Question 22 of 43
A circle is sliced into 16 pieces and rearranged into a shape that looks like a
parallelogram. The dashed line indicates the base of the shape. Which
statement is correct?
A. The base of the parallelogram is approximately equal to the radius
of the circle
O B. The base of the parallelogram is approximately equal to the
circumference of the circle,
C. The base of the parallelogram is approximately equal to the
diameter of the circle.
D. The base of the parallelogram is approximately equal to half the
circumference of the circle.

Answer:

Approximately 8.5 feet

Explanation:

Using Pythagorean Theorem we can say:

6² + 6² = Diagonal²

36 + 36 = Diagonal²

72 = Diagonal²

[tex]\sqrt{72}[/tex] = Diagonal

8.49 (if rounded to the nearest tenths it would be 8.5) = Diagonal

Hope this helps!

Answer: 21 m

Step-by-step explanation:

Given

the angle of depression of point G is [tex]25^{\circ}[/tex]

Distance from pole base to point G is 45 m

Suppose h is the height of the pole

From the figure, we can write

[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]

Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:

[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]

Answer:

9

Step-by-step explanation:

the triangle is right angle.

at right angle it makes 90°. therefore;

(3d+1)°+(6d+8)°=90°

3d+1°+6d+8°=90°

9d+9°=90°.

9d=90°-9°

9d=81°

d=81/9

d=9°

Answer:

25.7, hope this helps

Step-by-step explanation:

Answer:

15 + 7c or 15 + 7 * c

Hope this helps!

Answer:

a) $1961

b) $710

c) $2671

Step-by-step explanation:

Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month

Condo fees: $525/month

Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month

Water bill is quarterly, so 210/3 months. 210/3 = $70/month

a) housing expenses = mortgage, taxes, condo fees

1436 + 525 = $1961

b) utilities = electricity and water

640 + 70 = $710

c) all expenses listed

1961 + 710 = $2671

Answer:

square root 6

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

Step-by-step explanation:

write a formula that models this.

9.30x = money earned

If he works 2 hours, he'll get $9.30 times (2)

and so on. so you write and solve

9.30(1), 9.30(5), 9.30(8)

for the second part you want to substitute 180 for the amount earned which will become

9.30x = 180 then you solve for x

Answer:

1 < x

Step-by-step explanation:

We have to used same order of operations just as we would in an equation;

15 > -x + 16

=> First subtract 16 from each side

-1 > -x

=> To bring x to positive, divide each side by -1 (Since we are dividing by a negative value, the inequality sign will switch)

Therefore the answer is: 1 < x

Hope this helps!

Answer:

15>-x+16

-1>-x

1<x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

A. The others are equivalent to 7/8

============================================================

Explanation:

Each side of the square is the same, so we have length = width in this case.

Length = 3m^4

Width = 3m^4

Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8

Note how m^4*m^4 leads to m^8. We add the exponents.

The general rule is a^b*a^c = a^(b+c).

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

Assuming parallel lines, the two angles marked with measures are complementary to each other.

  45° +(5x +35°) = 180°

  5x = 100° . . . . . . . . . . . . subtract 80° from both sides

  x = 20° . . . . . . . . divide by 5

_____

Comment on the geometry

Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. Of course, the acute angles and obtuse angles are linear pairs, hence supplementary. (The only time this won't apply is when all angles are right angles.)

No lines are marked as parallel here, nor does any part of this problem statement say there are parallel lines. So, we cannot find the value of x if we're going strictly by what is shown in the diagram. In the absence of any information, we can only say that the angle marked with an x-expression must be between 0° and 180°.

 0 ≤ 5x +35 ≤ 180 ... -35 ≤ 5x ≤ 145 ... -7 ≤ x ≤ 29.

Answer:

the correct answer is D 175

Answer:

[tex]A\simeq3325.91[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2500

[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]

t = 5

n = 4 (quarterly in a year)

Then,

[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]

Answer:

Step-by-step explanation:

Answer:

D

Answer:

Either A or D

Step-by-step explanation:

I got It right Hope it helps this you guys

Answer:

30 mins

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

12=100+0.3x

-100  -100                        subtract 100 both side

-88=0.3x                 divide -88 into 0.3

x=-293.3

Answer:

I think is C I hope is right

The correct expressions which are equivalent to the one below is,

⇒ 0

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ log 1 × log 81

Now, We know that;

⇒ log 1 = 0

Hence, The correct expressions which are equivalent to the one below is,

⇒ log 1 × log 81

⇒ 0 × log 81

⇒ 0

Thus, The correct expressions which are equivalent to the one below is,

⇒ 0

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

[tex]3 \times \frac{4}{9} p + 5[/tex]

Answer:

0.51 and 11.24 seconds.

Step-by-step explanation:

The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:

[tex]h(t)=188t-16t^2[/tex]

And we want to find all values of t for which the rocket's height is 92.

So, we can set h(t) = 92 and solve for t:

[tex]92=188t-16t^2[/tex]

We can divide everything by four:

[tex]23=47t-4t^2[/tex]

Rearrange the equation:

[tex]4t^2-47t+23=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 4, b = -47, and c = 23. Substitute:

[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]

So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.

Answer:

It is 6,4 or 4,6

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

100-86 is 14

14percent passed so it is 84