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HACTEHA [7]
3 years ago
15

Julia did a survey in four butterfly parks and wrote the following observations:

Mathematics
2 answers:
svetlana [45]3 years ago
7 0
Park s because it 65.5% blue
Oduvanchick [21]3 years ago
6 0

Answer with Step-by-step explanation:

Percentage of blue butterflies in any park

=\dfrac{number\ of\ blue\ butterflies\ in\ that\ park}{total\ butterflies\ in\ that\ park}\times 100

Percentage of blue butterflies in  park P

=\dfrac{21}{82}\times 100

=25.61 %

Percentage of blue butterflies in  park Q

=\dfrac{40}{86}\times 100

=46.51%

Percentage of blue butterflies in  park R

=\dfrac{11}{63}\times 100

=17.46%

Percentage of blue butterflies in  park S

=\dfrac{38}{58}\times 100

=65.52%

Hence, park which had the greatest percentage of blue butterflies is:

Park S

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I need help with both of these questions.
grigory [225]

Answer:

1) b=14.34 units.

2) a=20.48 units

Step-by-step explanation:

since, the triangle is a right angled triangle so we can use the trignometric identity in order to find the values of a and b.

let the base be denoted by 'B'.

height or perpendicular side of the triangle be denoted by 'P'.

and hypotenuse of the triangle be denoted by 'H'.

then using sine and cosine trignometric identity we have:

\sin x=\dfrac{P}{H}

and \cos x=\dfrac{B}{H}

Here x=35°

and H=25 units , P=b and B=a

Hence \sin 35=\dfrac{b}{25}

as  \sin 35=0.573576

hence, b=14.3394 units.

also \cos35=\dfrac{a}{25}

and \cos35=0.819152

Hence a=20.4788 units

In two decimal places we could represent it as:

a=20.48 units

and b=14.34 units.

6 0
3 years ago
A triangle has ∠1 and ∠2 as remote interior angles with respect to exterior angle ∠3. Given that m∠1 = 50 and m∠2 = 70, Alicia r
11111nata11111 [884]

Answer:

No, 60 is the third interior angle's mesure, not the exterior ∠3.

Step-by-step explanation:

Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.

The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180,  so∠3=180-∠C=180-60=120.

4 0
3 years ago
ILL MARK BRAINLIEST ---Nicole is factoring 0.49t^18-25 by using the rule a^2- b^2 = (a+b)(a-b) which expression will she use for
lubasha [3.4K]
0.7t^9 I just took the test and that is the right ansswer
8 0
3 years ago
Please please help. I have a bunch of these and I don’t understand it at all
shtirl [24]
The correct option is: Option (B) \sum_{i=1}^{7} (5i-2)

Explanation:

First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.

When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).
3 0
3 years ago
You’re piloting an airplane. To prepare for landing, you change the plane’s altitude from a meters to c meters.
matrenka [14]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
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