Question 5 (1 point)
Calculate the area of this composite shape. Use the ti key on the calculator. Round answer
to tenths.
10 yd
12 yd
13 yd
13 yd
Area =
yd2

Answer:

B) 0.8

Step-by-step explanation:

If events are said to be independent, then just multiply the probability of the first event by the second if they are supposed to be happening together.

P (A) * P (B) = 0.8 x 1 = 0.8

Answer: Width = 3cm

Length = 8cm

Step-by-step explanation:

Length = x+5 cm

Width = xcm

Area = 24cm²

Area of a rectangle = length × width

x × (x + 5) = 24

x² + 5x = 24

x² + 5x - 24 = 0

x² + 8x - 3x - 24 = 0

x(x + 8) - 3(x + 8) = 0

x - 3 = 0

x = 3

Width = 3cm

Since length = x + 5 = 3 + 5 = 8cm

Length = 8cm

Answer:

x = 4.5

Step-by-step explanation:

a^2 + b^2= = c^2

4^2 + 2^ = c^2

16 + 4 = c^2

20 = c^2 --> find square root of 20 and round to nearest tenth*

4.47 = c

round up to 4.5

Answer:

875 ft

Step-by-step explanation:

Length is 25 feet so we can solve x with the equation x+10=25 so x=15

We can plug in 15 to find out the width. 2(15)+5=w, so w(width) is 35.

Area is length x width, length=25 and width=35 so 35 x 25= 875

875 ft

:)

Answer:

Area of rhombus = 96 inch²

Step-by-step explanation:

Given:

Side length of rhombus = 10 inch

Length of longer diagonal = 16 inch

Find:

Area of rhombus

Computation:

We know that, diagonals of rhombus perpendicular bisect each other

So,

Half of small diagonal = √Side length of rhombus² - Half length of longer diagonal²

Half of small diagonal = √10² - 8²

Half of small diagonal = √100 - 64

Half of small diagonal = √36

Half of small diagonal = 6 inch

Length of smaller diagonal = 2 x 6

Length of smaller diagonal = 12 inch

Area of rhombus = (Product of diagonals)/2

Area of rhombus = (16 x 12)/2

Area of rhombus = 96 inch²

Answer:

False

Actual order:

-7, -3, 0, 6,9

Mark me brainliesttt :))

the answer should be false, not true

Answer:

x = 15, y = 10

Step-by-step explanation:

x + y = 25

y = 25 - x

4x + 2y = 80

4x + 2(25 - x) = 80

4x + 50 - 2x = 80

2x + 50 = 80

2x = 30

x = 15

x + y = 25

15 + y = 25

y = 10

Answer: y=37.5degrees and x=110degrees

Step-by-step explanation: sum of angle in a quadrilateral =360 and opposite angles=180. 115+2y=180,2y=180-115=75. 2y/2=75/2. therefore y=37.5. while x=70+x=180,x=180-70=110. x=110

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

Answer:

Minimum: 8

Maximum: 39

Q1: 11

Q2: 23

Q3: 32

Step-by-step explanation:

Set the numbers into numerical order

8 9 11 14 17 23 29 30 32 32 39

Then separate into quarters

[8 9 11] [14 17 23] [29 30 32] 32 39

Answer:

$1440

Step-by-step explanation:

From the above question:

We know that the rate is

1250 ft² = $600

3000 ft² = x

Cross Multiply

1250ft² × x = 3000ft² × $600

x = 3000ft² × $600/1250ft²

x = $1440

Therefore, at the same rate, the cost of an office with an area of 3000 square feet is $1440

Answer:

x-15

Step-by-step explanation:

less than means it comes after

so the 15 is subtracted from x

x-15

Answer:

A. x - 15

Step-by-step explanation:

Answer:

[tex] \displaystyle 2 {x}^{2} + 4x - 30 = 0[/tex]

Step-by-step explanation:

we are given the zeros and a point where it goes through of a quadratic equation

remember that when the roots are given then the function should be

[tex] \displaystyle \: y = a(x - x_{1})(x - x_{2}) [/tex]

where a is the leading coefficient and x1 and x2 are the roots

substitute:

[tex] \displaystyle y = a(x - (3))(x - ( - 5)) [/tex]

simplify:

[tex] \displaystyle y = a(x - 3)(x + 5) [/tex]

now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a

substitute:

[tex] \displaystyle a(2 - 3)(2 + 5) = - 14[/tex]

simplify parentheses:

[tex] \displaystyle a( - 1)(7) = - 14[/tex]

simplify multiplication:

[tex] \displaystyle - 7a = - 14[/tex]

divide both sides by -7:

[tex] \displaystyle a = 2[/tex]

altogether substitute:

[tex] \displaystyle y = 2(x - 3)(x + 5) [/tex]

since it want the equation y should be

[tex] \displaystyle 2(x - 3)(x + 5) = 0[/tex]

recall quadratic equation standard form:

[tex] \displaystyle {ax}^{2} + bx + c = 0[/tex]

so simplify parentheses:

[tex] \displaystyle 2( {x}^{2} + 2x - 15 ) = 0[/tex]

distribute:

[tex] \displaystyle 2 {x}^{2} + 4x - 30 = 0[/tex]

hence,

the equation of the parabola in standard form is 2x²+4x-30=0

Answer:

4

Step-by-step explanation:

i did the math but i did the math but i dont wanna type it all out  

Step-by-step explanation:

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

0.9094 is the sine of angle θ

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

from the given figure,

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

To learn more trigonometry click:

brainly.com/question/26719838

#SPJ2

Answer: 30.2

Explanation:

The mean is calculated by taking the sum of the values and dividing by the count.

For instance, for the 6 women, with the mean being 31, we can see that the ages summed to 186:

186

6

=

31

And we can do the same for the men:

116

4

=

29

And now we can combine the sum and count of the men and women to find the mean for the office:

186

+

116

10

=

302

10

=

30.2

Step-by-step explanation:

9514 1404 393

Answer:

  30

Step-by-step explanation:

The total of the ages of the 11 women is 11·31 = 341. The total of the ages of the 6 men is 6·29 = 174. Then the total of the ages of all 17 people in the office is ...

  341 + 174 = 515

and their average age is ...

  515/17 ≈ 30.294 ≈ 30

The mean age of the people in the office, to the nearest year, is 30.

_____

The mean is the total divided by the number of contributors. Then the total is the mean times the number of contributors.

Answer: (b)

Step-by-step explanation:

Given

R is inversely proportional to A i.e

[tex]R\propto \dfrac{1}{A}\\\\R=\dfrac{C}{A}\quad [\text{C=Constant}][/tex]

when [tex]R=4,\ A=100[/tex]

Insert the values to get C

[tex]\Rightarrow 4=\dfrac{C}{100}\\\\\Rightarrow C=400[/tex]

When A=250

[tex]\Rightarrow R=\dfrac{400}{250}\\\\\Rightarrow R=1.6[/tex]

option (b) is correct

Answer:

2.greatest common factor is 4

3.[tex]x^{2}[/tex]-3x-10

[tex]x^{2}[/tex]-(5-2)x-10

[tex]x^{2}[/tex]-5x+2x-10

x(x-5)+2(x-5)

(x+2)(x-5)

Step-by-step explanation:

Answer:

2. 4

3. (x+2)(x−5)

Step-by-step explanation:

Question One.

Factor 8x+12

8x+12

4(2x+3)

Question Two.

Factor [tex]x^{2}[/tex]−3x−10

The middle number is -3 and the last number is -10.

Factoring means we want something like:

(x+_)(x+_)

We need to figure out which numbers go in the blanks.

You will need two numbers. They need to...

Add together to get -3.

Multiply together to get -10.

2+-5=-3

2·-5=-10

Fill in the blanks.

(x+2)(x-5)

Answer:

(x+2)(x−5)

Question: Find the circumference of the circle to the nearest hundredth

d = 11cm

Answer:

34.54 cm

Step-by-step explanation:

Applying,

P = πd...................... Equation 1

Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie

From the question

Given: d = 11 cm

Constant: π = 3.14

Substitute these values into equation 1

P = (3.14×11)

P = 34.54 cm

Answer:

y = - 4x + 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4 , then

y = - 4x + c ← is the partial equation

To find c substitute (4, - 4) into the partial equation

- 4 = - 16 + c ⇒ c = - 4 + 16 = 12

y = - 4x + 12 ← equation of line

Answer:

384yd^2

Step-by-step explanation:

Answer in attachment

Answer:

4ft

Step-by-step explanation:

to get the area of a square you multiply the sides together so you just find the square root of the area

Answer:

4 feet would be the legth of the squares side

Step-by-step explanation:

t16 is the squares area and the area of a square is length X width, since all the sides of a square are equal, we can just take the square root of  16 which is 4 feet.

Answer:

See graph below

Step-by-step explanation:

The domain is (-∞,∞) and the range is [1,∞)

Answer:

75

Step-by-step explanation:

mean = average so add up all your numbers, then divide by the amount of numbers so

46 + 56 + 64 + 64 + 72 + 76 + 77 + 82 + 94 + 96 + 99 = 826

826 ÷ 11 = 75.09 (about)

Answer:

A. Yes

B. The triangles are similar

C. The corresponding sides are proportional

D. The slope of ΔABC = tanθ₁ = tanθ₂ = The slope pf ΔDEF, therefore, the slope of any two points on the line are congruent by similar triangles

E. The rate of proportionality = 2

Step-by-step explanation:

A. From the given graph, given that the angles are formed between the transversal and lines parallel to the R-value axis and the transversal and lines parallel to the thickness axis, the angle formed by the transversal and each parallel lines are corresponding angles and are therefore congruent

The tan of one of the angles on each triangle are

On the uppermost triangle, tanθ₁ = (9.42 - 3.14)/(3 - 1) = 3.14

On the other triangle, tanθ₂ =(25.12 - 12.56)/(8 - 4) = 3.14

tanθ₁ = tanθ₂

∴ θ₁ = θ₂

ΔABC and ΔDEF are right triangles, therefore, all the angles of ΔABC and ΔDEF  are congruent

B. Given that the interior angles of the triangles formed by the line the graph are congruent, the triangles are similar by AA similarity postulate

C. Given that the triangles are similar, the length of the corresponding  sides of the triangles are proportional

D. Given that the slope is the tangent of the angle between the line of the graph and the Thickness axis, and that the angle is the same for both triangles, (∠θ₁ and ∠θ₂) the slope or the rise-to-run ratio is constant for the two triangles and also for any two points on the line

E. The Unit of proportionality is found using any two points as follows;

Using points used to show the proportional relationship on triangle ΔABC are (8, 25.12) and (4, 12.56) and on triangle ΔDEF, the two points used to show proportional relationship are (3, 9.42), and (1, 3.14)

The ratio of the corresponding sides on ΔABC and ΔDEF are

[tex]\overline {AC}[/tex]/[tex]\overline {DF}[/tex] = (25.12 - 12.56)/(9.42 - 3.14) = 2

[tex]\overline {BC}[/tex]/[tex]\overline {EF}[/tex] = (8 - 4)/(3 - 1) = 2

Therefore, the unit rate of proportionality which is the scale factor = 2.

Answer:

B. 5626.9

Step-by-step explanation:

• volume of cylinder= pi(r)2h

• plug in the values into the equation

• pi(8)2(28)

pi=3.14 so 3.14(8)2(28)

• multiply all the values

• you get 5629. 73

• b is the closest the that answer since it says approximate