Simplify the following
√9/25

√12/3

√15/3​

Answer:

x < 7

Step-by-step explanation:

0.5 + 2x < 14.5

2x < 14.5 - 0.5

2x < 14

x < 14 ÷ 2

x < 7

( To solve this is basically solving an equation. It's just that that instead of an equal sign, a greater than, less than, greater than or equal to or a less than or equal to sign is present. )

Answer:

8) 3420°

Step-by-step explanation:

To find the sum of the interior angles of a polygon, (n-2)180

n being the number of sides.

(21 - 2) 180

19 * 180 = 3420°

Answer:the answer is

8) 3420°

Answer:

pi is an irrational number and its value

is 22/7 in fraction and 3.14 in decimal

and 22/7 is rational number

hope it helps

Answer:

Pi is the ratio of a circle's circumference to its diameter.

The first 10 digits are 3.1415926535

Step-by-step explanation:

Answer:

48.35

Step-by-step explanation:

6*6= 36

(6*3/2)=9

1/2*3.14=1.57

1/4*3.14= 1.78

36+9+1.57+1.78

Answer:

20 degrees

Step-by-step explanation:

The line has a total of 180 degrees. So, x+100+3x=180. Then, we subtract 100 from both sides to get x+3x=80. Then, x+3x=4x. So, 4x=80 degrees, and so divide by 4 on both sides and you get x=20 degrees.

Answer:

20m

Step-by-step explanation:

here's your solution

=> length = 16m

=> width = 12m

=> Diagonal of rectangle = √(16^2 + 12^2)

=> √(256 + 144)

=> √(400)

=>. 20m

hope it helps

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Answer:

24

Step-by-step explanation:

LCM(6, 8) = 24

LCM = 6 × 8/2

= 24

LCM(6, 8)

= 2 × 2 × 2 × 3

= 24

( I hope this was helpful) >;D

Answer:

Corm and Bulb- Differences. Bulbs are structurally short stems with fleshy leaves or leaf bases. Corms are rounded, underground storage organs consisting of a swollen stem base covered with scale leaves. Bulbs are modified leaves that store nutrients.

Step-by-step explanation:

[tex]\large\textsf{-(7) + (-6) + 5(-2) - 3 }[/tex]

[tex]\large\textsf{-7 - 6 = -13}[/tex]

[tex]\large\textsf{-13 + 5(-2) - 3}[/tex]

[tex]\large\textsf{5(-2) = -10}[/tex]

[tex]\large\textsf{-13 - 10 = -23}[/tex]

[tex]\large\textsf{-23 - 3}[/tex]

[tex]\large\textsf{= -26}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -26}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

−(7)+(−6)+5(−2)−3

Subtract 6 from −7 to get −13.

−13+5(−2)−3

Multiply 5 and −2 to get −10.

−13−10−3

Subtract 10 from −13 to get −23.

−23−3

Subtract 3 from −23 to get −26.

−26

Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

Learn more about isosceles trapezoid here:

brainly.com/question/4084820

#SPJ2

Answer:

That would be 56. :D

Nice drawing sir/ma'am/person. :D

Step-by-step explanation:

Answer:

I think it's c

Step-by-step explanation:

Answer:

y = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = 6[tex]\sqrt{2}[/tex]

Answer:

The area is 137m.

Step-by-step explanation:

5 * 5 = 25

11 + 5 = 16

16 * 7 = 112

112 + 25 = 137m

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Matt made the error

He used the diameter instead of the radius in step 2

Step-by-step explanation:

Answer:

82

Explanation:

78 respondents aged 18 to 22 use face book and 4 respondents aged 18 to 22 do not use face book. since there are no other options for the survey, the total number of students who were surveyed that are aged 18 to 22 would be 78 + 4 = 82.

i hope this helps! :D

The number of students in the age category of 18 to 22 is 82.

Using the two - way table Given ;

The Number of students in the age category of 18 to 22 include :

(Number of those who use fb + number of those who do not use Fb)

Number who uses Fb = 78

= 78Number who do not use Fb = 4

Hence, The Total number surveyed between age 18 to 22 = (78 + 4) = 82.

Learn more : https://brainly.com/question/23884801?referrer=searchResults

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

Answer:

is the measure of an angle that is the supplement of angle K=180-150=30

A.is your answer

9514 1404 393

Answer:

  540 cm³

Step-by-step explanation:

The area of a parallelogram is the product of its length and height. The length of a slanted side is irrelevant. The only dimension that matters for determining area is the perpendicular distance between the edges you decide to call the "base."

In this figure, dimensions are given for the bottom (and top) parallelogram of the cuboid. The front (and back) edge is 15 cm long, and the perpendicular distance between them is shown as 3 cm.

So, the area of the bottom parallelogram is ...

  A = bh

  A = (15 cm)(3 cm) = 45 cm² . . . . area of the base parallelogram

__

The volume of a prism is the product of its base area (B) and its height (h) perpendicular to the base. Here, the height is shown as 12 cm. We just computed the base area, so we can now find the volume as ...

  V = Bh

  V = (45 cm²)(12 cm) = 540 cm³

The volume of this prism is 540 cm³.

Answer:

A=50

Step-by-step explanation:

assuming you mean 100-A+20-70=0

you need to solve for A, which means add all your numbers together and isolate A.

-A+50=0

A=50

Answer:

The answer is 50 - a.

Step-by-step explanation:

1) Collect like terms.

[tex] - a + (100 + 20 - 70)[/tex]

2) Simplify.

[tex]50 - a[/tex]

Therefor, the answer is 50 - a.

Answer:

Step-by-step explanation:

Given

As we see, the number x is factor of 42, 84 and 126. The two-digit factors are:

We have two possible solutions:

Proof:

Answer:

a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

3/5(a+5.25)=7.35

Step 1: Simplify both sides of the equation.

3/5(a+5.25)=7.35

(3/5)(a)+(35)(5.25)=7.35 (Distribute)

3/5a+3.15=7.35

Step 2: Subtract 3.15 from both sides.

3/5a+3.15−3.15=7.35−3.15

3/5a=21/5

Step 3: Multiply both sides by 5/3.

(5/3)*(3/5a)=(5/3)*(21/5)

a=7

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²