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2 years ago

12

A telephone booth that is 8 ft tall casts a shadow that is 4ft long. Find the height of a lawn ornanment that casts a 2 ft shado

w.

1 answer:

sukhopar [10]2 years ago

5 0

8 ft /4 ft of shadow=x / 2 ft of shadow
x=(8 ft * 2 ft of shadow) / 4 ft of shadow=4 ft

height of a lawn ornament=4 ft

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Find the area and the circumference of a circle with a diameter 8yrd.

nalin [4]

Answer:

Part 1) The area of the circle is $A=50.24\ yd^2$

Part 2) The circumference of the circle is $C=25.12\ yd$

Step-by-step explanation:

step 1

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=8/2=4\ yd$ ---> the radius is half the diameter

$\pi =3.14$

substitute

$A=(3.14)(4)^{2}$

$A=50.24\ yd^2$

step 2

The circumference of a circle is equal to

$C=\pi D$

we have

$D=8\ yd$

$\pi =3.14$

substitute

$C=(3.14)8$

$C=25.12\ yd$

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3 years ago

An antique collectible has a value of $235 right now. It will increase in value by 9% each year. Find the value the collectible

kirill [66]

Answer:

Step-by-step explanation: An antique collectible has a value of $235 right now. It will increase in value by 9% each year. Find the value the collectible after 16 years, A.$2115 B. $1017 C.$856 D.933

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2 years ago

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The following table shows the distance from school as a function time

kykrilka [37]

Answer:

27,0 the distance away from the school

Step-by-step explanation:

Apply the formula for equation of a straight line;

y=mx+c where c is the y intercept , and m is the gradient

From the graph, the slope is negative where speed decreases with increase in time

Find the gradient by applying the formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

Taking y₁=24, y₂=20, x₁=9, x₂=12

Then;

$m=\frac{20-24}{12-9} =\frac{-4}{3}$

write the equation of the function as ;

y=mx+c, c=36( the y-intercept when x=0) hence the equation is;

$y=mx+c\\\\y=\frac{-4}{3}x+36$

To get x-intercept, substitute value of y with 0

$y=mx+c\\\\\\y=-\frac{4}{3} +36\\\\\\0=-\frac{4}{3} x+36\\\\\frac{4}{3}x =36\\\\\\4x=36*3\\\\\\x=108/4=27$

This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.

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3 years ago

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The computer store is having a sale on lets us each laptop is being sold for 15% off the regular price Avery wants to buy a lapt

Nuetrik [128]

Answer:

The answer is 600.

Step-by-step explanation:

This is because 5 percent of 800 is 40. 800+40 = 840. 15 percent of 800 is 160. 840 - 160 is 680. 10 percent of 800 is 80. 680 - 80 is 600.

If this is right an you mar me brainliest? Thank you and have a good day!

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3 years ago

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Unghiurile ∢AOB, ∢BOC, ∢COD și ∢DOA sunt unghiuri în jurul punctului O, ∢AOB = 80°, ∢BOC = 140° și CO ⊥ OD.

Sonbull [250]

Answer:

a) ∡AOC = 140 °

∡AOD = 40 °

b) ∡AOB = ∡BOC + ∡AOC și ∡BOC = ∡AOC (unghiuri formate din segmentul OC) prin urmare, segmentul OC bisectează ∡AOB

Step-by-step explanation:

a) Calculați măsurile unghiurilor ∢AOC și ∢AOD.

b) Arătați că jumătatea liniei opuse jumătății liniei OC este bisectoarea unghiului ∢AOB

a) Parametrii dați sunt;

∡AOC. ∡BOC. ∡COD și ∡DOA sunt unghiuri în jurul circumferinței unui cerc

∡AOB = 80 ° și ∡BOC = 140 °, segmentul CO este perpendicular pe segmentul DO

Prin urmare, avem;

∡AOB + ∡BOC + ∡AOC = 360 ° (Suma unghiurilor într-un punct = 360 °)

∴ ∡AOC = 360 ° - (∡AOB + ∡BOC) = 360 ° - (80 ° + 140 °) = 140 °

∡AOC = 140 °

∡BOC + ∡BOD = 180 ° (Suma unghiurilor unui triunghi = 180 °)

∡BOD = 180 ° - ∡BOC = 180 ° - 140 ° = 40 °

∡BOD = 40 °

∡ BOD + ∡AOD = ∡AOB

∡AOD = ∡AOB - ∡BOD = 80 ° - 40 ° = 40 °

∡AOD = 40 °

b) Deoarece avem ∡AOB = ∡BOC + ∡AOC și ∡BOC = ∡AOC = 140 °, avem;

∡AOB = 140 ° + 140 ° = 280 ° = 2 × ∡BOC = 2 × ∡AOC

Prin urmare, segmentul OC bisectează ∡AOB

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3 years ago