A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimensions of the rectangular part of a Norman window to allow in as much light as possible, if there are only 12 ft of the frame material available? I'm reporting you if you send be a bitly link

Answer:

x² - 6x = -5

x = {1, 5}

Step-by-step explanation:

The square of a number minus six times a number equals negative five.

x² - 6x = -5

Add 5 to both sides

x² - 6x + 5 = 0

Factor

(x - 1)(x - 5) = 0

x = {1, 5}

Answer:

[tex]x^{2} - 6x = -5[/tex]

x = 1 or x = 5

Step-by-step explanation:

Let x = the no.

[tex]x^{2} - 6x = -5\\x^{2} - 6x + 5 = 0[/tex]

(x - 1)(x - 5) = 0

x = 1 or x = 5

Equation [tex]x^{2}-6x=-5[/tex]

Solving:

[tex]x^2 - 6x+5=0\\\\(x-5)(x-1)=0\\\\x=1, 5[/tex]

Answer: 10 sides

Step-by-step explanation:

You can always use the given formula to calculate but I (personally) find it much easier to calculate the number of sides using the exterior angle.

To calculate the exterior angle, it is 180 - the interior angle.

In this example, the exterior angle would be 180-144 = 36°

Because it is a regular polygon, we know that all the angles in the shape are the same.

In all polygons, the exterior angles always add up to 360 degrees.

So divide 360 by 36 (the size of each exterior angle), and you get 10.

360/36 = 10

Answer:

1/4,

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

The missing numbers are 74, 105, and 178.

Answer:

80

Step-by-step explanation:

Answer:

A B and D

Step-by-step explanation:

Given the parabola is opening downward, the function has to be negative. Therefore, A B and D are correct.

The following equations could define the given quadratic function.

1. -1(x-1)²+9

4. -x²+2x+8

6. (x+2)(x-4)

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c.

1. The function -1(x-1)²+9 represents a downward-facing parabola.

The vertex of the parabola is at point (1, 9), and it opens downward because the coefficient of the squared term (-1) is negative.

4. The function -x²+2x+8 represents a downward-facing parabola as well.

6. The parabola intersects the x-axis at x = -2 and x = 4.

Hence, the correct answer is options 1, 4, 6.

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Answer:

10fx-7

Step-by-step explanation:

(:

Answer:

1. not a function

2. function

3. function

Step-by-step explanation:

ask yourself..."does it pass the vertical line test?"

Considering the definition of a line, the equation of the line in standard form is y - 7/10x= -4

A linear equation o line can be expressed in the form y = mx + b

where

The standard form of a linear equation is Ax + By = C. In this type of equation, x and y are variables and A, B, and C are integers.

In this case, you know:

So, the line can be expressed as:

y=7/10x -4

Expresed in standard form:

y - 7/10x= -4

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Answer:

The set A is defined as the set containing the elements c, d, e, f, and g.

The set B is defined as the set of odd numbers greater than 5 and less than 13. This set includes the elements 7, 9, and 11.

Step-by-step explanation:

Except Option - A all satisfy the more appropriate measures of center and spread for the data that is median and IQR.

Given that,

We have to find what are the more appropriate measures of center and spread for data.

We know that,

Mean, median, and mode are the three central tendencies, and median is the more accurate indicator.

This is because

i) Extreme values affect the mean.

ii) If there are more outliers, the mean is in error.

iii) Means that are biassed to the right or left may not accurately reflect the nature of the data.

However, median is preferable to mean because it represents the center entry and is unaffected by extreme items or outliers.

Since extreme items will show higher standard deviation and some outliers may be misleading, IQR is a superior spread measurement tool. However, IQR provides an excellent idea.

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Answer:

A. 84

Step-by-step explanation:

84 / 4 = 21

Answer:

Its a(84)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pentagon

Answer: Pentagon

Step-by-step explanation: The shape has 5 sides so it's a pentagon

Answer:

I think 42 is the answer...

Answer:

m<N = 32°

Arc NQ = 106°

Step-by-step explanation:

✔️Find m<N:

Inscribed angles theorem, we would have;

m<N = ½(arc MP)

arc MP = 64°

Substitute

m<N = ½(64°)

m<N = 32°

✔️Find measure of arc NQ:

m<P = ½(arc NQ) => inscribed angle theorem

53° = ½(arc NQ)

Multiply both sides by 2

2*53° = arc NQ

106° = arc NQ

Arc NQ = 106°

Answer:

#1

Area of triangle backdrop:

Area of the cloth:

Uncovered area:

Choice A

#2

Area of the cut piece:

Area of the square piece:

Remaining piece is:

Choice B

Answer:

------------------------

If you buy a sweater, the second one is at 40% discount.

Divide the discount between the two to get:

You get a discount of 20% for each sweater.

Answer:

Discount percentage = 20%

Step-by-step explanation:

Discount of the sweaters,

→ first sweater = 0%

→ other sweater = 40%

The average discount percent is,

→ (first sweater + other sweater)/2

→ (0% + 40%) ÷ 2

→ (0 + 40)/2

→ 40/2

→ 20% off

Hence, the answer is 20% off.

Answer:

what is the full question? 4 units left or right or?

Answer:

4√3/3

Step-by-step explanation:

This is a 30,60,90 triangle. Therefore, small side (X) is equal to 4/√3 or X√3. In this case, it is 4/√3. This is equal to 4/√3 times √3/√3. This means the answer will be 4√3/3. Therefore, X=4√3/3

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The constant of proportionality is 10 for the proportional relationship shown in the graph.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The proportional relationship is shown in the given graph.

As per the given graph, we take two points (1, 10) and (2, 20)

So, the constant of proportionality will be as:

⇒ (20 - 10)/(2-1)

⇒ 10/1

⇒ 10

Hence, the correct answer would be option (A).

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Answer:

180

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

Hope it helped :)

Answer:

a=11

Step-by-step explanation:

a=m2 +2

a= (-3)2+2

a=9+2

a=11

Answer:

Yes

Step-by-step explanation:

Most commutes to work or errands are about 8 to 32 minutes - averaging at around 20 minutes.

Answer:

59.5765%

Step-by-step explanation:

$35.74/$59.99

Answer:

67

Step-by-step explanation:

42+90=132

180-132=48

<A=48

if u use the 113 that you got than

113+48=161

180-161=19

<B= 19

48+19=67

Answer:

the answer is 6 feet!!

Answer:

A. 6 feet

Step-by-step explanation:

Answer:

A. 5

Step-by-step explanation:

just use calculator tbh

Answer:

1.50x < 12 (the inequality would just be "less than")

Step-by-step explanation: