From a horizontal distance of 80 m, the angle of elevation to the top of a flagpole is 18 degree. Calculate the height of the flagpole to the nearest whole meter.

Hi there!

[tex]\large\boxed{\text{B. }23^o}[/tex]

According to a circle theorem:

m∠1 = 1/2(a - b) where a and b are angles.

Thus:

m∠1 = 1/2(94 - 48)

Simplify:

m∠1 = 1/2(46) = 23°. The answer is B.

Answer:

ESIUGSID

Step-by-step explanation:

ALIMONY

First and last letter swapped.

ALIMONY ==> Y_ _ _ _ _A

Then every two letters are reversed.

ALIMONY ==> Y I L _ _ _ A

ALIMONY ==> Y I L _ N O A

ALIMONY ==> Y I L M N O A

Same steps for DISGUISE

First and last letter swapped.

DISGUISE ==> E _ _ _ _ _ _ D

Then reverse every two letters.

DISGUISE ==> E S I U G S I D

Answer:

1520

Step-by-step explanation:

hope it is helpful

Answer:

c

Step-by-step explanation:

Answer:

D(h) = 55h - 2000

1670 m

Step-by-step explanation:

Given :

Starting elevation, D = - 2000 m (2000 m below sea level)

Rate, h = 55 m per hour.

The slope - intercept relation :

y = mx + c

m = slope = rate of change

c = intercept

In the scenario given :

-2000 = intercept

55 = rate of change

D(h) = 55h - 2000

After 6 hours :

D(6) = 55(6) - 2000

D(6) = - 1670 m

Answer:16

Step-by-step explanation:

i just need to the points sorry dude

Answer: $11.30 per pound

Step-by-step explanation:

William spent $110.74 to buy 9.8 pounds of candy.

To find the cost per candy, divide the amount spent by the quantity of candy:

=Amount spent on candy / Quantity of candy

= 110.74 / 9.8

= $11.30 per pound

Answer:

Step-by-step explanation:

100+2x+40=180(sum of interior angle of a triangle)

140+2x=180

2x=180-140

2x=40

x=40/2

x=20

Answer:

x=20

Step-by-step explanation:

the sum of the angles of a triangle is 180

so it means,

100+40+(2×)=180

140+(2×)=180

2×=180-140

2×=40

divide both sides by 2

x=20

to prove this substitute 20 inside see if the result is 180

40+100+(2×)=180

×=20

40+100+(2 (20))=180

140+40=180

140+40=180

Good luck.

Answer:

6 hours

we see it at the x value of 6 on the graph

Step-by-step explanation:

I graphed it too using desmos then located the point where they cross, the solution point, and it was at the x value of 6 and they will have made $50 by the way in case you wanted to know that too so we see that on the graph at the point (6,50) is where they make the same amount of money.

Answer:

12

Step-by-step explanation:

Because if you see clearly that is the only answer that makes the most sense!

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The equation is given below.

⇒ x⁴ + mx² + 64

Then the value of a, b, and c will be 1, m, and 64, respectively. Then the equation will be given as,

b² = 4ac

m² = 4 x 1 x 64

m² = 265

m² = 16²

m = 16

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

More about the perfect square trinomial link is given below.

brainly.com/question/16615974

#SPJ3

complete question:

For what value of m is the expression x4+mx2+64 a perfect square?

Answer:

Its 25.2

Step-by-step explanation:

14.4 + 10.8

If friend house is 10.8 miles north and 14.4 miles east of the bank then distance of person's house from bank is 18 miles.

Pythagoras theorem says that in a right angled triangle the square of hypotenuse is equal to the sum of squares of base and perpendicular of that triangle.

[tex]H^{2} =B^{2} +P^{2}[/tex] in which P is perpendicular, B is base, H is hypotenuse of triangle.

When we express person's house,his friend's house and bank on the surface then it will look like a right angled triangle.

H=[tex]\sqrt{B^{2} +P^{2}}[/tex]

=[tex]\sqrt{10.8^{2} +14.4^{2} }[/tex]

=[tex]\sqrt{324}[/tex]

=18 miles

Hence the distance of person's house from bank is 18 miles.

Learn more about pythagoras theorem at https://brainly.com/question/343682

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Question is wrong as the right question is that calculate the distance between person's house and bank.

Answer:

D seems most credible .

Hopefully this helped

Answer:

1/4

Step-by-step explanation:

We put 3 /12 which is 1/4 simplified

Glad I could help!!1

Answer:

Step-by-step explanation:

a  : 1,000

b : 350

Answer:

75+30+x+30+x+75=360

210+2x=360

2x=360-210

2x=150

x=150/2

x=75

Step-by-step explanation:

therefore x=75 degree

Step-by-step explanation:

.....................

Answer:

810

Step-by-step explanation:

[tex]V = l * w * h = 5 * 9 * 18 = 810\ cm^3[/tex]

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]

The graph would move f(x) five units up.

Hope this helps.

Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.

Step-by-step explanation:

Answer:

7 ft.

Step-by-step explanation:

210 / (5*6)

= 210/30

= 7 ft.

Answer: he should add 3

Step-by-step explanation: he should add 3 because then you have 4x=12 and that simplifies to x=3

Answer:

Step-by-step explanation:

This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:

[tex]\frac{miles}{hrs}:[/tex]

Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):

[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:

638x = 4466 so

x = 7 hrs

Answer:

9.2929

Step-by-step explanation:

Answer:

2r-3(r+7)-8r=10(r-1)

2r-3r-21-8r=10r-10

-9r-10r=-10+21

-19r=11

-19/11=r

Step-by-step explanation:

Answer:

11.18 or 11 yards

Step-by-step explanation:

15² - 10² = x²

225 - 100 = x

225 - 100 = 125

√125 = 11.180339887498948482045868343656

11.180339887498948482045868343656 rounded to the nearest hundredth is 11.18; to the nearest tenth is 11.2; and to the nearest one is 11.

Answer:

Step-by-step explanation:

17/20 x 2/3

Then 17/10 x 1/3 = 17/30

Answer: f(x)=3(2)^x (The second option)

Step-by-step explanation:

By plugging in x values from the chart into this equation, we can see it matches. For example, lets use x=3. 3*(2)^3 = 3*2*2*2 = 3*8 = 24. And 24 lines up with 3 on the chart. Solved!

Answer:

graph based on step by step

Step-by-step explanation:

Graph the x intercepts, when x=0 set x+1=0 and x-5=0 and you get x=5 and x=-1, these are the points when y=0. then you can foil them out and see the way the parabola is structured, then you see that the middle of the intercepts is x=2, plug that into the equation either in intercept form of standard (foiled) and find the maximum/minimum

Answer: Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.?

Step-by-step explanation:

Answer: The slope is 5

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

hope this helps!