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Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.

Answer:

Length multiplied by the width

Step-by-step explanation:

Answer:

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Answer:

Marsha earned interest = $850

Step-by-step explanation:

Amount deposited = $8500

Time = 2 years

Interest rate = 5% = 0.05

We need to find how much did Marsha earn in interest

The formula use is: [tex]I=P\times r \times t[/tex]

Where I is interest earned, P is amount deposited, r is interest rate and t is time.

Putting values and finding interest.

[tex]I=P\times r \times t\\I=8500\times 2\times 0.05\\I=850[/tex]

So, Marsha earned interest = $850

Answer:

Graph E: Y= -1/3x +3

Grpah F: Y= 1/2x

Graph G: Y= x-3

Graph H: Y= -x

Step-by-step explanation:

Answer:

not similar bcs side are not in ratio

Answer:

4:3

16:12

Step-by-step explanation:

Both of those numbers can be multiplied or divided to equal 8:6

Answer:

8-√5

I hope this is good enough:

The conjugate of a two-term expression is just the same expression with subtraction switched to addition or vice versa.

Answer:

Any fraction with the same number on both the top and bottom

Step-by-step explanation:

example: 1/1 and 2/2

Answer:

2/2, 10/10

Step-by-step explanation: They all equal one

Answer:

last one

Step-by-step explanation:

the last one because it cannot be expressed as a fraction.

Answer:

0

Step-by-step explanation:

6-6=0 so when you multiply s by 0 its 0

Answer:

Option C

Step-by-step explanation:

-3 is the y intercept so the graph should intersect at -3 on the y axis.

x is positive so the graph should point up.

Answer:

Option C

Step-by-step explanation:

By looking at the equation y = x - 3 we can see that the slope is positive (so the line will have an upward trend) and that the y intercept is - 3 (which mean the line will go through the y axis in that point. So now we have two following statement....

The only line following this statements is line C.

Answer: 3/4 granola bars

Step-by-step explanation:

From the question, we are given the information that Davita brought 6 granola bars for herself and the 7 other girls in her camp group.

The fraction of a granola bar that each girl gets if they agree it equally would be the number of granola bars bought divided by the total number of girls which is 8. Therefore, the calculation would be:

= 6 ÷ 8.

= 3/4 granola bars

Each person gets 3/4 granola bars.

The fraction of a granola bar that each girl will get is 3/4

To get the fraction of a granola bar will each girl get, we will take the ratio of the total granola to total number of girls.

Given the following parameters

Total number of 6 granola bars

Total number of girls plus Davita is 8

Taking the required ratio;

Ratio = number of granola: total number of girls

Ratio = 6:8

Ratio = 3:4

Hence the fraction of a granola bar that each girl will get is 3/4

Learn more on fractions here; https://brainly.com/question/24191335

Answer:

slope:5/2

y-intercept:-9

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

First, we need to change the equation into slope-intercept form.

5x-2y=18     Isolate the y by subtracting 5x on both sides.

-5x     -5x

-2y=-5x+18  Divide both sides by -2.

/-2   /-2

y=2.5x-9

The slope is the number next to x, so the slope is 2.5.

Hope this helps! Have a great day C:

The answer is 15 cm

39 cm, 15 cm, 36 cm

Answer:

15.012

Step-by-step explanation:

tan(theta) = opposite/adjacent

tan65 = x/7

x = 7tan65

x = 15.012

hope this helped!

Answer:

The first one is the correct one

Answer:

7.3≤x<7.4

Step-by-step explanation:

Answer:So you subtract 150 from 739 which is 598 and then you divide 589 with 15.50 which is 38. The answer is 38 hours

Step-by-step explanation:

739-150=589

589/15.50 is 38

The answer is 38 hours

Answer:

30,000​

Step-by-step explanation:

3,000 times 10 is 30,000, therefore 30,000/10=3,000

Answer:

Step-by-step explanation:

3000 of 1/10

3000*0.1=300

Answer:

the third side must be greater than 6 but less than 16

Step-by-step explanation:

use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)

5 + 11 > 3rd side (n)    n < 16

5 + n > 11       n > 6

11 + n > 5;   n > -6   discounted

Answer:

v= 17

Step-by-step explanation:

Start with the given equation.

19v – 18 = 16 + 17v

Move -18 to the other side, and swap it's sign.

19v = 16 + 18 + 17v

Move 17v to the other side and swap it's sign.

19v - 17v = 16 + 18

Combine like terms.

2v = 34

Divide by 2v.

v = 17

Answer:

v = 17

Step-by-step explanation:

Given

19v - 18 = 16 + 17v ( subtract 17v from both sides )

2v - 18 = 16 ( add 18 to both sides )

2v = 34 ( divide both sides by 2 )

v = 17

Answer:

44

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:

x + y = 12

x - y^2 = 0

Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.

x + y = 12

-x + y^2 = 0

By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.

y = (-B +/- sqrt(B^2–4AC))/2A

This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.

Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.

As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.

Answer:

81 degrees

Step-by-step explanation:

Step-by-step explanation:

Here,

X+128+100+51=360

X+279=360

X=360-279

:.x=81

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sorry for the bad handwriting :(

Answer:

It's 155

Step-by-step explanation:

Since the whole angle is 180

And u got 25

So 180-25=155

Answer:

155

Step-by-step explanation:

a+25=180

a. =180-25

a. = 155

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

Answer:

D) I and II only

Step-by-step explanation:

Answer:

315 beads

Step-by-step explanation:

The question above is calculated as:

25 necklaces = 375 beads

21 necklaces = x beads

Cross Multiply

25x = 21 × 375

x = 21 × 375/25

x = 7875 / 25

x = 315 beads

Hence, Jared used 315 beads to make 21 necklaces yesterday