Ask question

Ask question

All categories

3 years ago

13

Which of these best describes the hypotenuse-angle theorem?

2 answers:

Pie3 years ago

6 0

Answer:

Option D is correct.

Step-by-step explanation:

The hypotenuse angle theorem states that - if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

So as per definition, option D is correct.

d. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Amiraneli [1.4K]3 years ago

5 0

The hypotenuse angle theorem<span> basically states that if the hypotenuse and an acute angle of one right triangle</span><span> are congruent to the </span>hypotenuse<span> and an acute </span>angle<span> of another right triangle, then the two triangles are congruent.

So I would say D is correct</span>

You might be interested in

Is 3,067,952 - -3,469,460 positive or negative?

Irina18 [472]

Answer: positive

Step-by-step explanation:

6 0

1 year ago

Jan wants to build a circular pond in his backyard. On the blueprint, the diameter of the pond is 15.5 in. The blueprint has a s

cestrela7 [59]

Answer:

hi

Step-by-step explanation:

hi

3 0

3 years ago

The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research department predicts that the demand

dlinn [17]

Answer:

$68

Step-by-step explanation:

We have been given the demand equation for Turbos as $q=-4p+544$ , where q is the number of buggies the company can sell in a month if the price is $p per buggy.

Let us find revenue function by multiplying price of p units by demand function as:

Revenue function: $pq=p(-4p+544)$

$pq=-4p^2+544p$

Since revenue function is a downward opening parabola, so its maximum point will be vertex.

Let us find x-coordinate of vertex using formula $\frac{-b}{2a}$ .

$\frac{-b}{2a}=\frac{-544}{2\times -4}$

$\frac{-b}{2a}=\frac{-544}{-8}$

$\frac{-b}{2a}=68$

The maximum revenue would be the y-coordinate of vertex.

Let us substitute $x=68$ in revenue formula.

$pq=-4(68)^2+544(68)$

$pq=-4*4624+544(68)$

$pq=-18496+36992$

$pq=18496$

Therefore, the company should sell each buggy for $68 to get the maximum revenue of $18,496.

8 0

3 years ago

A raffle offers one $8000.00 prize, one $4000.00 prize, and five $1600.00 prizes. There are 5000 tickets sold at $5 each. Find t

Harman [31]

Answer:

The expectation is $E(1 )= -\$ 1$

Step-by-step explanation:

From the question we are told that

The first offer is $x_1 = \$ 8000$

The second offer is $x_2 = \$ 4000$

The third offer is $\$ 1600$

The number of tickets is $n = 5000$

The price of each ticket is $p= \$ 5$

Generally expectation is mathematically represented as

$E(x)=\sum x * P(X = x )$

$P(X = x_1 ) = \frac{1}{5000}$ given that they just offer one

$P(X = x_1 ) = 0.0002$

Now

$P(X = x_2 ) = \frac{1}{5000}$ given that they just offer one

$P(X = x_2 ) = 0.0002$

Now

$P(X = x_3 ) = \frac{5}{5000}$ given that they offer five

$P(X = x_3 ) = 0.001$

Hence the expectation is evaluated as

$E(x)=8000 * 0.0002 + 4000 * 0.0002 + 1600 * 0.001$

$E(x)=\$ 4$

Now given that the price for a ticket is $\$ 5$

The actual expectation when price of ticket has been removed is

$E(1 )= 4- 5$

$E(1 )= -\$ 1$

4 0

3 years ago

During WWII, German U-boats would dive 150 meters below the surface. If an enemy ship was 330 meters away on the surface, at wha

IrinaVladis [17]

Answer:

24°

Step-by-step explanation:

The diagram attached is a pictorial representation of the position of the Gun Boat and the Enemy ship. We want to determine the given angle.

$Tan \theta= \frac{Opposite}{Adjacent}$

$Tan \theta= \frac{150}{330}$

$\theta= arctan (\frac{150}{330})$

$\theta= 24.4^{0}$

The angle of elevation is 24° to the nearest degree.

4 0

3 years ago