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FromTheMoon [43]
3 years ago
12

The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side

of the rectangle.
Mathematics
1 answer:
Daniel [21]3 years ago
8 0

9514 1404 393

Answer:

  57.1°

Step-by-step explanation:

The sides of the rectangle are adjacent and opposite the angle, so the measure is ...

  α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°

The angle between the diagonal and the short side is about 57.1°.

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Graph Y equals 5X equals 15
Zina [86]

Answer:

y

=

4

5

x

−

15

Step-by-step explanation:

3 0
3 years ago
Geomertric sequence- A bank account earns a constant rate of interest each month. The account was opened on March 1 aith $18,000
kifflom [539]
A₀ = 18 000(1 + 0.0025)⁰
A₁ = 18 000(1 + 0.0025)¹
A₂ = 18 000(1 + 0.0025)²
A(n) = 18 000(1 + 0.0025)ⁿ

So, after 5 months, A(n) = 18 000(1 + 0.0025)⁵ = $18 226.1278 ≈ 18 226.13

5 years is 60 months.

A₆₀ = 18 000(1 + 0.0025)⁶⁰ = $20 909.1021  ≈ $20 909.10
8 0
3 years ago
Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not repre
Contact [7]

Answer:

1. Median = 10.1

2. A. The median represents the center.

3. D. The​ mode(s) can't represent the center because it​ (they) is​(are) not a data value.

Step-by-step explanation:

Mean of a sample = sum of the samples/no of the samples

Samples in increasing order:

9.8

9.8

9.9

10.1

10.4

10.6

11.1

Mode is the sample with highest frequency.

Median is the middle entry of the data.

Mean = (9.8 + 9.8 + 9.9 + 10.1 + 10.4 + 10.6 + 11.1)/7

= 717/7

= 10.243

Median = 10.1

Mode = 9.8 because it has the highest frequency of 2

6 0
4 years ago
a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a squ
sveta [45]

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}

\text{Number of possible sets}=\dfrac{250}{8}

\text{Number of possible sets}=31.25

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

\text{Number of possible sets}\approx 31

Therefore, the number of possible sets at the dance is 31.

7 0
3 years ago
What formula do i use when it tells me to find the area with a given circumference? If you know please give an example as well,
liberstina [14]

Answer:

Step-by-step explanation:

A = C^2 / 4 x pi

so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).

you would then just divide 100 by 12.57 = 7.96 ( rounded)

hope it helped

6 0
3 years ago
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