Find the Area of the figure below, composed of a rectangle with two semicircles
removed. Round to the nearest tenths place.
16
D). (
Submit Answer
6
attempt 1 out of 2

PLEASE HELP 20 POINTS!!!!!!!

Note that:

• All numbers whose final digit is 0 or an even number are divisible by 2

• All numbers whose final digit is 0 are divisible by 10

• 498 is divisible by 2 but not divisible by 5 and 10

• 151 is not divisible by any of 2, 5, or 10

• 150 is divisible by al of 2, 5, and 10

The complete table is uploaded below

We are looking at what type of variables are given. Let's analyze it one by one to check which one suits it best.

(a) Temperature

Temperature is measured by numbers, hence, this is categorized as a quantitative variable. Temperature does not have a non-finite value since it changes as time goes by, hence, the level of measurement for this type of variable is ratio.

Answer: Quantitative and ratio

(b) Dosage of the medication

The dosage of medication is measured in milligrams, which means we are dealing with numbers, hence, this is a quantitative variable. In the case of dosage, we are dealing with fixed values, hence, the level of measurement for this type of variable is interval.

Answer: Quantitative and interval

(c) Stock exchange

Stock exchanges are types of group variables. These are represented as categories, hence, this variable is classified as categorical. The exchanges are ranked in some specific order. When dealing with categorical variables that have rank order, we have ordinal variables.

Answer: Categorical and ordinal

Since the weight varies directly, we have that

where k is the constant of proportinality.

In order to find k, we can divide both sides by 26.64 and get

which gives

Once we know the constant of proportionallity, we can write

where x denotes the unknown weight on the Moon. Since k is 5.8825, we get

Then, by dividing both sides by 5.8825, we obtain

Therefore, we have

Finally, by rounding to the nearest tenth, the answer is: 36.3 lb

In order to solve the equation for x, we need to look at the side where the variable is, then, we apply the contrary operations to this operation on both sides.

In this case, x is being subtracted by 15, then we need to eliminate this 15 by adding 15 on both sides

Answer:

A. Adding 15 to both sides of the equation

Answer:  (c)  y = −1/3x −2

Step-by-step explanation:

I know it because I looked on brainly .

Answer:

[tex] C = \dfrac{5}{9}(F - 32) [/tex]

Step-by-step explanation:

[tex] F = \dfrac{9}{5}C + 32 [/tex]

Switch sides to have C on the left side.

[tex] \dfrac{9}{5}C + 32 = F [/tex]

Subtract 32 from both sides.

[tex] \dfrac{9}{5}C = F - 32 [/tex]

Multiply both sides by 5/9.

[tex] \dfrac{5}{9} \times \dfrac{9}{5}C = \dfrac{5}{9} \times (F - 32) [/tex]

[tex] C = \dfrac{5}{9}(F - 32) [/tex]

The distance travelled by the plane is 1365 miles.

Given,

Speed of the pane =455 miles per hour

Time taken =3 hours

To find distance covered by the plane use formula,

[tex]speed =\frac{Distance}{Time taken}\\ \\Distance=Speed * time taken\\\\Distance=455*3\\\\Distance=1365 miles[/tex]

Thus, the distance travelled by the plane is 1365 miles.

To learn more about speed refer here

https://brainly.com/question/28947323

#SPJ1

Answer:

70degrees

Explanation:

The diagrammatical representation of the statement is as shown;

Since the sum of angles on a straight line is 180degrees, then;

m8x+2 + 5x = 180

13x + 2 = 180

13x = 180 + 2

13x = 182

x = 182/13

x = 14

Get mmmmHence the measure of m

The correct option C; 4x + y = 21 is the equation combines with the x + 2y = 21 equation to form a system of equations with the solution x = 3 and y = 9.

x + 2y = 21    eq .....(i)

The solutions are x = 3 and y = 9.

Put the values of x and y in equation (i),

3 + 2 × 9 = 21

3 + 18 = 21

21 = 21

Now, evaluate every option by substituting the values.

A. 4x + 6y = 64

Put the values of x and y in equation,

4 × 3 + 6 × 9 ≠ 64

48 ≠ 64

In correct option.

B. 2x + y = 36

Put the values of x and y in equation,

2 × 3 + 9 ≠ 36

15 ≠ 36

Incorrect option

C. 4x + y = 21

Put the values of x and y in  equation,

4 × 3 + 9 = 21

12 + 9 = 21

21 = 21

Correct option.

Thus, equation combines with the x + 2y = 21 equation to form a system of equations with the solution x = 3 and y = 9 is  4x + y = 21.

To know more about the system of equations, here

https://brainly.com/question/25976025

#SPJ1

Let the width of the field = w

∵ The length is four times as the width

∵ The width = w

∴ The length = 4w

∵ The length is decreased by 10 feet

∴ The new length = 4w - 10

∵ The width is increased by 2 feet

∴ The new width = w + 2

The new perimeter is 80 feet

∵ The perimeter of the rectangle = 2(length + width)

Let us simplify it

Now equate it by 80

Add 16 to both sides

Divide both sides by 10

The length is 4 times the width

The length is 38.4 feet and the width is 9.6 feet

The angle sum property of a triangle the and in isosceles triangle base angles are equal theorem are used.

In the given triangle, the measure of two angles are 67° and 35°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

7a) Using angle sum property of triangle, we get

Now, 67°+35°+x=180°

⇒ 102°+x=180°

⇒ x=180°-102°

⇒ x=78°

7b)

67°+78°+y=180°

⇒ 145°+y=180°

⇒ y=180°-145°

⇒ y=35°

8a) In isosceles triangle base angles are equal.

Here, p=q

50°+p+q=180°

⇒ 50°+p+p=180°

⇒ 2p=130°

⇒ p=65°

So, p=q=65°

8a) Here, c+115°=180°

⇒ c=180°-115°

⇒ c=65°

So, b=c=65°

Now, a+b+c=180°

⇒ a+65°+65°=180°

⇒ a+130°=180°

⇒ a=50°

Hence, the angle sum property of a triangle the and in isosceles triangle base angles are equal theorem are used.

To learn more about the angle sum property of a triangle visit:

https://brainly.com/question/8492819.

#SPJ1

we have

f(x)=6x+2

g(x)=-5x-9

Find out the product

so

f(x)*g(x)=(6x+2)*(-5x-9)

Applying distributive property

f(x)*g(x)=(6x)*(-5x)+(6x)*(-9)+(2)*(-5x)+(2)*(-9)

f(x)*g(x)=-30x^2-54x-10x-18

combine like terms

f(x)*g(x)=-30x^2-64x-18

The mass of the object that the star is orbiting is 1.0659 × 10³⁷ kg.

One of the fundamental quantities and the most fundamental feature of matter is mass. The quantity of matter in a body is referred to as its mass. The SI unit of mass is the "kilogram," or kg, while there are other units for determining mass, such as grams, pounds, pounds, etc. A good conversion formula can be used to convert any mass unit to another without changing the meaning or essence of the quantity being measured.

Given, the speed of the orbiting star is 1400 km/s.

Converting the speed in meter per second.

speed = 1.4 × 10⁶ m/s

The radius of the circular orbit is 14-day light.

Converting the radius in meters,

radius = 3.626 × 10¹⁴ m

We know that the gravitational constant = 6.67 × 10⁻¹¹ N.m²/kg².

Now, find the mass of the object:

mass = ((1.4 × 10⁶)² × 3.626 × 10¹⁴)/6.67 × 10⁻¹¹

         = (1.96 × 10¹² × 3.626 × 10¹⁴)/6.67 × 10⁻¹¹

         = (7.10696 × 10²⁶)/6.67 × 10⁻¹¹

         = 1.0659 × 10³⁷ kg

Therefore, the mass of the object that the star is orbiting is 1.0659 × 10³⁷ kg.

To know more about mass, visit:

https://brainly.com/question/19539140

#SPJ4

Answer:

6

Step-by-step explanation:

Using the factor theorem, the expression evaluated at [tex]x=1[/tex] will equal [tex]0[/tex].

[tex]1^3+3(1^2)+k(1)-10=0 \\ \\ 1+3+k-10=0 \\ \\ k=6[/tex]

Answer

The missing number = 45

Explanation

Let the unknown number be x

x ÷ 5 = 9

Multiply both sides by 5

x ÷ 5 × 5 = 9 × 5

x = 45

Hope this Helps!!!

The expression is given as,

Rearranging the like terms,

Like terms : Terms that have same power of variable.

Simplifying further,

Thus the result of the given expression is,

Answer:

-8 + 10x^2 - 6x

Step-by-step explanation:

(doesn’t have to be in this order)

1. Combine numbers with the x^2

-3 + 10x^2 - 4x - 5 - 2x

2. Combine regular numbers

-8 + 10x^2 - 4x - 2x

3. Combine numbers with the plain x

-8 + 10x^2 - 6x

The length of a side must be less than the sum of the other two sides. Here, that means x < 10+13, or x < 23.

In addition, remember that the length of a side must be greater than the difference of the other two sides. That means x > 13 - 10, or x > 3.

Therefore we have two limits for the value of x: 3 and 23.

3 < x < 23

Answer: To do that, we divide both sides by 3. Thus, the answer to "3 times what equals 27?" is 9. To double-check our work, multiply 9 by 3 to see that it equals 27.

Step-by-step explanation:

Answer: 175

Step-by-step explanation:

3(27)+94  =

81 + 94 = 175

Answer:

5.5, 5¼, 5 1/5 and 5.1.

Explanation:

To list the height from greatest to least, we convert each of them to a decimal.

Therefore, the weights are: 5.1, 5.2, 5.5 and 5.25

Arranging them from greatest to least gives:

5.5, 5.25, 5.2 and 5.1 which is equivalent to: 5.5, 5¼, 5 1/5 and 5.1.

To find the equation of the line that goes through the point (4, -7) and is perpendicular to the line y + 6 = -2/5 (x - 1), we can use the fact that two lines are perpendicular if their slopes are negative reciprocals of each other.

The slope of the line y + 6 = -2/5 (x - 1) is -2/5, so the slope of the line that is perpendicular to it must be -5/2. We can use this slope and the point (4, -7) to write the equation of the line in slope-intercept form.

To do this, we can use the point-slope formula, which is: y - y1 = m(x - x1), where (x1, y1) is the point through which the line passes, and m is the slope of the line. In our case, the point is (4, -7) and the slope is -5/2, so the equation of the line is: y - (-7) = (-5/2)(x - 4).

We can simplify this equation to get: y + 7 = -5/2 x + 10. Finally, we can rearrange the terms to get the equation in slope-intercept form, which is: y = -5/2 x - 25/2.

Therefore, the equation of the line that goes through the point (4, -7) and is perpendicular to the line y + 6 = -2/5 (x - 1) is y = -5/2 x - 25/2 in slope-intercept form.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y+6=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{5}}(x-1)\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{5}{-2}\implies \cfrac{5}{2}}}[/tex]

so we're really looking for the equation of a line whose slope is 5/2 and that it passes through (4 , -7)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ \cfrac{5}{2}}(x-\stackrel{x_1}{4}) \implies {\large \begin{array}{llll} y +7= \cfrac{5}{2} (x -4) \end{array}}[/tex]

x = 4

The area of the figure can be found below.

The size of the farm is a rectangle therefore, we use the area of a rectangle to find the area of the farm.

The length of each strip is 4 cm

In this question, we have been given Noam had a length of 13 1/3 cm of ribbon and cut 3 1/3 equal sized strips the full width of the ribbon.

We need to find the length of each whole strip.

first we convert the improper fraction into a proper fraction.

13 1/3 = 40/3

3 1/3 = 10/3

To find  the length of each whole strip, we need to divide 13 1/3 by 3 1/3

i.e., 40/3 ÷ 10/3

= (40/3) / (10/3)

= 40/3 × 3/10

= 40/10

= 4

Therefore, the length of each strip is 4 cm

Learn more about the fraction here:

https://brainly.com/question/8969674

#SPJ1

Answer:

4

Step-by-step explanation:

Just did it on khan academy.

The rule of the length of the arc of a circle is

Where

x is the central angle subtended by the arc

r is the radius of the circle

From the given figure

The radius is 3 units, then

r = 3

The central angle of the highlight arc is a right angle, then

x = 90 degrees

Substitute them in the rule above

The length of the highlight arc is 1.5pi units

Shifts on x, where x and k form a binomial, are horizontal shifts. If k is positive, it is a left shift. If k is negative, it is a right shift.

The constant final term of the equation acts in the opposite way. It will be a vertical shift, and positive will mean up, negative will mean down.

So here, where there is a positive horizontal shift of 2 and a negative vertical shift of 7, the function is shifted 2 units to the left and 7 units down.

ANSWER

w = 6.71 or -6.71

EXPLANATION

Answer:

you have to use the formula of a line passing through a point, so: y-y0=m(x-x0)

We also know that m=8, because it is parallel to the line y=(8=m)x -1

so: y-2=8(x+6)

and you solve it, so:

y-2=8x+48

y=8x+48+2

y=8x+50

We can start by plotting the triangle JAG and the line y = 2 to see how we can solve it:

We can see the line y = 2 (red line) over which we have to reflect the point J, A and G.

To do that we have to look at the distance of each point to the line.

This distance will be the distance at which the image point will be located, opposite to the the original point.

As y = 2 is an horizontal line, the distance is vertical and the x-coordinate of the original points and the images will remain equal. Only the y-coordinate will change.

We can sketch the procedure as:

Then, for example, poing G is 1 unit below y = 2, so its image G' will be one unit over the line y = 2, locating at (2,3).

Point J is 2 units above y = 2, so J' will be 2 units below y = 2.

Point A is 3 units above y = 2, so A' will be 3 untis below y = 2

We can plot the remaining points as:

The red triangle is the original triangle and the blue triangle is the image.

Answer:

The coordinates are J'=(1,0), A'=(3,-1) and G'=(2,3).

The 106° measure of arc [tex]m\widehat{HJ}[/tex] and the length of the chords [tex]\widehat{FH}[/tex] and [tex]\widehat{JH}[/tex], which are the same, indicates that m∠G = 21° and ΔFGH is not isosceles. The correct option is option C;

C. The measure of ∠G is 21°, and triangle FGH is not isosceles

An isosceles triangle is a triangle that have two sides of the same length and two angles of the same measure.

According to the outside angle to a circle theorem, the measure of the outside angle ∠G formed by the secant GJ and the tangent GF is equal to the difference of the measures of the arcs [tex]m\widehat{F'KJ}[/tex], and arc [tex]m\widehat{FH}[/tex] divided by 2.

[tex]m\widehat{F'KJ}[/tex] = 360° - [tex]m\widehat{FH}[/tex] - [tex]m\widehat{HJ}[/tex]

[tex]\widehat{FH}[/tex] = [tex]\widehat{JH}[/tex]

[tex]\widehat{FH}[/tex] ≅ [tex]\widehat{JH}[/tex]

The lengths of the chord intercepted by congruent arcs are congruent.

Therefore; [tex]\widehat{JH}[/tex] ≅  [tex]\widehat{FH}[/tex]

Which indicates;

[tex]m\widehat{JH}[/tex] = 106° = [tex]m\widehat{FH}[/tex]

[tex]m\widehat{F'KJ}[/tex] = 360° - 106° - 106° = 148°

m∠G = ([tex]m\widehat{F'KJ}[/tex] - [tex]m\widehat{FH}[/tex]) ÷ 2

m∠G = (148° - 106°) ÷ 2 = 21°

[tex]m\widehat{F'KJ}[/tex] = 148°

m∠FHJ = 148° ÷ 2 = 74° (Angle at the center is twice angle formed at the circumference)

∠FHJ = ∠HFG + ∠G (exterior angle to triangle ΔFGH)

∠HFG = ∠FHJ - ∠G

Therefore; m∠HFG = 74° - 21° = 53°

m∠HFG = 53°

m∠FHG = 180° - 74° = 106° (linear pair angles property)

The correct option is option C.

Learn more about the outside angle of a circle theorem here:

https://brainly.com/question/22227781

#SPJ1

If the larger number is x, and the smaller one is y, then what we have is;

Therefore, the numbers are 7 and 1