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3 years ago

A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

Answer:

80 ft

Step-by-step explanation:

Let the height of the light house be x feet.

$\therefore \: \frac{128}{8} = \frac{x}{5} \\ \\ x = \frac{128 \times 5}{8} \\ \\ x = \frac{640}{8} \\ \\ x = 80 \: feet$

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Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in

Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches

Since, the area of a circle = $\pi r^{2}$

This implies that area of the two circles = $2\times \pi r^{2}$

i.e. Area of the circles = $2\times \pi 2^{2}$

i.e. Area of the circles = $8\pi$

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = $side^{2}$

i.e. Area of the square = $10.5^{2}$

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0

3 years ago

Find a solution to the equation 4(x + 7) = 38

yKpoI14uk [10]

Answer:

4(x+7)=38

4x+28=38

4x=38-28

4x=10

(divide by 4)

x=2whole number 2/4

=2whole number 1/2

or x=2.5

6 0

2 years ago

Find the value of x

fgiga [73]

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

x = 35°

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

$\qquad❖ \: \sf \:4x + 1 + x + 4 = 180$

[ by linear pair ]

$\qquad❖ \: \sf \:5x + 5 = 180$

$\qquad❖ \: \sf \:5(x + 1) = 180$

$\qquad❖ \: \sf \:x + 1 = 180 \div 5$

$\qquad❖ \: \sf \:x + 1 = 36$

$\qquad❖ \: \sf \:x = 36 - 1$

$\qquad❖ \: \sf \:x = 35$

$\qquad \large \sf {Conclusion} :$

x = 35°

7 0

2 years ago

What number goes in the highlighted box?

pentagon [3]

-15+7=-8
Adding numbers with different signs makes it subtraction and the answer will have the sign of the bigger number

3 0

3 years ago

Give B= {a,l,g,e,b,r} and C={m,y,t,h} find B U C

masha68 [24]

The union of a collection of sets is the set of all elements in the collection.

We have B = {a, l, g, e, b, r} and C = {m, y, t, h}

6 0

3 years ago