Which is the solution of the system of equations shown in the graph?

Answer:

x = 27.6907 units

Step-by-step explanation:

cos (62) = 13/x

x cos (62) =13

13 / cos(62)=x

x is 27.6907 units

Answer:

4

Step-by-step explanation:

3 + 3.4 = 6.4

which is greater than 4

the sum of the 2 smallest sides have to be greater than the largest side

Answer:

PR = 2*36 = 72

SU = (1/2)54 = 27

RS = 36

Step-by-step explanation:

By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,

The answer is b. because the other ones don't charge money according to the number of miles.

Answer:

The structure that you used in your research paper can also be used for your presentation. For example, just like how your

Step-by-step explanation:

It's 100 ... ... ... ... ...

Răspuns:

150 m

Explicație pas cu pas:

Reamintim:

Perimetrul unui dreptunghi, P

P = 2 (lungime + lățime)

P = 400

Lățime = x

Lungime = 3x

Astfel, avem:

400 = 2 (3x + x)

400 = 2 (4x)

400 = 8x

Împărțiți ambele părți la 8

50 = x

Lungime = 3x

Lungime = 3 * 50

Lungime = 150 m

Answer:

2

Step-by-step explanation:

x + 1/x = 2

x + 1 = 2x

x = 1

x³ + 1/x³

1³ + 1/1³.

1 + 1/1 = 1 + 1 = 2

Answer:

B. 54°

Step-by-step explanation:

There are 360° in a circle and sector 4 consists of 15% of it.

We just have to multiply the 2 numbers.

15% = 0.15

0.15(360) = 54

Why is this? Recall that (x-h)^2+(y-k)^2 = r^2  is the general template of a circle. The center being (h,k) and the radius is r.

For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.

The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer:

The ones selected are correct

Answer:

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Step-by-step explanation:

The equation that models the movement of the object is:

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

=========================================================

Explanation:

The quotient is the result after a division problem.

As another example, we would say that 9 is the quotient of 27 and 3 because 27 ÷ 3 = 9

We can use the slash symbol / to mean division. So we could say 27/3 = 9

Going back to the answer, we could rewrite j ÷ 9 as j/9

The order is important. This means j ÷ 9 is different from 9 ÷ j which represents "the quotient of 9 and j".

Answer:

do you still need help

Step-by-step explanation:

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Answers:

==============================================

Explanation:

We use these rules shown below

For reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).

Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.

Answer:

0.0512

Step-by-step explanation:

Probability of making a correct guess ; p = 1 / 5 = 0.2

q = 1 - p = 1 - 0.2 = 0.8

Number of questions, n = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 3) = 5C3 * 0.2^3 * 0.8^2

P(x = 3) = 0.0512

Answer:

0.25

Step-by-step explanation:

t/4+16=17

t=(17-16)/4

=0.25

Answer:

f(2)+g(3) = 5

Step-by-step explanation:

Given that,

f(x) = x² + 2

g(x) = 2-x

We need to find the value of f(2)+g(3).

f(2) = 2² + 2 = 6

g(3) = 2 – 3 = -1

So,

f(2)+g(3) = 6+(-1)

= 5

Hence, the value of the given expression is 5.

Answer:

Step-by-step explanation:

An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)

In this case you have two points (2,5) and (0,-1)

2 = x1 (cause it’s the first x)

5 = y1 (cause it’s the first y)

0 = x2 (second x)

-1 = y2 (second y)

So the slope would be

(5-(-1))/2-0= 6/2 = 3

Answer:

Hello! answer: 45

Step-by-step explanation:

90 + 45 + 45 = 180 therefore z = 45 hope that helps!

Hi there!  

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I believe your answer is:  

45°

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

a

Step-by-step explanation:

Answer:

10(6) + 5x = 180

60 + 5x = 180

- 60 - 60

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

5x = 120

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

5 5

x = 24

Step-by-step explanation:

The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D

Answer:

B

Step-by-step explanation:

x+x+94 = 180 (sum of angle of triangle)

2x+94 = 180

2x = 180-94

2x = 86

x = 86÷2

Therefore x = 43

Answer:

1 cup of brown sugar to 2 teaspoon of baking soda

Step-by-step explanation:

Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.

Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.

The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda

Answer:

volume = 904.78 cubic inch

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]

Answer:

904,32 in³

Step-by-step explanation:

The formula for finding the volume of a sphere with given radius is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

You simply substitute r³ with 6³:

[tex]V=\frac{4}{3} \pi 6^3[/tex]

Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³

Answer:

Choice C: Lauren is faster than Kevin, slower than Jeremy.

Step-by-step explanation:

Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.

Slope Formula: (y2-y1) / (x2-x1)

So lets take the table plots (2, 22) and (4, 33) to do this.

(y2-y1) / (x2-x1)

(33-22) / (4-2)

(11) / (2)

The speed of Kevin is 5.5 miles by hour.

Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:

5.5 * 2 = 11 miles per hour

To get the third biker's speed.

Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:

Jeremy: 12 mph

Kevin: 5.5 mph

Lauren: 11 mph

From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.