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forsale [732]
3 years ago
12

A 10 foot pole casts a 15 ft shadow. At the same time, a tree casts a 24 foot shadow. How tall is the tree

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0

1. Set up a ratio for the pole comparing height to shadow length:

   10 feet tall / 15 feet shadow

2. Set this ratio equal to a similar ratio for the tree:

    \dfrac{10 \text{ feet tall}}{15 \text{ feet shadow}}  =\dfrac{x \text{ feet tall}}{24 \text{ feet shadow}}

 

3. Solve the equation by multiplying by 24 on both sides of the equation:

    24 \cdot \dfrac{10}{15}  = x

   

      x = 16 feet

hichkok12 [17]3 years ago
4 0

Answer:

41

Step-by-step explanation:

10=15

24=x

cross multiply

24×15=410

410÷10=41

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If (a+10) and (a+20)are supplementary angles,find them​
motikmotik

Given:

(a+10) and (a+20) are supplementary

To find:

Each angle

Steps:

if 2 angles are supplementary that means they add up to 180°

(a + 10) + (a + 20) = 180

   a + 10 + a + 20 = 180

              2a + 30 = 180

                      2a = 180 - 30

                      2a = 150

                        a = 150/2

                        a = 75°

Now let's find value of each angle,

a + 10 = 75 + 10

          = 85°

a + 20 = 75 + 20

           = 95°

Therefore, the value of each angle is 85° and 95° respectively

Happy to help :)

If you need any help feel free to ask

4 0
3 years ago
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Which statement is true? The ratio of football
Mrac [35]
Footballs : basketballs = 2.5 : 1
(x 2)
footballs : basketballs = 5 : 2
⇒ basketballs : footballs = 2 : 5

Answer: <span>The ratio of basketballs to footballs is 5 : 2.</span>
7 0
3 years ago
Solve the equation. Then check your solution.
kvasek [131]

Answer:

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8 0
3 years ago
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Is 68 prime because i am doing homework and im stuck on this and it is very hard so help me please
BlackZzzverrR [31]

If  68  is a prime number, then the only factors it has are  1  and  68.
If it has any other factors besides  1  and  68, then it's NOT prime.

Right away, without any higher math, you can look at just the last digit
in 68 .  The last digit is '8'.  That tells you that '68' is an even number,
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The factors of  68  are  1,  2,  4,  17,  34, and  68 .    

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ohaa [14]

Answer:

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  • range: [-4, ∞)

Step-by-step explanation:

The domain is the horizontal extent of the function. This function is defined for all values of x greater than (but not including) -4. Its domain is (-4, ∞).

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The range is the vertical extent of the function. This function gives output values of any number greater than or equal to -4. Its range is [-4, ∞).

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