The mass of a diamond is 1.76 g. The volume is 0.5 cm^3. What is the density of the diamond?

Answer:

a = 127°

Step-by-step explanation:

The 3 angles lie on a straight line and have a sum of 180°, that is

15° + a + 38° = 180°

53° + a = 180° ( subtract 53° from both sides )

a = 127°

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

Answer:

[tex]y = -3+ rx[/tex]

Step-by-step explanation:

Given

[tex]Base = -3C[/tex]

[tex]Time = x[/tex]

Required

Determine the equation (y)

Let the steady rate be represented with r.

So, the equation (y) can be determined using:

[tex]y = Base + Rate * Time[/tex]

[tex]y = -3+ r* x[/tex]

[tex]y = -3+ rx[/tex]

Answer:

Option A and D

Hope this helps!

Answer:

D

Step-by-step explanation:

16 +10h = 110 is the equation because it uses 10h to represent the hourly wages and you need $110. Therefore, with the starting $16, if you use the hourly $10 rate you can come to your answer using the equation.

Answer:

two times the sum of a number and 5

Step-by-step explanation:

Answer:

3.51

Step-by-step explanation:

Answer:

74.48

Step-by-step explanation:

78.00*0.045=3.52

78-3.52=74.48

3

4

×  

4

5

=  

3

5

Result in decimals: 0.6

Calculation steps:

3

4

×  

4

5

=  

3 × 4

4 × 5

=  

12

20

=  

12 ÷ 4

20 ÷ 4

=  

3

5

Answer:

3

Step-by-step explanation:

The answer is Option One

Answer:

>> $9000 invested in mutual fund

>> $3000 invested in government bond

>> $4500 put in the bank

Step-by-step explanation:

Let us denote the money invested in each case by a letter. Thus;

a = the money that he invested in a mutual fund

b = the money that he invested in a government bond

c = the money that he put in the bank

We are told that he invested a total of ​$16,500. Thus;

a + b + c = 16500 - - - (eq 1)

He invested twice as much in the mutual fund as he did in the bank. Thus;

a = 2c - - - (eq 2)

From the percentage given and the return of ​$1,425 from the first year investments, we have;

0.11a + 0.07b + 0.05c = 1425 - - - (eq 3)

Let's put 2c for a in eq (1) and eq (3)

Thus;

2c + b + c = 16500

b + 3c = 16500 - - - (eq 4)

Also,

0.11(2c) + 0.07b + 0.05c = 1425

0.07b + 0.27c = 1425 - - - (eq 5)

From eq 4, b = 16500 - 3c

Putting this in eq(5) gives;

0.07(16500 - 3c) + 0.27c = 1425

1155 - 0.21c + 0.27c = 1425

0.06c = 1425 - 1155

0.06c = 270

c = 270/0.06

c = $4500

b = 16500 - 3(4500)

b = 16500 - 13500

b = $3000

Since a = 2c, then;

a = 2(4500)

a = $9000

Answer: 6.4

Step-by-step explanation:

d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt (41)

d = 6.4

Answer:

I think the area is 38

Step-by-step explanation:

area =38

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Answer:

x > 2

Step-by-step explanation:

Since the dot is not filled in, it does not include 2. Since it is moving to the right, it means it is more than 2.

Hope that helps!

Answer:

x>2

Step-by-step explanation:

since the circle on the number two is a hollowed-out circle then it is less than greater than so it is not equal to anything. and since the arrow is pointed greater than 2.

So all values of x are greater than 2

Hope this helps :)

Answer:

Step-by-step explanation:

Fins the similar diagram attached;

The sum of the angles is 180 degree since they lie on the same straight line. Hence;

3x - 13 + x - 3 = 180

Collect the like terms;

3x+x -13 - 3 = 180

4x - 16 = 180

4x = 180 + 16

4x = 196

x = 196/4

x = 49

Hence the value of x is 49

Note that the values in question is different from that of diagram but the diagram is similar to what we need

Answer:

(3,20)

Step-by-step explanation:

so O must be 0,0 and A is a midpoint of OB

This means B must be (14,12)

B is the midpoint of TS.

This means that the distance of SB is equal to the distance of BT.

This must mean that the coordinate of T must be (3,20)

O: (0,0)    x coordinate increases by 7. y coordinate increases by 6.

A: (7,6)

B: (14,12)

S: (25,4)    x coordinate decrease by 11. y coordinate increases by 8.

B: (14,12)

T: (3,20)

The coordinates of T are (3, 20).

A straight line is an endless one-dimensional figure that has no width.

From the figure, A is the midpoint of OB and B is the midpoint of TS

The coordinates of O are (0, 0) and Coordinates of A are (7,6)

We can find coordinate of B.

(7, 6)=(0+x/2, 0+y/2)

(7,6)=(x/2, y/2)

x/2=7   and    y/2=6

x=14               y=12

So the coordinates of B are (14, 12)

Now we can find the coordinates of T.

(14, 12)=(X+25/2, Y+4/2)

X+25=28

x=3

Y+4=24

Y=20

So the coordinates of T are (3, 20)

Hence, the coordinates of T are (3, 20).

To learn more on Straight lines click:

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81

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The answer is 35.1 cm².

Hope this helps; have a great day!

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

Answer:

A is the answer

Step-by-step explanation:

6 times 3.14 is 18.84

Given,

Diameter of circle = 6 in.

As we know that radius is half of diameter.

Radius = 6 × 1/2 = 3 inches

Now,

[tex] \sf Circumference \: of \: circle = 2 \pi \: r[/tex]

[tex] = \: 2 \times \dfrac{22}{7} \times 3[/tex]

[tex] = \dfrac{44}{7} \times 3[/tex]

[tex] = \dfrac{132}{7} [/tex]

[tex] = 18.84\: in.[/tex]

Hence,option ( a ) is correct.

Answer:

Step-by-step explanation:

base = X

hypotenuse = √5

cos 45° = base / hypotenuse

1/√2 = X / √5

X = √5 / √2

X = 1.58

Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

(2x-1)= 5(x+1)

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]

Substitute x = 1 and y = 6 into equation,

[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]

Therefore substituting m and c value, equation of line is

[tex]y = - 3x + 9[/tex]

Answer:

53

Step-by-step explanation:

Answer:

answer is 22 1/2 or in decimal form it would be 22.5

Step-by-step explanation:

Answer:

50 percent

Step-by-step explanation:

Answer:

420 x .1 = 42

420 + 42 = 462

400 x .2 = 80

400 + 80 = 480

The first one is cheaper

Answer:

Area of river = depth × width

=3×40

[tex] = 120 {m}^{2} [/tex]

amount of water that falls into the sea ⇒

Area of river × flow rate

[tex]120 {m}^{2} \times 2 \: \frac{km}{hr} [/tex]

[tex]120 \times \frac{2 \times 1000 {m}^{2} }{(60)min} [/tex]

[tex]4000 \: \frac{ {m}^{3} }{min} [/tex]

:. [tex] {4000m}^{3} [/tex] of water falls into the sea per min.

So, [tex] {4000m}^{3} [/tex]

= 4000 × 1000 litres

= 4000000 litres

So, in 1 minute, water will fall into the sea is 4000000 litres.

Step-by-step explanation:

Hope it is helpful....

Answer:

40.8

Step-by-step explanation:

60% = 60/100

60/100 * 68

4080/100

40.8

Answer:

40.8

Step-by-step explanation:

d/68=60/100

60×68=4080

d×100=100d

4080=100d

4080÷100=40.8

100d÷100=d

d=40.8

hope this helps