Multiply out and simplify: :
(2x +3)(3x + 5)

Answer: 72yd^2

Step-by-step explanation:

Answer:

72 is the answer

Step-by-step explanation:

it is a kite shape so

formula is

1/2 (d1 +d2)

Answer:

-1/3

Step-by-step explanation:

Perpendicular slope=negative reciprocal

Answer:

m<A = 107

m<B = 73

m<C = 107

m<D = 73

Step-by-step explanation:

2(4x + 1) + 2(5x + 17) = 360

8x + 2 + 10x + 34 = 360

18x + 36 = 360

18x = 324

x = 18

4x + 1

4(18) + 1

73

5x + 17

5(18) + 17

107

Answer:

[tex]\theta=36.43^{\circ}[/tex]

Step-by-step explanation:

Given that,

Base = 42

Perpendicular height = 31

We need to find the value of [tex]\theta[/tex]. It can be calculated using trigonometry as follows :

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})[/tex]

Put all the values,

[tex]\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}[/tex]

So, the value of [tex]\theta=36.43^{\circ}[/tex].

Answer:

90°

Step-by-step explanation:

this is a right angled triangle, and to that effect, a right angle triangle is on 90°

therefore y is 90°

Answer:

what is the options

Step-by-step explanation:

Answer:

Y=2,000(1+2.5)^12

Step-by-step explanation:

Answer:

141.4

Step-by-step explanation:

i think

Answer:64

Step-by-Step

Image

Answer:

[tex]10 > 1.85 + 0.5m[/tex]

Step-by-step explanation:

Price of the scooter:

Fixed price of $1.85 to activate plus $0.50 for each mile. This situation can be represented by a linear function, and it is given by:

[tex]P(m) = 1.85 + 0.5m[/tex]

Mikael has a gift card for $10 and he can not spend more on the scooter.

The spendings have to be less than 10. So

[tex]10 > P(m)[/tex]

[tex]10 > 1.85 + 0.5m[/tex]

Answer:

2x-5x-24=0

-3x-24=0

-3x=24

x=24/-3

x=-8

Answer:

x=x2-24/5

2 −24

​

Step-by-step explanation:

x2−5x−24=0

Add 5x to both sides. Anything plus zero gives itself.

x

2

​

−24=5x

Add 24 to both sides.

x

2

​

=5x+24

Answer:

2.719 minutes

Step-by-step explanation:

Step 1 :

We have to consider using the M/G/I /GD /∞/∞ Queuing system with the rate of arrival λ and the rate of service μ.

Since average of 40 cars arrive every hour at the painting facility, it follows that:

Arrival rate λ = 40cars /hour

= 40/60 cars/hour

=2/3 cars/hour

More, we were told that 95% of the cars require 1 minute to paint, 5% must be painted twice and require 2.5 minutes to paint, therefore, the average time to paint a car is given by

95/100x1 + 5/100 x 2.5 = 19/20 + 1/8 = 43/40min

It follows that:

Service rates μ = 40/43cars/min

Answer:

B. the second one

Step-by-step explanation:

9514 1404 393

Answer:

  y = x + 2

Step-by-step explanation:

The slope-intercept form equation is ...

  y = mx + b . . . . . . slope m, y-intercept b

We are given the slope, so we only need to find the y-intercept. When we solve for b, we find ...

  y - mx = b . . . . . .  subtract mx

  8 - 1(6) = b = 2 . . . . fill in given values of (x, y) and m

Then the equation of the line is ...

  y = x +2

Answer:

-3hf

Step-by-step explanation:

Answer:

There isn't an answer.

Step-by-step explanation:

5(x+1) = 4(x-1) + x

5x + 5 = 4x - 4 + x

5x +5 = 5x -4

0 = -9

no x, so no answer.

Answer:

5/100

Step-by-step explanation:

each penny = 1/100

The solution is, The area of the shaded region is 112cm^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

First find the area of the rectangle

A = l*w

= 9*16

= 144

The unshaded area is a trapezoid

A = 1/2 ( b1+b2) *h

= 1/2 ( 5+11) * 4

= 1/2 (16) * 4

=32

The area of the shaded region is

rectangle - trapezoid

144-32

112cm^2

Hence, The solution is, The area of the shaded region is 112cm^2.

To learn more on Area click:

brainly.com/question/20693059

#SPJ3

oh no noooooooooooooooooooooooooooooooooooooooooooo

Answer:

Probability of getting all three correct answer =  [tex]\frac{1}{64}[/tex]

Step-by-step explanation:

Given - A multiple choice test contains questions  with four options each: A, B, C, or D. If  Natalie randomly guesses on the last three  questions.

To find - what is the probability that she  gets all three correct.

Proof -

Given that,  question has 4 options.

And 1 option can be correct,

Let

x be that Natalie gives correct answer.

So,

Probability of getting, correct answer, P(x) = [tex]\frac{1}{4}[/tex]

So,

Probability of getting, incorrect answer, P(x') = 1 -  [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex]

Now,

Given that, she guess the 3 questions.

All correct means,

first, second, third question answer is correct.

So,

Probability of getting all three correct answer = [tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{64}[/tex]

Answer:

[tex]3x^2+126x[/tex]

Step-by-step explanation:

Solve For X.

3x(x+42)

Ans:

3x(x+42)

Use the distributive property to multiply 3x by x+42.

[tex]3x^2+126x[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

A solution is always of the form ...

  variable = something

In order to get this form, the variable needs to be isolated (put by itself on one side of the equal sign).

In general, isolating the variable involves using inverse operations to "undo" whatever is done to the variable. These are generally applied in the reverse order of the operations that are done to the variable. The list of operations done and their order can be identified using the Order of Operations to consider how an equation would be evaluated for some value of the variable.

Answer:

It costs $3,744 to rent one shed.

Step-by-step explanation:

Given that a company rents storage sheds shaped like rectangular prisms, and each shed is 13 feet long and 6 feet wide and 12 feet tall, and the rental cost is 4 $ per cubic foot, to determine how much does it cost to rent one shed The following calculation must be carried out, knowing that the volume of a rectangular prism is obtained by multiplying its length by its width and its height:

(13 x 6 x 12) x 4 = X

(78 x 12) x 4 = X

936 x 4 = X

3.744 = X

Therefore, it costs $ 3,744 to rent one shed.

Answer:

A. 99 sq cm

Step-by-step explanation:

Area of geometric shape

= 2 times the area of one triangle with base a and height c

+ 2 times the area of one triangle with base c and height b

+ Area of rectangle with dimensions a and c.

[tex] = 2 \times \frac{1}{2} ac + 2 \times \frac{1}{2} bc + ac \\ \\ = ac + bc + ac \\ \\ = 2ac + bc \\ \\ = 2(13)(3) + 7(3) \\ \\ = 78 + 21 \\ \\ = 99 \: sq \: cm[/tex]

=============================================================

Explanation:

The rectangular base has area of length*width = a*c = 13*3 = 39 square cm. Let m = 39 since we'll use it later.

The triangles on the left and right sides have an area of base*height/2 = c*b/2 = 3*7/2 = 21/2 = 10.5 sq cm. They combine to an area of 2*10.5 = 21 sq cm. Let n = 21 since we'll use it later.

The triangles in the north and south positions have base 'a' and height 'c', so the area of each is base*height/2 = a*c/2 = 13*3/2 = 39/2 = 19.5 sq cm. That means the two north and south triangles add up to 19.5+19.5 = 39 sq cm. Let p = 39 since we'll use it later.

Overall, we have a total area of m+n+p = 39+21+39 = 99

The area of this flat 2D figure is 99 sq cm. If we folded along the dashed lines, then we'd get a 3D rectangular pyramid that has surface area of 99 sq cm. The surface area is the amount of material along the outside of the 3D figure. Or you can think of it like saying "If we painted all four sides of the 3D pyramid, then we cover 99 cm^2 of area".

6/16 = 3/8

hope this helps

Answer:

Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)

Step-by-step explanation:

Given:

Height of Frustum = 8 feet

Diameter of top = 6 feet

Diameter of base = 4 feet

Find;

Volume of fountain cup in gallons

1 cubic foot = 7.5 gallons

Computation:

Radius of top = 6 / 2 = 3 feet

Radius of base = 4 / 2 = 2 feet

Volume of fountain cup in gallons = (πh/3)[R² + r² + Rr]

Volume of fountain cup in gallons = [(3.14)(8)/3)[3² + 2² + (3)(2)]

Volume of fountain cup in gallons = [8.37)[9 + 4 + 6]

Volume of fountain cup in gallons = [8.37)[19]

Volume of fountain cup in gallons = 159.03

Volume of fountain cup in gallons = 159 feet³

Volume of fountain cup in gallons = 159 x 7.5

Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)