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3 years ago

I NEED HELP!!!

Mathematics

2 answers:

zepelin [54]3 years ago

6 0

In order to answer this one, it's really really really really helpful if you know what the law of cosines says. In fact it's absolutely necessary. The law of cosines says if you know two sides of a triangle and the angle between them then you can use that information to find the length of the third side. In the picture you know the lengths of two sides and you know the angle between them. So you can use the law of cosines to find the length of the third sidethat. That's side AC.

saveliy_v [14]3 years ago

6 0

Answer:

A) AC

Explanation :-

AC is the measurement of acute triangle ABC can you find by direct substitution of the labeled measures in the Law of Cosines

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⚠️NEED HELP ASAP ⚠️The following polygons are similar. Solve for x.

Nikolay [14]

G it’s 6 answer hope it helps sorry if I wrong

6 0

3 years ago

If a baseball player get a hit in 31% of his at-bats, what is the probability that he will

solong [7]

Given:

A baseball player get a hit in 31% of his at-bats.

To find:

The probability that he will get a hit 5 at-bats in a row.

Solution:

Since, a baseball player get a hit in 31% of his at-bats, therefore

Probability that he get a hit = $\dfrac{31}{100}$

= $0.31$

Now, the probability that he will get a hit 5 at-bats in a row is

$P=0.31\times 0.31\times 0.31\times 0.31\times 0.31$

$P=(0.31)^5$

$P=0.0028629151
$

Therefore, the required probability is $(0.31)^5$ and it can be written as 0.0028629151 .

3 0

3 years ago

How do you do this (the first one)? i've been sitting trying to do this for literally half an hour.

joja [24]

Spain = 140
Italy = 40
France = 60
U.S.A = 120
total = 18,000,000

Spain : 140/360 = 39%.....0.39(18,000,000) = 7,020,000
Italy : 40/360 = 11%....0.11(18,000,000) = 1,980,000
France : 60/360 = 17%....0.17(18,000,000) = 3,060,000
U.S.A : 120/360 = 33%...0.33(18,000,000) = 5,940,000

6 0

4 years ago

What is the area of triangle DEF

kolezko [41]

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

$\frac{4}{34}$ = $\frac{9}{x}$ ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

3 0

3 years ago

Write a recursive rule and an explicit rule for the<br> sequence<br> 3,7,11,15

m_a_m_a [10]

Answer:

The Recursive formula for the sequence is:

aₙ = aₙ₋₁ + d

The Explicit formula for the sequence is:

$a_n=4n-1$

Step-by-step explanation:

Given the sequence

3,7,11,15

Here:

a₁ = 3

computing the differences of all the adjacent terms

7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4

The difference between all the adjacent terms is the same and equal to

d = 4

We know that a recursive formula basically defines each term of a sequence using the previous term(s).

The recursive formula of the Arithmetic sequence always involves the first term.

a₁ = 3

We know that, in the Arithmetic sequence, every next term can be obtained by adding the common difference and the preceding term.

The recursive formula of the sequence is:

aₙ = aₙ₋₁ + d

substitute n = 2 to find the 2nd term

a₂ = a₂₋₁ + d

a₂ = a₁+ d

substitute a₁ = 3 and d = 4

a₂ = 3 + 4

a₂ = 7

Thus, the recursive formula for the sequence 3,7,11,15 is:

aₙ = aₙ₋₁ + d

<u>An explicit rule for the sequence</u>

Given the sequence

3,7,11,15

We already know that

a₁ = 3

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 3 and d = 4

$a_n=4\left(n-1\right)+3$

$a_n=4n-4+3$

$a_n=4n-1$

Therefore, an explicit rule for the sequence

$a_n=4n-1$

6 0

3 years ago