True or False
The radius of the circle is congruent to the radius of an inscribed regular polygon inside the circle.

Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Step-by-step explanation:

Answer:

3 : 7

Step-by-step explanation:

24/56 = 3 / 7

Answer:

3:7 helpful answer to your question have a nice evening

Answer:

y is 8/5 when x = -4.

Step-by-step explanation:

If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.

If "y=-8,when x=20," then we can find k:    -8 = 20k, or k = -2/5.

Then y = (-2/5)x.

If x = -4, then y = (-2/5)(-4) = 8/5

y is 8/5 when x = -4.

Answer:

Step-by-step explanation:

1) the maximum value of f(x) = –|x – 4| – 5 is -5 when x = 4

2) the minimum value of f(x) = x2 – 2x +­ 1 is  0 when x = 1

Answer: [tex]17.4\ \text{miles}[/tex]

Step-by-step explanation:

Given

A plane has traveled 26 miles on a course heading [tex]48^{\circ}[/tex] east of north

Taking the component of travel in North direction

The distance traveled in North is given by with the help of figure

[tex]\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}[/tex]

Answer:

24

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

Answer:

B

Step-by-step explanation:

mulitiply by 2

Answer:

B (HI/GI)

Step-by-step explanation:

Remember Soh Cah Toa.

Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.

Answer:

Step-by-step explanation:

648 I think

Answer:

[tex]x = 145[/tex]

Step-by-step explanation:

1.Approach

To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.

Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.

It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).

2. Find the measure of two angles in the triangle

The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,

[tex]x+(unknown)=180[/tex]

Solve for unknown,

[tex]unknown = 180 - x[/tex]

One can also state,

[tex]170+(unknown_2)=180[/tex]

Solve for the unknown,

[tex]unknown_2=10[/tex]

3.Find the degree measure of one of the angles in the octagon

The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.

The formula to find the sum of interior angles in a polygon is as follows,

[tex]S=180(n-2)[/tex]

Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,

[tex]S=180(n-2)\\\\S=180(8-2)[/tex]

Simplify,

[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]

Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.

[tex]1080[/tex] ÷ [tex]8 = 135[/tex]

4. Find the measure of the final angle in the triangle

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.

5. Find the meausre of (x)

The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,

[tex](180-x)+(10)+(135)=180[/tex]

Simplify,

[tex]325-x=180[/tex]

Inverse operations,

[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.

Answer:

4/10 + 5/100=  9/20

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

reduce the fraction with 2

4/10+5/100

2/5+5/100

2/5+1/20

write all numerators above the least common denominator 20

8+1/20

8+1=9

9/20

Answer:

x = ~33.77

Step-by-step explanation:

divide .77 on both sides.

x = 26/0.77 = 33.766234 rounded to the nearest hundredth is 33.77.

lets check our answer by plugging it in:

33.77 * 0.77 = 26.0029 which is close enough

Answer: 17

Step-by-step explanation:

3(x+1)2=108

Distribute the 3 first: (3x+3)2=108

Then divide by 2 on both sides: 3x+3= 54

Subtract 3 from both sides: 3x=51

Divide by 3 on both sides: x=17

Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

A method of dividing something into equal parts is called division.

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

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Answer:

8x = 75 + 5x

where x = length of one brick

25cm

Step-by-step explanation:

Answer:

La torre tiene 543.78 pies de altura.

Step-by-step explanation:

Podemos pensar en esta situación como si fuera un triángulo rectángulo, donde el cable es la hipotenusa y la torre es uno de los catetos. (Abajo se puede ver un dibujo de esta situación).

Nosotros queremos encontrar el valor de H, que es el cateto opuesto al ángulo conocido de 65°.

Entonces simplemente podemos usar la relación:

Sin(θ) = (cateto opuesto)/(hipotenusa)

donde:

cateto opuesto = H

θ = 65°

hipotenusa = 600 ft

sin(65°)  = H/600ft

sin(65°)*600ft = H = 543.78 ft

La torre tiene 543.78 pies de altura.

Answer:

geomatric

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

The difference between terms is constant

[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]

[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]

[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]

Answer:

[tex]\text{C. }1.3[/tex]

Step-by-step explanation:

The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].

What we're given:

Substituting given values, we get:

[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]

Answer:

9

Step-by-step explanation:

Do it left from right.

[6+-7]-(-8)+4-2

[-1-(-8)]+4-2=[-1+8]+4-2

[7+4]-2

11-2

9

I don't know Spanish/what laugnange you speak sorry.

Answer:

1 x (4 x 2) = 8

Step-by-step explanation:

1 x (4 x 2) = 8

Answer: answer is c pls mark me brain

Step-by-step explanation:

The expression 4g⁶+16+16g³ is equivalent to expression  (2g³+4)²

An expression is combination of variables, numbers and operators.

The given expression is (2g³+4)²

We have to find the equivalent expression of the given expression

Equivalent expressions are expressions that work the same even though they look different

We know that (a+b)²=a²+b²=2ab

(2g³+4)² = (2g³)² + 4² +2.2g³.4

=4g⁶+16+16g³

Hence, the expression 4g⁶+16+16g³ is equivalent to expression  (2g³+4)²

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Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

Answer:

78.5

Step-by-step explanation:

The radius of the circle is 25 so youu multiply that by 3.14

25*3.14=78.5

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]

Therefore, the required point is located as follows;

[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]

The coordinates of the point is (0, -4)

Answer:

44

Step-by-step explanation: