A number minus twice another number is 4. Three times the first number plus two times the second number is 12. What are the numbers?

Answer:

h = 1/5

Step-by-step explanation:

The formula to find the volume of this prism is b × w × h (base × width × height). Since you are given the volume, you can divide the volume by the other two dimensions to find the height.

V = b × w × h

1/100 = 1/4 × 1/5 × h

1/100 ÷ 1/4 ÷ 1/5 = h

h = 1/5

Answer: its D

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Formula to find the area: πr²

First, find the radius: 16 ÷ 2 = 8

The radius is 8. So...

= 3.14 (8²)

= 3.14 × 64

= 200.96

Rounded to the nearest hundredth: 200

Answer:

200.96

Step-by-step explanation:

A=3.14r^2(formula for area of a circle)

r=16/2=8

r=8

A=3.14*8^2=200.96

Answer:

1232 m^3 to nearest whole number.

Step-by-step explanation:

The volume of a cone = 1/3 π r^2 h     where r = radius of base and h = height.

The radius of the base = 1/2 * 14 = 7m.

The height can be found by using the Pythagoras theorem:

25^2 = h^2 + 7^2

h^2 = 625 - 49 = 576

h = √576 =  24m

So the volume = 1/3 π *  7^2 * 24

=  1231.504 m^3.

Answer:

The amount the car will be worth after 6 years is £21,917 and 22 pence

Step-by-step explanation:

The amount for which Colin buys the car, PV = £28,100

The amount by which the car depreciates each year, r = 4%

The number of years after which the value of the car is sought, n = 6 years

The future value, FV, based on an annual depreciation is given as follows;

[tex]FV = PV \times \left ( 1 + \dfrac{r}{100} \right ) ^n[/tex]

Substituting the known values gives;

[tex]FV_6 = 28,000 \times \left ( 1 - \dfrac{4}{100} \right ) ^6 = 21,917.22[/tex]

Therefore, the amount the car will be worth after 6 years, future value FV₆ = £21,917 and 22 pence

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

Answer:

$9800

Step-by-step explanation:

Given that:

Annual salary = $50,000

Average monthly expenses = $3350

Average amount spent per annum:

Number of months in a year = 12

12 * $3350 = $40,200

Since, all amount not used as expenses is saved :

Total amount saved = $50,000 - $40,200

Total amount saved = $9800

Answer:

$9,800, just took the test

Step-by-step explanation:

took the test

Answer:

39.3078

Step-by-step explanation:

i am not for sure but i belive this is correct:)

Answer:

House coordinate = (5, 1)

Library coordinate = (10, 13)

Step-by-step explanation:

Given :

House coordinate = (5, 1)

Library coordinate = (10, 13)

Distance between house snd library :

Distance = sqrt[(x2 - x1)² + (y2 - y1)]

x1 = 5, x2 = 10, y1 = 1, y2 = 13

Distance = sqrt[(10 - 5)² + (13 - 1)²]

Distance = sqrt[(5² + 12²)]

Distance = sqrt(25 +144)

Distance = sqrt(169)

Distance = 13

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

Explanation:

Apply the law of cosines to find angle C

c^2 = a^2 + b^2 - 2*a*b*cos(C)

19^2 = 11^2 + 17^2 - 2*11*17*cos(C)

361 = 121 + 289 - 374*cos(C)

361 = 410 - 374*cos(C)

361 - 410 = -374*cos(C)

-49  = -374*cos(C)

-374*cos(C) = -49

cos(C) = (-49)/(-374)

cos(C) = 0.131016042780749  ..... which is approximate

C = arccos(0.131016042780749)

C = 82.4716905247836

C = 82 degrees

Notes:

I'm just going to take a chance and say 1.A, and 2.D.

Answer:

7

Step-by-step explanation:

For the problem:

3 1

2

÷  

1

2

= ?

Convert any mixed numbers to fractions:

3 1

2

=  

7

2

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7

2

÷  

1

2

=  

7

2

×  

2

1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 2

2 × 1

=  

14

2

The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

14

2

=  

14 ÷ 2

2 ÷ 2

= 7

The result is:

3 1

2

÷  

1

2

= 7

Answer: table 1.

Step-by-step explanation: This is because the x-axis is going up by 2 and the y-axis is also going up by 2. There is a pattern and when you would graph it, it will be linear as it goes up by the same amount

Answer:

130 degrees

Step-by-step explanation

Angle 6 is 130 degrees because it has a vertical angle relationship with the angle measure of 130 degree

Angle 6 and 2 are equal because of the corresponding angle relationship

OR

The angle measure of 130 degrees have an alternate interior angle relationship with angle 2 which makes them equal

Therefore angle 2 is 130

Hope it helped :))

Answer:

28.0

Step-by-step explanation:

if rounding to the nearest tenth then the number in the hundredth determines what to do - if the number in hundredths is '5 and above, give it a shove'

meaning in this case the 7 bumps the 9 up by one; but a nine will carry over and bump the number in the ones place up by one

Answer:

28

Step-by-step explanation:

Hi there!

This decimal is a tricky one.

we know we’re rounding to the nearest tenth, so the hundredths place will come in handy.

Since there is a 7 in the hundredths place, we know we’re going to round up, but we have a 9 in the tenths place, so it would become a ‘10’, which is just going into the next whole number, which is 28.

I hope this helped!

Answer:

t>-2

Step-by-step explanation:

So Act like this is an equation and add -3 to both sides:

t>-2

Thats your answer!

The correct choice should be #1

Answer:

to blurry

..............

Answer:

they are equivalent to 4

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

lets change it to a different question

does [tex]\frac{20}{14}=\frac{80}{56}[/tex]

Answer:

Step-by-step explanation:

y=-1 ans.

x=2*-1=3

x=-2+3

x=1 ans.

Proof:

4*1-5*-1=9

4+5=9

9=9

Answer:

9

Step-by-step explanation:

Answer:

The slope is 2/1(rise over run)

So,2/1 is 2

Answer is 2

Answer:

The coordinate is (0,1) .

Step-by-step explanation:

A linear equation is given to us and we need to find the point at which it will cut y axis . The given eqution is y - 4x = 1. We know that at y axis x coordinate is 0. So on substituting x = 0 , we have ;

Put x = 0 :-

⇒ y - 4x = 1

⇒ y - 4*0 = 1

⇒ y - 0 = 1 .

⇒ y = 1 .