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3 years ago

What is the median of the ages in this stem-and-leaf plot? 43 45 46 47

Mathematics

2 answers:

9966 [12]3 years ago

7 0

I think it is 45.5
Hope I helped

ICE Princess25 [194]3 years ago

6 0

To find a median of an even amount of numbers, add the two middle numbers, and divide by two.

45 + 46 = 91

91/2 = 45.5

45.5 is your median

hope this helps

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Which of the following graphs represents a function?

Evgesh-ka [11]

For something to be a function, each input (x value) can only have ONE output (y value)

If an input has multiple outputs, it is not a function.

so the last graph represents a function (parabola going down)

4 0

3 years ago

Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian

777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\B=30^o$

Applying the law of sines

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(A)}=\frac{2}{sin(30^o)}$

$sin(A)=1$

$A=90^o$

Find the measure of angle C

In a right triangle

we know that

$B+C=90^o$ ----> by complementary angles

$B=30^o$

therefore

$C=60^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}$

$c=2\sqrt{3}\ units$

therefore

The dimensions of the triangle are

$A=90^o$

$B=30^o$

$C=60^o$

$a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units$

<em>Second case</em>

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

$sin(B)=0.25$

using a calculator

$B=14.48^o$

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

$A=30^o\\B=14.48^o$

therefore

$30^o+14.48^o+C=180^o$

$C=135.52^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}$

$c=5.61\ units$

therefore

The dimensions of the triangle are

$A=30^o$

$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

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3 years ago

Solve the inequality and graph the solution 2|x+1/3|<9

bagirrra123 [75]

The answer for this equation is x < 1

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3 years ago

Solve this system of equations by using the elimination method. 2x - 2y = 2. 5x + 2y = 12 (2, [?])

nalin [4]

Answer:

(2,12)

Step-by-step explanation:

mathpapa

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3 years ago

What is the vertex form of y=x^2+4x minus 7

Inessa [10]

Answer: Hello Luv........

Complete the square to find the vertex:

(−2,−11)

Step-by-step explanation:

y=x2+4x−7

=x2+4x+4−11

=(x+2)2−11

Mark me brainest please.

Hope this helps!

Anna ♥

6 0

3 years ago