a punch bowl contains 58 fluid ounces of fruit juice. Ishmat adds 2 containers of lemonade to the bowl. Each container holds 6 fluid ounces of lemonade.
How much liquid is in the punch bowl after Ishmat adds the lemonade?
46 fl oz
64 fl oz
66 fl oz
70 fl oz

Answer:

B.  Opposite sides are parallel.

Step-by-step explanation:

This is the definition of a parallelogram.

The other 3 conditions may or may not be true.

Opposites sides are parallel is always a property of a parallelogram.

" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."

According to the question,

As per the properties of parallelogram we have,

Hence, Option (B) is the correct answer.

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Answer:

Late because 12 were on time so 5 would be late

Answer:

D

Step-by-step explanation:

3s = 8s - 5s

8s = 8s

s = 0, 1, 2, 3.......

so infinite solutions

D)

Given equation:

To simplify this equation, we need to isolate the variables on one side of the equation and the constants on the other side of the equation. To do this, we can simplify the R.H.S as like terms can subtract.

⇒ [tex]3s = 8s - 5s[/tex]

⇒ [tex]3s = s(8 - 5)[/tex]

⇒ [tex]3s = s(3) = 3s[/tex]

⇒ [tex]3s= 3s[/tex]

Since both sides of the equation are the same, this system of equations has infinite solutions.

We can check our answer by substituting the value of "s" into the equation. As a result, you will see that many values of "s" are satisfying the equation. Thus, Option D is correct.

Answer:

10 or 6

Step-by-step explanation:

pls tell me if im wrong

Answer:

73.4

Step-by-step explanation:

The lengths of the tangent segments drawn from an external point to a circle are equal.

**Please refer to the attached annotated diagram - each pair of equal lengths is a different color**

Perimeter = (2 x 14) + (2 x 9) + (2 x 13.7)

                = 28 + 18 + 27.4

                = 73.4

Answer:

6738752.62

Step-by-step explanation:

1,455.8 x 4,628.9=6738752.62

Answer:

6738752.62

hope this helps

Answer:

-36

Step-by-step explanation:

6^2+(y-x)

=>                 6^2+[-77 - (-5)]

=>                 6^2+[-77+5]

=>                 6^2+(-72)

=>                 36+(-72)                            [6^2 = 36]

=>                 -36

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Hello-

6² + (y - x) is our equation. And wonder of wonders, our x and y values are given! What a beautiful thing, having both given to us.

x = -5

y = -77

Let's plug our given values into our equation for x and y. Like so-

6² + (y - x) becomes 6² + (-77 - (-5))

In math, we must do whatever operations are contained within parentheses first and foremost. So we must subtract -5 from -77. That, by the way, equals -72.

6² + -72

Now we do our exponents, or powers.

6² = 36

36 + -72

Now we do the easiest part - adding.

32 + -72 = -36

So the answer to this problem (if I've done my algebra correctly) is -36.

Hope this helps.

Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]

[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

A geometric sequence is any sequence that has a common ratio and a non-zero initial value

The sequence 2, 6, 18, 54, ..... is a geometric sequence

A geometric sequence is represented as:

Tn = ar^(n - 1)

Where:

Assume that:

a = 2 and r = 3.

The terms of the sequence would be:

T1 = 2 * 3^0 = 2

T2 = 2 * 3^1 = 6

T3 = 2 * 3^2 = 18

T4 = 2 * 3^3 = 54

So, we have:

2, 6, 18, 54, .....

Hence, the sequence 2, 6, 18, 54, ..... is a geometric sequence

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Answer:

6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.

= 29/6 ×4

=29/3 ×2

=58/3

=19(1/3)

Answer:

b = 4 mm

Step-by-step explanation:

[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]

Hope this helps

Answer:

The missing leg measures b = 4 millimeters in length.

Step-by-step explanation:

The Pythagorean theorem should be used to find the missing leg measure.

The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.

Let's use the Pythagorean theorem now that a = 3 and c = 5.

a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.

3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.

9 + b^2 = 25

b^2 = 16 - Take 9 off both sides or subtract.

square root of b^2 = square root of 16 - Take the square root of both sides of the equation.

b = 4 - Simplify

The missing leg measures b = 4 millimeters in length.

Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.

5 = 60 and 7=120. 60+120=180

The area of the trapezoid, to the nearest whole number is: D. 8 units²

Area of trapezoid = 1/2(a + b)h, where:

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

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Answer: 234 degrees

Step-by-step explanation:

Angle formed by a chord and a tangent has half the measure as the arc formed by the chord

The value of measure of arc DEF is,

⇒ 234 degree

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Hence, We know that;

The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.

Thus, The value of measure of arc DEF is,

⇒ 2 x 117 degree

⇒ 234 degree

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Answer:

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

an = a1 + f × (n-1)

an= 17+4 x (30-1)

an= 17+4 x 29

an= 17+116

an=133

Answer:

okay so i think the length of CD is 16cm

Answer:

I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.

Answer:

210 i hope i helped you with this question

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:

2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:

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Answer:

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Step-by-step explanation:

Answer:

2512

Step-by-step explanation:

Formula=πr^2/2

(3.14×40×40)/2

=2512

Answer:

[tex]\displaystyle 1\frac{1}{10}n[/tex]

Explanation:

Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.

I am joyous to assist you at any time.

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

#a

Perimeter=Sum of sides

#b

Area:-

Answer:

Perimeter = 1436.3 m (nearest tenth)

Area = 94641.0 m² (nearest tenth)

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides.

[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]