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emmasim [6.3K]
2 years ago
11

18. GOLF Luis and three friends went golfing. Two of the friends rented clubs for $6 each. The total cost of the rented

Mathematics
1 answer:
makvit [3.9K]2 years ago
8 0

Answer:

The cost of the green fees for each person was $16

Step-by-step explanation:

Let

x -----> the cost of the green fees for each person

we know that

The total cost of the green fees plus the green fees for each person must be equal to $76

so

The linear equation that represent this problem is

76=4x+2(6)

Solve for x

Subtract 12 both sides

76-12=4x+12-12

64=4x

16=x

Rewrite

x=16

therefore

The cost of the green fees for each person was $16

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In ΔXYZ, m∠X = 70° and m∠Y = 88°. Which statement about the sides of ΔXYZ must be true?
Wewaii [24]

Answer:

Z must equal 22° because it will add up to 180° it is an acute scalene triangle

8 0
2 years ago
4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3
Zepler [3.9K]
The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.
8 0
2 years ago
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What is the sum of the infinite geometric series?<br><br> mc010-1.jpg
ra1l [238]
You haven't provided the series, therefore, I can only help with the concept.

<u><em>For an infinite geometric series, we have two possibilities for the common ratio (r):</em></u>
for r > 1, the terms in the series will keep increasing infinitely and the only possible logic summation of the series would be infinity
for r < 1, the terms will decrease, therefore, we can formulate a rule to get the sum of the infinite series

<u><em>In an infinite series with r < 1, the summation can be found using the following rule:</em></u>
sum = \frac{a_{1} }{1-r}
where:
a₁ is the first term in the series
r is the common ratio

<u>Example:</u>
For the series:
2 , 1, 0.5 , 0.25 , ....
we have:
a₁ = 2
r = 0.5
Therefre:
sum = \frac{2}{1-0.5} = 4

Hope this helps :)
4 0
2 years ago
A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length
sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

                                                                                                         shadow

Substitution

                                             x / 31.5 = 8 / 14

Solve for x

                                            x = (31.5)(8) / 14

Simplification

                                            x = 254.4 / 14

Result

                                            x = 18.2 ft              

4 0
2 years ago
What is the domain of validity for csctheta =start fraction 1 over sine theta end fraction? (1 point) all real numbers all real
dem82 [27]
We know the following relationship:

csc(\theta)=\frac{1}{sin(\theta)}

The domain of a function are the inputs of the function, that is, a function f is a relation that assigns to each element x in the set A exactly one element in the set B. The set A is the domain (or set of inputs) of the function and the set B contains the range (or set of outputs).Then applying this concept to our function csc(\theta) we can write its domain as follows:

1. D<span>omain of validity for csc(\theta):
</span>
D: \{\theta \in R/ sin(\theta) \neq 0 \} \\ In words: All \ \theta \ that \ are \ real \ values \ except \ those \ that \ makes \ sin(\theta)=0 
 
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sin(\theta)=0?

when:

\theta=..., -2\pi,-\pi,0,\pi,\2pi,3pi,...,k\pi

where k is an integer either positive or negative. That is:

sin(k\theta)=0 \ for \ k=...,-2,-1,0,1,2,3,...

To match this with the choices above, the answer is:

<span>"All real numbers except multiples of \pi"

</span>
2. which identity is not used in the proof of the identity 1+cot^{2}(\theta)=csc^{2}(\theta):

This identity can proved as follows:

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The identity that is not used is as established in the statement above:

<span>"1 +cos squared theta over sin squared theta= csc2theta"

Written in mathematical language as follows:

</span>\frac{1+cos^{2}(\theta)}{sin^{2}(\theta)}=csc^{2}(\theta)<span>


</span>
4 0
2 years ago
Read 2 more answers
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