Acute Lines that never intersect Right An angle that is more than 180°, less than 360° Obtuse An angle that is more than 0°, less than 90° Straight Intersecting lines that form 90° angles Reflex Measures exactly 90° Parallel An angle that is more than 90°, less than 180° Perpendicular Measures exactly 180° find their partner.

Answer:

The unit rate is 35 miles per hour

Step-by-step explanation:

Answer:

[tex]BD = 30[/tex]

Step-by-step explanation:

Given

[tex]AB = 17[/tex]

[tex]AC = 16[/tex]

See attachment

Required

Find BD

If AC = 16, then:

[tex]AO = 16/2[/tex] i.e. half the diagonal AC

[tex]AO = 8[/tex]

The diagonals of a rhombus are perpendicular.

This implies that we can apply Pythagoras theorem.

Using Pythagoras theorem on triangle AOB, we have:

[tex]AB^2 = AO^2 + OB^2[/tex]

[tex]17^2 = 8^2 + OB^2[/tex]

[tex]289 = 64 + OB^2[/tex]

Collect like terms

[tex]OB^2 = 289 - 64[/tex]

[tex]OB^2 = 225[/tex]

Take positive square roots of both sides

[tex]OB = 15[/tex]

To solve for BD, we use:

[tex]OB = \frac{BD}{2}[/tex] --- i.e. half the diagonal BD

[tex]BD = 2 * OB[/tex]

[tex]BD = 2 * 15[/tex]

[tex]BD = 30[/tex]

You would use this formula for the problem...

(C=2πr) The circumference equals 2 multiplied by pi and radius.

In this problem it says diameter, but the diameter is just twice the length of the radius, so just multiply the radius by 2. Plugin your number.

C=2π(2) since 2 is half of 4, that's your radius.

Your answer is roughly C= 12.57.

You're welcome.

first we will find angle BED = 180 - 49 = 131 degrees

then find angle BDE = 90 - 64 = 26

then subtract the sum of both from 180

180-26+131=23 degrees

Answer:

x = 3/2 + y/2

Step-by-step explanation:

:)

Answer:

C: -7/8

Step-by-step explanation:

It makes the whole fraction negative just like the one you are comparing it to

Answer:

C

Step-by-step explanation:

there are 2 vowels in the 8 letters

so

2/8 but simplify it and 1/4

Answer: adults = $10

Step-by-step explanation:

x = adults

y = children

2x + 2y = 30

2x + 3y = 35

Using the elimination method:

2x + 2y = 30

-2x - 3y = -35 (multiplied by -1, to give 2x -2x = 0)

Solve for y...

2y = 30

-3y = -35

Add together...

-y = -5

Multiply by -1 to give positive value for y...

y = $5

Plug into one of the original equation to find x...

2x + 10 = 30

2x = 20

x = $10

Answer:

1/4

Step-by-step explanation:

First, you add all the marbles together to make the total. 6 + 5 + 4 + 9 = 24.

Then, make 6 the numerator and 24 the denominator. [tex]\frac{6}{24}[/tex]

Next, simplify. [tex]\frac{6}{24}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

Lastly, have a wonderful day! :)

Answer:

THEN ANSWER I BELIVE IS A bc if mutiply them the marbles u mutiply AND YOULL GET 2 5/7

Step-by-step explanation:

Answer: The correct identities are: 1 + tan^2x = sec^2x 1 + cot^2x = csc^2x sin^2x + cos^2x = 1 which correspond to B and D

Step-by-step explanation:

T////T

im ok at math if its wrong im sorry T^T

Answer:

A, B, C, and D.

Yeah, I bet you didn't see this one coming.

Hope this helps!

Answer: Trinomial

Step-by-step explanation: This expression has 3 terms (2a^2, -5a, and 7), so it is a trinomial. An easy way to remember this is that 'tri' = 3, 'bi' = 2, and 'mono' = 1. Hope this helped :)

Answer:

Since each card is about $1, the total cost is approximately 3 × 1 = $3.

Step-by-step explanation:

So 3 x 1 = 3

1 > 0.97

0.97 x 3 ≈ 2.91 which if rounded to the nearest WHOLE number it would be approximately 3$

Hope this helps!

Answer:

a) $3.50

b) 2,500 cups

c) $6,250

Step-by-step explanation:

a) The number of cups of coffee the student sells, n = 2,000 cups

The price at which the student sells the coffee, P = $4.0

The number of extra cups sold for every $0.1 reduction in price = 100 cups

The cost of making one cup of coffee, C = $1.0

Let 'x' represent the set charge for a cup of coffee, we get;

The number of cups, nₙ = 2,000 + 100 × (4.0 - x)/0.1 = 6,000 - 1,000·x

Therefore, the revenue is given as follows;

Revenue, R = x × (6,000 - 1,000·x) = 6000·x - 1,000·x² = 1,000·(6·x - x²)

The cost, C = 1 × 6,000 - 1,000·x = 6,000 - 1,000·x

The profit, P = Revenue - Cost

∴ Profit = 6000·x - 1,000·x² - (6,000 - 1,000·x) = 7,000·x - 1,000·x² - 6,000

Profit, P = 7,000·x - 1,000·x² - 6,000 = 1,000 × (7·x - x² - 6)

At the maximum profit, we have; , we have;

dP/dx = 0

∴ dP/dx = d(1,000 × (7·x - x² - 6))/d

dR/dx = 1,000·d(7·x - x² - 6)/dx = 1,000 × (7 - 2·x) = 0

x = 7/2 = 3.5

The price that gives the maximum profit, x = $3.50

Therefore, the amount the student center should charge for a cup of coffee to maximize profit, x = $3.50

b) We have;

The number of cups, n = 6,000 - 1,000 × 3.5 = 2,500

The number of cups of coffee the student center sells at the price that gives the maximum profit, n = 2,500 cups

c) The maximum profit, [tex]P_{max}[/tex] = 1,000 × (7 × 3.5 - 3.5² - 6) = 6,250

The maximum profit, [tex]P_{max}[/tex] = $6,250.

Answer:

518

Step-by-step explanation:

LxWxH

9*8*11

518

Answer:

1/2

Step-by-step explanation:

reduce the numbers with the greatest common factor 5

1/5×5 1/2

1/2

Answer:

this is the answer hope it helps

Answer:

The other integer is less than -80

Step-by-step explanation:

The given sum of the two integers < -57

The value of one of the integers = 23

Let 'b' represent the value of the other integer, we are given;

b + 23 < -57

Therefore, we have;

b < -57 - 23 = -80

Therefore, the other integer, b < -80.

Answer:

If you change the order of the numbers when adding or multiplying, the result is the same. Use the commutative properties to rewrite the following expressions: Use the commutative property of addition to change the order. Use the commutative property of multiplication to change the order. Use the commutative properties to rewrite the following:

Step-by-step explanation:

Answer:

22in.^2

Step-by-step explanation:

Area of a triangle formula is A= b*h* 1/2

(b= base  h= height)

the base is 8

the height is 5 1/2

8*5 1/2

----------

  2

5  1/2 = 5.5

8* 5.5 = 44

44/2 = 22

Answer:

Typically, volume is used to measure the capacity of a container/bottle/etc. It is used alongside measurements for liquids, like mL or L.

Step-by-step explanation:

Answer:

Let me give you an example of a segment addition problem that uses three points that asks the student to solve for x but has a solution x = 20.

First, I assumed values for each x, y and z and then manipulated their coefficients to get the total at the end of each equation.

20 + 10 +30 = 60

40 + 0 + 40 = 80

40 + 10 = 50

Then exchangeing these numbers into values and we have the following equation.

x + 2y + 3z = 60

2x + 4z = 80

2x + z = 50

If you will solve them manually by substituting their variables into these equations, you can get

x = 20

y = 5

z = 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

-7r - 5

Hope that helps! :)

-Aphrodite

Answer:

-7r - 5

Step-by-step explanation:

3r - 7 and -10r + 2

*remember that you can only combine the like terms

3r - 10r = - 7r

-7 + 2 = -5

Final Answer: -7r - 5

Answer:

bro use the dang fromula

Step-by-step explanation:

L*W=A divided by 2

Answer:

324in2

Step-by-step explanation:

A=bxwxh (basexwidthxheight)

A=4.5x6x12=324

A=324in2

Answer:

306

Step-by-step explanation:

hope this helps

Answer:

5:15 pm is the answer for the question

Answer:

6 and 2/8 or reduced to 6 and 1/4

Step-by-step explanation: