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(3+√3) x (2+√2)

6 + 3√2 + 2√3 + √3√2

6 + 3√2 + 2√3 + √6

Answer:

6 + 2√3 + 3√2 + √6

Step-by-step explanation:

The equation :

(3 + √3)(2 + √2)

Using Distributive Property,

Answer:

99750000 people

Step-by-step explanation:

1,750,000*57=99750000

Answer:

231.1 gm

Step-by-step explanation:

1040 J / .9 j/(gm-C)   / 5C = 231.1 gm

The mass of the metal is 231.111 gram.

The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.

The formula for heat is given by the formula,

Q = mC(ΔT)

Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,

Q = mC(ΔT)

1,040 = m × 0.900 × 5

m = 1040/(0.900×5)

m = 231.111 g

Hence, the mass of the metal is 231.111 gram.

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Answer:

D) blue

Step-by-step explanation:

because the first ball has to be blue

the second ball is green

the third is red

and the fourth one is yellow

so u multiply 1(blue ball)× 2021=blue ball

Answer:

Has two unkown variables

Step-by-step explanation:

When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables

The most simplified version of this equation would be VX = -14

More information would be needed to solve

Answer:

60 miles

Step-by-step explanation:

[tex]\frac{1}{8}*\frac{7.5}{7.5}=\frac{7.5}{60}[/tex]

Remember these are ratios!

Hence, they are 60 miles apart

Answer:

Weeks = 52

Days = 365

Hours = 8,760

Minutes = 525,600

Seconds = 3.1536 × 10^7

Step-by-step explanation:

Answer:

1 Year =

31540000 seconds.

525600 minutes.

8760 hours.

365 days.

52.1429 weeks.

12 months.

Step-by-step explanation:

Hey there!

You can do this by calculating all the numbers since you already know that there are 24 hours in a day, 12 months in a year and 365 days in a year

The linear function that represents the amount of money in dollars Anton would have saved is given by:

C y = 15x + 300

A linear function is modeled by:

y = mx + b

In which:

Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:

m = 150/10 = 15.

Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:

b = 450 - 150 = 300.

Thus, the equation is given by:

y = 15x + 300.

Which means that option C is correct.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

1, 3, and 4 are CORRECT

2 is wrong.

Step-by-step explanation:

In #2

-9(x + 4) Multiply by using distributive property. The -9 must be multiplied to both the terms in the parenthesis.

so you should get:

-9x - 36

Answer:

Area of a triangle = (base x height) / 2

if the base is 3 and height is 4

Area = (3x4)/2 = 6 sq units

if the base is 4 and height is 8

Area = (4x8)/2 = 16 sq units

if base is 3 and height is 8

Area = (3x8)/2 = 12 sq units

Using the depreciation formula:

start value x percent of value^time

850 x 0.75^3 = $358.59

answer: $358.59

Answer: $358.59

Step-by-step explanation:

[tex]$$After one year the laptop computer's price is:$$\begin{aligned}&=\$ 850-\$ 850 \times 25 \% \\&=\$ 850-\$ 212.5 \\&=\$ 637.5\end{aligned}$$[/tex]

[tex]$$ Again two year the computer's price is:$$\begin{aligned}&=637.5-25 \% \text { of } 637.5 \\&=637.5-159.375 \\&=\$ 478.125\end{aligned}$$[/tex]

[tex]\bold{\text { So a fair price for the computer is } \$ 358.59}[/tex]

[tex]\begin{aligned}\\\bold{Or}\text { Simply Calculate as } &=(\text { Purchase price }) \times(1-25 \%)^\text{time} \\&=850 \times(1-0.25)^{3} \\&=850 \times(0.75)^{3} \\\bold{&=\$358.59}\end{aligned}[/tex]

The expression that represents the perimeter of the given triangle in centimeters is;  14n + 10p + 14q

We are given the  side lengths of the triangle as;

5n + p; 9n + 8q; 6q + 9p

Now, the formula for perimeter of a triangle is;

Perimeter = a + b + c

where a, b and c are side lengths of the triangle. Thus;

Perimeter = 5n + p + 9n + 8q + 6q + 9p

Perimeter = 14n + 10p + 14q

In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.

Read more about Triangle Perimeter at; https://brainly.com/question/24382052

Answer:

2.083 g/[tex]cm^{3}[/tex]

Step-by-step explanation:

Density is mass / volume

volume = length * width * height

(In this case since iron is usually in a block unless stated otherwise)

100g / (2*4*6)cm^3 = density

100g / [tex]48 cm^{3}[/tex] = 2.083 g/[tex]cm^{3}[/tex]

Mervin's loan of $300 is an illustration of compound interest

The interest to pay back in 5 months is $74.2, and the amount to pay back in 5 months is $374.2

The given parameters are:

The compound interest is calculated as:

CI = P * (1 + r)^(t/12) - P

Substitute known values

CI = 300 * (1 + (0.70))^(5/12) - 300

Evaluate the expression

CI = 74.2

Hence, the interest to pay back in 5 months is $74.2

The amount (A) is calculated using:

A = CI + P

This gives

A = 74.2 + 300

A = 374.2

Hence, the amount to pay back in 5 months is $374.2

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Answer:

4 inches

Step-by-step explanation:

A = b x h

A = 36

b = 9

36 = 9 x h

4 = h

height = 4 inches

Answer:

y = 5x - 14

Step-by-step explanation:

*Parallel lines have the same slopes*

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

y - 5x = 10 <== add 5x to both sides

   + 5x   + 5x

y = 5x + 10

The slope of the line that is parallel to this line is 5.

We need to find the y-intercept (b) for the parallel line using (2, -4):

y = 5x + b <== substitue 2 for x and -4 for y

-4 = 5(2) + b

-4 = 10 + b <== subtract 10 from both sides to isolate b

-10  -10

-14 = b

y = 5x + b changes to y = 5x - 14

Hope this helps!

Slope:-

Parallel lines have equal slope

Equation in point slope form

Answer:

cos A = 5/13

Step-by-step explanation:

sec A = 1/cos A

sec A = 1/cos A 13/5 = 1/cos A

cos A = 5/13

Answer: A) 7.1 square feet

Step-by-step explanation:

area of a circle= πr^2

given,

d=3 feet=3/2=1.5 feet

hence,

area of a circle= πr^2

= 3.14×(1.5)^2

= 7.065

=7.1 square feet.

Answer:

16

Step-by-step explanation:

h(x)=3x-2 in (0,7)

h(6)=3(6)-2=18-2=16

Answer:

id.k maybe because people are busy ,

i think the same as you.

Step-by-step explanation:

Answer:

try using a protractor

Step-by-step explanation:

when you use a protractor it can be easier and collect all like terms together

Answers:

10. b. [tex]\displaystyle 13[/tex]

9. b. [tex]\displaystyle 20[/tex]

8. a. [tex]\displaystyle 33[/tex]

7. a. [tex]\displaystyle 25°[/tex]

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

[tex]\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x[/tex]

Plug this back into the equation to get [tex]\displaystyle 13[/tex]on both sides.

9. All edges in a square obtain congruent right angles and edges, so set [tex]\displaystyle 45[/tex]equivalent to the given expression:

[tex]\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}[/tex]

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

[tex]\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}[/tex]

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

[tex]\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}[/tex]

I am joyous to assist you at any time.

Answer:

-5x/2 - 30

Step-by-step explanation:

Oop I placed it in the wrong spot

Place the give into the formula

f(g(x)) = f(x/2+4)

Plug it in

-5(x/2+4)+2

Simplfy

-5x/2-20-10

Answer:

-5x/2 - 30

each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .

by this simple method you can figure out your answer that what actually it is.

GOOD LUCK !

Answer:

C

Step-by-step explanation:

43.5 x 10 = 435

435/1000 = 87/200 (simplified)

Use the Distributive Property, which states the following:-

[tex]\sf{a(b+c)=ab+ac}[/tex]

Where

we distribute a by multiplying it times b and c

a, b, and c can be either constants (numbers) or variables (letters)

Distribute:-

[tex]\sf{\displaystyle\frac{1}{4}(x+24)}}[/tex]

Multiply the term before the parentheses by the terms inside the parentheses:-

[tex]\sf{\displaystyle\frac{1}{4} x+6}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Diameter : 14 cm

14÷2=7

Radius : 7

Step-by-step explanation:

Diameter is two time the Radius