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3 years ago

Classify the following triangle as acute, obtuse, or right

Mathematics

2 answers:

Hoochie [10]3 years ago

6 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Once the triangle has all angles less than 90 degree, is called Acute triangle.

Once the triangle has one angle more than 90 degree, is called Obtuse triangle.

Once the triangle has one angle equal to 90 degree, is called Right triangle.

So, the given triangle has its angle 55, 55, 70.

Each angle is acute angle, so the triangle is Acute triangle. : Answer

Hope it will help :)

777dan777 [17]3 years ago

4 0

Acute.........................

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4 years ago

Consider Statement A and Statement B below:

wlad13 [49]

Answer:

These two statements are equivalent because statement A is the contrapositive of statement B.

Step-by-step explanation:

In logic, when we have an "if" statement we can have its contrapositive or its converse.

Given a "if p, then q" (p is the hypothesis and q is the conclusion), the converse is "if q, then p", in other words, we interchange the hypothesis and the conclusion.

Now, given a "if p, then q", the contrapositive is "if not q, then not p". In other words, we take the negation of both the hypothesis and the conclusion and then we interchange them.

Now, let's take a look at our statements:

If a and b are two real numbers, and if ab = 0, then either a = 0 or b = 0.

In this case:

p = a and b are two real numbers and ab=0

q = either a = 0 or b = 0

Now, let's take the negative of p and q:

The negative of p would be: a and b are two real numbers and their product is not zero.

The negative of q would be: neither of the two real numbers is zero

Now, given than the contrapositive is "if not q, then not p" we would have:

If neither of two real numbers is zero, then their product is not zero.

We can see that this last sentence is the contrapositive of the first one and thus:

These two statements are equivalent because statement A is the contrapositive of statement B.

3 0

3 years ago

The steps needed to find the slope

Degger [83]

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7 0

4 years ago

A pole that is 3.5m tall casts a shadow that is 1.47m long. At the same time, a nearby tower casts a shadow that is 42.75m long.

Stells [14]

Answer:

The height of the tower nearby the pole is 102 m.

Solution:

Given,

Height of the pole = 3.5 m

Length of the shadow of the pole = 1.47 m

Length of the shadow of the tower nearby = 42.75 m

Let us assume the height of the tower as x

$\frac{height of the pole}{length of the shadow of the pole}=\frac{height of the tower}{length of the shadow of the tower}$

$\frac{3.5}{1.47} = \frac{x}{42.75}$

On solving for x we get,

$x = \frac{3.5}{1.47}\times 42.75$

$x = 101.785 m$

On rounding off to the nearest meter we get,

x=102 m

$\therefore$ The height of the tower is 102 meter.

7 0

3 years ago

The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?

joja [24]

Answer:

$b=-12$

Step-by-step explanation:

we have

$f(x)=x^{2}+bx+10$

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to $x=h$

In this problem we have the axis of symmetry $x=6$

the x-coordinate of the vertex is equal to $6$

therefore

For $x=6+1=7$ -----> one unit to the right of the vertex

Find the value of $f(7)$

$f(7)=7^{2}+b(7)+10$

$f(7)=59+7b$

For $x=6-1=5$ -----> one unit to the left of the vertex

Find the value of $f(5)$

$f(5)=5^{2}+b(5)+10$

$f(5)=35+5b$

Remember that

$f(5)=f(7)$ ------> the x-coordinates are at the same distance from the axis of symmetry

$59+7b=35+5b$ ------> solve for b

$7b-5b=35-59$

$2b=-24$

$b=-12$

3 0

3 years ago

Read 2 more answers