gina wilson unit 7 homework 3 second page document

Answer:[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

Use pytha. theorem on leftmost triangle and get sqrt(13)

Use it again on the other triangle: 13+b^2=25

First, we find the hypotenuse of the first triangle

(Use the pythagorean theorem) : [tex]3^{2} + 2^{2} = 9 + 4 = 13[/tex]

So, the length of the side = [tex]\sqrt{13}[/tex]

Now, we find x :

x(squared) = [tex]5^{2} -\sqrt{13} ^{2}[/tex] = 25 - 13 = 12

-> x = [tex]\sqrt{12}[/tex] = 2[tex]\sqrt{3}[/tex]

Answer:

8 m^2

Step-by-step explanation:

4x2=8 and if it needs to be in sq meters it is 8 m^2  (m^2 means meters squared)

I don't know use a calculator

Given :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}[/tex]

[tex]{\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}[/tex]

Now, Substituing the value of y in equation (ii) :

[tex]{\qquad \sf \dashrightarrow \: 3x + 2y = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 13 - 2 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 11 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }[/tex]

[tex]{\qquad \sf \dashrightarrow \bf \: x = 1 }[/tex]

Now, substituting the value of x in equation (i) :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4(1) + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4 + 1}[/tex]

[tex]{\qquad \bf \dashrightarrow y= 5}[/tex]

To identify the shape with one pair of parallel sides, we need to consider the given set of numbers: 3, 5, 8, 2, 6.

A shape with one pair of parallel sides is a trapezoid. In a trapezoid, two sides are parallel while the other two sides are non-parallel.

Looking at the given set of numbers, we can form the sides of a trapezoid by pairing the numbers in the following way: 3, 5, 8, 2, 6.

The sides of the trapezoid can be represented as follows:

Parallel sides: 3 and 5 (forming the top and bottom sides)

Non-parallel sides: 8, 2, 6 (forming the slanted sides)

Therefore, the given set of numbers forms a trapezoid with one pair of parallel sides.

For such more question on trapezoid

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Answer:

312.29 square feet

Step-by-step explanation:

[tex]w = \sqrt{ {d}^{2} - {l}^{2} } = \sqrt{ {25}^{2} - {18}^{2} } \\ [/tex]

w = 17.35

A= l × w

= 18 × 17.35

= 312.29 square feet

Answer:

B) 236.25

Step-by-step explanation:

POQ is a diameter of circle with centre O having diameter 21 cm. Whereas radius is 21/2 cm (as radius is considered as half of the diameter).

Assume that the tip of the triangle that touches the circle is point 'N'. So,

NO = radius = 21/2 cm

At present time we have a triangle of radius or height 21/2 cm, base 21 cm is enclosed in circle of diameter 21 cm. And are asked to find the area of the remaining region or you can say asked to find area of the shaded region.

Shaded region = Area of Circle - Area of Triangle

= πr² - 1/2 × b × h

= 22/7 × 21/2 × 21/2 - 1/2 × 21 × 21/2

= 21/2 × 1/2 [ 22/7 × 21 - 21 ]

= 21/4 [ 22 × 3 - 21 ]

= 21/4 [ 66 - 21 ]

= 21/4 [ 45 ]

= 21 × 11.25

= 236.25

Hence, the area of the shaded region is 236.25 cm².

Answer:

D

Step-by-step explanation:

If n=minimum number of required words and the essay is 175 words long which is 5 times more words than the minimum number of required words, you multiply n with 5 and equate to 175. To get n, you divide 175 with 5(175/5) which is 35 words.

The diamond rule creates a system of equation for variables m and n

The possible values of m and n are 8 and 4 or 4 and 8

The question is incomplete; so I will make use of the attached figure

When the diamond rule is applied to the figure, we have the following equations

[tex]mn = 32[/tex]

[tex]m + n = 12[/tex]

Make n the subject, in the second equation

[tex]n = 12 - m[/tex]

The first equation becomes

[tex](12 - m)m = 32[/tex]

Expand

[tex]12m - m^2 = 32[/tex]

Rewrite as:

[tex]-m^2 + 12m - 32 = 0[/tex]

Multiply through by -1

[tex]m^2 - 12m + 32 = 0[/tex]

Expand

[tex]m^2 - 4m - 8m + 32 = 0[/tex]

Factorize

[tex]m(m - 4) - 8(m - 4) = 0[/tex]

Factorize

[tex](m - 8)(m - 4) = 0[/tex]

Solve for m

m = 8 or m = 4

Recall that:

[tex]n = 12 - m[/tex]

So, we have:

n = 12 - 8 or n = 12 - 4

Solve

n = 4 or n = 8

Hence, the possible values of m and n are 8 and 4 or 4 and 8 (using the attached figure)

Read more about equations at:

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Answer:

16 ounces

Step-by-step explanation:

one pound is sixteen ounces

Answer

=12/13

Step-by-step explanation:

I have done it before:)

Based on the quantity of the various items sold at the concession stand, the items that show a linear relationship include:

Items that show a linear relationship are those that are either increasing or decreasing by the same amount overtime.

Change in Hotdogs:

= 142 - 131                                 =  120 - 109

= 11                                             = 11

Hotdogs are changing by the same amount.

Change in Soft drinks:

= 161 - 154                                                       = 147 - 133

= 7                                                                   = 14

Change in Pretzels

= 96 - 64                                    = 120 - 112

= 32                                            = 8

Change in Nachos:

= 111 - 97                                         =  153 - 139

= 14                                                 = 14

Therefore, the only items that are linear are the Hotdogs and Nachos.

Find out more on linear relationships at https://brainly.com/question/837754.

Answer:

2

Step-by-step explanation:

If ABC is equilateral, its angles are all equal to each other and each one measures 60°.

[tex]8x-44 =60\\8x = 16 \rightarrow x = 2[/tex]

Answer:

 13m²−35m+8−4m³

Step-by-step explanation:

Expand (1 − 4m)(m² − 3m + 8) by multiplying each term in the first expression by each term in the second expression.

1m² + 1 (−3m) + 1 ⋅ 8 − 4m ⋅ m² − 4m (−3m) − 4m ⋅ 8

Simplify terms.

13m²−35m+8−4m³

Answer:

B. (-5,-4)

Step-by-step explanation:

The answer must be at the point where the two functions intersect. They meet at the points (-5,-4) and (2,0). Since (2,0) is not an answer choice, (-5,-4) must be the answer.

Answer:

  (d)  22

Step-by-step explanation:

For numbers of days above 19, the fine is constant. The answer choice that is above 19 is 22. For 22 days overdue, the fine will be the same as for 21 days overdue: $10.

 22 could be the number of days

Answer:

D. 22

Step-by-step explanation:

Solution:

We know that:

This means that:

Step-1: Convert "40%" into a fraction.

Step-2: Find the discounted price.

Answer:

The answer is A!

Step-by-step explanation:

area of the base = pi*(4x+2)^2 = pi*(16x^2 +16x +4)

volume of cylinder = pi*r^2 *h

V = pi *(16x^2 +16x +4)(5x+4) = pi*(80x^3 +80x^2 +20x +64x^2 +64x +16) =

= pi*(80x^3 +144x^2 +84x +16)

Answer:

Step-by-step explanation:

The volume of a cylinder can be thought of as the area of a circle, scaled by the height of the cylinder. The formula for the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Plug in the radius, and the height:

[tex]V=\pi (4x+2)^2(5x+4)[/tex]

Use FOIL to expand the squared binomial:

[tex]V=\pi (16x^2+16x+4)(5x+4)[/tex]

Bring out the binomial to the front of the trinomial:

[tex]V=\pi [(5x+4)(16x^2+16x+4)][/tex]

The process to multiply a trinomial by a binomial involves multiplying the trinomial by each term of the binomial:

[tex]V=\pi [(5x+4)(16x^2+16x+4)]=\pi [5x(16x^2+16x+4)+4(16x^2+16x+4)][/tex]

The rest is just distributing and tedious algebra:

[tex]V=\pi [(80x^3+80x^2+20x)+(64x^2+64x+16)][/tex]

Combine like terms and order the terms from highest exponent to lowest exponent. That is the definition of standard form:

[tex]V=\pi [80x^3+144x^2+84x+16][/tex]

[tex]V=4\pi [20x^3+36x^2+21x+4][/tex]

Answer:

9

Step-by-step explanation:

Follow PEMDAS

[tex]4-(-6)+(-4)+3x\\4+6-4+3x\\6+3x\\6+3=9[/tex]

Answer:

6

Step-by-step explanation: [tex]4-\left(-6\right)+\left(-4\right)+3\times0[/tex]

Apply the Inverse Property of Addition

[tex]-\left(-6\right)+3\times0[/tex]

Apply Zero Property of Multiplication

[tex]-\left(-6\right)[/tex]

Determine the sign

[tex]6=YOUR\ ANSWER[/tex]

I hope this helps you

:)

Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.

Given the following data:

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

From the graph of the data, we have the following linear equation:

[tex]y=\frac{1}{2} x+18[/tex]

Substituting the value of x, we have:

[tex]y=(\frac{1}{2} \times 40 )+18\\\\y=20+18[/tex]

y = 38 inches.

Read more on scatterplot here: https://brainly.com/question/6592115

Answer:

2m + 3 I think.

Step-by-step explanation:

4m - 2m = 2m. So just put that in the equation now and poof. 2m + 3

Answer:

She is 60 years old

Step-by-step explanation:

The first thing we can do is convert each fraction to have a common denominator. The LCM of 5, 3, and 4 is 60.

[tex]\frac{1}{4} =\frac{15}{60}[/tex]

[tex]\frac{1}{3} =\frac{20}{60}[/tex]

[tex]\frac{1}{5} =\frac{12}{60}[/tex]

Add the numerators:

[tex]15+12+20=47/60[/tex]

Meaning that the time she lived in Switzerland is the remaining 13/60, and since she lived there for 13 years that means she lived for a total of 60 years because the numerator and denominator both equal 60.

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Answer:

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

Let the age of Teresa be x.

Set up equation:

Multiply both sides by 3*4*5 = 60 to clear fraction:

Answer:

2x + 3y = 12 …equation 1

x– y = 1 … equation 2

To solve it by elimination method, let us multiply the second equation by 3

3x — 3y = 3 …equation 3

Now add the first and third equation

5x = 15

x = 3

From equation 2, y = x-1

y = 2

Hence x = 3, y = 2.

(b) 3x + y = 10

Since we have one equation and 2 variables, it cannot be solved by the elimination method.

To solve this, we can go for trial and error

Say y = 1, x = 3 or x = 5, y = —5

(c) x – 3y=1 …eq 1

3x – 2y + 4 = 0 …eq 2

Multiply eq 1 by 3, 3x — 9y = 3 …eq 3

Eq 2 — eq 3,

7y = —7

y = —1, x = —2 Ans

Answer:

False

Step-by-step explanation:

[tex]the \: expression \: is \: 3x[/tex]

Answer:

false

Step-by-step explanation:

thrice a number means 3 times the number

if the number is m then thrice the number is

3 × m = 3m

Step-by-step explanation:

125 + 30 + 25 + b is equal to 180 degree 19 + y equal to 180 degree equal to 180 - 190 equal to - -10

Answer:

3/5

108

Step-by-step explanation:

Let there are 3x goldfish, then 2x belta fish

total 3x + 2x = 5x fish

so 3x/5x = 3/5 are goldfish.

total fish = 5x = 180, so x = 180/5 = 36

The store has 3x = 3*36 = 108 goldfish.

Explanation:

3 feet = 1 yard

14*(3 feet) = 14*(1 yard) .... multiply both sides by 14

42 feet = 14 yards

The carpet is 14 yards by 14 yards.

Its area is 14*14 = 196 square yards.

Since it costs $25 per square yard, this means the total cost is 25*196 = 4900 dollars

Answer:

100

Step-by-step explanation:

Split it into 3 different rectangles, find the area of each, and add them together.

Rectangle 1: length=11   width=4    11×4=44

Rectangle 2: length=11-9=2   width=6    2×6=12

Rectangle 3: length=11   width=4    11×4=44

44+12+44=100