A car is traveling at a constant speed of 45 miles per hour. How many feet does it travel in 6 seconds?

Answer:

[tex]\sf x=7\sqrt{6}[/tex]

Step-by-step explanation:

As the base angles of the triangle are the same, then the legs of the right triangle are also equal.  Therefore, we can use Pythagoras' Theorem to calculate x.

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of the right triangle)

Given:

Substituting the given values into the formula:

[tex]\sf \implies (7\sqrt{3})^2+(7\sqrt{3})^2=x^2[/tex]

[tex]\sf \implies147+147=x^2[/tex]

[tex]\sf \implies x^2=294[/tex]

[tex]\sf \implies x=\sqrt{294}[/tex]

[tex]\sf \implies x=\sqrt{49 \cdot 6}[/tex]

[tex]\sf \implies x=\sqrt{49}\sqrt{6}[/tex]

[tex]\sf \implies x=7\sqrt{6}[/tex]

[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos45=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{2}}=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{3}\sqrt{2}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{6}[/tex]

Answer:

82 ft²

Step-by-step explanation:

Answer:

z = 58

Step-by-step explanation:

Since SU is a midsegment of QRT, the length of SU is one-half the length of RQ.

[tex] \frac{1}{2} (z - 40) = z - 49[/tex]

[tex]z - 40 = 2z - 98[/tex]

[tex]z = 58[/tex]

The data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.

A virtual data warehouse includes a set of separate databases.  These separate databases can be queried together, enabling Ron to effectively access all the data as if it was stored in one data warehouse.

A virtual data warehouse is not like a distributed, LAN-based, multistage, or stationary data warehouse.

In the case of a distributed data warehouse, there is a conglomeration of separate components connected via a network.

Thus, the data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.

Learn more about data warehouses at https://brainly.com/question/25885448

Answer:

C. Virtual

Step-by-step explanation:

Answer:

Since it starts at 17 and is increasing by 3 each time, the 70th term will be:

17 + 3(70) =

17 + 210 =
227

In conclusion, 227 would be the 70th term in the sequence.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Step-by-step explanation:

Tn = a + (n - 1)d

n = 70, a = 17, d = > 20 - 17 => 3

T_70 = 17 + (70 - 1)3

T_70 = 17 + 69•3

T_70 = 17 + 207

T_70 = 224

Answer:

it depends

Step-by-step explanation:

sometimes a teacher will accept "there are infinite solutions" but if  you cant you may need to do something else(this applies to basically everything)

for an example lets use x=1

(1,+infinity)

or

(1,-infinity)

(this is being graphed.)  (this may not apply to everything)

i hope this helps

Answer:

3 1/5 = 16 / 5

1 1/2 = 3 / 2

16 / 5 * 3 / 2 = 48 / 10 = 24 / 5

The correct answer is 24 / 5 = 4 4 /5

(You can check on your calculator)

Answer:

obtuse angled triangle

Step-by-step explanation:

one angle is more than 90

[tex]|-16-x|=0\\\\\implies -16-x = 0\\\\\implies x = -16[/tex]

Answer:

10x12=120 inches

Step-by-step explanation:

multiply 12 inches by 10 feet

Answer:

5 × 30 L = 150 L

______________

Answer:

You're answer is D.18b

Hey there!

The product of a number and 18 means you multiply that number times 18; the result is called the product.

When we multiply a number times a variable, we always write the number before the variable.

For example, we multiply 4 times d, and the result is 4d.

Let's check the options and see if we can spot something like "5a"

The first option:  we multiply 18 times the difference of b and 18.

The second option: we add 18 and b

The third option: we divide 18 by b

The fourth option: we multiply 18 times b (That's the right option! We did it  :)

Hence, the answer is

[tex]\boxed{\boxed{\bold{18b}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Answer:

12

Step-by-step explanation:

If 7 is less then y by 5, you add 5 to 7

7 + 5 = 12

resulting in y equaling 12

12 - 5 = 7

Answer:

option c

Step-by-step explanation:

Let the sides of the right angled triangle = x , (x +1) , (x +2)

Perimeter = 12 feet

x + x +1 + x + 2 = 12

x +x + x + 1+2 = 12

Combine like terms

3x+  3 = 12

Subtract 3 from both sides

3x = 12- 3

3x = 9

Divide both sides by 3

x = 9/3

x = 3

x + 1 = 3 + 1 = 4

x + 2 = 3 + 2 = 5

The sides of the triangle are 3 , 4 ,5

The biggest side will be the hypotenuse.

So, hypotenuse = 5 ft. other legs are 3 and 4

[tex]\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ[/tex]

another angle = 180 - [ 90 + 53.13]

                        = 180 - 143.13

                         = 36.87°

Answer: 1/6

Step-by-step explanation: There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.

Answer:

The angles are not congruent

Step-by-step explanation:

This is because the two triangles show angle angle angle and that does not prove triangle congruency.

Answer:

$3,250

Step-by-step explanation:

Find the perimeter of the yard ( the distance around the yard).

A rectangle has two sides of each dimension.

The perimeter is 20 + 20 + 45 + 45 = 130 feet.

Now multiply the total feet by the cost per foot:

130 feet x 25 per foot = $3,250 total.

Answer:

1

Step-by-step explanation:

The distance between A to B is 1 unit

Answer:

476 inches. i dont know how to do an explanation i just looked it up lol

Answer:

476 inches

Step-by-step explanation:

First convert 12 yards to 36 feet. We know this is the conversion because there are 3 feet in every foot, and 12 times 3 is 36.

We add 36 feet to 3 feet and we get 39 feet. There are 12 inches in a foot, so we do 12 times 39 feet and we get 468 inches.

The we add 468 inches to 8 inches and finally get 476 inches.

Answer:

x = 6

Step-by-step explanation:

We know that the angles in a triangle add to 180°, so we can add the angles shown in this triangle together, make them equal to 180° and solve for x.

90° + (4x + 3)° + 63° = 180°

90° + 4x° + 3° + 63° = 180°

4x° + 156° = 180°

4x° = 24°

x = 6

So, x = 6. Hopefully, this helped! If you have any further questions, let me know.

Answer:

that would be the circumference of  the circle

= 2 pi  r

= 2 * pi * 2

=  6.28 feet   to 2 DP's.

Step-by-step explanation:

Answer:

6 ft

Step-by-step explanation:

Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft

[tex]Ft=\frac{cm}{30.48}\\\\Ft=\frac{180}{30.48}\\\\Ft=5.90551181\\\\Ft\approx 6[/tex]

180 cm ≈ 6 ft

Hope this helps!

Answer:

9.76 M

Step-by-step explanation:

32/3.28

9.756097561

9.76

Answer: 11A+8B

Step-by-step explanation:

Answer:

 [tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\boxed{a^{2} -b^{2} = (a +b)(a -b)}[/tex]

9x² -9y²= 72

Factorise:

9(x² -y²)= 72

Divide both sides by 9:

x² -y²= 8

(x +y)(x -y)= 8

Given that x -y= 1.5,

(x +y)(1.5)= 8

Divide both sides by 1.5:

x +y= [tex]5\frac{1}{3}[/tex]

Answer:

function

Step-by-step explanation:

x coordinates don't repeat

Answer:

1) right angled triangle

2) isosceles triangle

3) equilateral triangle

4) scalen triangle

5) isosceles triangle

6) right angled triangle

Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345