grogg draws the following figure. it so happens that $\angle sap$ is $174^\circ$ less than 4 times $\angle sop$. find the degree measure of $\angle sap.$

450, 46, 12

46, 12, 10

450, 10, 12

46,450,10

Step-by-step explanation:

The mixture of any three would be the possibilities

450, 46, 12

46, 12, 10

450, 10, 12

46,450,10

The area of the irregular figure to the nearest tenth is 8.12 sq. ft.

Shapes classified as irregular lack both equal sides and equal angles. The entire area occupied by an irregular shape on a two-dimensional plane is referred to as the shape's area. An irregular form can be split into a number of regular shapes, such as triangles, squares, and rectangles, to determine its area. The area of those smaller shapes can then be added to determine the total area.

Given that, the diameter of the semicircle= 2.8 ft.

The radius of the semicircle = 1.4 ft.

The area of the semicircle is:

A = πr² / 2

A = (3.14)(1.4)²/2

A= 3.077 sq. ft

The area of the triangle is given as:

A = 1/2(b)(h)

A = 1/2(2.8)(3.6)

A = 5.04 sq. ft

The area of the irregular figure is:

A = Area of semicircle + area of triangle

A = 3.077 + 5.04

A = 8.117 sq. ft

Hence, the area of the irregular figure to the nearest tenth is 8.12 sq. ft.

Learn more about shapes here:

https://brainly.com/question/28756579

#SPJ1

The correct interpretation of the interval is " We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb "

What is confidence interval?

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as the confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations.

We need to find correct interpretation of the interval.

Among all answer choices given, the correct  option is :

We are 99 percent confident that the mean level of the contaminant in all the water in the region is between 22.5 ppb and 28.7 ppb

To Learn more about the confidence interval form the link:

https://brainly.com/question/15712887

#SPJ1

Answer:

Brian hiked 6 1/2 more miles than Christine.

Step-by-step explanation:

Ok. 5.25+4.75+6-2*4.75=6.5 or 6 1/2 more miles.

The value of expression 50% of 36 is,

⇒ 50% of 36 = 18

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The expression is,

⇒ 50% of 36

Now, We can simplified as;

The expression is,

⇒ 50% of 36

By definition of percent we get;

⇒ 50/100 × 36

⇒ 1/2 × 36

⇒ 36/2

⇒ 18

Thus, The value of 50% of 36 is,

⇒  50% of 36 = 18

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ9

The Spirit Club makes $2.5 profit on each shirt at the end of the year.

What is profit?

Cost price and selling price are better ways to explain profit. Cost price is the actual cost of the good or service, whereas selling price is the price at which it is offered for sale. In this case, the business has made a profit if the selling price of the good is higher than the cost price. Consequently, the profit calculation formula is;

Selling price minus cost price equals profit or gain.

Given that the cost of a shirt for the Spirit Club is $8.

They mark up the shirts 75% to sell in the school store.

The amount that is up on each shirt is $8×75%

= $8×(75/100)

= $8×(3/4)

= $6.

The marked price of each shirt is  $8 + $6 = $14.

They sell the shirts for 25% off at the end of the year.

The discount amount is $14×25%

= $14×(25/100)

= $14×(1/4)

= $3.5

The selling price of each shirt at the end of the year is $14 - $3.5 = $10.5.

The profit is Selling price - cost price = $10.5 - $8 = $2.5

To learn more about profit and loss, click on the below link:

https://brainly.com/question/14303891

#SPJ1

The length of the apothem of the pentagon is approximately 11 meters.

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc.

Here, we have,

To solve this problem, we can use the formula for the area of a regular pentagon:

A = (5/2) × s × a

Where A is the area of the pentagon, s is the length of one side, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).

We know that the area of the pentagon is 118.25 square meters and the length of one side is 4.3 meters. We can substitute these values into the formula and solve for the apothem:

118.25 = (5/2) × 4.3 × a

Divide both sides by (5/2) x 4.3:

a = 118.25 / ((5/2) × 4.3)

 = 118.25 / 10.75 ≈ 11 meters

Therefore, the length of the apothem of the pentagon is approximately 11 meters.

Learn more about polygon here:

brainly.com/question/24464711

#SPJ1

The interest to pay at the end of the first month C. $18.71.

To calculate the monthly interest rate, divide the annual percentage rate by 12. For excellent credit, the monthly rate is 4.75% / 12 = 0.3958%, and for good credit, the monthly rate is 5.00% / 12 = 0.4167%.

The total cost of the mobile home including sales tax is $92,738 ($89,000 x 4.2% sales tax). With a $3,000 down payment, the amount financed is $89,738.

For excellent credit, the monthly interest rate :

= 4.75% / 12

So, the interest charged in the first month is $89,738 x  4.75% / 12 = $355.21

For good credit, the monthly interest rate is 0.4167%. So, the interest charged in the first month is $89,738 x 0.004167 = $33.91.

The difference in interest charged between good and excellent credit is $373.91 - $355.21 = $18.71.

Learn more on monthly interest here: https://brainly.com/question/2151013

#SPJ1

The complete question is:

Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment. How much more interest do your parents have to pay at the end of the first month because their rating is good rather than excellent?

Secured Unsecured

Credit APR (%) APR (%)

Excellent 4.75 5.50

Good 5.00 5.90

Average 5.85 6.75

Fair 6.40 7.25

Poor 7.50 8.40

Options:

$29.39

$21.10

$18.71

$19.02

The original length of each side of the square was 14 inches.

A square is a geometric form with two dimensions that has four equal sides and four angles that are each 90 degrees (also known as right angles). With all sides being the same length and all angles being right angles, it is a particular case of a rectangle and a parallelogram. A square's sides are all perpendicular to one another, and its diagonals are at right angles to one another. Squares exhibit rotational symmetry of order 4 because they are symmetrical in both their vertical and horizontal axes.

Let's assume that the original length of each side of the square was "x" inches.

When each side of the square is decreased by 2 inches, the new length of each side will be (x-2) inches.

The perimeter of the new square is given as 48 inches. Since a square has four equal sides, the perimeter of a square is given by the formula:

Perimeter = 4 * Side

So, for the new square, we have:

48 = 4 * (x-2)

Simplifying the above equation, we get:

12 = x-2

Adding 2 to both sides, we get:

x = 14

Therefore, the original length of each side of the square was 14 inches.

To know more about square, visit:

https://brainly.com/question/25092270

#SPJ1

Answer:

No solution

Step-by-step explanation:

2x - 4y= -6 ----- eq(1)

-x + 2y = -2 ----- eq(2)

Simplifying eq(1) by taking 2 as common,

2(x-2y) = 2(-3)

x - 2y= -3 -----eq(1)

from eq(1)

x - 2y = -3

x = -3 + 2y ---eq(3)

substituting eq(3) into eq(2)

-(-3 + 2y) + 2y = -2

3 - 2y + 2y = -2

3 = -2

Therefore This pair of linear Equations Has No Solution

The interpretation of the solution of the graph can be: the solution (6, 64) on the graph represents that after 6 minutes, there are 64 gallons of water.

The solution to a system that is plotted on a graph is the coordinates of the point interception of the graph.

Therefore, the solution (6, 64) represents a point on the graph of a relationship between time in minutes (represented by the x-axis) and water in gallons (represented by the y-axis).

The solution tells us that at 6 minutes, the water level is 64 gallons. In other words, (6, 64) on the graph, represents the amount of water in the tank over time.

Learn more about the solution of a graph on:

https://brainly.com/question/25799000

#SPJ1

[-1.5, 3.5] and [-2, infty) are the range and domain of the equation.

Quadratic function are functions that have a leading degree of 2.

The domain of the function are values that lies along the x-axis of the graph. Hence the domain of the curve will be [-1.5, 3.5]

The range of the function are values that lies along the y-axis of the graph. Hence the domain of the curve will be [-2, infty)

Hence the range and domain of the graph are [-1.5, 3.5] and [-2, infty)

Learn more on domain and range here: https://brainly.com/question/10197594

#SPJ1

Answer:

the Rhine River is approximately 1216 km long

Step-by-step explanation:

a) If the Mississippi River is 19% longer than the Indus River, we can find its length by multiplying the length of the Indus River by 1.19:

Length of Mississippi River = 3200 km x 1.19 = 3808 km

Therefore, the Mississippi River is approximately 3808 km long.

b) If the Rhine River is 62% shorter than the Indus River, we can find its length by multiplying the length of the Indus River by 0.38 (100% - 62% = 38%):

Length of Rhine River = 3200 km x 0.38 = 1216 km

Therefore, the Rhine River is approximately 1216 km long.

Answer:

The polynomial that represents the difference of 12x^3+7x+3 and 3x^7+4x is 12x^3-3x^7+7x-4x.

Answer:

S$ 250

Step-by-step explanation:

we can solve this by dividing 20,000 NRs by 80 since S$1.00 = NRs 80

Answer:

84 deg

Step-by-step explanation:

cos(x)=sin(90-x)

90-x=6

x=84

We have shown that the product of two rational numbers is rational.

A number system is defined as a system of writing to express numbers.

Let a and b be two rational numbers, such that:

a = p/q

b = r/s

where p, q, r, and s are integers and q, s are non-zero.

We need to show that the product ab is also a rational number.

We have:

ab = (p/q) x (r/s)

= (p x r) / (q x s)

Since p, q, r, and s are all integers,

ab = m/n

where m = p x r and n = q x s.

Since both m and n are integers and n is non-zero ,we can conclude that ab is a rational number.

Therefore, we have shown that the product of two rational numbers is rational.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ1

a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:

[tex]P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831[/tex]

b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:

[tex]P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032[/tex]

c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.

The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:

[tex]$$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$[/tex]

d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:

[tex]P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001[/tex]

This probability is extremely small, so it can be considered unusual and not typical variation.

https://brainly.in/question/39769270

#SPJ1

When the triangle's vertices are (2, 2), (4, 2), and (2, 2), its circumference is 28. (4,6).

An closed path that surrounds, distinguishes, or comprises a multiple shape or a three-dimensional length is spoken to as a boundary. The perimeter of either an ellipse or circle refers from its outermost area. The perimeter calculation had several practical uses. Discover how to determine the perimeter by adding the measurements of the vertices of various forms. You can still find the perimeter of a shape by multiplying its side lengths. The peripheral of an object is the space around it. At your house, a covered garden is one illustration. The circumference of anything is all area encircling it. For a 50 feet x 50 feet yard, a 200 yard fence is required.

given

d=√(x2−x1)2+(y2−y1)2

d1=√(4+1)2+(−5−6)2=√146≅12

For the second two;

d2=√(−2−4)2+(−4+5)2=√37≅6

And for the last pair;

d3=√(−2+1)2+(−4−6)2=√109≅10

So the sum of the three sides is roughly;

12+6+10=28

When the triangle's vertices are (2, 2), (4, 2), and (2, 2), its circumference is 28. (4,6).

To know more about perimeter visit:

https://brainly.com/question/6465134

#SPJ1

Intersection points for the lines are,

⇒ (3, 5) (1, 7) and (1, 5)

Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.

Given that;

The equation of lines are,

x + y = 8  .. (i)

y = 5 .. (ii)

x = 1  .. (iii)

Now, Intersect point for equation (i) and (ii);

x + y = 8  .. (i)

y = 5 .. (ii)

⇒ x + 5 = 8

⇒ x = 3

Hence, The intersection point = (3, 5)

And, Intersect point for equation (i) and (iii);

x + y = 8  .. (i)

x = 1  .. (iii)

⇒ x + y = 8

⇒ y = 8 - 1

⇒ y = 7

Hence, The intersection point = (1, 7)

And, Intersect point for equation (ii) and (iii);

⇒ (1, 5)

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ1

We can use the formula for compound interest to find the time it will take to reach the target amount:

FV = PV * (1 + r)^t

where FV is the future value (target amount), PV is the present value (amount you have today), r is the interest rate, and t is the time (in years).

Substituting the given values, we get:

230000 = 31000 * (1 + 0.045)^t

Simplifying and solving for t, we get:

t = log(230000/31000) / log(1 + 0.045)

t ≈ 14.09

Therefore, it will take approximately 14.09 years to save enough to buy the Ferrari.

Step-by-step explanation:

3.14×18×18

1017.36ft²

2×3.14×18

113.04ft

The area that will be frosted on the bottom layer 680

What are the basic mathematical operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

1. Find the smaller cake first with (lw*amount of sides) and then add it to the larger cake using the same formula.

6*6*6+10*10*6

This equals 816

2. Find the amount not frosted. The bottom and the connection. Simply, (lw).

6*6+10*10

This equals 136

3. Subtract 136 from 816.

816-136= 680 sq inches

Hence, The area that will be frosted on the bottom layer 680

To learn more about basic mathematical operations, Visit

https://brainly.com/question/20628271

#SPJ1

The probabilities are given as follows:

1) Blue eyes: 0.132.

2) Female with green eyes: 0.09.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The total number of people is given as follows:

20 + 25 + 30 + 15 + 10 + 12 + 15 + 20 + 10 + 10 = 167.

10 + 12 = 22 people out of 167 have blue eyes, hence the probability is given as follows:

p = 22/167 = 0.132.

15 people out of 167 are female with green eyes, hence the probability is given as follows:

p = 15/167 = 0.09.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Answer:

Step-by-step explanation:

Item: $15

on sale:$15 -35% or 15*7/20=

$9.75~

The linear equations represented by graph are y=6-2.5x and y=0.8x.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Other term used for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There is three more constants added to the constant C: the variables x and y, the coefficients A and B, and the variables.

Now,

In given graph for y=6-2.5x

when  x        y

          1        3.5

          2       1

and for y=0.8x

when  x   y

          1    0.8

          2   1.6

hence,

           The linear equations represented by graph are y=6-2.5x and y=0.8x as shown in the image.

To know about linear equations visit the link

https://brainly.com/question/29739212

#SPJ1

The requried, Gage stocks Pond A with 15 bass and 45 bluegills.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the number of basses in Pond A.

Then the number of bluegills in Pond A is 60 - x.

According to the problem, Pond B has twice the number of bass as Pond A, so there are 2x bass in Pond B.

Similarly, Pond B has six times the number of bluegills as Pond A, so there are 6(60 - x) bluegills in Pond B.

The total number of fish in Pond B is 300, so we can set up an equation:

2x + 6(60 - x) = 300

Simplifying and solving for x, we get:

2x + 360 - 6x = 300

-4x = -60

x = 15

Therefore, Gage stocks Pond A with 15 basses and 45 bluegills.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ1

The height of the given triangle having an area of 13.5in.² and a base length of 6.75 in. is 4 in.

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle.

In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.

In this question, we are given,

Area of triangle A = 13.5 in.²

Base of triangle b = 6.75 in.

We are asked to find the height h of the triangle.

Now formula of the area is:

A = 1/2 * b * h

13.5 = 1/2 * 6.75 * h

h = 13.5 *2 / 6.75 = 4 in.

Therefore the height of the given triangle is 4 in.

To learn more about triangles, follow the link.

https://brainly.com/question/17335144

#SPJ1

The Volume of Solid is 2,773.66 inch³ and Surface Area is

2,552.82 inch².

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given:

Cylinder: Height = 30 inch, Radius = 5 inch

Semi sphere: radius = 5 inch

Cone: Height = 6 inch, radius = 5 inch, l= √r² + h² = 7.81 inch

Now, The Volume solid

= Volume of Semi sphere  + Volume of Cylinder + Vol. of Cone

= 2/3 πr³ + πr²H + 1/3 πr²h

= πr² (2/3 r + H + 1/3 h)

= 3.14 x 5 x 5 (2/3(5) + 30 + 1/3 (6))

= 78.5 x ( 10/ 3 + 30 + 2)

= 2,773.66 inch³

Now, the Surface Area of Solid

= SA (Cylinder+ S. Sphere + Cone)

= πr²H + 2πr² + 1/3 πrl

= πr (rH + 2r + 1/3l)

= 3.14 x 5 (150 + 10 + 2.60)

= 2,552.82 inch²

Now, the model is increased by 8 times then the dimensions are:

Cylinder: Height = 240 inch, Radius = 40 inch

Semi sphere: radius = 40 inch

Cone: Height = 48 inch, radius = 40 inch, l= √r² + h² = 62.48 inch

and, Now, The Volume solid after dilation

= Volume of Semi sphere  + Volume of Cylinder + Vol. of Cone

= 2/3 πr³ + πr²H + 1/3 πr²h

= πr² (2/3 r + H + 1/3 h)

= 3.14 x 40 x 40 (2/3(40) + 240 + 1/3 (48))

= 78.5 x ( 10/ 3 + 30 + 2)

= 1,420,117.33 inch³

Now, the Surface Area of Solid

= SA (Cylinder+ S. Sphere + Cone)

= πr²H + 2πr² + 1/3 πrl

= πr (rH + 2r + 1/3l)

= 3.14 x 5 (1200 + 80 + 20.82)

= 163, 382. 992 inch²

Learn more about Surface Area Here:

https://brainly.com/question/29298005

#SPJ1