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2 years ago

Use the table to approximate AB in the triangle below.

Mathematics

2 answers:

charle [14.2K]2 years ago

8 0

Answer:

Answer is 6.1 units

Step-by-step explanation:

MAVERICK [17]2 years ago

5 0

Sin55=opp/hyp

Sin55=5/hyp

Hyp= 5/sin55

AB=Hypotenuse

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creativ13 [48]

Step-by-step explanation:

since the house, the school and the grocery store all have the same x coordinate (-4), they are on the same vertical line of x = -4.

and that means their distances are simply the differences in their y coordinates.

the only one different in that regard is the community center, but it is on the same y coordinate as the school, so the distance to the school is only the difference in their x coordinates.

so, the distance from house to school is

|5 - 3| = |3 - 5| = 2

as it is the same distance in either direction.

the distance from house to school to grocery store is the distance from house to school plus the distance from school to grocery store :

2 + |3 - -9| = 2 + |-9 - 3| = 2 + 12 = 14

now we need to find the distance from home to school to community center.

that is 2 + the distance from school to community center.

as mentioned above, since the school and the community center have the same y coordinate, their distance is the difference in their x coordinates :

|-4 - 6| = |6 - -4| = 10

so, in total the way house to school to community center is 2 + 10 = 12.

and that is shorter than the way house to school to grocery store, which is 14.

so, yes, the distance house to school to grocery store (14) is greater than the distance house to school to community center (12).

8 0

2 years ago

Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...

svlad2 [7]

Answer:

The required recursive formula is:

$a_n=(-3)\times a_{n-1}$

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let $a_n$ represents the nth term of the sequence.

This means that:

$a_1=6, a_2=-18, a_3=54, a_4=-162,......$

As the common ratio is -3.

so,

$a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}$

Hence, the required recursive formula for the geometric sequence is:

$a_n=(-3)\times a_{n-1}$

5 0

3 years ago

Rewrite in simplest terms: 3h - 2(-0.1h - 0.8)<br>please help

levacccp [35]

Answer:

3.2h+1.6

Step-by-step explanation:

3h-2(-0.1h-0.8)

3h+0.2h+1.6

3.2h+1.6

8 0

2 years ago

Write the equation in slope-intercept form of the line that contains the points (4, -7) and (0, 5).

LenaWriter [7]

The slope intercept form is y=mx+b
The slope formula is m=(y2-y1)/(x2-x1)
So; 5-(-7) / 0-4= -3
Then you use one of the points to find b; I’ll use 0 and 5 (the first number is x and the second number is y)
5=(-3)(0)+b
5=0+b
5=b
Finally you plug in your two values
Y= -3x+5

Hope this helps :)

4 0

3 years ago

Read 2 more answers

The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3

Korolek [52]

Answer:

Step-by-step explanation:

Maximum capacity of the elevator = 2000 pounds

Combined weight of the elevator = 428 pounds

A). Let the possible weights that can be added to the elevator = w pounds

B). Therefore, inequality representing this situation will be,

428 + w < 2000

C). By solving the given inequality,

(428 + w) - 428 < 2000 - 428

w < 1572 pounds

Now we draw this inequality on a number line.

3 0

3 years ago