Find the cosine of ZS.
37
S
T T
12
35
R
Simplify your answer and write it as a proper
fraction, improper fraction, or whole number.
COS (S) =



Geometry

Answer:

Let's let g = Dr. Garcia's age and s = his son's age.

g = 2s, right?

20 years ago, Dr. Garcia was g - 20 years old.  He was also 4(s - 20), 4 times his son's age 7 years ago.

g - 20 = 4(s - 20)

g - 20 = 4s - 80

In the first equation, we have g = 2s.  We are going to substitute this g into the second equation.

2s - 20 = 4s - 80

       60 = 2s

       s = 30

So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.

20 years ago, his son would have been 10 and Mr. Garcia would have been 40.  10 x 4 = 40.

Step-by-step explanation:

Brainliest?

Answer:

Dr. Garcia's age is 60, and his son's age is 30.

Step-by-step explanation:

Let x be Dr. Garcia's age, and y his son's age.

1. Dr. Garcia is twice as old as his son

x = 2 y

2. Twenty years ago, he was 4 times as old as his son was then

x - 20 = 4 (y - 20)

Substitute x in 2 and solve for y:

2 y - 20 = 4 (y - 20)

2 y - 20 = 4 y - 80

- 20 = 2 y - 80

60 = 2 y

y = 30

Put y back into 1:

x = 2 (30)

x = 60

So Dr. Garcia's age is 60, and his son's age is 30.

Answer:

C)18

Step-by-step explanation:

5+4=9 9x2=18

18 is your answer.

Answer:

b

Step-by-step explanation:

Answer:

C) x < 6

Open circle is no line under, closed circle has a line under.

The arrow also goes left so x must be less than 6

Answer:

(p +1) (4p - 5)

Step-by-step explanation:

1.) Look for 2 numbers that subtract and equal to the middle term (-1)

2.) 4 and 5

3.) 4p^2 +4p-5p - 5

4.) Factor out common factors by grouping the equation by two

5.) 4p(p+1) -5(p+1)

6.) group

7.) (4p - 5) (p+1)

Answer: Look st the picture below.

Step-by-step explanation: I got this right on Edmentum.

Answer:

x=5

Step-by-step explanation:

2x+10

______

2     2

x=5

Answer:

x = 5

Step-by-step explanation:

Step 1: Get the variable alone

Divide x from both sides.

2x + 10

2       2

Step 2: 10 divided by 2

10 divided by 2 equals 5

Answer: x = 5

Answer:

Take away 8 from 2 times m

2m - 8

7.48 unless you need it rounded up to 7.5

(1, -2)

The vertex is simply the turning point.

Answer:

51 ft

Step-by-step explanation:

a^2 + b^2= c^2

24^2 + 45^2 = c^2

c= 51

Answer:

it is 51 ft for the answer

Answer: option D. B = 59.6° or B' = 120.4°

Step-by-step explanation:

Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by

10/sin(B)=......

and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.

(why the closed? because the question said it is "approximated")

The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

Triangle is a three sides two dimensional surface having three angles.

We have,

A triangle in which,

One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.

And the side opposite to angle B is 10.

Now,

Using the law of sine,

i.e.

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]

So,

According to the given triangle,

We get,

[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]

We get,

[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]

On solving we get,

⇒

[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]

i.e.

[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]

So,

The option C is the correct answer.

Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

To know more about Triangle click here

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Step-by-step explanation:

Michael's Journey Time = 4 hours and 30 mins

=

[tex]4.5hours[/tex]

Speed = Distance ÷ Time

Given Distance = 108km

Time = 4.5 hours

Speed =

[tex] \frac{distance}{time} \\ = \frac{108}{4.5} \\ = 24 \frac{km}{h} [/tex]

My bad the answer is

Answer: 24 kilometers per hour

Answer:

[tex]7^{x}[/tex] or "7 to the power of x"

Step-by-step explanation:

Ok! So an exponential function is a function with a variable as an exponent.

                                         x                             y        

                                         0                             1

                                         1                              7

                                         2                            49

                                         3                           343

                              An example exponential function is [tex]2^{x}[/tex]

Now! Let's look at what number multiplies by each of our "y" values to get the following "y" value. 7!

Now let's see if we can put 7 to the power of x ([tex]7^{x}[/tex]) to get the rest of our table.

                                                       [tex]7^{0}[/tex] = 1

                                                       [tex]7^{1}[/tex] = 7

                                                      [tex]7^{2}[/tex] = 49

                                                      [tex]7^{3}[/tex] = 343

                      Now, we know our exponential function is [tex]7^{x}[/tex]

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

C= $1t + x

Step-by-step explanation:

So,  an organic gallon of milk is 1 dollar more then regular so the equation starts at $1 + x.

But then buying the organic milk over time is t so you add that to the one dollar since it applies to the organic milk. Now the equation is $1t + x.

But now, the expression we wrote is equal to C so, now the equation is C=$1t + x

Answer:

38 dimes, 50 quarters

Step-by-step explanation:

Let d = dimes

Let q = quarters

d + q = 88

d = 88 - q

0.10d + 0.25q = 16.30

0.10d + 0.25q = 16.30

0.10(88 - q) + 0.25q = 16.30

8.8 - 0.10q + 0.25q = 16.30

8.8 + 0.15q = 16.30

0.15q = 7.5

q = 50

d = 88 - q

d = 88 - 50

d = 38

Answer:

17 cm

Step-by-step explanation:

By Pythagoras Theorem

[tex]k = \sqrt{ {15}^{2} + {8}^{2} } \\ \\ k = \sqrt{ 225+ 64 } \\ \\ k = \sqrt{289} \\ \\ k = 17 \: cm[/tex]

Answer:

it isn't correct

[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]

Answer:

her solution isn't correct .

because she had done a slight mistake in her calculation.

i.e.

[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]

Step-by-step explanation:

solution given:

x²-6x-7=0

making it a perfect square

we must make it on the form of (a+b)²or(a-b)²

so

x²-2*3*x+3²-3²-7=0

(x-3)²-9-7=0

(x-3)²-16=0

adding 16 on both aide

(x-3)²=16

doing square root on both side

[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]

x-3=±4

taking positive

x-3=4

adding 3 on both side

x=7

and.

taking negative

x-3=-4

adding 3 on both side

x=-4+3

x=-1

x=-1 or 7

Answer:

2.025

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B

Answer:

Equal

Step-by-step explanation:

The two terms are equal.

When you convert 11 1/3 into an improper fraction, it is 34/3.

Answer:

B.

Step-by-step explanation:

I had this question on a test and got it right

The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.

Note that in the question:

Last year = 6 + 8x.

Looking at the equation one can see that the premium is = 6

kayaks  is known to be charging at 8

So we have to double the value which is:

8 x 2 = 16

So therefore, the equation will be:

16x + 6

Therefore, The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.

Learn more about expression from

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Answer:

3 4/5

380%

3.8

plz can i get brainliest

Answer:

X=11+ √157/12

x= 11-√157/12

Step-by-step explanation:

2x+3=12x^2 -20x

Move all terms to one side.

2x+3−12x2+20x=02x+3−12x ^2+20x=0

Simplify  

22x+3−12x^2=0

Use the Quadratic Formula.

a= -12

b= 22

c= 3

Answer:

Fourth

Step-by-step explanation:

This isn’t high school math by the way.

The circled object is number 4 in the sequence of the object, thus, being the fourth object.

Answer:

i'd say so

Step-by-step explanation: none of the sides are the same length as another

Answer:

sure ;D its 12.25 :p

Step-by-step explanation:

Answer: First one is J second is B

Step-by-step explanation:

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

negatives are less than positives,

Answer:

2c or 2 x c

Step-by-step explanation:

Product means multiplication, they put 2 first then c last.

Hope this helps

~R3V0