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Leokris [45]
3 years ago
14

in isosceles triangle the length of a leg is 17 cm, the vase is 16 cm. find the length of the altitude to the base

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

15 cm

Step-by-step explanation:

The altitude is one leg of the right triangle formed by the altitude, half the base, and the triangle side. The Pythagorean theorem applies, so you have ...

... (17 cm)² = (altitude)² + (16 cm/2)²

... altitude = √(17² -8²) cm = √225 cm

... altitude = 15 cm

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Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 45 minutes?
muminat

Answer:

390 miles

Step-by-step explanation:

7 0
3 years ago
A 26-foot ladder is placed against a house and reaches the 24-foot roof. What is the distance between the base of the ladder and
hammer [34]

Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft

To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

We have established that the hypotenuse is the length of the ladder which is 26ft

Let the distance we want to calculate be d

26^2 = 24^2 + d^2

d^2 = 26^2 -24^2

d^2 = 676 - 576

d^2 = 100

d = square root of 100

d = 10ft

3 0
3 years ago
The equation of line a is y=12x−1, and it passes through point (6,2).
Triss [41]

Answer:

A). slope = -1/12         y-intercept = 3/2

Step-by-step explanation:

y = -1/12x + b

2 = -1/12(-6) + b

2 = 1/2 + b

3/2 = b

y = -1/12x + 3/2

3 0
2 years ago
Find three consecutive even integers if three times the first integer is two times the third.​
drek231 [11]

Using a system of equations, it is found that the three consecutive even integers are -8, -6 and -4.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the three consecutive even integers are represented by:

n, n + 2, n + 4

The first integer is two times the third, hence:

n = 2(n + 4)

2n + 8 = n

n = -8

Thus:

n = -8

n + 2 = -8 + 2 = -6

n + 4 = -8 + 4 = -4

The integers are -8, -6 and -4.

To learn more about system of equations, you can take a look at brainly.com/question/26650649

6 0
2 years ago
Read 2 more answers
Simplify: (3x2y) · (5x3y2)
TiliK225 [7]

Answer:

15x^5*y^3

Step-by-step explanation:

6 0
3 years ago
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