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3 years ago

1. The measures of the angles of a triangle are in the extended ratio 3:5:7. What is the measure of

Mathematics

1 answer:

slega [8]3 years ago

3 0

Answer:

b) 36

Step-by-step explanation:

ratio of angles = 3:5:7

The angles are 3x, 5x , 7x

Sum of all the three angles of triangle = 180

3x + 5x + 7x = 180

15x = 180

x = 180/15

x = 12

Measure of smallest angle = 3x = 3*12 = 36

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Find the Coordinates for Point E.

slava [35]

Answer:

The coordinates for point E are (0, 1.5)

Hope this helps!!

7 0

2 years ago

Previously, an organization reported that teenagers spent 24.5 hours per week, on average, on the phone. The organization thinks

Lena [83]

Answer:

We need to develop a one-tail t-student test ( test to the right )

We reject H₀ we find evidence that student spent more than 24,5 hours on the phone

Step-by-step explanation:

Sample size n = 15 n < 30

And we were asked if the mean is higher than, therefore is a one-tail t-student test ( test to the right )

Population mean μ₀ = 24,5

Sample mean μ = 25,7

Sample standard deviation s = 2

Hypothesis Test:

Null Hypothesis H₀ μ = μ₀

Alternative Hypothesis Hₐ μ > μ₀

t (c) = ?

We will define CI = 95 % then α = 5 % α = 0,05 α/2 = 0,025

n = 15 then degree of freedom df = 14

From t-student table we get: t(c) = 2,1448

And t(s)

t(s) = ( μ - μ₀ ) / s/√n

t(s) = (25,7 - 24,5) /2/√15

t(s) = 2,3237

Now we compare t(c) and t(s)

t(c) = 2,1448 t(s) = 2,3237

t(s) > t(c)

Then we are in the rejection region we reject H₀ we have evidence at 95% of CI that students spend more than 24,5 hours per week on the phone

8 0

3 years ago

X+1 - and h(x) = 4 - X, what is the value Oil CD Nior wla olo

timofeeve [1]

Answer:

8/5

Step-by-step explanation:

$(g\circ h)(-3)$ means $g(h(-3))$ .

Start with the inside first: h(-3).

h(-3) means use the function called h and replace the x with -3. The expression that is called h is 4-x.

4-x evaluated at x=-3 gives us 4-(-3)=4+3=7.

So the value for h(-3) is 7, or h(-3)=7.

Now this is what we thus far:

$(g\circ h)(-3)=g(h(-3))=g(7)$ .

g(7) means use the function called g and replace x with 7. The expression that is called g is (x+1)/(x-2).

(x+1)/(x-2) evaluated at x=7 gives us (7+1)/(7-2)=(8)/(5)=8/5.

This is our final answer:

$(g\circ h)(-3)=g(h(-3))=g(7)=\frac{8}{5}$ .

7 0

2 years ago

If a = -35, b = 10 cm and c = -5, verify that:

Murljashka [212]

Step-by-step explanation:

(i). a+(b+c) = (a+b)+c

-35+(10-5) = (-35+10)+(-5)

-35+5 = -25-5

-30 = -30

(ii). a×(b+c) = a×b + a×c

-35 × [10+(-5)] = -35×10 + -35×-5

-35 × (10-5) = -350 + 175

-35 × 5 = -350 + 175

-175 = -175

7 0

2 years ago

Solve. x^2+ 5x-2=0 SoS plz Quadratic Equation

IRISSAK [1]

Answer:

−5/2 ± √33 /2

3 0

3 years ago