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3 years ago

What is the answer to m

Mathematics

1 answer:

tigry1 [53]3 years ago

5 0

Answer:

Height of a cell tower is, 30 m

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the given statement:

Let height of a cell tower be h.

Height of a pole = 3m ,

Shadow of a pole = 4 m and

shadow of a cell tower = 36+4 = 40 m

By definition of proportion;

$\frac{\text{Height of a cell tower}}{\text{Shadow of a cell tower}} = \frac{\text{Height of a pole}}{\text{Shadow of a pole}}$

Substitute the given values we get;

$\frac{h}{40}=\frac{3}{4}$

by cross multiply we get;

$4h = 120$

Divide both sides by 4 we get;

h = 30 m

Therefore, the height of a cell tower is, 30 m

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can someone help me with this? this is algebra 2 question and please show me all work (orderd pair, vertex, graph ect..)

Andrews [41]

To find the maximum height you need to find the vertex:(h,k)
Your equation is in vertex form a(x-h)+k and the vertex is (h,k) where k is the maximum height and the h is the distance it went to reach the maximum height.
k=6 so the kangaroo's maximum height is 6 feet.

To find how long is the kangaroo's jump, take a look at the graph. You will notice that the parabola ends at the distance the kangaroo jumped. You will also see that it is the one of the x-intercepts.

-.03(x-14)^2+6=0
-.03(x-14)^2+6-6=0-6
-.03(x-14)^2=-6
-.03/-.03(x-14)=-6/-.03
(x-14)^2=200
[(x-14)^2]^.5=200^.5
x-14=(200)^.5
x-14+14=(200)^.5+14
x≈28.14 feet
The kangaroo jumped a distance of 28.14 feet.

You will notice that the square root of a number gives you two solutions a positive and a negative one. The other solution is -.14, which we know distance is not negative so we do not use that solution. Also, I used the ^.5 instead of using the square root. It is the same.

8 0

4 years ago

PLZ HELP I GIVE BRAINLIEST

Alja [10]

9514 1404 393

Answer:

Step-by-step explanation:

The recommended way to multiply mixed numbers is to convert them to improper fractions. Where there are factors that cancel, this works nicely.

$1\dfrac{2}{3}\times1\dfrac{1}{5}=\dfrac{5}{3}\times\dfrac{6}{5}=\dfrac{5\cdot3\cdot2}{5\cdot3}=\boxed{2}$

7 0

3 years ago

Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I

lapo4ka [179]

Answer:

48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

(10y + x)/3 + 20 = 10x + y
(10y + x)/3 = 10x + y - 20
10y + x = 3(10x + y - 20)
10y + x = 30x + 3y - 60
30x - x + 3y - 10y = 60
29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

29*3 - 7y = 60
87 - 7y = 60
7y = 27
y = 27/7, discarded as fraction.

29*4 - 7y = 60
116 - 7y = 60
7y = 56
y = 8

So the age is 48.

6 0

2 years ago

Item 9 It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?

Travka [436]

To solve you divide 68 by 16 and that gives you the price per square foot so that is $4.25, Now times 12 by that and the answer will be $51 dollars.

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3 years ago

What is 60% of 52? (SHOW WORK)

klemol [59]

Answer:

31.2

Step-by-step explanation:

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5 0

3 years ago

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