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2 years ago

Please help, i have been doing this for a while and it is still wrong.

Mathematics

1 answer:

adelina 88 [10]2 years ago

3 0

Answer:

51.7661748226 degrees; 38.2338251774 degrees

Step-by-step explanation:

First, draw a diagram to illustrate this situation. Looking at angle A, Eric's height, 1.65 m, corresponds to OPPOSITE, and Eric's shadow, 1.30 m, corresponds to ADJACENT. Using SOH CAH TOA, the equation is:

tan(A) = 1.65/1.30

A = arctan(1.65/1.30)

A = 51.7661748226 deg

Looking at angle B, 1.65 m is ADJACENT and 1.30 m is OPPOSITE. Therefore, the equation is:

tan(B) = 1.30/1.65

B = arctan(1.30/1.65)

B = 38.2338251774 deg

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In an arithmetic sequence, term 10 is 33 and term 22 is -3. What are the first 4 terms

Anarel [89]

9514 1404 393

Answer:

60, 57, 54, 51, ...

Step-by-step explanation:

The general term of an arithmetic sequence is ...

an = a1 +d(n -1)

We would like to find the first term (a1) and the common difference (d). We can use the two given terms to find these parameters.

a10 = 33 = a1 +d(10 -1)

a22 = -3 = a1 +d(22 -1)

Subtracting the first equation from the second, we get ...

(-3) -(33) = (a1 +21d) -(a1 +9d)

-36 = 12d

-3 = d

Using this value in the first equation, we can find a1.

33 = a1 +9(-3) = a1 -27

60 = a1 . . . . . . . . . . . . . . add 27 to both sides

So, our sequence has first term 60 and a common difference of -3.

The first 4 terms are ...

60, 57, 54, 51, ...

8 0

3 years ago

What is the graph of y=-(x-2)^3-5

natulia [17]

When x=0,
y=-(0-2)^3-5
y=3

When y=0,
(x-2)^3=5
x-2= +/- 5^1/3
x= +/- 5^1/3 +2
x= 3.70997 or x=0.29002

To find the turning point at y, substitute the information that you have found above.

y=-(3.70997-2)^3-5
y=-9.99994

Find the mid-point next as mid-point is also the turning point.

(3.70997+0.29002)÷2=1.999995

Hence, Turning point is (1.999995, 9.99994)

Plot a graph using turning point, y value and the 2-x values.

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4 years ago

There are four people on a committee and each person will be assigned a different job...president, vice president, secretary

melomori [17]

Because there are four people on the committee, and four positions, you would do 4 times 4 which gets you an answer of 16. hope this helps!!

8 0

2 years ago

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IN A CLASS OF 60 STUDENTS, 25 PLAYS BASKETBALL, 2O PLAY VOLLEYBALL, AND 10 STUDENTS PLAY BOTH OF THEM. HOW MANY STUDENTS PLAY NE

I am Lyosha [343]

Answer:

Step-by-step explanation:

We'll compare it with the study of sets, the most noticeable operation of which is:

<u>n(A ∪ B) = n(A) + n(B) - n(A ∩ B)</u>

where,

n(A ∪ B) is the Union Set, i. e, the set that contains all the elements

n(A) is a subset of the Union Set

n(B) is another subset of the Union Set, and

n(A ∩ B) is the Intersection Set ,i.e, the set contains common elements from both A and B sets.

<h3><u>In the question:</u></h3>

n(A ∪ B) = ? (<em>the total number of students in the class who are into the above mentioned sports)</em>

Let set A contains the students who play basketball and set B, the students who play Volleyball.

n(A) = 25
n(B) = 20

10 students play both of them, i. e.,

n(A ∩ B) = 10 (<em>as 10 students have common sports - Volleyball and Basketball</em>)

<u>Using the above operation:</u>

=> n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

=> n(A ∪ B) = 25 + 20 - 10

=> n(A ∪ B) = 35

<h3><u>Final Step to the Answer:</u></h3>

<u>The total number of students in the class </u>

= students into the given sports + students who don't play any of them

Total number of students in the class is 60
Total number fo students playing basketball and volleyball is 35

The students who play neither = 60 - 35

= 25

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3 years ago

What is the missing number ?? /6 =25/30

matrenka [14]

Answer:

Step-by-step explanation:

$\frac{25}{30}$ ( divide numerator and denominator by 5 ) , then

$\frac{25}{30}$ = $\frac{5}{6}$ ( with missing number ? = 5 )

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2 years ago

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