Find the measure of the indicated angle to the nearest degree

A) 56°
C) 42°
B) 48°
D) 34°

161 feet lower

166 feet

a) Given the following parameters

Distance of checkpoint 3 above the sea = -197 feet

Distance of checkpoint 5 above the sea = -36 feet

Determine the distance between the checkpoints

Distance = checkpoint 5 - (checkpoint 3)

Distance = -36 - (-197)

Distance = -36 + 197

Distance = 161feet

Hence checkpoint 3 is 161 feet lower than checkpoint 5

b) If the top of the hill is 363feet above check point 3, the altitude of the top of the hill is given as:

Altitude = -197 + 363

Altitude = 166feet

Hence the altitude of the top of the hills is 166feet

Answer:

.12

Step-by-step explanation:

See if the number after the hundreths is greater than or 5, which in this case its not, so you will round it by keeping it the same

The taxable income for the single taxpayer with an AGI of $75,200 and using the standard deduction for 2022 is A. $50,100.

The taxable income is calculated by subtracting the standard deduction from the adjusted gross income (AGI). The standard deduction is a fixed amount that reduces the taxpayer's taxable income, and it varies based on the taxpayer's filing status.

For 2022, the standard deduction for a single taxpayer is $12,550. By subtracting this amount from the taxpayer's AGI of $75,200, we get the taxable income.

The standard deduction reduces the taxpayer's taxable income by a fixed amount. In this case, since the taxpayer is single, the standard deduction for 2022 is $12,550. To calculate the taxable income, we subtract the standard deduction from the taxpayer's AGI.

AGI - Standard Deduction = Taxable Income

$75,200 - $12,550 = $62,650

Therefore, the taxable income for the single taxpayer is $62,650.

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The specified details of the triangle, obtained using the segments joining the midpoints of the sides of the triangle ΔADG and trapezoid ACFG indicates that we get;

4. \(\overline{CE}\) is a midsegment of ΔBDF

\(\overline{BF}\) is the midsegment of trapezoid ACFG

5. CE = 12 cm, AG = 36 cm

6. m∠2 = 116°, m∠3 = 32°, m∠4 = 58°, m∠5 = 58°, m∠6 = 64°

The midpoint of a segment or the side of a triangle is a point that divides the segment into two parts of the same length.

4. The details of the diagram indicates that the segment \(\overline{CE}\) is the midsegment of triangle ΔBDF

\(\overline{BF}\) is the midsegment of trapezoid ACFG

5. \(\overline{CD}\) is congruent to \(\overline{BC}\) by the definition of the midpoint of \(\overline{BD}\), similarly;

\(\overline{BC}\) is congruent to \(\overline{AB}\), by the definition of midpoint of \(\overline{AC}\), therefore;

\(\overline{CE}\) is the midsegment of triangle ΔBDF, therefore;

CE = (1/2) × BF

CE = (1/2) × 24 cm = 12 cm

CE = 12 cm

ΔBDF and ΔADG and ΔCDE are similar triangles, therefore;

\(\overline{BD}\) = (2/3) × \(\overline{AD}\)

Similarly, by the relationship between similar triangles we get;

\(\overline{BF}\) = (2/3) × \(\overline{AG}\)

BF = 24 cm, therefore;

24 = (2/3) × AG

AG = (3/2) × 24 = 36

AG = 36 cm

6. The length of a median of a right triangle, drawn from the right angled vertex, is half the length of the hypotenuse side.

Therefore; ΔACM and ΔABM are an isosceles triangles

m∠1 = m∠3 = 32°

m∠2 = 180° - (32° + 32°) = 116°

m∠2 = 116°

m∠3 = 32°

m∠4 = m∠5 = 90° - m∠1

m∠4 = m∠5 = 90° - 32° = 58°

m∠4 = 58°

m∠5 = 58°

m∠6 = 180° - (m∠4 + m∠5)

m∠6 = 180° - (58° + 58°) = 64°

m∠6 = 64°

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Answer:

x=3

Step-by-step explanation:

Answer:

The value of x is probably 1

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

0.75

Step 02:

greater than:

greater than 0.75:

a) the population cannot be negative, the limiting population is 4300.

b)the population is increasing when 0 < p < 4300 and decreases when p > 4300.

c)the equilibrium solutions are p = 0 and p = 4300.

(a) To determine when the population is increasing or decreasing, we need to look at the sign of dp/dt.

\(\frac{dp}{dt} = 1.2p(1 - \frac{p}{4300})\)

For dp/dt to be positive (i.e. population is increasing),

we need\(1 - \frac{p}{4300} > 0, or \ p < 4300.\)

For dp/dt to be negative (i.e. population is decreasing),

we need\(1 - \frac{p}{4300} < 0, or p > 4300.\)

Therefore, the population is increasing when 0 < p < 4300 and decreases when p > 4300.

(b) To find the limiting population, we need to find the value of p as t approaches infinity.

As t approaches infinity,\(\frac{dp}{dt}\)approaches 0. Therefore, we can set \(\frac{dp}{dt}\) = 0 and solve for p.

0 = 1.2p(1 - p/4300)

Simplifying, we get:

0 = p(1 - p/4300)

So, either p = 0 or 1 - p/4300 = 0.

Solving for p, we get:

p = 0 or p = 4300.

Since the population cannot be negative, the limiting population is 4300.

(c) Equilibrium solutions occur when\(dp/dt = 0.\)We already found the equilibrium solutions in part (b): p = 0 and p = 4300.

Therefore, the equilibrium solutions are p = 0 and p = 4300.

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a)  The population is increasing when 0 < p < 4300, and  decreasing when p > 4300.

b)  The population cannot be negative, the limiting population is 4300.

c)  these are the equilibrium solutions.  At p = 0, the population is not

increasing or decreasing, and at p = 4300,  the population is decreasing

but not changing in size.

(a) To determine when the population is increasing or decreasing, we

need to find the sign of dp/dt. We have:

dp/dt = 1.2p(1 - p/4300)

This expression is positive when 1 - p/4300 > 0, i.e., when p < 4300, and

negative when 1 - p/4300 < 0, i.e., when p > 4300.

Therefore, the population is increasing when 0 < p < 4300, and

decreasing when p > 4300.

(b) To find the limiting population, we need to solve for p as t approaches infinity. To do this, we set dp/dt = 0 and solve for p:

1.2p(1 - p/4300) = 0

This equation has two solutions: p = 0 and p = 4300. Since the population cannot be negative, the limiting population is 4300.

(c) To find the equilibrium solutions, we need to solve for p when dp/dt = 0. We already found that the only solutions to dp/dt = 0 are p = 0 and

p = 4300.

Therefore, these are the equilibrium solutions.

At p = 0, the population is not increasing or decreasing, and at p = 4300,

the population is decreasing but not changing in size.

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Coterminal angles are those angles who both share same terminal sides.

Here. the Option C: 40°  + (360n)° for any whole number n is correct.

To find coterminal angle with a 400° angle.

Coterminal angles are those angles who both share same terminal sides.

Since terminal side can come at same place after one round forward, two round forward etc and one round backward, two round backward thus multiples of 360 or 0 can be added or subtracted.

A full round is of 360°.

If an angle is of \(\theta ^\circ\), then \(\text{Coterminal angles of\:} \theta^\circ = \theta^\circ \pm 360^\circ n; n \in \mathbb Z\)

Thus, we have:

Coterminal angles of 400 degrees = \(400 \pm 360n = 40+360 \pm 360n = 40 \pm 360(n+1); n+1 \in \mathbb Z\\or\\\text{Complementary angles of 400}^\circ = 40^\circ+360n^\circ; n \in \mathbb Z\)

Thus, the Option C: 40°  + (360n)° for any integer n is correct.

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Answer:

The answer to this is D $27,822.53

Step-by-step explanation:

Answer:

27,822.53

Step-by-step explanation:

Option A

your just multiplying the 2 to what's in parentheses

A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.

This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.

The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.

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Answer:

<4

Step-by-step explanation:

Answer:

896 cubic inches

Step-by-step explanation:

V (Δ prism) = 1/2 · height · base · length

V (top prism) = 1/2(6)(12)(14)

V (top prism) = 504 in³

V (bottom prism) = 1/2(7)(8)(14)

V (bottom prism) = 392 in³

504 + 392 = 896

Answer:

w = 16

Step-by-step explanation:

Divide -5 into -80 for a positive number as your answer.  Your answer should be 16 when you done it manually.

Answer: 16

Step-by-step explanation:

Divide -80 by -5 and then you get 16

Hope this helps :)

Answer:

a =  5 seconds and b = 50 inches c = No, because it starts at 50 inches and only goes down after that. This means it will never be at 120 inches.

Step-by-step explanation:

A. Solve it as a quadratic equation where h = 0 (because it will be 0 inches above the water).

0 = - 16t^2 + 70t + 50

0= -2(8t^2 - 35t -25)

0= -2(t - 5)(8t + 5)

Since the amount of time has to be positive, t - 5 = 0, so t = 5 seconds

B. Substitute t = 0 into the equation.

h = -16(0)^2 + 70(0) + 50

h = 0 + 0 + 50

h = 50 inches

C. It's diving, so it's only going down and won't reach 10 feet.

Answer:

x = 90, y = 43

Step-by-step explanation:

since AB = AC then Δ ABC is isosceles with the base angles being congruent , that is

∠ B = ∠ C = 47°

AD is the perpendicular bisector of BC , then x = 90°

the sum of the 3 angles in Δ ABD = 180° , so

y + x + ∠ B = 180

y + 90 + 47 = 180

y + 137 = 180 ( subtract 137 from both sides )

y = 43

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

84

Step-by-step explanation:

1. Set up Problem

2. Add form right to left

Answer:

Step-by-step explanation:

Answer:

ok

1 divide the area A÷ 3.1416

2 find the square root of the number for example 3×3=9 so the square root of 9 is 3

3 the results is you radio.

4 do this formula 2×3.1416× the number you got.

Given

The ordered pair (1, 4) is a solution to the equation x + y = 5 because 1 + 4 = 5 is a true statement. Which of the following ordered pairs is also a solution to the equation x + y = 5

Solution

The final answer

Answer:

y=3x-1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y=3x-1

have a nice day ! :)

Enhance your academic performance by formulating specific, attainable objectives.

This includes identifying a mark for every course, simplifying complex projects into feasible assignments, and devising a timetable that incorporates allocated intervals for homework, test review, and preparation.

Furthermore, seeking assistance from educators or tutors, remaining organized, and practicing sound time management techniques can all augment one's grades.

It must be emphasized, however, that measurable progress is the result of patience and diligence, but with unwavering dedication, anyone can surmount their scholastic aspirations.

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Answer:

8...

Step-by-step explanation:

Answer:

f(x)=(x+1)(x+2)(x+3)(x+4)+2019

f(x)=(x2+5x+4)(x2+5x+6)+2019

Suppose that y=x2+5x

Hence we have f(y)f(y)=(y+4)(y+6)+2019=y2+10y+24+2019=y2+10y+25+2018=(y+5)2+2018≥2018[∵(y+5)2≥0,∀y∈R]

and therefore…. min (f(x))=2018

ANSWER = 2018

Step-by-step explanation:

hope that helps >3

Answer:

2018

Step-by-step explanation:

By grouping the first, last and two middle terms, we get (\(x^{2}\)+5x+4)(\(x^{2}\)+5x+6) + 2019. This can then be simplified to (\(x^{2}\)+5x+2)^2 - 1 + 2019 Noting that squares are nonnegative, and verifying that \(x^{2}\) + 5x + 5 = 0 for some real x, the answer is 2018.

3x + 2y - 2z = 17

when x = 5, y = 2, and z = 1

Given

3x + 2y - 2z

For x = 5, y = 2 and z = 1, we have:

3(5) + 2(2) - 2(1)

= 15 + 4 - 2

= 17