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Eva8 [605]
2 years ago
12

A student is finding the measures of the angles in a triangle that have the ratio 4:4:7. Find the mistake and correct it.

Mathematics
1 answer:
7nadin3 [17]2 years ago
8 0

suppose 4:4:7 be 4x, 4x, 7x

or, 15x = 180°

or, X = 180/15

or, X = 12

therefore,

4x = 4x12= 48

4x= 4x12= 48

7x= 7x12= 84

so if you plus all of them you get 180

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A study claims that the mean age of online dating service users is 40 years. Some researchers think this is not accurate and wan
Mademuasel [1]

Answer: H_0:\mu=40

H_0:\neq40

Step-by-step explanation:

  • A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
  • An alternative hypothesis says that there is a statistical significance  between two variables.

Claim 1. : Mean age of online dating service users is 40 years.

i.e. \mu=40, since it has equals sign so we take this as null hypothesis.

Claim 2. : Mean age of online dating service users is not 40 years.

\mu\neq40

⇒ Null Hypothesis : H_0:\mu=40

Alternative hypothesis : H_0:\neq40

5 0
3 years ago
Clint invested $6000 in a savings account for 12.5 years. At the end of 12.5 years, his savings account had $8250 in it. If $600
Vika [28.1K]
The balance B at the end of time t is given by
  B = P +Prt
  8250 = 6000 +6000*r*12.5 . . . . substitute the given information
  2250 = 6000*r*12.5 . . . . . . . . . . .subtract 6000
  2250/(6000*12.5) = r . . . . . . . . . .divide by the coefficient of r
  r = .03 = 3%

Clint earned 3% annual simple interest on his savings.
7 0
3 years ago
Read 2 more answers
Please solve this <br>with each step​
grandymaker [24]

Step-by-step explanation:

please mark me as brainlest

6 0
2 years ago
Help me please i dont understand
matrenka [14]

Answer:

22

Step-by-step explanation:

The line where it says 2cm, extend that line to the top. You know have 2 triangles, call the one on the left A and the one on the right B

area of recntangle = bh

Rect A:

b = 5

h = 4 - 2

h = 2

bh = 5 x 2

bh = 10

Rect B:

b = 3

h = 4

bh = 4 X 3

bh = 12

Total = 10 + 12

Total = 22

5 0
2 years ago
Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s
Nataliya [291]

Answer:

f(x)=\frac{1}{2}x^2-4x+5

Step-by-step explanation:

A parabola is written in the form

f(x)=a((x-h)^2+k) (1)

where:

h is the x-coordinate of the vertex of the parabola

ak is the y-coordinate of the vertex of the parabola

a is a scale factor

For the parabola in the problem, we know that the vertex has  coordinates (4,-3), so we have:

h=4 (2)

ak=-3

From this last equation, we get that a=\frac{-3}{k} (3)

Substituting (2) and (3) into (1) we get the new expression:

f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3 (4)

We also know that the parabola  contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6

So we also get:

a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}

So the equation of the parabola is:

f(x)=\frac{1}{2}((x-4)^2 -6) (5)

Now we want to rewrite it in the standard form, i.e. in the form

f(x)=ax^2+bx+c

To do that, we simply rewrite (5) expliciting the various terms, we find:

f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5

6 0
3 years ago
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