The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a sailboat model. Each boy chose a different quadrilateral for a sail. Althea chose a trapezoid, and her friend chose a parallelogram.

(a) Compose each shape into a rectangle to determine the area. The formula for area of a rectangle is A = lw . What is the area of each quadrilateral?

(b) Althea said that all quadrilaterals can be decomposed into triangles to find the area of the quadrilateral. Is this statement always true, sometimes true, or always false? Give two examples to support your answer.

Answers

Answer 1

A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure

What is a quadrilateral?

A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.

It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.

Learn more about  quadrilateral: https://brainly.com/question/13805601


Related Questions

-1/3 + -7/4 please help me​

Answers

Answer:

-25/12

Step-by-step explanation:

Given expression:

    [tex]\bullet \ \ \dfrac{-1}{3} + \huge\text{(}\dfrac{-7}{4} \huge\text{)}[/tex]

Open the parenthesis:

    [tex]\implies \dfrac{-1}{3} + \huge\text(\dfrac{-7}{4} \huge\text)[/tex]

    [tex]\implies \dfrac{-1}{3} - \dfrac{7}{4}[/tex]

Make common denominators:

    [tex]\implies \dfrac{-1 \times 4}{3 \times 4} - \dfrac{7 \times 3}{4 \times 3}[/tex]

    [tex]\implies \dfrac{-4}{12} - \dfrac{21}{12}[/tex]

Subtract the fractions:

    [tex]\implies \boxed{\dfrac{-25}{12}}[/tex]

In quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.

Answers

Answer: 35, 35, 70, and 220

Step-by-step explanation:

– Let x = size of one of the two equal angles

The sum of angles in a quadrilateral is 360:

360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)

360 = 4 + 2(4 ) – 60

360 = 4 + 8 – 60

360 = 12 – 60

12x = 420

= 35

Substituting x for 35, will get: 35, 35, 70, 220

The values of the angles are 35°, 35°, 70° and 220°

For which value of theta is sine theta = negative 1?

A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant.
StartFraction pi Over 2 EndFraction
Pi
StartFraction 3 pi Over 2 EndFraction
2 pi

or (A.K.A)

For which value of ∅ is sin∅ = -1?

A. /2
B.
C. 3/2
D. 2

Answers

Check the picture below.

If the sin θ is equal to the negative one then the value of the θ will be 3π / 2. Then the correct option is C.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

A unit circle is shown.

A radius with length 1 forms angle θ in the first quadrant.

Then the sin θ is equal to the negative one. Then the value of the θ will be

sin θ = -1

Then it can be written as

θ = sin⁻¹ (-1)

θ = 3π / 2

Thus, the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

when you reverse the digits in a certain two-digit number you increase its value by 45. Find the number if the sum of its digits is 13​

Answers

The answer is 58.

First, we need to find "x", being the number.

13+45=58X=58

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

How did we get 58 though?----------Steps---------Add 3+53+5=8Then add 1+41+4=5

Therefore, the answer is 58.

X=58

Hope this heIps!

If this helped...

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#LearningWithBrainly

divide 100 in the ratio 2:3.​

Answers

100/2+3 = 20
2*20= 40
3*20 = 60

b = 21 feet h = 16 feet Find the area of the triangle. 168 sq. feet 85 sq. feet 100 sq. feet 108 sq. feet

Answers

Answer:

168 sq

Np also you could've just searched it up

In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in², a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?

Answers

L= 18, W = 15 and H = ?
2*(15+18) + 2*151) + 2* (18H) = 540 + 30H + 36H
1.728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is
less than 18

Does anyone know what type of angle this is?

Answers

Answer:

SUPPLEMENTARY ANGLES

(ADJACENT ANGLES).

Step-by-step explanation:

< 4 and < 6 are on a straight line - adjacent angles and m < 4 + m <  = 180 degrees.  So they are supplementary angles also.

Please answer My Question.

Answers

Answer:

how many brothers do you have?

ted collected 22 pounds of aluminum cans, how many ounces of aluminum cans did he collect?

Answers

Answer:

352 oz

Step-by-step explanation:

1 lb = 16 oz

22 * 16 = 352

What is the range of the function f(x) = |x| + 3?

{f(x) ∈ ℝ | f(x) ≤ 3}
{f(x) ∈ ℝ | f(x) ≥ 3}
{f(x) ∈ ℝ | f(x) > 3}
{f(x) ∈ ℝ | f(x) < 3}

Answers

{f(x) ∈ ℝ | f(x) ≥ 3}  is the range of f(x) = |x| + 3

⇒ Range is in the y-axis

When graphing the following equation shown below:

f(x) ≥ 3f(x) ∈ ℝ[ 3, ∞ ]

Answer:

{f(x) ∈ ℝ | f(x) ≥ 3}

Step-by-step explanation:

The range of a function is the output values (y-values).

Absolute value is the distance of x from zero, so it is never negative.  It is denoted by a bar on either side of the term.

Therefore, as |x| ≥ 0 then |x| +3 ≥ 3

Therefore, the range of the function is {f(x) ∈ ℝ | f(x) ≥ 3}

forget it ill just search it on searchengine

Answers

Answer:

I'm a deku lover too! the answer is -589

Answer:the answer is bark bark woof

Step-by-step explanation:

my dog told me after he was done eating, it was crazy

Complete the table for each circle. Use paper to help you with your thinking

Help please

Answers

Answer:

written out in the explanation.

Step-by-step explanation:

Area of a circle = [tex]\pi r^{2}[/tex]

Circumference of a circle = [tex]2\pi r[/tex]

The radius is the center point of a circle to the edge of a circle. The diameter is a line from one edge of a circle to the opposite edge.

So, the radius is simply half of the diameter.

For circle A, the radius is 12. Therefore, the diameter is 24.

The circumference is 2·[tex]\pi[/tex]·12 ≈ 75.39822 inches. rounded, the circumference is 75.4 inches.

The area is [tex]\pi 12^{2}[/tex] ≈ 452.38934. rounded, the area is 452.39.

For B,

you have already solved the diameter and radius correctly, good job :). The steps for finding the circumference are the same as for circle A.

the circumference is 2·[tex]\pi[/tex]·6 ≈ 37.69911. rounded, the circumference is 37.7 inches.

the area is [tex]\pi 6^{2}[/tex] ≈ 113.09734. rounded, the area is 113.1.

For C,

the circumference is 12. We can use the circumference equation to solve for the radius.

12 = [tex]2\pi r^{2}[/tex]

divide both by 2[tex]\pi[/tex]

7.63943726841 = [tex]r^{2}[/tex]

square root of 7.63943726841 = 2.76395319577

radius = 2.76395 inches. rounded, the radius is 2.8 inches.

so, radius ·2 = 5.52790639154.

meaning diameter = 5.52791. rounded, the diameter is 5.5 inches.

the area is [tex]\pi 2.76395^{2}[/tex] ≈23.99994. rounded, the area is 24.

pleaseeeeeeeeee i need some help here

Answers

Answer:

1st Statement: False

2nd Statement: True

3rd Statement: True

4th Statement: False

Answer:

False

True

False

True

Step-by-step explanation:

Whole numbers are 'counting numbers', they don't include decimals. (ex. 1, 2, 3) Integers are non-decimal numbers and they can be negative too. (ex. -5, 0, 4). Since whole numbers are non-decimal numbers that are greater than or equal to 1, they are all integers. So this statement is False.

Rationals numbers include all numbers that are not infinite decimals. They can be fractions as long as they are not infinite and since whole numbers cannot be fractions, this statement is True.

As with the previous statement, rational numbers can be fractions and integers cannot be fractions. So, not all rational numbers are integers so this statement is False.

Rational numbers are all numbers that are not infinite decimals, so, that includes whole numbers. This statement is also True.

can someone answer this? What is (-3+5x)= 9?

Answers

Answer:

(-3+5x)=9

open the bracket.

-3+5x=9

collect like terms.

5x=9+3.

5x=12

divide both side by 5

5x/5=12/5

x=2.4


HELPPP WHATS THE AREA

Answers

i think it’s 120 bc of the formula for area of trapezoid (i’d write it but it’s kinda complex)

Answer:

Area of the trapezoid is 120

To cook fondant, sugar and water are heated to 230°F. Then the mixture
is cooled at room temperature before it is kneaded. If the cooked fondant
cools to 200°F in 15 minutes in a 68°F kitchen, how long will it take to
cool to 100°F? (Hint: Find the constant k first.)

Answers

Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.

Newton's law of cooling

According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.

Now;

T(t) = T(s) + (To - Ts)e^-kt

T(t) = temperature at time T

To = initial temperature

Ts = temperature of the surrounding

k = colling constant

t = time taken

200 = 68 + (230 - 68)e^-15k

200 = 68 + 162e^-15k

200 - 68/162 = e^-15k

ln(0.815) = -15k

k = ln(0.815)/-15

k = 0.014 min-1

Now;

100 = 68 + (230 - 68)e^-( 0.014t)

100 -68/162 = e^-( 0.014t)

0.198 =e^-( 0.014t)

ln(0.198) = -( 0.014t)

t = ln(0.198)/-0.014

t = 116 mins

Learn more about newtons law of cooling: https://brainly.com/question/14643865:

Which of the following is a simpler way to write startfraction cosine theta over sine theta endfraction? tan theta sec theta csc theta cot theta

Answers

The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.

We have the expression:

[tex]\rm \frac{cos \theta}{sin \theta}[/tex]

we know that

[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]

also,

[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]

So, By using these trigonometry formulas, we get:

 [tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]

Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex]  is cot [tex]\theta[/tex].

Know more about trigonometry here:

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Answer:

D. cot 0

Step-by-step explanation:

I need help on this here is the question
Question: If sally has ? cake's and Give away 15 and has 9 left how much did she have before she gived away?
I have 5 days until I have hand it in to My teacher

Answers

Answer:

Step-by-step explanation:

24

pls help with math it is due soon​

Answers

Answer:

x = 25

Step-by-step explanation:

[tex]x=25\sqrt 2 \times \cos 45\degree\\\\\implies x = 25 \cancel{\sqrt{2} }\times \frac{1}{ \cancel{\sqrt{2} } } \\ \\ \implies \: x = 25[/tex]


1. According to the food label on a box cookies, each box has 16
servings and each serving contains 4 cookies. The weight of the
box of cookies is 1/2
kilograms. What is the weight of each
cookie?

Answers

Answer:

Step-by-step explanation:

Formula

Total number of cookies = number servings * number of cookies in serving

Givens

Number of servings = 16

Number of cookies in each serving=4

Total Mass = 0.5 kg

Solution

Total number of cookies = 16*4

Total number of cookies = 64

Total mass of box = # cookies * mass of 1 cookie

Total Mass of box = 0.5

# cookies = 64

0.5 kg = 64 * mass 1 cookie           Divide by 64

0.5 / 64 = 64*mass 1 cookie/64     Compute

Answer: mass 1 cookie = 0.0078 kg

This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.

The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.

Please help I will give brainliest.

Answers

Answer:

3rd graph

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

19.5 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

14^2 + b^2 = 24^2

196 + b^2 = 576

Now we subtract!!

576 - 196 = b^2

380 = b^2

Now we find the square root!!

[tex]\sqrt{380}[/tex] = 19.5 :)

Have an amazing day!!

Please rate and mark brainliest!!

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 18 inches, and the length of the base is
17
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.

Answers

Answer:56.8 inches

Step-by-step explanation:

For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.

the triangle is cut directly in half so both halves of the base are 17/2

17/2 = 8.5

solve through pythagoren theorum

altitude^2 + (half of base)^2 = (diagonal length)^2

18^2 + (8.5)^2 = (diagonal length)^2

324 + 72.25 = (diagonal length)^2

396.3 = (diagonal length)^2

[tex]\sqrt{396.3}[/tex] = diagonal length

diagonal length = 19.9

diagonal length + diagonal length + base = perimeter

19.9 + 19.9 + 17 = perimeter

56.8 inches = perimeter

i do not know this answer

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:14 {g}^{2} [/tex]

plug the value of given as -1 :

[tex]\qquad \tt \dashrightarrow \:14( - 1) { }^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:14(1)[/tex]

[tex]\qquad \tt \dashrightarrow \:14[/tex]

Do, the equivalent term is 14

Researchers used two footballs of the same size to examine the effect of helium on kicking distance. One football was filled with air, and the other was filled with helium. Eleven people participated in the study. Each person kicked the football filled with air and the football filled with helium, and the kicking distances, in yards, were recorded. The football that was kicked first was determined by the flip of a fair coin, and the people did not know which football was filled with air and which was filled with helium. What type of study was conducted by the researchers and, of the following, which is the appropriate t-interval for inference?.

Answers

For the study conducted by the researchers,

The type of study that was conducted is a matched-pairs designThe appropriate t-interval for inference is a t-interval for a mean difference

How to determine the type of study?

From the question, we have the following highlights:

One football was filled with air (the control group)The other was filled with helium (the experimental group)

When a study used a control group and an experimental group, then such study is a matched-pairs design.

How to determine the appropriate t-interval for inference?

The appropriate t-interval for inference for a matched-pairs design is the  t-interval for a mean difference

Read more about matched-pairs design at:

https://brainly.com/question/16448112

the mp of a radio is 20 percent more than its cp. the radio is sold to make the profit of 10 z. If the profit is Rs 80 , what is the mp?​

Answers

Answer:

M.P. = [(100 + Gain%)/(100 – Discount%)] × C.P.

3 + 90 ÷ 10=
Please answer this quistion i alredy know the answer who ever gets it right will earn a lot of points.

Answers

Answer: 12

Step-by-step explanation:

Start with 90/10 which gets you 9

Then add 3 and 9 which is 12

Answer:

12

Step-by-step explanation:

Order of operations says to do the division first

90/10 = 9

Then add the rest

9+3 = 12

Please help quick if possible
(using the image below)
Find the axis of symmetry

Answers

Answer:

-2, 10

Step-by-step explanation:

From the image, I'm pretty sure it's asking you to find where the line can be "cut" into to make it symmetrical. If this is true, you would need to find a half way mark in the graph, or try and plot this on the graph.

Valeria's living room is 9 meters wide and 10 meters long. She wants to install green carpet that costs $5.00 per square meter. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$450

Step-by-step explanation:

cost = area × price per square meter

cost = LW × $5/m²

cost = 90 m² × $5/m²

cost = $450

Answer:

$450

Step-by-step explanation:

9x10=90 meters

90x5=$450

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