

brainliest plz

Answer:

x=2

Step-by-step explanation:

The true solution to the equation  3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3log2 + log 8 = 2 log(4x)

We have to calculate the value of x

We know that,  x logb=log bˣ

and loga + logb = logab

The equation is 3log2 + log 8 = 2 log(4x)

log 8+ log 8= log 16x²

log64/log 16=x²

4=x²

Take square root on both sides

x=2

Hence, the true solution to the equation  3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.

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The total assessed value of Ms. Manalo's property was $5,00,000

The total property tax rate was 1.7%

Ms. Manalo paid a total of $8,500 to her local government as a property tax in 2018.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Ms. Manalo is reviewing her 2018 property taxes.

Now, We get by given data;

The total assessed value of Ms. Manalo's property was,

⇒ $84,785 + $415,215

⇒ $5,00,000

And, The total property tax rate was ,

0.8% + 0.5% + 0.2% + 0.1% + 0.1%

1.7%

And, Ms. Manalo paid a total to her local government as a property tax in 2018 is,

1.7% of 5,00,000

1.7/100 x 5,00,000

8,500

So, The total assessed value of Ms. Manalo's property was $5,00,000

The total property tax rate was 1.7%

Ms. Manalo paid a total of $8,500 to her local government as a property tax in 2018.

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Answer:

24.5

Step-by-step explanation:

7^2=49

49/2=24.5

Answer:

a-b/c

or

0.6-0.2/.5

0.6-0.4

0.2

Answer:

0.2287

Step-by-step explanation:

The computation of the probability that the automated manufacturing system runs for more than 18 hours without a failure is shown below:

P(X > 17) = 1 - P(X < 17)

= 1 - [1 - e^-18 ÷ 12.2]]

= 1 - [1 -0.228684984 ]

= 0.2287

Answer:

la verdad que depende de la situación

Answer:

1100

Step-by-step explanation:

Rounded to nearest hundred

Here we will tell you what 1058 is rounded to the nearest hundred and also show you what rules we used to get to the answer.

Remember, we did not necessarily round up or down, but to the hundred that is nearest to 1058.

First, 1058 rounded to the nearest hundred is:

1100

When rounding to the nearest hundred, like we did with 1058 above, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³