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1 year ago

The points A(4, 0) and B(3, 7) are two vertices of right triangle ABC. The hypotenuse of the triangle is AB¯¯¯¯¯.

Mathematics

1 answer:

Anna35 [415]1 year ago

7 0

Answer:

C(3, 0)

Explanation:

A(4, 0) and B(3, 7)

<u>When Drawn These Two coordinates</u>

Identify the coordinates which make the triangle 90° (right angle triangle)

<u>Stated that the Point C is on the x-axis</u>, the value of y will be 0

Coordinates of C: (3, 0)

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Insert parentheses in expression 2 so that it has a value of 4. Then show why your expression has a value of 4.

Natasha_Volkova [10]

(2^3 +4) = 12

9-6=3

(2^3 +4) /(9-6)
12 /3
4

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3 years ago

12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th

atroni [7]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

$Confidence= 0.95$ the confidence level desired

$ME =0.03$ represent the margin of error desired

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The confidence level is 95% or 0.95, the significance is $\alpha=0.05$ and the critical value for this case using the normal standard distribution would be $z_{\alpha/2}=1.96$

Since we don't have prior information we can use $\hat p= 0.5$ as an unbiased estimator

Also we know that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

6 0

3 years ago

What is the area of the figure?

rewona [7]

Answer:

57 square feet

Step-by-step explanation:

Split the boxes into two parts.

One box measuring 11.5 ft long and 3 ft wide. (Box A)

The second box measuring 7.5 ft long and 3 ft wide. (Box B)

Area (figure) = Area of box A + Area of box B

Area of box A

3 × 11.5 = 34.5 ft²

Area of box B

3 × 7.5 = 22.5 ft²

Area of figure = 34.5 + 22.5

Area of figure = 57 ft²

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2 years ago

While watching a parade I saw some clowns and horses. I counted 30 legs and 10 heads. How many horses did I see in the parade?

emmasim [6.3K]

The answer is 5 horses

7 0

3 years ago

Can someone please help

dimaraw [331]

Answer:

Angle of elevation of the airplane = 17.46 degrees

Step-by-step explanation:

From the picture attached,

An airplane is flying at an altitude of 1500 ft at point A.

Runway starts from point B from which distance of the airplane is 5000 ft.

Now we apply sine rule in the given triangle ABC to measure the angle θ.

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sinθ = $\frac{AC}{AB}$

= $\frac{1500}{5000}$

$\theta=\text{sin}^{-1}(\frac{3}{10})$

$\theta=17.46$ degrees

3 0

2 years ago