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3 years ago

Triangles ABC and DEF are similar. Which statement is correct? Select all that apply.

Mathematics

1 answer:

irina1246 [14]3 years ago

4 0

Answer:

Second one?

Step-by-step explanation:

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Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each

SSSSS [86.1K]

Answer:

$Pr = 0.50$

Step-by-step explanation:

Given

$n = 30$

$H = 21$

$T = 9$

See attachment for complete question

Required

$P(H)$

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

$S =\{H,T\}$ --- sample space

$n(S) = 2$ --- sample size

$n(H) = 1$ --- occurrence of Head

So, the theoretical probability is:

$Pr = n(H)/n(S)$

$Pr = 1/2$

$Pr = 0.50$

8 0

2 years ago

Show all your work to receive full credit for this problem. Solve the system of equations using the elimination method. 2a + 3b

Sindrei [870]

Given equations are;
2a + 3b = -1 ..................equation 1
3a + 5b = -2 ....................equation 2

Now multiply equation 1 with (-3)

The equation will be;

-6a -9b = 3 …………………..equation 3

Now multiply equation 2 with (2)

The equation will be;

6a + 10b = -4 ……………..equation 4

Now add equation 3 and equation 4

-6a – 9b = 3

6a + 10b = -4

------------------------------

0a + b = -1

b = -1

Now put the value of b in equation 1

2a + 3(-1) = -1

2a -3 = -1

2a = -1+3

2a = 2

a=1

Thus the solution is (a,b) = (1,-1)

8 0

3 years ago

Whats the measure of

maxonik [38]

Acute angle i think about 60

8 0

2 years ago

What is the surface area of the cylinder? Use 3.14 for pi and round your answer to the nearest hundredth.

juin [17]

Find the diameter then multiply by pi

8 0

3 years ago

Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,

miskamm [114]

Answer:

$(0,2)$ ; minimum

Step-by-step explanation:

Given:

The function is, $y=x^{2}+2$

The given function represent a parabola and can be expressed in vertex form as:

$y=(x-0)^{2}+2$

The vertex form of a parabola is $y=(x-h)^{2}+k$ , where, $(h,k)$ is the vertex.

So, the vertex is $(0,2)$ .

In order to graph the given parabola, we find some points on it.

Let $x=-2,y=(-2)^{2}+2=4+2=6$

$x=-1,y=(-1)^{2}+2=1+2=3$

$x=0,y=(0)^{2}+2=0+2=2$

$x=2,y=(2)^{2}+2=4+2=6$

$x=1,y=(1)^{2}+2=1+2=3$

So, the points are $(-2,6),(-1,3),(0,2),(1,3),(2,6)$ .

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex $(0,2)$ , it is minimum.

8 0

2 years ago