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Lapatulllka [165]

4 years ago

10

Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 5 salamanders, 3 crayfish, an

d 12 minnows in her lab.

2 answers:

denpristay [2]4 years ago

8 0

She'll most likely pick a minnow

gregori [183]4 years ago

3 0

The chances of her selecting a salamander is five out of twenty because there are five salamanders and twenty total creatures.

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X-y=3<br> X+2y=-6<br> Solve using substitution

Tresset [83]

X-y=3=>x=3+y
X+2y=-6
=========
3+y+2y=-6
3+3y=-6
3y=-6-3
3y=-9
y=-3

X+2y=-6
X+2(-3)=-6
X-6=-6
X=0

3 0

3 years ago

The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

zepelin [54]

Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$

Answer in figures

$h = 190.5 feet$

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

$tan (19.9)=\frac{h}{50+x} ---------------equation 1\\$

$tan (21.8)=\frac{h}{x}----------------equation 2$

From equation 2,

$x =\frac{h}{tan21.8}=\frac{h}{0.4}$

substituting the value of x into equation 1, we get

$tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}$

$tan 19.9=h\times \frac{0.4}{20+h}$

cross multiplying,

$20\times tan(19.9) +htan(19.9)=0.4h$

$20tan(19.9)= h(0.4-tan(19.9))$

$h= \frac{20tan (19.9)}{0.4-tan (19.9)}$

The height of the tower is $h= \frac{20tan (19.9)}{0.4-tan (19.9)}$ in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

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4 years ago

Combine like terms 9-5=9x-6x

4vir4ik [10]

Answer:

4 = 3x

Step-by-step explanation:

9-5=9x-6x

Combine like terms

4 = 3x

We can solve for x

Divide by 3

4/3 = 3x/3

4/3 =x

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4 years ago

A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 in

Nadya [2.5K]

Answer:

163.5 cubes

Step-by-step explanation:

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3 years ago

Read 2 more answers

What type of triangle has exactly two acute triangles

Sveta_85 [38]

Answer: A right triangle.

Step-by-step explanation:

This is because an acute triangle would have all of its three sides acute while an obtuse one would have two acute angles as well, but also an obtuse one. If the question is specifically asking for a triangle with exactly two acute angles, a right triangle would be the answer.

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3 years ago