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Radda [10]
4 years ago
6

You are riding your bike and notice the square sign above. You mentally draw a straight line from point A to C.

Mathematics
1 answer:
svlad2 [7]4 years ago
8 0

1. The angles DCA and BCA are the same.

2. Angles DCA and BCA are not supplementary. Since the both of them add up to 90° (we know that angle c is equal to 90° because in a right square all angles are 90°) the angles would be complementary, not supplementary. Supplementary angles add up to 180°

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4 cups of pure water are added to a 20 cup bowl a punch
mojhsa [17]
Um that would be 24 cups 
5 0
4 years ago
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A cone with height h and radius r has volume V = 13πr^2h. If the cone has a height of 6 in. and volume V = 8πx^2 + 24πx + 18π, w
torisob [31]

ANSWER

r = x -  \frac{3}{2}

EXPLANATION

The volume of the cone is

V=8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi

The height of the is 6 inches.

We put the values into the volume of cone to get.

8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi =  \frac{1}{3} \times  \pi \:  {r}^{2}  \times 6

8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi = 2 \pi \:  {r}^{2}

Divide through by 2π.

4 {x}^{2}  + 12x + 9 = {r}^{2}

The expression on the LHS is a perfect square trinomial.

( {x -  \frac{3}{2} })^{2}  =  {r}^{2}

r = x -  \frac{3}{2}

5 0
4 years ago
Read 2 more answers
PLEASE HELP! A student says that the measures of coterminal angles are never opposites of each other. Is the student correct? Ex
garri49 [273]

The student is not correct. For angles to be coterminal, the difference between their measures must be a multiple of 360°. The difference between 180° and –180° is 360°. Angles with measures 180° and –180° are coterminal.

7 0
3 years ago
Read 2 more answers
A 75% increase followed by a 50% decrease​
stiv31 [10]

Answer:

12.5% decrease

Step-by-step explanation:

Let X be the initial value

75% increase is 175% of X

= 1.75X

50% decrease = 0.5

0.5(1.75X)

0.875X (less than X, so decrease)

87.5% of X

100 - 87.5 = 12.5% decrease

7 0
3 years ago
Annual interest rate of $400 over 2 years with interest of $24
Burka [1]

Answer:

592 Dollars = after starting from 400 dollars at a annual interest rate compounded at 24%.

Step-by-step explanation:

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 24%/100 = 0.24 per year.

Solving our equation:

A = 400(1 + (0.24 × 2)) = 592

A = $592.00

The total amount accrued, principal plus interest, from simple interest on a principal of $400.00 at a rate of 24% per year for 2 years is $592.00.

7 0
3 years ago
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