In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
If the spectator has an angle of 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?

hole?

25.6°
39.4°
64.3°
65.0°

Answer: 12 feet up

Step-by-step explanation:

This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs.  Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)

[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]

N.B. There are some very useful sets of numbers that can help you with this unit.

They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles.  The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))

Hope it helps :) and let me know if you want me to elaborate further.

Answer:

d

Step-by-step explanation:

you need to type it in the calculator and solve it

Answer: 8 days.

Explanation;

11/2 = 5.5

5.5 x 3 = 16.5

132/16.5 = 8

Answer:

8 days

Step-by-step explanation:

So, 11/2 * 3 = (33/2) = 16.5 ml  

Let the number of days medicine last be 'x'.  

⇒ 16.5 * x = 132  

⇒ x = 132/16.5  

⇒ x = 8.  

Therefore, Medicines last for 8 days.  

Hope it helps!

Answer:

f(4) = 1.4

Step-by-step explanation:

f(x) = (3x/2) - (14/3)

We are given that x = 4

f(4) = (3(4)/2) - (14/3)

f(4) = (12/2) - (14/3)

f(4) = 6 - (14/3)

14/3 as a decimal is 4.6

f(4) = 6 - 4.6

f(4) = 1.4 (approximately)

Answer: A

Step-by-step explanation:

By replacing in the given equation:

y=-3x-7

y=-3(-2)-7

y=6-7

y=-1

But for choices B, C and D the given x values don't fit with the images.

Answer: 13 1/3 degrees per hour

Explanation: 10/3 x 4 = 40/3

40/3 = 13 1/3

Answer:

A'(-6,4) B'(2,2) C'(-2,-2)

Step-by-step explanation:

The dilation is by 2. This just means you multiply each number by two. FOr example, for point a, multiply -3 by 2 and 2 by 2 to get (-6, 4).

Answer:

167.67 divided by 8.1 = 20.7

Answer:

both are c

Step-by-step explanation:

The number of fiction books are 7 and number of non fiction books are 3 respectively

let

number of fiction books = x

number of non fiction books = y

x = 4y - 5

Total books = z

x = 70% of z

y = 30% of z

x + y = z

4y - 5 + 30%(z) = z

4y - 5 + 0.3z = z

4y - 5 = z - 0.3z

4y - 5 = 0.7x

4y - 5 = 0.7z

4(0.3z) - 5 = 0.7z

1.2z - 5 = 0.7z

-5 = 0.7z - 1.2z

-5 = - 0.5z

z = -5/-0.5

z = 10

Therefore,

the number of non fiction = 30% of z

= 0.3 × 10

= 3

number of fiction = 70% of z

= 0.7 × 10

= 7

Learn more about equation:

https://brainly.com/question/16450098

Answer:

i think this correct

Step-by-step explanation:

3.24=(1+9.4/100) x

then x= 2.961 $

Answer:

did u mean 7 minutes & 30 seconds or

do you need seperate percentage for each ???

Answer:

420 i think

Step-by-step explanation:

7 mins

7×60

=420

plus the 30sec

450 sec

450/3600×100

45000/3600

450/36

12.5

Answer:

Step-by-step explanation:

Three-fourths of the difference of a number and 7 is negative fifteen:

Step-by-step explanation:

4x×y=20

.....

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

The expression for four times the product of a number x and a number y is equal to 20 is 4xy = 20.

Given,

Four times the product of a number x and a number y is equal to 20.

We need to write the expression.

- 2 times M = 2 x M

- Product of M and N = M x N

- 3 more than M = M + 3

- 3 less than M = M - 3

Find the expression.

We have,

Four times the product of a number x and a number y is equal to 20.

Here,

The product of a number x and a number y can be written as:

= (x) x y

Four times the product of a number x and a number y can be written as:

= 4 x [ (x) x y ]

- is equal to 20 can be written as:

= 20

Now,

We get,

4xy = 20

Thus the expression for Four times the product of a number x and a number y is equal to 20 is 4xy = 20.

Learn more about how to write an expression here:

https://brainly.com/question/15284271

#SPJ2

Answer:

Step-by-step explanation:

First one is TRUE...you'd multiply by negative one third

Second is FALSE...no multiplication needed to get x as a positive.

Step-by-step explanation:

This is an isosceles triangle because in an isosceles triangle angles opposite to each of the equal sides must also be equal. Since the diagram shows 2 equal angles we can say its isosceles.

So 3(x+2) = 24

8= x+2

x = 6

Answer:

x = 6

Step-by-step explanation:

The triangle given is an isosceles triangle.

Which means, the two sides and the two angles will be the same.

One of the sides is 24.

The other is 3 ( x + 2 )

Hence, we will get this equation.

24 = 3 ( x + 2 )

24 = 3x + 6

24 - 6 = 3x

18 = 3x

6 = x

Thus, x = 6.

I hope it helps.

Answer: 4914

Step-by-step explanation:

multiply 15 and 20 to make 300

multiply 24 and 27 to make 648

set up proportion

[tex]\frac{300}{648}[/tex] × [tex]\frac{2275}{x}[/tex]

cross multiply

300x = 648(2275)

300x = 1474200

x = 4914

Answer:

We want the ith row of the new matrix SijA to be the old jth row of A, so we need the ith row of Sij to extract the jth entry of column of A.

This mean the ith row of Sij must have a 1 in the jth entry and 0's everywhere else.

Similarly, the jth row of Sij must have a 1 in the ith entry and 0's everywhere else.

in the piecewise notation this is

(Sij)kl ={1 if k=i and l=j, 1 if k=k and l=i; 1 if k=l but k#i,j, 0 otherwise

Step-by-step explanation:

3rd graph, far right on top

Step-by-step explanation:

Use the vertical line test to determine (one input for x cannot have two outputs of y)

Answer:

38 in

Step-by-step explanation:

114 yds divided by 3 = 38 in

Answer:

16x

Step-by-step explanation:

(3x + 2) (x - 6)

Multiply 3x by x and -6

3x^2 - 18x

Multiply 2 by x and -6

2x - 12

Combine like terms

3x^2 - 16x - 12

The middle term is 16x

Answer:

24 adults

Step-by-step explanation:

The equation to represent the scenario is

4x + 7x = 66

Combine like terms

11x = 66

Isolate x

x = 6

To find the amount of adults attending the carnival, substitute 6 with x.

6*4 = 24 adults

7*4 = 42 children

24 + 42 = 66 people in total

Answer:

a) y = 0.10(16) + 100

y = $ 101.60

b) y = 0.10(150) + 100

y = $115

c) y = 0.10(200) + 100

y = $120

d) y = 0.10(250) + 100

y = $125

Step-by-step explanation:

9514 1404 393

Answer:

  7.  $10,459.28

  8.  $30,060.93

Step-by-step explanation:

Your table 12-2 will tell you the present-value multiplier of the annual payment for a 10-year annuity due will be ...

  7%: 7.515232

  11%: 6.537048

__

7. The 11% table value will be used with a payment of $1600 to find the present value:

  6.537048 × $1600 = $10,459.28 . . . present value of the annuity due

__

8. The 7% table value will be used with a payment of $4000 to find the present value:

  7.515232 × $4000 = $30,060.93 . . . present value of the annuity due

Answer: No

Step-by-step explanation:

2 is double 1.

Because 11 is not double 9, the ratios are not equivalent.

Hope it helps :)

Answer:

don't see the relationship, but if it's a proportional relationship it should have the same result every time you divide the x by the y or vice versa.

Answer:x=-3.5

Step-by-step explanation:

Answer:

P = 12 + 5x

Step-by-step explanation:

P = a + b + c

P = 7 + (x + 4) + (4x + 1)

  = 7 + x + 4 + 4x + 1

  = 12 + 5x

x=4,5,6

x=4

[tex]\\ \sf\longmapsto y=3(4)+10[/tex]

[tex]\\ \sf\longmapsto y=12+10=22[/tex]

x=5

[tex]\\ \sf\longmapsto y=3(5)+10=15+10=25[/tex]

x=6

[tex]\\ \sf\longmapsto y=3(6)+10=18+10=28[/tex]

Step-by-step explanation:

y = 3x + 10

Soo :

y = 3(4) + 10 = 12 + 10 = 22

y = 3(5) + 10 = 15 + 10 = 25

y = 3(6) + 10 = 18 + 10 = 28

Answer:

These figures are not the same because the Slope of DE is not the same as the slope of JK.

Step-by-step explanation:

Slope of DE = -2/1

Slope of JK = -1

If they were similar, the slope would be the same, but the size would not.

-Chetan K