Two triangles are cut from a rectangle to form a trapezoid. What is the ratio of the area of the trapezoid to the combined area of the triangles? A 18:54 C 54:18 B 18:72 D 72:18 12 in group of students is painting a background piece​

Answer:

Step-by-step explanation:

u and s are the number or unstained and stained benches sold, respectively.

Lyle sold 21 benches for $600

u + s = 21

s = 21-u

20u + 32s = 600

20u + 32(21-u) = 600

-12u = -72

u = 6

Lyle sold 6 unstained benches.

Hi there!

643*8.4=76.5476190476

Answer:

x=3

Step-by-step explanation:

2 times a number equals 6

you can divide 6 by 2 to get 3

and then to prove it, make x=3 and rewrite

2 * 3 = 6

Answer:

x=3

Step-by-step explanation:

2⋅x=6

First, we multiply the 2 and the x

2x=6

Next, we transfer the 2 over to the 6. When we do that, we are dividing because we do the opposite of multiplication.

x=6÷2

Solve!

x=3

Hope this helps!! Please give Brainliest!!

Answer:

Elements in third column = - (elements in the first column) + 8(elements in the second column)

Step-by-step explanation:

A matrix is a rectangular array in which elements are arranged in a rows and columns.

Order of a matrix = Number of rows × Number of columns

Given matrix is [tex]\left[\begin{array}{ccc}1&2&15\\7&8&57\\6&5&34\end{array}\right][/tex]

Here,

[tex]15=-1+8(2)\\57=-7+8(8)\\\34=-6+8(5)[/tex]

So,

Elements in third column = - (elements in the first column) + 8(elements in the second column)

Answer:

2?

Step-by-step explanation:

I think im wrong/ creo que estoy mal?!

Answer:X=3

Step-by-step explanation: Option B

Answer:

a. Z-test of a population mean.

Step-by-step explanation:

The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.

This means that we have a large sample, which means that we can consider this to be the standard deviation for the population, which eliminates the t-test, leaving options a and c.

Population mean or proportion?

Mean, as a proportion is a value between 0 and 1, while average revenue may have lots of possible values. So the answer is given by option A.

Answer:

Congruent

Step-by-step explanation:

Hope that helps!

Answer:

Radius, Diameter and Circumference

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

:)

Answer:

Radius = 8.7 cm

Step-by-step explanation:

The height and hypotenuse of the triangle is provided, so all we have to do is use the Pythagorean Theorem. [tex]\sqrt{15^{2}-12.2^{2}}[/tex] and this yields the answer.

Answer:

Here ig

Step-by-step explanation:

Answer:

m/3=2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer and Step-by-step explanation:

90ft = a

55ft = b

50ft = c

Plug into equation.

[tex]50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4[/tex]

29.4° is the answer.

Answer:

[tex]A = (5,3)[/tex]

[tex]B = (-5,3)[/tex]

[tex]C = (-5,-8)[/tex]

[tex]D = (5,-8)[/tex]

Step-by-step explanation:

Required

[tex]Perimeter = 42[/tex]

Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.

First, name the rectangle ABCD.

Such that:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_2,y_2)[/tex]

[tex]C = (x_3,y_3)[/tex]

[tex]D = (x_4,y_4)[/tex]

For the rectangle to be either horizontal or vertical, then:

[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]

We have that:

[tex]Perimeter = 42[/tex]

Replace perimeter with its formula

[tex]2(AB + BC) = 42[/tex]

Divide both sides by 2

[tex]AB + BC = 21[/tex]

This implies that, the distance between adjacent sides (through the edges) must be equal to 21

Having said that: a set of coordinates that satisfy the given conditions are:

[tex]A = (5,3)[/tex] -- First quadrant

[tex]B = (-5,3)[/tex] -- Second quadrant

[tex]C = (-5,-8)[/tex] -- Third quadrant

[tex]D = (5,-8)[/tex] -- Fourth quadrant

The above quadrants satisfy the condition:

[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]

HOW TO KNOW THE PERIMETER IS 42

To do this, we simply calculate the distance between the edges and add them up

Distance is calculated as:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

For AB

[tex]A = (5,3)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10[/tex]

For BC

[tex]B = (-5,3)[/tex]

[tex]C = (-5,-8)[/tex]

[tex]D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]

For CD

[tex]C = (-5,-8)[/tex]

[tex]D = (5,-8)[/tex]

[tex]D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10[/tex]

For DA

[tex]D = (5,-8)[/tex]

[tex]A = (5,3)[/tex]

[tex]D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]

So, the perimeter is:

[tex]P = D_1 + D_2 + D_3 + D_4[/tex]

[tex]P = 10 + 11 + 10 +11[/tex]

[tex]P = 42[/tex]

See attachment for rectangle

Answer:

27

Step-by-step explanation:

y = kx, where k is the constant of proportionality.  If x = 2 and y = 6, that constant is determined as follows:

6 = k(2), or k = 3.  Then y = 3x.  When x = 9, y = 27

Answer:

its latter A

Step-by-step explanation:

i hope its help

Answer:

The spinner can land on the same color twice in a row, so there should be 16 possible outcomes

Step-by-step explanation:

4 possible outcomes with the same color

RR, OO, GG and BB.

Total Ways = 12+4=16

Answer:

(a) [tex]\bar x= 1.583[/tex] -- Population Mean

(b) [tex]s = 1.032[/tex] --- Population standard deviation

(c) See Explanation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84[/tex]

[tex]\sum x = 31.66[/tex]

[tex]n = 20[/tex]

So, we have:

[tex]\bar x= \frac{31.66}{20}[/tex]

[tex]\bar x= 1.583[/tex]

Solving (b): The population standard deviation

This is calculated as:

[tex]s = \sqrt{\frac{\sum( x - \bar x)^2}{n}[/tex]

[tex]\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2[/tex]

[tex]\sum (x -\bar x)^2 = 21.29222[/tex]

So:

[tex]s = \sqrt{\frac{21.2922}{20}[/tex]

[tex]s = \sqrt{1.06461}[/tex]

[tex]s = 1.032[/tex]

Solving (c):

Population mean tells the average amount while the standard deviation represents the spread from the calculated mean

Option (4) is correct

Answer:

15 units

Step-by-step explanation:

[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]

[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]

[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]

Hope it helps....

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y intercept is 2

and slope is rise /run

taking points (0,2) and (2,3)

we get slope= 3-2/2-0=1/2

we know the eqaution is y=mx+b where m is the slope and b the y intercept

so y=1/2x+2 which is A/ the first one

if my answer helps please mark as brainliest

Answer:

According to my evaluations this equation is very petty and most likely has an answer. There are variables and numbers "3x". This part of the equation makes me feel special because 3 is a prime number. It is also mysterious because we dont know for sure what x is. This equation teaches the mathematician the true meaning of life. As it demonstrates the complexity, the information you know for sure and the information that you will learn in the future. The reader will also learn that not all problems can be solved and the ones that can be solved should be solved with varying difficulty. Finally the individual will realize that everyone has their own method to solve problems and go about life. In conclusion, this pretty equation teaches the mathematician about the importance of hard work and acceptance of everyone in their community.

Answer:

8.6x-2.8

Step-by-step explanation:

Also i feel like ik u from school or something.

There was this girl who had the exact last name and first name

Answer:

the answer is 17.0 or just 17

Step-by-step explanation:

you have to use the pythagorean theorem, a^2 + b^2 = c^2

a = 11 and b = 13

11^2 + 13^2 = c^2

121 + 169 = c^2

290 = c^2

square root each side, so you have to find the square root of 290 which is 17.0293864

round it to the nearest tenth which is 17.0 but you can just write 17

hope this helps you understand it and answer it :)

Answer:

[tex]\boxed {\boxed {\sf c \approx 17.0}}[/tex]

Step-by-step explanation:

This is a right triangle because of the small square in the corner. Therefore, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Where a and b are the legs and c is the hypotenuse.

In this triangle, 11 and 13 are the legs because they make up the right angle. The missing side is the hypotenuse because it is opposite the right angle.

[tex]a=11\\b= 13[/tex]

[tex](11)^2+(13)^2=c^2[/tex]

Solve the exponents.

[tex]121+169=c^2[/tex]

Add.

[tex]289=c^2[/tex]

We are trying to solve for c, so we must isolate the variable. It is being squared. The inverse of a square is the square root, so take the square root of both sides.

[tex]\sqrt {289}= \sqrt {c^2}[/tex]

[tex]17.0293864=c[/tex]

Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 0 in the tenth place.

[tex]17.0 \approx c[/tex]

The missing side is approximately 17.0

Answer:

D it

Step-by-step explanation:

We have two equations, A quadratic and a linear equation.

The domain of a linear equation and quadratic equation is all real numbers but since it dealing with time we must make sure the roots or x-intercepts is positive.

Looking at the quadratic equation, we can use the discramnt formula to see if all roots are positve.

[tex]b {}^{2} - 4ac [/tex]

[tex] { - 6}^{2} - 4(1)(8.75)[/tex]

[tex]36 - 35 = 1[/tex]

The discramnt is greater than zero so there is two distinct real roots. So let check if they are positve

If you graph the equation, it intercepts at two positve roots so it is D

Answer:

Austin will take 9 hours to paint a room and dale with take 3 hours to paint a room

Step-by-step explanation: