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rosijanka [135]
1 year ago
12

Iliana wants to find the perimeter of triangle ABC. She uses the distance formula to determine the length of AB. Finish Iliana’s

calculations to find the length of AB.
What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

10 units
11 units
12 units
13 units

Mathematics
2 answers:
8090 [49]1 year ago
5 0
The hypotenuse is 5, the sides are 3 and 4. The perimeter is the addition of those 3 numbers.
5+4+3 = 12 units

For future reference, if the sides of a right triangle are any multiples of 3 and 4, the hypotenuse is the same multiple of 5. This triangle has sides with lengths 3, 4, and 5, and a triangle with sides 9 and 12 would have a hypotenuse of 15 :)

Mars2501 [29]1 year ago
5 0

Answer:

12 units

Step-by-step explanation:

I just took the test

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The side of the congruent side of the triangle should be greater than 7 feet.
4 0
2 years ago
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest ra
Oksana_A [137]

Answer:

The area of the pyramid is 360 unit²

Step-by-step explanation:

Given

Base Edge, a = 10

Height, h = 12

Required

Determine the surface area

The surface area of a regular pyramid is calculated as thus;

A = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}

Substitute values for a and h

A = 10^2 + 2 * 10 * \sqrt{\frac{10^2}{4} + 12^2}

Evaluate all squares

A = 100 + 2 * 10 * \sqrt{\frac{100}{4} + 144}

A = 100 + 2 * 10 * \sqrt{25 + 144}

A = 100 + 2 * 10 * \sqrt{169}

Take positive square root of 169

A = 100 + 2 * 10 * 13

A = 100 + 260

A = 360

<em>Hence, the area of the pyramid is 360 unit²</em>

4 0
1 year ago
Rectangle TUVW is on a coordinate plane at T (a, b), U (a + 2, b + 2), V (a + 5, b − 1), and W (a + 3, b − 3). What is the slope
masya89 [10]

Answer:

The correct option is;

A 1

Step-by-step explanation:

The given rectangle TUVW has coordinates T(a, b), U (a + 2, b + 2), V ( a + 5, b - 1) and W (a + 3, b - 3).

Given that the coordinates of T and U are T (a, b), and U (a + 2, b + 2), we have;

The slope, m of the line TU is is found by the following relation;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where we put (x₁, y₁) = (a, b) and (x₂, y₂) = (a + 2, b + 2), we have;

m = ((b + 2) - b)/((a + 2) - a) = 2/2 = 1

Whereby the slope of a line parallel to another line are equal, we have that the slope of the line parallel to the line that contains the side TU is also 1.

7 0
2 years ago
Read 2 more answers
A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical
Korolek [52]

Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical​ store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.

Using this​ estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical​ store?

p = \frac{78}{100} = 0.78

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4 0
2 years ago
Mr. Edwards is replacing an existing fence on his farm that is 6 feet high. Reliable Fence Company charges $8,000 for building m
Phoenix [80]

Answer:

ABC Fence Company charges $35 more per foot of fencing.

Step-by-step explanation:

ABC charges $35 more per foot of fencing.; The slope of each function represents the rate per foot of fencing.

Reliable Fence Company: y = $225x + $8,000 → $225 per foot of fencing. ABC Fence Company:  

$29,200 − $24,000

20

= $260 per foot of fencing

$260 − $225 = $35; therefore, ABC charges $35 more per foot of fencing.

3 0
1 year ago
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