Charlotte is at a baseball game in the upper deck of the stadium. She is 200
200
feet away from home plate. If the angle of depression to the field is 38°
38
°
, at what height above the field is Charlotte sitting?

Answer: y=−4/5x−4

Step-by-step explanation:

5y+4x=−20

Step 1: Add -4x to both sides. 4x+5y+−4x=−20+−4x 5y=−4x−20

Step 2: Divide both sides by 5.

y=−4/5x−4

Answer: 2975

Step-by-step explanation:

From the question, we are informed that a college has a student to teacher ratio of 35 to 2 and that there are 170 teachers at the college,

The number of students in the college will then bee calculated as:

= 35 × 170/2

= 35 × 85

= 2975

Therefore, 2975 students attend the college

Answer:

1/8 more yards

Step-by-step explanation:

ez

Answer:

x = 3

y = 7

Step-by-step explanation:

y=3x-2

y=4x-5

then 3x-2 = 4x-5

reduce

x = 3

y = 7

Answer:

SOLVE FOR Y

y=

2

x+5

​

SOLVE FOR X

x=2y−5

Step-by-step explanation:

Answer:

14.085

Step-by-step explanation:

Answer:

2.34+5.4+6.345=14.085

Step-by-step explanation:

Answer:

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $9000

Step-by-step explanation:

Let Amy invested amount in a account with 8% simple interest = $a

Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]

                                                                  = [tex]\frac{a\times 8\times 1}{100}[/tex]

                                                                  = 0.08a

Remaining amount for the investment = $(20000 - a)

Interest earned after one year with rate of interest 9%

= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]

= $(1800 - 0.09a)

Total interest earned after 1 year = $1690

0.08a + (1800 - 0.09a) = 1690

1800 - 0.01a = 1690

0.01a = 110

a = $11000

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $(20000 - 11000) = $9000

Answer:

$28 per share

Step-by-step explanation:

Monday: $25

Tuesday: "Drops $2" "drops" is a key word for minus. So, 25-2 is 23.

Wednesday: "rises" is a key-word for addition. So, 23 + 6 is 29.

Thursday: "rises" again, is a key-word for addition. So, 29 +3 = 32.

Friday: D= "drops" is a key-word for minus. So your last step is subtracting. 32-1=28.

Hope this made sense!

Given :

Height of the window, h = 5 ft.

Distance of the sidewalk from the house, d = 12 ft.

To Find :

The length of the slope.

Solution :

We know, angle between wall and the floor is 90°.

So, we can say that the system makes an right angle triangle.

Let, length of the ramp is x.

So, Applying Pythagoras theorem in the triangle is :

[tex]x^2 = 5^2 + 12^2 \\\\x^2 = 25 + 144\\\\x^2 = 169\\\\x = 13\ m[/tex]

Therefore, the length of the ramp is 13 m.

Answer:

2199.11 (with pi)

2198 (with 3.14)

Step-by-step explanation:

A=2πrh+2πr²

A=2π(14)(11)+2π(14)²

A=2π(154)+2π(196)

A=2(483.56)+2(615.44)

A=967.12+1230.88

Answer:

infinitely many solutions

Step-by-step explanation:

Given the simultaneous equation

4x=10+4y... 1

2x-2y=15 .... 2

_____________

4x-4y = 10 * 1

2x-2y = 15 * 2

__________--

4x-4y = 10

4x-4y = 30

Add both equation

8x - 8y = 10+30

8x-8y = 40

Divide though by 8

x-y = 5

x = 5 +  y

Since the result gave 1 equation and 2 unknowns, then we will let x =k

k = 5 + y

y = k -5

k can be any integer

(x,y) = (k, k-5)

This show that the equation has infinitely many solutions

Answer:

w = 98

n = 6

a = 18

Step-by-step explanation:

Question 1)

7 = w/ 14

All you need to do is multiply each side by 14 to find w:

7(14) = W

W = 98

Question 2)

42/n = 7

For this one, first multiply each side by "n":

42 = 7n

and then divide both sides by 7:

N = 6

Question 3)

All you need to do for this question is divide 324 by 18 to find "a":

324/18 = a

a = 18

I hope this helps!

-TheBusinessMan

Answer:

23 m and 15 m

Step-by-step explanation:

THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?

Let the height of the rectangle is h.

Base = 8+h

Area of the rectangle, A = 65 m²

We need to find the base and height of the rectangle. The area of a rectangle is given by :

A = bh

So,

[tex]65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m[/tex]

Neglecting negative value, h = 15 m

Base  = 8+15 = 23 m

So, the base and height of the rectangle is 23 m and 15 m respectively.

Answer:

Step-by-step explanation:

Most metal conduct electricity well. To be more specific, anything with conduction or "free" electrons will conduct electricity very well.

Answer:

g=4

Step-by-step explanation:

10(g+3.50)=75

(g+3.50)=7.50

g=4

Step-by-step explanation:

Please refer to the attachment

Answer:

ALT + F5

Step-by-step explanation:

Answer:

where is the equation?

Answer:

6%

Step-by-step explanation:

300 ÷ 3 = 100

18 ÷ 3 = 6

Answer:

Step-by-step explanation:

a)     No of outcomes= 7

       total no of outcomes= 10

       probability = no of outcomes/total no of outcomes

       =7/10

b)     4/10 ( since the outcomes could be 1,2,3,4)

c)     no 1 to 10 has 5 odd numbers

       so, probability = 5/10 = 1/2

d)    multiples of 3 from 1 to 10 are :-

      3,6,9= 3 no's

      so probability = 3/10

Answer:

What.... what do you need help with

Step-by-step explanation:

Explanation

Answer:

stop asking me like I'm doing school

Answer:

[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]

Step-by-step explanation:

The question relates to dividing a fraction by proper and another fraction

The given expression is presented as follows;

[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )[/tex]

We rearrange the fractions as improper  fractions for easier division as follows;

[tex]2\dfrac{1}{3} = \dfrac{7}{3}[/tex]

[tex]-3\dfrac{2}{3} = -\dfrac{11}{3}[/tex]

Therefore, we have;

[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}[/tex]

[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]

Answer:

3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.

8,8,8 este primull!!!!!!! sper că te-am ajutat

Answer: freestyle

Step-by-step explanation:

Answer:

-16/5

and -9/4

Step-by-step explanation:

multiplying fractions means multiplying straight across and simplifying

Answer:

_16/5

_27/8

Step-by-step explanation:

I hope to help you

Answer:

a >= -3

Step-by-step explanation:

So A