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VARVARA [1.3K]
3 years ago
8

Evaluate sin-|(-0.27 +0.95). a) 42.8 ° b) 56.1 ° c) 71.8 °

Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

a) 42.8 degrees.

Step-by-step explanation:

sin-|(-0.27 +0.95) means the angle whose sine is (-0.27+0.95)

= sin-1(0.68)

Using a calculator the answer is 42.8 degrees.

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If a translation take triangle CAT to C’A’T’, what is A’T’?
Nonamiya [84]

Answer:

Option (1)

Step-by-step explanation:

If a translation takes the triangle CAT to triangle C'A'T', transformation will be the rigid transformation or Isometry.

By the definition of rigid transformation, shape and size of the image and preimage remains the same.

Therefore, length of the sides of ΔC'A'T' will remain same as ΔCAT after the translation.

Option (1) √10 will be the answer.

3 0
3 years ago
1)What is the additive inverse of 4x?
My name is Ann [436]
The additive inverse of an expression is composed of terms which bear the opposite sign of the equivalent functions such that when the two functions are added, the sum is zero. In this case, the additive inverse of +4x is B-4x. 
<span>2. a) 4x + (4 -x) = 0
</span>   4x + 4 -x = 3x + 4 is not equal to 0. 
<span>  b)  4x + (-4x)  = 0 additive inverse
</span>  c) <span>4x + (1/4x) not equal to zero should use multiplicative inverse
 d) </span><span>4x + x - 4 = 5x - 4 is not equal to zero</span>
4 0
3 years ago
Four hamburgers each contain 1/5 pound of beef. altogether how much beef do the hambugers contain
trapecia [35]
4/5 pounds of beef (all of them together)
7 0
4 years ago
Read 2 more answers
Select the correct answer.
Elan Coil [88]

We can make a conclusion about the data collection method used was fair since both shoe designs were tested on identical parameters option (B) is correct.

<h3>What is simple random sampling?</h3>

Simple random sampling is a sampling strategy in which every item in the population has an equal probability of being chosen for the sample.

We have:

Two manufacturers of the shoe company:

  • Fastex Shoes
  • SportsPlus

SportsPlus came up with a design that it claims performs even better than Fastex's design.

SportsPlus decided to test the claims:

  • It created two groups of 15 randomly selected athletes each.
  • Members of both groups were pretested and determined to have equal athletic ability.
  • Additionally, they followed the same nutrition plan and training program during the study.

Based on the data the statement "The data collection method used was fair since both shoe designs were tested on identical parameters".

Thus, we can make a conclusion about the data collection method used was fair since both shoe designs were tested on identical parameters option (B) is correct.

Learn more about the simple random sampling here:

brainly.com/question/13219833

#SPJ1

3 0
2 years ago
HURRYYY !!!! A bacteria population doubles in size every 5 hours. After 5 hours, the sample contains 2,000 bacteria. Which equat
Ainat [17]

Equation of y, the population size after x hours is y = 1000 (1.15)ˣ

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

\boxed{T_n = a + (n-1)d}

\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

<em />

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

\boxed{T_n = a ~ r^{n-1}}

\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

Let :

Initial number of population = a

After 5 hours → Population = y = a × 2 = 2000

2a = 2000

a = 2000 ÷ 2

a = 1000

After 10 hours → Population = y = a × 2 × 2 = a × 2² = 1000 × 2²

After 15 hours → Population = y = a × 2 × 2 × 2 = a × 2³ = 1000 × 2³

After x hours ↓

Population = y = 1000 \times 2^{\frac{x}{5}}

Population = y = 1000 \times (2^{\frac{1}{5}})^x

Population = y = \large{ \boxed {1000 \times (1.15)^x} }

Let's prove the equation above :

After 5 hours :

Population = y = 1000 \times (1.15)^5 = 2011 ≈ 2000 ✔

After 10 hours :

Population = y = 1000 \times (1.15)^{10} = 4046 ≈ 4000 ✔

After 15 hours :

Population = y = 1000 \times (1.15)^{15} = 8137 ≈ 8000 ✔

<h3>Learn more</h3>
  • Geometric Series : brainly.com/question/4520950
  • Arithmetic Progression : brainly.com/question/2966265
  • Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

4 0
4 years ago
Read 2 more answers
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