Factor the expression completely
9z+15

The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²

The area of the composite figure is the sum of the area of the whole figure.

Therefore, the composite figure can be divided into 2 triangles and two rectangles.

Hence,

area of triangle1 = 1 / 2 × 10 × 13 = 65 m²

area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²

area of the rectangle1 = 8 × 3 = 24 m²

area of rectangle2 = 7 × 6 = 42 m²

area of rectangle3 = 5 × 6 = 30 m²

Therefore,

area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared

learn more on area here: https://brainly.com/question/27744042

#SPJ1

Answer:

6

Step-by-step explanation:

Answer:

its already in order from least to greatest

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

⠀

⠀

[tex] \Large \frac{ {x}^{p(q - r)} }{ {x}^{q(p - r)} } \div {( \frac{ {x}^{q} }{{x}^{p} } })^{r} [/tex]

⠀

⠀

⠀

⠀

[tex] \sf \Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \div \frac{ {x}^{qr} }{ {x}^{pr} } [/tex]

⠀

⠀

⠀

[tex] \sf\Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \times \frac{ {x}^{pr} }{ {x}^{qr} } [/tex]

⠀

⠀

⠀

[tex] \sf {x}^{pq - pr - pq + qr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - pr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - qr + pr - pr} [/tex]

⠀

⠀

⠀

[tex] \sf \Large{ {x}^{0} } \\ \\ \boxed {\large {\rightarrow1 }}[/tex]

Answer:

1

Step-by-step explanation:

Solving :

⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex](\frac{x^{q} }{x^{p} })^{r}[/tex]

⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex][ ({x^{q-p} })^{r}| or| x^{r(q-p)} ][/tex]

⇒ [tex]{x}^{pq-pr-qp+qr}[/tex] ÷ [tex]x^{rq-rp}[/tex]

⇒ [tex]x^{pq-pq+qr-qr+pr-pr}[/tex]

⇒ x⁰

⇒ 1

Answer:

n = 150/6

or

n = 25

Step-by-step explanation:

Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.

Therefore, n = 150 / 6

If you make the division n = 25

Answer:

{y,x} = {-8,-2}

Step-by-step explanation:

Hope this helps.

Answer:

1/2

Step-by-step explanation:

The x-intercept is a point on the graph that is located on any point of x but must have a y-value of 0. To find the x-intercept, we must set y in the given equation equal to 0.

8x + 2y = 4

8x + 2(0) = 4

8x = 4

x = 4/8

x = 1/2

Using the Euclidean algorithm  integer integers $x$ and $y$  is: [ (-30 + 37k ), (133 - 164k) ].  

Given:

$164x + 37y = 1

First step

Sequence of quotients

4(37) + 16=164

2(16) + 5=37

3(5) + 1=16

4(1) + 1=5

1(1) + 0=1

       4     2     3     4     1

1 0     1     2     7    30    37

0 1     4     9    31  133  164

Determinant

(164×30) - (37×133)

=4,920-4,921

= -1

164(-30) + 37(133)

=-4,920+4,921

= 1  

Second step

Integer

[(x + bk), (y - ak) ]

Where:

x = -30

y = 133

k=integer

Hence:

[ (-30 + 37k ), (133 - 164k) ]  

Therefore using the Euclidean algorithm the integer is: [ (-30 + 37k ), (133 - 164k) ].  

Learn more about Eucledian Algorithm here:https://brainly.com/question/24836675

#SPJ1

Answer:

25.12

Step-by-step explanation:

c=(pi)(d)

c=3.14*8

c=25.12

Answer:

see below

Step-by-step explanation:

You will need the hypotenuse   12 ^2 + 9^2 = h^2   h = 15

In a right triangle:

S O H   C A H  T O A

sin s  =   S A H  = Opposite / Hypotenuse =   12/15

cos r = C A H  = Adjacent / Hypotenuse    = 12/ 15

Tan s = T O A =  12 / 9

cos (theta) = cos s  = 9 / 15

Tan r = 9/12

arc cos(theta) = theta = arccos(9/15) = 53.13 degrees

Answer:

x = 24

Step-by-step explanation:

Sinθ = opposite side / hypotenuse

Sin30° = AB/BC

½ = 12/x

x = 12 × 2

x = 24

Answer:

x = 24

Step-by-step explanation:

SOH (Sin = Opposite/Hypotenuse)

CAH (Cos = Adjacent/Hypotenuse)

TOA (Tan = Oppositie/Adjacent)

The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.

Sin(30) = 12/x

Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5

0.5 = 12/x

Multiply each side by x

0.5x = 12

Divide off 0.5 from both sides

x = 24

The five consecutive even integers such that the four times the first number plus the fourth number is 35 are 6 , 8, 10, 12, and 14.

The even integers are consecutive. Therefore,

let the first even integer = x

Therefore, the sequence is as follows:

x, x + 2, x + 4, x + 6, x + 8.....

Therefore,

4x + x + 6 = 36

5x + 6 = 36

5x  = 36 - 6

5x = 30

x = 30 / 5

x = 6

Therefore, the numbers are as follows;

learn more on integers here:https://brainly.com/question/15381903

#SPJ1

Answer:

Step-by-step explanation:

Step 1: What are the couch's original coordinates?

Step 2: Rotate the couch 90° counterclockwise.

Rule: (x, y) → (-y, x)

Step 3: Now reflect the "new" couch over the y-axis.

Rule: (x, y) → (-x, y)

Step 4: Finally translate the new new" couch right 1 unit and up 5 units.

Rule: (x + 1, y + 5)

Step 5: Use the distance formula to show that the length of EG is the same as the length of E'''G'''.

Distance between E(-5, 4) and G(-1, 3)

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(-1-(-5))^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{(-1+5)^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{4^2+(-1)^2}$}\\\\\ \large \textsf {d = $\sqrt{16+1}$}\\\\\large \textsf {d = $\sqrt{17}$}\\\\\large \textsf {d = ${4.12}$}[/tex]

Distance between E'''(5, 0) and G'''(4, 4)

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(4-5)^2+(4-0)^2}$}\\\\\large \textsf {d = $\sqrt{(-1)^2+4^2}$}\\\\\large \textsf {d = $\sqrt{1+16}$}\\\\\ \large \textsf {d = $\sqrt{17}$}\\\\ \large \textsf {d = ${4.12}$}[/tex]

This means that the length of EG is the same as the length of E'''G'''.

Hope this helps!

Answer:

the surface area of a rectangular prism

Step-by-step explanation:

Answer: radius

Step-by-step explanation:

     The radius is the distance halfway across a circle. Since C is the center of the circle and E is along the outside, the answer is;

                       Radius

Answer:

you didnt show any picture so i cant answer

Step-by-step explanation:

Answer:

D OR B hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

Q6

Answer:

Step-by-step explanation:

Comment

A rational number is one that can be expressed as x/y. The first statement is false. All whole numbers are rational. They can always be expressed as x/1

Some rational numbers are not whole numbers. That's true. 4/7 is rational but not whole.

Some irrational numbers are not integers. I'm tempted to say this is true.

pi is irrational and it certainly is not an integer.

Answer

false

true

true.

Answer:

a. 10 - [tex]\frac{2}{5}[/tex] = [tex]9\frac{3}{5}[/tex] or 9.6

b. 25 - [tex]\frac{3}{25}[/tex]= [tex]24 \frac{22}{25}[/tex] or 24.88

c. 105-[tex]\frac{84}{84}[/tex] = 104.0

d. 170 - [tex]\frac{125}{125}[/tex] = 169.0

Answer: 3

Step-by-step explanation:

Answer:

were is the circle to be to be equated

Answer:

In the white box with the "?" PUT 40

final answer: 13/20

Step-by-step explanation:

4/10 + 25/100

can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.

4/10 + 25/100

= 40/100 + 25/100

Keep the bottom, add the tops.

= (40+25)/100

= 65/100

always simplify when possible. 5 goes into both 65 and also 100

65/100

= 13/20

13/20 of Shira's garden is planted with carrots and potatoes.

Answer:

The answer to ur question is C

Applying the trigonometric ratios and the triangle sum theorem, the missing lengths and angles are:

AB = 27.2 units

BC = 33.5 units

AC = 50.4 units.

m∠A = 38°

m∠ABC = 112°

The trigonometric ratios, SOHCAHTOA, are used to find the sides or angles of a right triangle.

Find BD using TOA:

tan ∅ = opp/adj

tan 30 = BD/29

BD = tan 30 × 29

BD = 16.7 units

Find AD using TOA:

tan ∅ = opp/adj

tan 52 = AD/16.7

AD = (tan 52)(16.7)

AD = 21.4 units

Find AB using SOH:

sin 52 = 21.4/AB

AB = 21.4/sin 52

AB = 27.2 units

Find BC using CAH:

cos 30 = 29/BC

BC = 29/cos 30

BC = 33.5 units

Find AC:

AC = AD + DC

AC = 21.4 + 29

AC = 50.4 units.

m∠A = 180 - 52 - 90 = 38° (triangle sum theorem)

m∠ABC = 180 - m∠A - m∠C (triangle sum theorem)

m∠ABC = 180 - 38 - 30

m∠ABC = 112°

Learn more about the trigonometric ratio on:

https://brainly.com/question/10417664

#SPJ1

1.a. Typical number chosen = the median value = 6

b. 27

2. a. 21

b. b. How the scores vary = Range of the scores = 5

c. Mode = 8

d. Median = 8

Range = Highest value - least value

Mode = most occurred data point

Median = center value of the data distribution (typical value of a dot plot).

1. a. Typical number chosen = the median value (center value) on the dot plot = 6

b. The number enrolled = number of student represented on the dot plot + 2 students absent = 25 + 2 = 27.

2. Data given: 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10

a. There are 21 data points given, therefore, the number of students in the afternoon math class is: 21.

b. How the scores vary = Range of the scores = 10 - 5 = 5

c. Mode of the data = 8

d. Median score = 8

Learn more about the range, mode, and median on:

https://brainly.com/question/542771

#SPJ1

Answer:

Explaination:

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 >> Y = 24

75

STEP 2 >>

24 × 100 = 32

75 × 100 100

STEP 3>> Y = 32%

Finally, we have found the value of Y which is 32 and that is our answer.

You can use a calculator to find what percent of 75 is 24, just enter 24 ÷ 75 × 100 and you will get your answer which is 32.

Answer:

32

Step-by-step explanation:

(75/100) × X = 24

75X = 2400

75X/75 = 2400/75

X = 32

32% of 75 gives you 24

Answer:

68 mph

Step-by-step explanation:

80 m/hr * 2 hr = 160 miles

60 m/hr * 3 hr = 180 miles

total miles / total time = average speed

340 miles / 5 hr = 68 m p h