All real solutions of the equation.

Answer:

15 ÷ 17

Step-by-step explanation:

Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,

From trigonometric ratios, cosx° = adjacent/hypotenuse

= 15 cm/17 cm

= 15/17

= 15 ÷ 17

Answer:

with what life

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 15[tex]\sqrt{3}[/tex] , y = 15

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 30[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 15[tex]\sqrt{3}[/tex]

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

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{30}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15

$105

15*3=45

12*5=60

60+45=105

(12*5)+(15*3)=105

Can i get brainliest

The number of $15 DVDs and $12 DVDs at an electronics store will be 3 and 5, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

At a hardware store, DVDs are at a bargain. A few DVDs cost $15.00 each and some expenses $12.00 each. Bart bought 8 DVDs and spent a sum of $105.00.

Let 'x' be the number of $15 DVDs and 'y' be the number of $12 DVDs. Then the equations are given as,

x + y = 8                     ...1

15x + 12y = 105         ...2

From equations 1 and 2, then we have

15x + 12(8 - x) = 105

15x + 96 - 12x = 105

3x = 9

x = 3

Then the value of y is given as,

y = 8 - 3

y = 5

The number of $15 DVDs and $12 DVDs at an electronics store will be 3 and 5, respectively.

More about the solution of the equation link is given below.

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Answer:

A. It is supplementary to angle APC

Step-by-step explanation:

Vocabulary:

Supplementary Angle - Two angles that when added together equal 180 degrees.

If we look at the graph provided which is attached below we can see that if we add angles CPB and APC it forms a straight line (a straight line always = 180 degrees) Making the answer A. It is supplementary to angle APC

Answer:

Step-by-step explanation:

Which statement is true about Angle C P B?

It is supplementary to Angle A P C.

It is complementary to Angle A P C.

It is congruent to Angle A P C.

It is linear to Angle A P D.

Answer:

12 feet

Step-by-step explanation:

Answer: the second one/ \/36/6

Step-by-step explanation:

Answer:

8 m

Step-by-step explanation:

7.5 - 1.5 = 6

2 + 6 = 8

Answer: 829.44 ft²

Step-by-step explanation:

Correction - The walkway is 31.2 feet wide.

To solve this, first find the area of the fountain:

Area of a square = Length * Width

= 12 * 12

= 144 ft²

The find the area of the walkway including the fountain:

= 31.2 * 31.2

= ‭973.44‬ ft²

To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:

= 973.44 - 144

= 829.44 ft²

Answer:

7/24 i think i hope this helps and im right

Answer:

B. A(n) = P + (n-1)i*P

Step-by-step explanation:

The formula to determine the simple interest formula is given below:

Simple interest = P×r × t

where

P denotes the principal

r denotes the rate of interest

And, t denotes the number of years

Now we replace i with the t

So,

SI = Pni

Now for n-1 years, the simple interest is

SI = P(n - 1)×i

So, the total amount would be

A(n) = P + (n - 1)i × P

Answer:

multiply 75.4 by 60 =4,524

Step-by-step explanation:

3 coffees + 2 muffins = $7

therefore,

[tex]3x + 2y = 7[/tex]

2 coffees + 4 muffins = $8

therefore,

[tex]2x + 4y = 8[/tex]

Answer:

i think in every coast we're adding two shillings in the first sentence the total was 5 and we paid $7 and in the second sentence the total was 8 dollars meaning we added to shillings.

Step-by-step explanation:

in my school we are taughtthat we shouldn't mix goats with sheeps so we this the same way we can't mix x and y so in my opinion I guess you can say x + y =to that amount of money at the end you paid if it's 8 dollars or 7 dollars. we can say x represents the coffees and y represents the muffins that's how I get it I hope you want to be angry with me. for example 3 + 2 equals to 7 .3 + 2 is 5 so we'll carry five to the other side of equals where we will make it be minus so we'll say 7 - 5 where will get 2

Given:

The graph of a relations.

To find:

Whether the relation is a function or not.

Solution:

A relation is a function if there exist unique outputs for each input. If a graph passes the vertical line test then is a function.

Vertical line test: Each vertical line intersect the curve at most one.

In the given figure draw a vertical at [tex]x=1[/tex] as shown in the below figure.

From the below graph, it is clear that the vertical line intersects the curve at two points. So, it does not pass the vertical line test.

Therefore, the given relation is not a function.

Answer:

73% = parameter

68% = statistic

Step-by-step explanation:

Parameter and statistic differs from one another in statistical parlance in that, parameter refers to nemwrical characteristic derived from the population data. In the scenario described above, 73% describes the percentage of all registered Voters (population of interest). On the other hand, statistic refers to numerical characteristic derived from the sample data. 68% represents the percentage of democrats from the sample surveyed from the the larger population.

Hence,

68% is a sample statistic and 73% is a population parameter.

where's the circle? :v

Answer:

1. 4 less than x

2. v = 15.00n

Answer:

4 minus x and v = 15.00n

Step-by-step explanation:

Answer:

1.78 > 0.88

Because you would always put the sign on the bigger number.

Answer:

1.78 > 0.88

Step-by-step explanation:

It is > hope this helped.

Answer:8 cars

Step-by-step explanation:

to find the least amount of cars dived 30/4 which equilds 7.5

Since there are 2 remaining students, an additional car will be needed bringing the total to 8 cars.

Answer:

Option C is correct.

(3x)² - 2²

Answer: It is D or C

Step-by-step

I think it is D or C because 9 times 2 is 18. 18 minus 4 is 14. And all the other equations equal something else. The first one is 3- 2times 2 and that is 4 so that would be one. The second is x minus 4 that would be 8. Then the next would be 9 minus 4. That is 5 so it is either C or D.

1/4+1/5+1/6=1/x

LCM = 60

15/60+12/60+10/60=1/x

37/60=1/x

37x=60

x=60/37=1.62, round =1.6

1.6 HOURS

The number of hours they would take them all working together is around 1.6 hours.

A ratio is the divide of the two variables and the lower variable known as the denominator should not be zero.

Given that laine takes 4 hours to complete work

In 1 hour Laine will do 1/4 part of the work.

In 1 hour Leslie will do 1/5 part of the work.

In a 1-hour Lance will do 1/6 part of the work.

so let's suppose all done work by x hours then

1/4 + 1/5 + 1/6 = 1/x

x =1.6 so all together done the work by 1.6 hours.

For more information about ratio and proportion.

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What's the question?

What are we supposed to do?

Answer:

this just confused me so much

Step-by-step explanation:

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Given: If x=6, what is the smallest natural number y that makes x2+y2 rational .

To Find: Smallest value if y so that the expression is rational .

Solution : On substituting x = 6 , we have

[tex]=> x^2+y^2= 6^2+y^2\\\\ x^2+y^2= 36+y^2[/tex]

Now for the whole expression has minimum value y^2 should be minimum , also y should be natural no. The set of Natural no. is ,

[tex]=> N=\{ 1,2,3,4,... ..,\infty\}[/tex]

Therefore the smallest Natural no. is 1 . Therefore minimum value of y is 1.

The minimum value of y is 1.

I'm on my school computer so the picture is blocked sorry :(

Answer:

the answer is in the photo hope it help

Answer:

The answer is 3,100

Step-by-step explanation:

If you subtract the 8,500 from his parents and his football scholarship you get 4,900 and then take the 1,800 from his saved money, You get what he still needs, which is 3,100.