Given a circle with radius 4 cm, calculate (use π=3,14) the circumference, rounding off to two decimal places

Answer:

(i) 18.4 > 18.04

(ii) 0.7 < 50 > 35

b) 173500

c) 173500

Step-by-s tep explanation:

(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.

(ii) Simple less than < greater than > skills.

b) Simple rounding.

c) The answers stays the same; rounding cannot be completed using JUST whole numbers.

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Step-by-step explanation:

Formula for gradient of a line segment :

[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]

Given points of the line segment: (-5,2) and (4,3)

[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{9}[/tex]

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Answer:

-5

Step-by-step explanation:

f(-2) means that -2 is going to be our input in this function.

To solve this, simply substitute -2 for x in the expression given.

If f(x) = 3x+1, then f(-2) = 3(-2) + 1

3(-2)+1 = -6+1 = -5

Hope this helped!

Answer:

f(-2) = 3(-2) + 1

f(-2) = 6 + 7

Therefore: f(-2) = 7

Answer:

[tex]\frac{\sqrt{10}}{2}[/tex]

Step-by-step explanation:

The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of [tex]\sqrt{5}[/tex], we have:

[tex]x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}[/tex]

Answer:

y ≤ 1/2x - 1

y ≤ -2x + 4

Answer:

2nd option

1 and 3 ; 2 and 4

Step-by-step explanation:

supplementary angles are those whose sum equal to 180°.

Answer:

4400

Step-by-step explanation:

First take off your deductible

14000-2000

12000

Now find 20 % of this amount

12000*20%

12000 * .20

2400

You have to pay the deductible and the 20%

2000+2400

Answer:

Sorry Baby i don't know

Step-by-step explanation:

Bye

Answer:

Step-by-step explanation:

In exponent multiplication, if base are same just add the powers.

[tex](-6a^{3}b+2ab^{2})(5a^{2}-2ab^{2}-b)=(-6a^{3}b)*(5a^{2}-2ab^{2}-b)+2ab^{2}*(5a^{2}-2ab^{2}-b)\\\\[/tex]

                                             [tex]=(-6a^{3}b)*5a^{2}-(-6a^{3}b)*2ab^{2}-(-6a^{3}b)*b+ 2ab^{2}*5a^{2}-2ab^{2}*2ab^{2}-2ab^{2}*b\\\\=-30a^{3+2}b+12a^{3+1}b^{1+2}+6a^{3}b^{1+1}+10a^{1+2}b^{2}-4a^{1+1}b^{2+2}-2ab^{2+1}\\\\=-30a^{5}b+12a^{4}b^{3}+6a^{3}b^{2}+10a^{3}b^{2}-4a^{2}b^{4}-2ab^{3}\\[/tex]

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i

The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)

Answer:

There are no questions below .

Answer:

Patricia's amount of money = $125

Armando's amount of money = $95

Step-by-step explanation:

Given:

Total amount of money = $220

Patricia have $30 more than Armando

Find:

Amount of money each have.

Computation:

Assume;

Patricia's amount of money = a

So,

Armando's amount of money = a - 30

So,

a + a - 30 = 220

2a - 30 = 220

2a = 250

a = 125

Patricia's amount of money = $125

Armando's amount of money = 125 - 30

Armando's amount of money = $95

Answers:

x = 5/2 = 2.5

y = 10

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

Explanation:

Focus on the smallest triangle and the medium sized triangle. We can form the proportion 2/4 = x/5 by dividing the corresponding sides together.

Solving for x leads us to the following

2/4 = x/5

2*5 = 4*x

10 = 4x

4x = 10

x = 10/4

x = 5/2

x = 2.5

-----------------

Now focus on the medium sized triangle and the largest triangle. We'll use the same idea as before

4/8 = 5/y

4y = 8*5

4y = 40

y = 40/4

y = 10

Note how each horizontal line is a midsegment, which means that jumping from y = 10 to 5 is us taking half of that value. Then going from 5 to x = 5/2 = 2.5 is another step of cutting in half.

Answer:

gradient of horizontal slope is 0

Answer:

2760

Step-by-step explanation:

23 multiply by 120

=2760

Answer:

144

Step-by-step explanation:

ANSWER: symmetric property

hope it helps thanks

brainliest pls

Answer: The answer is Symmetric Property

Answer:

the answer is blurry for me take a picture again

Step-by-step explanation:

Answer: c

hope this works

Answer:

$0.42 + $0.17w = x

$0.42 + $0.17 x 4 = $1.10

Step-by-step explanation:

for building the equation, we were given the variable for ounces so just multiply the amount of ounces by .17 and for solving for four ounces just input 4 into W and boom equation solved

Answer:

$0.42 + $0.17 x 4 = $1.10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute values into given equation and solve for P(t):

Answer:

105cm & 245cm

Step-by-step explanation:

[tex]3x+7x=350\\10x=350\\x=35\\\\\\3(35)=105\\7(35)=245[/tex]

Answer:

Jewel is 7 years old

John is 1 year old

Dave is 17 years old

Step-by-step explanation:

From the question we are told that:

Jewel age is [tex]J=7 years[/tex]

John age [tex]J'=(D-16)years[/tex]

Dave's age a Year ago

 [tex]D-1=2(J-1+J'-1)[/tex]

So that Dave.s age this Year could be

 [tex]D=2((J-1)+(J'-1))+1[/tex]

Simplifying Equation for Dave's age we have

 [tex]D=2((7)-1+(D-16)-1)+1[/tex]

 [tex]D=2(6+D-15)+1[/tex]

 [tex]D=2(D-9)+1[/tex]

 [tex]D=2D-18+1[/tex]

 [tex]D=17 Years[/tex]

Dave is 17 years old

Therefore

Johns age is

 [tex]J'=(D-16)[/tex]

 [tex]J'=17-16[/tex]

 [tex]J'=1year old[/tex]

John is 1 year old

Answer: