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2 years ago

Penguin or Duck?

Mathematics

2 answers:

Sonja [21]2 years ago

7 0

Answer:

9 students chose duck

Step-by-step explanation:

The question says "6 more students chose duck than chose penguin"

This means that you would add 6 to the number that chose penguin, which is 3.

6 + 3 = 9

amm18122 years ago

5 0

Answer:

Step-by-step explanation:

6+3=9

and this is very is easy

You might be interested in

Write an equivalent expression to (-0.25x - 3) - (2.5x + 1.7) using the fewest possible terms.

saul85 [17]

Answer: -2.75*x - 4.7

Step-by-step explanation:

In the equation we have only one variable, this means that the minimum possible number of terms will be two, one term with x, and one term without x.

We can start with the equation:

(-0.25x - 3) - (2.5x + 1.7)

Now, let's rewrite this as:

-0.25x - 3 - 2.5x - 1.7

(-0.25*x - 2.5*x) + (-3 - 1.7)

Solving the parentheses we get:

-2.75*x - 4.7

That is the equivalent expression that has the fewest possible terms

5 0

2 years ago

Which expression is equivalent to 8(2y+18+3y)

Alja [10]

Using distributive property 16y+144+24y could be one :) or: 40y+144

6 0

2 years ago

Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!

Mariulka [41]

Answer:

6(2 + √3)

Step-by-step explanation:

Given : Rectangle GHIJ inscribed in a circle. GK⊥JH, GK = 6 cm and m∠GHJ=15°.

To find: Radius(KH) =?

Sol: As given in figure 1, Since GK⊥JH ∴ m∠GKH = 90° . Let GK = x cm.

Now, In ΔGKH,

$tan\Theta =\frac{perpendicular}{base}$

$tan\Theta =\frac{GK}{KH}$

$tan 15^{\circ} =\frac{6}{x}$

$2-\sqrt{3} =\frac{6}{x}$ (∵ tan 15° = 2 - √3)

$x = \frac{6}{2-\sqrt{3} }$

On rationalizing the above expression,

$x = \frac{6}{2-\sqrt{3} } \times \frac{2+\sqrt{3} }{2+\sqrt{3} } =\frac{6(2+\sqrt{3} )}{4-3}$

Therefore, radius of the circle (KH) = 6 (2+√3)

This is how to find the value of tan 15°

tan 15° = tan (45° -30°)

Now using,

$tan(A-B) = \frac{tanA-tanB}{1+tanA tanB}$

$tan(45^{\circ} - 30^{\circ}) = \frac{tan 45^{\circ}-tan30^{\circ}}{1+tan 45 tan30}$

$tan(45^{\circ} - 30^{\circ}) = \frac{1-\frac{1}{\sqrt{3}}}{1+1\times \frac{1}{\sqrt{3}}}=\frac{\sqrt{3}-1}{\sqrt{3}+1}$

On rationalizing,

$tan 15^{\circ} = \frac{\left (\sqrt{3}-1 \right )^{2}}{3-1} =\frac{4-2\sqrt{3}}{2}$

Taking 2 common from numerator,

tan 15° = 2 - √3

5 0

2 years ago

Read 2 more answers

A school cotains 357 boys and 323 girls if a student is chosen at random, what is the probability that it is a girl

solong [7]

Answer:

$P(G)=0.475$

Step-by-step explanation:

From the question we are told that:

Number of boys $N_b=357$

Number of girls $N_g=323$

Total Number of students

$N_t=N_b+N_g$

$N_t=680$

Generally the equation for Probability of Choosing a Girl is mathematically given by

$P(G)=\frac{N_g}{N_t}$

$P(G)=\frac{323}{680}$

$P(G)=0.475$

3 0

2 years ago

Roll 2 six-sided number cubez how many possibilties contain only even numbers

jeka94

Answer:

1/2 of the possibilities are even number

Step-by-step explanation:

Add all of the sides together, you get 12, count on even numbers until you get to 12. 2,4,6,8,10,12. that's six numbers which is half of 12. so half of the possibilities are even.

6 0

3 years ago