Can the sides of a triangle have lengths 3, 4, and 9

Answer:

Angle 1=180-(75+30)=180-105=75

angle 4=angle 1+angle angle 2=150

Step-by-step explanation:

Answer:

The 98% confidence interval estimate of the mean is between 32.45 hg and 34.75 hg.

32.3 is not a part of the confidence interval, which means that yes, these results are very different from the confidence interval 32.3 hg​

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{6.2}{\sqrt{157}} = 1.15[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 33.6 - 1.15 = 32.45 hg

The upper end of the interval is the sample mean added to M. So it is 33.6 + 1.15 = 34.75 hg

The 98% confidence interval estimate of the mean is between 32.45 hg and 34.75 hg.

Are these results very different from the confidence interval 32.3 hg​

32.3 is not a part of the confidence interval, which means that yes, these results are very different from the confidence interval 32.3 hg​

Step-by-step explanation:

by Pythagoras theorem:

perpendicular² + base²= hypotenuse²

(1/√2)²+ (1/√3)² = H²

1/2+1/3= H²

5/6 = H²

√(5/6 )= H

√5/√6 = H

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Answer:

radius is 1/2 the diameter. so 8/2= 4 kilometers

Answer:

each taco costs $8 and each soda $4

Step-by-step explanation:

the difference between the two is $16 and half of $16 is $8 so you can tell each taco is $8. That automatically shows that the rest of the cost is $8 which half of is $4

Answer:

complementary angles sum to 90° 90° - 70° = 20° complementary of 70° is 20°

Answer:

X = 50

Step-by-step explanation:

2/5x = 20

x = 20÷2/5

x = 20 × 5/2

x = 10 × 5

x = 50

Answer:

C) similar   AA

Step-by-step explanation:

Answer:

d = 3.5t + 1

Step-by-step explanation:

The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.

d = 3.5t + 1

Answer:

D)

Step-by-step explanation:

Substitute it into equation, for (-1,1): -2*(-1) - 1 = 2 -1 = 1, and -2*4 - 1 = - 8 -1 = -9, so D) is correct.

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Answer:

Supplementary Angles

Step-by-step explanation:

Two (or more) angles whose

sum is 180°

Answer:

r = 1 ft

Step-by-step explanation:

Using the formula

d=2r

Solving for

r = d/2 = 2/2 = 1 ft

Answer:

Step-by-step explanation:

h(x)=ax^2

Given h=30 when x=150 we get

a(150)^2=30

a=30/22500=1/750 so

h(x)=x^2/750

The equation  [tex]\rm h(x)= \frac{1}{750} x^2[/tex]   represents the height of the cable at a distance x feet from the center.

It is given that the cable for a certain suspension bridge is modeled by a parabola with vertex (0,0).

It is required to derive the equation that represents the height of cable at a distance x feet from the center.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have the bridge is modeled by a parabola with vertex (0,0)

We know the general equation of parabola:

[tex]\rm y= a(x-h)^2+k[/tex]  with vertex (h,k)

Here the value of h = 0 and k = 0

[tex]\rm h(x)= ax^2[/tex]    ( ∵ y = h(x) represented the function in terms of height)

We have h = 30 at x = 150 (From the question)

Putting the value of h and x in the parabola equation, we get:

[tex]\rm 30 = a(150)^2[/tex]

[tex]\rm a = \frac{1}{750}[/tex]

Putting the value of 'a' in the parabola equation, we get:

[tex]\rm h(x)= \frac{1}{750} x^2[/tex]

Thus, the equation  [tex]\rm h(x)= \frac{1}{750} x^2[/tex]   represents the height of the cable at a distance x feet from the center.

Know more about the parabola here:

brainly.com/question/8708520

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Answer:

  3362 ft²

Step-by-step explanation:

As we saw in https://brainly.com/question/22284853, the long side of the area will be half the length of the fence: 82 feet. The remaining two sides will be 41 feet each, so the largest area that can be enclosed is ...

  A = LW

  A = (82 ft)(41 ft) = 3362 ft²

Answer:

C) is the solution

Step-by-step explanation:

As the two equations have an intersection at (-5,1), which means they share the same point, then (-5 , 1 ) is the solution for the system.

Answer:

Step-by-step explanation:

If the birdhouse is a cube that is 2 ft on each edge, the surface area is 6×2² = 24 ft². That's a pretty large birdhouse, and it will need about ¾ of a pint of paint.

Answer:

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Step-by-step explanation:

Answer:

[tex](x,y) = (-2,-3)[/tex]

Step-by-step explanation:

Given

[tex]y = 3x + 3\\y =x-1[/tex]

Required

Solve by substitution

Substitute [tex]x-1[/tex] for [tex]y[/tex] in the first equation

[tex]y = 3x + 3[/tex]

[tex]x-1 = 3x + 3[/tex]

Collect like terms

[tex]x-3x =1+3[/tex]

[tex]-2x =4[/tex]

Solve for x

[tex]x = -2[/tex]

Substitute [tex]x = -2[/tex] in the second equation

[tex]y = x -1[/tex]

[tex]y = -2 -1[/tex]

[tex]y = -3[/tex]

So: the solution is:

[tex](x,y) = (-2,-3)[/tex]

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

Step-by-step explanation:

G(r) = 5(r-4), when g(o)

= 5(0-4) = -20

Answer:

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