1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
STALIN [3.7K]
3 years ago
5

Full steps and all reasons, thanks!​

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

You can focus on the two sub-triangles ABC and ACD

We know that they are both right triangles, because we're given that AC and BD are perpendicular.

The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:

AD^2 = AC^2+CD^2

AB^2 = AC^2+BC^2

But since we're given BC=CD, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.

You might be interested in
Mr. Horn had a sheet of plywood that measured 84 inches long and 65 inches wide. He sawed th sheet of plywood in half. What was
Fofino [41]
Draw a rectangle with one side equal to 84 in. and the other side equal to 65 in. We know that area = l*w, so the area of the rectangle is 5,460 sq. in. Since Mr. Horn cut the piece of plywood in half, he produces two identical pieces of plywood, with half the amount of area as the original. So, 5,460 sq. in. divided by 2 = 2,730 sq. in. 
7 0
3 years ago
I need help with a question ​
Gemiola [76]

Answer:

What question?

Step-by-step explanation:

7 0
3 years ago
Find point P that divides segments AB into a 2:3 ratio.
nasty-shy [4]
\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
\\\\\\
\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
-------------------------------\\\\
P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)

\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 1)+(2\cdot 5)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-9+6}{5}~~,~~\cfrac{3+10}{5}  \right)\implies P=\left(-\frac{3}{5}~~,~~\frac{13}{5}  \right)
6 0
3 years ago
Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0
3 years ago
4. Kenneth needs to repaint a wall in his bathroom. The wall is 8 feet high and 14 feet long. Part of
AlexFokin [52]

Answer:

96 * 144 - 168 * 42

Step-by-step explanation:

So the area of the wall is 96 * 144

And the area of the tiled part is 168 * 42

So it would be 96 * 144 - 168 * 42

7 0
3 years ago
Other questions:
  • the first sail has one side of length 9 feet and another length 6 feet. Determine the range of possible lengths of the third sid
    6·2 answers
  • Find the Distance between the points (-6,5)and(8, -3)
    10·1 answer
  • A random sample of 100 people from Country S had 15 people with blue eyes. A separate random sample of 100 people from Country B
    5·2 answers
  • NEED THE ANSWER ASAP
    10·1 answer
  • Please Answer! - Image attached<br><br> Write the inequality shown by the graph below.
    5·1 answer
  • Draw and label a coordinate plane, including the four quadrants and the positive or negative values of x and y in each quadrant.
    11·2 answers
  • Write a polynomial function given the zeros 5, 6+2i, and 6-2i and passes through the point (2, 64)
    15·1 answer
  • 0.009 ÷ 0.08 please help me I forgot how to divide decimals
    5·1 answer
  • Divide the number of meters by to find the number of laps
    13·1 answer
  • Jessica sells 50.5 ounces of lemonade for a total of 20.20.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!