The area of the rubber coating for a flat roof was 96 ft². The rectangular frame the carpenter built for the
flat roof has dimensions such that the length is 4 ft longer than the width. What are the dimensions?

Answer:

  (5, 2)

Step-by-step explanation:

The question is asking you to express the temperature at 5 pm as a pair of graph coordinates.

Doing this requires that you ...

__

The description of the graph tells you the horizontal scale is hours after noon, so the temperature at 2 pm will be a point on the graph with an x-coordinate of 2. That point is (2, 7), indicating the temperature at 2 pm is 7 °C.

Likewise, the temperature at 8 pm is shown as the point on the graph with x-coordinate 8. That point is (8, -3), indicating a temperature of -3°C at 8 pm.

The temperature halfway between those values (7 °C and -3 °C) can be found several ways. Perhaps the easiest is to average the values:

  (7 +(-3))/2 = 4/2 = 2

The temperature at 5 pm is 2 °C.

Coordinates on the graph are ordered pairs of the form (x, y) = (hours, °C). The time 5 pm is 5 hours after noon, so the x-coordinate is 5. The temperature at 5 pm is halfway between the temperatures at 2 and 8 pm, which we have computed to be 2 °C, so the y-coordinate is 2.

The coordinates that represent the temperature at 5 pm are ...

  (5, 2)

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

Let's get it solved ~

We have been given length and width of a rectangle in terms of x ~

that is :

Area of the rectangle is given ~ i.e 24 unit²

Area of rectangle in terms of x is :

[tex]\qquad \sf  \dashrightarrow \:(x - 2) \sdot(x + 3) = 24[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 3x - 2x - 6= 24[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} +x - 6 - 24 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} +x -30= 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 6x - 5x - 30 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{}( x + 6) - 5(x + 6)= 0[/tex]

[tex]f(x) = \begin{cases}x = - 6 \: \textsf{ \: if \:x + 6 = 0 } \\ \\ x = 5 \: \: \: \: \: \: \textsf{if \: x - 5 = 0} \end{cases}[/tex]

but since side of a rectangle can't be negative, we have to take value of x as 5

now, Perimeter of rectangle is ~

[tex]\qquad \sf  \dashrightarrow \:2(width \: + \: length)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(x - 2 + x + 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(2x + 1)[/tex]

plug In the value of x ~

[tex]\qquad \sf  \dashrightarrow \:2(2(5) + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(10 + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(11)[/tex]

[tex]\qquad \sf  \dashrightarrow \:22 \: \: units[/tex]

So, the correct choice is b~

Answer:

$659 weekly

Step-by-step explanation:

John Dalton earns $34,268 annually (yearly)

We want to find his weekly rate if he is paid weekly.

To do so we divide his annual salary by the number of weeks in a year (52)

So weekly rate = 34,268 / 52 = 659

Answer:

its is true just keep practicing applying urself love<33

Answer:for area you times them and for perimiter you add

Step-by-step explanation:

hope you understand

Using supplementary angles, it is found that the measures of the angles are given as follows:

Supplementary angles are two angles whose sum is of 180º.

An interior angle is supplementary with it's exterior angle, hence:

m<a + 150º = 180º -> m<a = 30º.

The sum of the three interior angles of a triangle is of 180º, hence:

30º + m<b + 60º = 180º

90º + m<b = 180º

m<b = 90º.

More can be learned about supplementary angles at https://brainly.com/question/12919120

#SPJ1

Answer:

calculator soup can help just search what you're learning into g o o g l e and add calculator at the finish have a nice day

Answer:

[tex]y=\frac{3}{4} x-3[/tex]

Step-by-step explanation:

Given information: x-int: 4 and y-int:-3

x-int point : (4,0).

y-int point : (0,-3).
Plug this information to point-slope form to solve for m and then convert that to slope-intercept form.

[tex]y-y_0=m(x-x_0)\\0-(-3)=m(4-0)\\3=4m\\m=\frac{3}{4} \\[/tex]

[tex]y-y_0=m(x-x_0)\\y-(-3)=\frac{3}{4} (x-0)\\y+3=\frac{3}{4}x\\y=\frac{3}{4}x-3[/tex]

Answer:

  x = 20

Step-by-step explanation:

The problem tells you the relationship between time, distance, and speed. Use the given relations to find the total journey time.

__

  total time = Journey A time + Journey B time

  total time = (distance A)/(speed A) + (distance B)/(speed B)

  total time = 15/x +6/(x+4) = 1 . . . . . using the given values

Multiplying by x(x+4) we have ...

  15(x +4) +6(x) = (x)(x +4)

  21x +60 = x² +4x

  x² -17x -60 = 0 . . . . . rearrange to standard form

  (x -20)(x +3) = 0 . . . . factor the equation

  x = 20  or  x = -3 . . . values of x that satisfy the equation

We know the speed must be positive, so x = -3 is an extraneous solution.

The value of x is 20 (km/h).

Answer:

2,985 yes votes

Step-by-step explanation:

Ratio of yes votes to no votes was 5 to 8, we can write the following equation:

Yes : no : total = 5 : 8 : 13

Knowing the total votes was 7,761, thus the number of yes votes = (5/13) * 7,761 = 2,985 votes.

Answer:

Number 1 could be -x.

I don't know the answer to number 2.

Number 3 is the same as 1.

Step-by-step explanation:

sorry. i probably would know the answer if i remembered.

Answer:

6.25 bags of popcorn

Answer:

6.25 Bags

or

6 whole bags

Step-by-step explanation:

= 25 * 0.25 <-- (This is how you write percentage algebraically)

= 6.25 Bags

Answer:

Using 22/7 as pi, the area of a circle with a diameter of 14 metres is:

154 m²

Step-by-step explanation:

To solve, use the formula for the area of a circle.

Remember the formula for area of a circle. Be careful not to mix up the formula for area with the formula for circumference!

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

From the question, we know:

To use the formula, we need the radius ("r").

The radius is a line that goes from the centre point of the circle to the circle outline. It is half the length of the diameter.

The diagram shows the diameter ("d"), which goes through the centre point of the circle. It is twice the length of the radius.

Solve for "r".

r = d/2

r = (14 m)/2

r = 7 m

Substitute r = 7 m and π = 22/7  into the formula for the area of a circle.

[tex]A = \pi r^{2}[/tex]                         Start with the formula and substitute.

[tex]\displaystyle{A = \frac{22}{7} (7\ m)^{2}}[/tex]                Square "7" and the "m".

Remember that the answer for area is always squared units.

[tex]\displaystyle{A = \frac{22}{7} (49\ m^{2})}[/tex]      

Multiplying a fraction and whole number is the same as multiplying the whole number in the numerator (top of the fraction).

[tex]\displaystyle{A = \frac{22*49}{7}m^{2}}[/tex]              Simplify the numerator.

[tex]\displaystyle{A = \frac{1078}{7}m^{2}}[/tex]                  Divide.

[tex]A = 154\ m^{2}[/tex]                   Final answer

∴ The area of the circle is 154 m².

Answer:

108 cm that my answer

sana makatulong

The answer is 508.9 cubed

108cm cubed is wrong

Answer:

62 Inches

Step-by-step explanation:

It can be seen from the figure.

[tex]{ab}^{2} = {ac}^{2} + {bc}^{2} [/tex]

Pythagoras

AB= 13

So the perimeter is

[tex](13 + 18) \times 2 = 62[/tex]

Answer:

Step-by-step explanation:

When looking for patterns in a sequence, it is useful to look at differences, ratios, and differences of differences. Here, the terms have a common ratio:

  405/-1215 = -135/405 = 45/-135 = -15/45 = -1/3

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For this sequence, each number is -1/3 times the previous number.

The next number is (-15)(-1/3) = 5.

A diagram of parallelogram MNOP is attached below

We have side MN, || side OP, and side MP || NO

Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.

Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.

∠N and ∠O are supplementary by the rules of angles in parallel lines

∠O and ∠P are supplementary by the rules of angles in parallel lines

∠N+∠O=180° and ∠O+∠P=180°

∠N and ∠P are of equal size

we deduce further that ∠M and ∠O are of equal size

Hence, the correct statement to complete the proof is

∠M ≅ ∠O; ∠N ≅ ∠P

Answer:

A

Step-by-step explanation:

(5,2)

(5+1,2-1)

(6,1)

Dilation of 2 from origin

6x2=12

1x2=2

(12,2)

Answer:

1) 12

2) an=n²+n-6/2

3) the 25th term

Step-by-step explanation:

check explanation in the attached image

Answer:

no

Step-by-step explanation:

Answer: 15.09967ft

Step-by-step explanation: w=d2﹣l2=222﹣162≈ hope this helps ^^

Answer:

sin(t) = 4*sqrt(5) / 21; cos(-t) = 19/21

Step-by-step explanation:

think of a right triangle with an adjacent leg a, opposite leg b, and hypotenuse c.

cos(t) = a/c = 19/21. so we can assume a=19 and c=21.

using Pythagorean's theorem, find b: b = sqrt(21^2 - 19^2) = 4*sqrt(5) or 8.944

since tan(t)> 0, b/a > 0 and a is positive so b must be positive. using this information, we know sin(t) = b/c = 8.944/21 or 4* sqrt(5) / 21

since cos x is an even function, cos(-x) = cos x so cos(-t) = cos(t) = 19/21

Answer:

(-0.6, 8.4)

Step-by-step explanation:

so first, we have to find out what x is. because y is equal to itself, we can substitute to get

[tex]x+9=-4x-6\\5x+9=6\\5x=-3\\x=-\frac{3}{5}[/tex]

now we can plug in the value of x to find y

[tex]y=-\frac{3}{5} +9\\y=8\frac{2}{5}=8.4[/tex]

your answer is written in the form (x,y) so the answer is (-0.6, 8.4)

Answer: Heyaa! ~

Your Answers are... (-0.6, 8.4)

Step-by-step explanation:

Hopefully this helps you!

~ Lets solve:

Use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation. You can then solve this equation as it will now have only one variable.

Total balls: 6 + 4 + 3 = 13

First pick green = total green / total balls = 4/13

adter picking the first ball there are 12 balls left.

Picking red = total red/ total balls left = 6/12 = 1/2

probability of picking both = 4/13 x 1/2 = 4/26 = 2/13

answer: 2/13

Answer:

384 cm^2.

Step-by-step explanation:

This equals the area of 2 triangles + 3 rectangles.

= 2 * 1/2 * 6 * 8 + 14 * 6 + 14 * 8 + 14 * 10

= 48 + 84 + 112 + 140

= 384 cm^2.

Answer:

4.03 < 16.5

Step-by-step explanation:

Four and three hundreths = 4.03

sixteen and five-tenths = 16.5

4.03 < 16.5

Answer: 114.8

Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser