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dedylja [7]
2 years ago
8

An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, wha

t is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet
Mathematics
1 answer:
Triss [41]2 years ago
3 0

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

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A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯, A′B′¯¯¯¯¯
ivanzaharov [21]

Answer:

Step-by-step explanation:

Formula to determine the scale factor,

Scale factor = \frac{\text{Dimension of the image}}{\text{Dimension of the original}}

2 = \frac{P'Q'}{PQ}

2 = \frac{P'Q'}{2}

P'Q' = 4 cm

Similarly, for the length of A'B',

2 = \frac{A'B'}{AB}

2 = \frac{A'B'}{1.5}

A'B' = 3 cm

For the length of M'N',

2 = \frac{M'N'}{MN}

2 = \frac{M'N'}{3}

M'N' = 6 cm

4 0
2 years ago
Kathy used 15 ounces of chocolate in her cookies. Cindy used 15% more chocolate in her cookies. How many ounces did Cindy use? (
MaRussiya [10]
Cindy used 17.25 because 15 × .5 = 2.25 and if you add it to 15 ypu get 17.25
5 0
3 years ago
8. Misty created the number pattern below. 32, 28, 24, 20, ... If n represents a number in this pattern, which rule could be use
geniusboy [140]

Answer:

An = 32 - (4*(n-1))

Step-by-step explanation:

the starting term for this pattern is 32 (which you will need to include in the "rule")

you also know that the next term is the previous term - 4

so!

we can write this pattern as

An = 32 - (4*(n-1))

An = any number of term in the pattern

- ex). A2 = 28, A3 = 24, etc

n = the nth term

- the 3rd term = 24, the fourth term = 20, etc

4 0
2 years ago
If f(x)= 6x+7, determine the value of f(r-2)
Tanzania [10]

The value of f(r - 2) is 6r - 5

<h3>What is a function?</h3>

Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.

From the information given ,we have;

f(x)= 6x+7, with f ( r - 2)

From here, we have that x = r -2

Now, let's substitute x as r - 2 in the function given;

f(x) = 6x + 7

f(r - 2) = 6 ( r - 2) + 7

Expand the bracket

f(r - 2) = 6r - 12 + 7

collect like terms

f(r - 2) = 6r - 5

Thus, the value of f(r - 2) is 6r - 5

Learn more about functions here:

brainly.com/question/6561461

#SPJ1

5 0
1 year ago
Why is 1 3 + 1 3 NOT equal to 2 6 ?
katrin [286]
It is a trick question 13+13 DOES equal 26
8 0
3 years ago
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