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Marizza181 [45]

3 years ago

15

Triangle ABC is a right triangle . The length of one leg is 28 feet, & the length of the hypotenuse is 53 feet . What is the

length of the other leg ?

1 answer:

valkas [14]3 years ago

5 0

The length of the other leg is 45

A^2+b^2=c^2
Plug the numbers in and square them
784+ b= 2809
-784 -784

Subtract 784 from both sides and
Take the square root of 2025 which is 45

Hope this helps!

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For each pair of similar triangles find the ratio of two side lengths. How do the ratios compare

UkoKoshka [18]

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.Step-by-step explanation: ratios

5 0

2 years ago

A triangle has a length of 6cm,8cm,and 10cm what is the area of this triangle in cm cubed

notsponge [240]

Answer: 24 cm^2 (24 centimeters squared)

Step-by-step explanation:

6^2 + 8^2 = 36 + 64 = 100 = 10^2

(1/2)*6*8 = 24 cm^2.

8 0

3 years ago

4 x 3 =<br> Known fact: 2 X 3 =<br> Double the product: 6 + 6 =

gulaghasi [49]

Answer:

4×3= 12

2x3=6

6+6=12

Is this what you are asking for?

4 0

3 years ago

The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

3 years ago

What is the value of the 8 in the number 2.387

tamaranim1 [39]

Answer:

Step-by-step explanation:

If the point represents decimal, the position of number 8 is

hundredth.

But if represents Thousands the position of number 8 is

tens

6 0

3 years ago

Read 2 more answers