All categories

3 years ago

What happens as the triangle goes from obtuse to acute

Mathematics

1 answer:

jeka57 [31]3 years ago

7 0

Answer: the degree will go down 90 degrees

Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.

You might be interested in

A guy has a mix of one, five, and ten dollar bills. There are 27 bills in a jar for a total of $91. There are four times as many

olchik [2.2K]

Answer:

There are 7 five dollar bills in the jar.

Step-by-step explanation:

There are 7 because 16 + y + 4 = 27 → 20 + y = 27 → y = 7

3 0

3 years ago

Which number represents "nine and eighty-one thousandths?"

Lemur [1.5K]

Answer:

9.081

Step-by-step explanation:

Chow,...!

3 0

3 years ago

Read 2 more answers

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

3 years ago

Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2, from x=-1 to x=1

borishaifa [10]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2 \qquad 
\begin{cases}
x_1=-1\\
x_2=1
\end{cases}\implies \cfrac{f(1)-f(-1)}{1-(-1)}
\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
\\\\\\
\cfrac{-1+11}{2}\implies \cfrac{10}{2}\implies 5$

6 0

3 years ago

A scale model of a tower is 24 inches tall and 18 inches wide. If the height of the actual tower is 60 feet, what is its width?

meriva

Answer:

The actual tower would be 45 ft wide.

Step-by-step explanation:

In order to find the width, we need to determine the scale factor. We can do that by dividing the actual height by the model height.

60ft:24in = 15ft:6in = 2.5ft:1in

Now we use that scale factor to determine the width. Multiply the scale factor by the width of the model.

18 inches * 2.5ft/in = 45 feet

6 0

3 years ago