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3 years ago

In the figure, BC is a support for the roof of a garage. What is the length of BC?

Mathematics

1 answer:

Sonbull [250]3 years ago

4 0

Answer:

Bc = √63 ft

Step-by-step explanation:

Here, we want to get the length of BC

As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side

So we want to get the third leg which is BC

we can use the Pythagoras’ theorem here

And that states that the square of the hypotenuse equals the sum of the squares of the two other sides

let the missing length be x

12^2 = x^2 + 9^2

144 = x^2 + 81

x^2 = 144-81

x^2 = 63

x = √63 ft

You might be interested in

Twice a number x increased by 10 is 52

musickatia [10]

Answer:

x = 21

Step-by-step explanation:

the equation is 2x + 10 = 52

2x = 42

x = 21

4 0

3 years ago

PLEASE HELP!!!!!

Ne4ueva [31]

Answer:

Equation: $30=2(x-2)+2(2x+3)$

$x:\frac{14}{3}$

Step-by-step explanation:

By definition, the perimeter of a figure can be calculated by adding the lenghts of its sides.

Knowing this, you can write the following equation:

$P=2(x-2)+2(2x+3)$ [Equation 1]

According to the data given in the exercise, the perimeter in feet of the fighter is:

$P=30$

Therefore, you can substitute this values into [Equation 1]:

$30=2(x-2)+2(2x+3)$

Finally, you must solve for "x" in order to find its value. This is:

$30=6x+2\\\\30-2=6x\\\\\frac{28}{6}=x\\\\x=\frac{14}{3}$

3 0

3 years ago

Find the degree of the polynomial 7a3b2 – 2a4 + 4b – 15 Degree

vesna_86 [32]

When ur polynomial has more then one variable....and this one does...the degree is the highest term degree

7a^3b^2 ....this term has a degree of 5
2a^4...this term has a degree of 4
4b....this term has a degree of 1
15....this term has a degree of 0

so the highest degree term has a degree of 5....so that is the degree of this polynomial.

now if u just had 1 variable, the degree would be the highest exponent

3 0

4 years ago

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How m

exis [7]

Answer:

a) Write a let statement below to define your variable(s):

Let the number of fishes Ms. Montesinos has be represented by = f

b) Set up an equation using the variable you defined in (a):

The equation is :

3f - 2 = 13

c) Solve your equation & Check. How many fish does Ms. Montesinos have?

Ms. Montesinos has 5 fishes

Step-by-step explanation:

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?

a) Write a let statement below to define your variable(s):

Let the number of fishes Ms. Montesinos has be represented by = f

b) Set up an equation using the variable you defined in (a):

We are told in the question:

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has.

Therefore,

3× f - 2 = 11 + 2

The equation is :

3f - 2 = 13

c) Solve your equation & Check. How many fish does Ms. Montesinos have?

Solving the above equation:

3f - 2 = 13

3f = 13 + 2

3f = 15

Divide both sides by 3

3f/3 = 15/3

f = 5

Hence, Ms. Montesinos has 5 fishes

4 0

3 years ago

A rectangle prism has a length of 3 1/2 inches a width of 5 inches and height of 1 1/2 inches what is the volume

vivado [14]

Answer:

Step-by-step explanation: I hope that helps you.

4 0

3 years ago