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Paha777 [63]
3 years ago
8

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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Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult ticke
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F(X)=(4)12+x6.50
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3 years ago
If a: b= 3:4 then find the value of<br>(6a-3b :(5a + 2b)​
KengaRu [80]

Answer:

6 : 23

Step-by-step explanation:

a : b = 3 : 4 ....(given)\\  \\ let \: a = 3x \\ b = 4x \\  \\ (6a - 3b) : (5a + 2b) \\  \\  =  \frac{(6a - 3b)}{(5a + 2b)}  \\  \\  = \frac{6(3x) - 3(4x)}{5(3x) + 2(4x)} \\  \\  =  \frac{18x- 12x}{15x+ 8x} \\  \\  = \frac{6x}{23x} \\  \\  =  \frac{6}{23}  \\  \\ (6a - 3b) : (5a + 2b) = 6  : 23

7 0
3 years ago
The distance from Gary's school to the corner market is 47 yards.The distance to the BART station is 12 times as far How far is
andre [41]

Answer:

The distance from Gary's school to  the BART station is 564 yards

Step-by-step explanation:

Let

x ----> the distance  from Gary's school to the corner market

y ----> the distance from Gary's school to  the BART station

we have

x=47\ yd

we know that

To find out the distance from Gary's school to  the BART station, multiply the distance from Gary's school to the corner market by 12

so

y=12x

substitute the value of x

y=12(47)=564\ yd

therefore

The distance from Gary's school to  the BART station is 564 yards

8 0
3 years ago
Which one is a irrational number and why ?
Gnom [1K]

Answer: Option A, the square root of 40, is an irrational number.

Step-by-step explanation:

We are given 4 options:

- the sqrt of 40

- the sqrt of 49

- the sqrt of 100

- the sqrt of 9

All but one are perfect squares. Let's find out which one is not a perfect square.

The sqrt of 49 is 7. 7 times 7 is equal to 49.

The sqrt of 100 is 10. 10 times itself is equal to 100.

The sqrt of 9 is 3. 3 times 3 is equal to 9.

What about the square root of 40?

We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!

4 0
3 years ago
Read 2 more answers
A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit.
iris [78.8K]

9514 1404 393

Answer:

  530.93 square units

Step-by-step explanation:

The area of a circle in terms of diameter can be found by ...

  A = (π/4)d²

  A = 3.14159/4×26² ≈ 530.929

Rounded to hundredths, the area of the circle is 530.93 square units.

7 0
3 years ago
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