In a rectangular coordinate system, what is the number of units in the distance from the origin to the point (7, -24)?

Answer:

tan p = 5/12.

tan p = cot r.

Step-by-step explanation:

RQ = √(13^2 - 12^2)

= √25

= 5.

tan p = opposite side / adjacent side = 5/12.

cot r = adjacent side / opposite side = 5/12.

tan p = cot r.

Answer:

4382 to 1 sf is [tex]4 * 10^3[/tex]

Since powers are not counted in significant figures so this is the answer.

Hope it helps you :D

Answer:

If angle 2 = 110 then angle 4 = 110

360 = 110 + 110 + x

Angle 1 + Angle 3 = 140

Since vertical angles are equal, then Angle 1 = 140 / 2 = 70 degrees

Step-by-step explanation:

Step-by-step explanation:

∠3+∠4= 180°

Since ∠2 ≅ ∠ 4 and  ∠2= 110°

∠3= 180° - ∠4= 180° - ∠2= 180° - 110°= 70°

So proved

Answer:

a) x = 5

b) x = 12

Step-by-step explanation:

x + 3 = 8

Subtract 3 on both sides.

x = 8 - 3

x = 5

x - 5 = 7

Add 5 on both sides.

x = 7 + 5

x = 12

Answer:

[tex]a)x = 5 \\ b)x = 12[/tex]

Step-by-step explanation:

[tex]a)x + 3 = 8 \\ x = 8 - 3 \\ x = 5[/tex]

[tex]b)x - 5 = 7 \\ x = 7 + 5 \\ x = 12[/tex]

Answer:

B) II and III only

Step-by-step explanation:

Coordinates of A = (-1,0)

Coordinates of P =(4,12)

Let (x,y) be the coordinates of B

Distance formula : =[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AP = BP

[tex]\sqrt{(4+1)^2+(12-0)^2}=\sqrt{(4-x)^2+(12-y)^2}[/tex]

[tex](4+1)^2+(12-0)^2=(4-x)^2+(12-y)^2[/tex]

[tex]169=16+x^2-8x+144+y^2-24y[/tex]

[tex]x^2-8x+y^2-24y-9=0[/tex]

I)(3/2,6)

[tex](\frac{3}{2})^2-8(\frac{3}{2})+6^2-24(6)-9=0\\-126.75 \neq 0[/tex]

II)(9,24)

[tex](9)^2-8(9)+(24)^2-24(24)-9=0[/tex]

0= 0

C)(-8,7)

[tex](-8)^2-8(-8)+(7)^2-24(7)-9=0[/tex]

0=0

So, II and III could be the coordinates of B

So Option B is true

II) II and III only

Answer:

There are infinitely many solutions

Step-by-step explanation:

As we see these are equal, so overlapping 2 lines. There are infinitely many solutions to the system

Answer:-2

Step-by-step explanation:

Answer: Option B.

Step-by-step explanation:

The price per ounce can be calculated as the amount of you paid divided the number of ounces that you get.

A) we have a table:

ounces          price

18                     $1.5

36                    $3.00

54                    $4.5

We can see that here we have a linear relationship. for example, the price for 18 ounces is $1.5

Then the price per ounce is:

p = $1.5/18 = $0.083

B) here we know that 15 oz cost $0.75, the price per ounce is:

p = $0.75/15 = $0.05

C) here we have 11 ounces, and the price is $2.20

then we have:

p = $2.2/11 = $0.2

Then we can conclude that the least expensive is option B.

Answer:b

Step-by-step explanation:

did it on khan

Answer:

Brianliest!

Step-by-step explanation:

It could be found if you were given the rate

since there is no rate, the question should be answered that there is not enough information

Answer:

Step-by-step explanation:

sin(45) x sin(60) = 1 - [tex]\frac{\sqrt{3}}{\sqrt{2}}[/tex]

This equation is false...

sin(45) * sin(60) = 0.612372435

1 - [tex]\frac{\sqrt{3}}{\sqrt{2}}[/tex] = -0.456475315

Answer:

The range of the data is 9.

Step-by-step explanation:

The frequency table shown is:

Age     Tally          Frequency

24         |                     1

25         ||                    2

26        |||||                  5

27        ||||                   4

28         -                     0

29        ||||                   4

30        |||||                  5

31         |||                   3

32        ||||                   4

33                              13

The range of a data set is the difference between the highest and the lowest value.

Range = Maximum - Minimum

           = 33 - 24

           = 9

Thus, the range of the data is 9.

Answer:

3

Step-by-step explanation:

Answer:

4 millimeters

Step-by-step explanation:

a radius is half of a diameter

Answer:

r = 4mm

Step-by-step explanation:

The radius is 1/2 of the diameter

r = 1/2 d

r =1/2 (8 mm)

r = 4mm

hope its helpful to uh...

Answer:

kilometers, C

Step-by-step explanation:

office ➡️ recording studio = 1km

recording studio ➡️ home = twice the distance = 2km

distance Ronny can walk, d

= 2km + 1km

= 3km

Answer:

r = 8

Step-by-step explanation:

15 = 1.5r+3

Subtract both sides of the equation by 3.

15-3 = 1.5r+3-3

12 = 1.5r

Divide both sides of the equation by 1.5.

12/1.5=1.5r/1.5

8 = r

r = 8

Answer:

[tex]8[/tex]

[tex]1.5r + 3 = 15 \\ 1.5r = 15 - 3 \\ 1.5r = 12 \\ r = \frac{12}{1.5} \\ r = \frac{120}{15} \\ r = 8[/tex]

Answer:

976cm^2

Step-by-step explanation:

Surface area:

Ara of cross section x 2 = 1/2 x 2 x 14 x 24 = 14 x 24 = 336

Area of base = 14 x 10 = 140

area of slope x 2 = 25 x 10 x 2 = 500

Total surface area = 500+140+336 = 640 + 336 = 973cm^2

Answer:

976 cm^2

Step-by-step explanation:

Area of triangle: 1/2bh

Area of rectangle b×h

2 Triangular ends 12×14=168 each So 336

2 sides 10×25=250 each So 500

1 base 10×14=140

Add: 140+500+336=976 square centimeters

Answer:

Solution,

Black=23+3=26

Brown=14+11=25

Blonde=1+6=7

Red=14+8=22

Now,

Total=26+25+7+22

=80

Hope this helps...

Good luck on your assignment....

Answer:

80

Step-by-step explanation:

Number of students is the sum of all the bars:

So the number is 80

Answer:

x = 8

[tex] m\angle A= 30\degree[/tex]

Step-by-step explanation:

By interior angle on one side of transversal postulate.

[tex] m\angle A + m\angle B = 180\degree \\

\therefore (6x - 18)\degree + (14x + 38)\degree = 180\degree \\

\therefore (20x + 20)\degree = 180\degree \\

\therefore 20x + 20 = 180

\therefore 20x = 180 - 20\\

\therefore 20x = 160\\\\

\therefore x = \frac {160}{20}\\\\

\huge \red {\boxed {\therefore x = 8}} \\\\

\because m\angle A= (6x - 18)\degree \\

\therefore m\angle A= (6\times 8- 18)\degree \\

\therefore m\angle A= (48- 18)\degree \\

\huge \purple {\boxed {\therefore m\angle A= 30\degree}} \\[/tex]

Answer:

[tex]w=2\\l=7[/tex]

Step-by-step explanation:

[tex]l+l+w+w=18\\\\2w+3=l\\\\2w+3+2w+3+w+w=18\\6w+6=18\\6w=12\\w=2\\\\2w+3=l\\2*2+3=l\\4+3=l\\l=7[/tex]

Answer:

3 cm by 6 cm

Step-by-step explanation:

Represent the length and width by L and W.  

The perimeter is P = 2L + 2W, and here the perimeter is 18 cm.

Finally, L = W + 3 cm.  substituting W + 3 cm for L in the above equation, we get:

18 cm = 2(W + 3) + 2W, or (after reduction)

9 cm = W + 3 cm + W

Then 2W = 6 cm, or W = 3 cm.

Then the length is L = W + 3, or 3 cm + 3cm = 6 cm

The dimensions of the rectangle are 3 cm by 6 cm.

Check:  Does 2(3 cm) + 2(6 cm) = 18 cm?  Yes

Answer:

62mph

Step-by-step explanation:

Answer: 250 miles

Step-by-step explanation:

100 kph = 62.5 mph

In 4 hours, the car will travel

62.5 x 4 = 250 miles

Answer:

(-5, 7), (7, 5) and (1, -11)

Step-by-step explanation:

see attached for points and possible parallelograms, they distinguished by different colored lines

the 3 points are: (-5, 7), (7, 5) and (1, -11)

Answer:

usas la sustitución para resolver esto

Step-by-step explanation:

Restar y

de ambos lados de la ecuación.

x = 7 − y

x − y = 1

Reemplazar todas las apariciones de x

en x − y = 1 con 7 − y

.

x = 7 − y

(7 − y) −y = 1

Restar y

de −y

.

x = 7 − y

7−2y = 1

Resuelve por y

en la segunda ecuación

x = 7 − y

y = 3

Reemplazar todas las ocurrencias de y

en x = 7 − y con 3

.

x = 7− (3)

y = 3

Simplifica 7− (3)

x = 4

y = 3

La solución al sistema de ecuaciones se puede representar como un punto.

(4,3)

El resultado se puede mostrar en múltiples formas.

Forma de punto:

(4,3)

Formulario de ecuación:

x = 4, y = 3

espero que esto ayude :)

Answer:

False

Step-by-step explanation:

This is false because there are 5 numbers from 0 - 4 (0, 1, 2, 3, 4) so the probability will be 1/5 not 1/4.

Answer:

I did as linear equation hope it helps

Answer:

The order doesn’t matter, as the two events are probabilistically independent of one another. There are 13 spades in a standard 52 card deck, so the probability of drawing  the number 5 is 13/52 or 1/4. The probability of heads is 1/2. The probability of both occurring is the product of the two probabilities, or 1/4*1/2 = 1/8 or 12.5%.

Answer:

the probability of getting 5 from standard deck is 4/52 and probability to get tails from a flipped coin is 1/2

Step-by-step explanation:

as there are 4 parts in card i.e spade diamonds hearts and clubs which has 13 cards each from each 13 cards there are one 5 card so there are 4 cards with 5 number in standard deck

there is only one tails in a coin

Answer:

5/12 or 15/36

Step-by-step explanation:

Since he rolls two dice, he has a total probability of 6 times 6 = 36. The pairs, that he could add up to primes are (1,1), (2,1) * 2 (since he can get 1,2 as well), (1,4) * 2, (2,3) * 2, (3,4) * 2, (5, 2) * 2, (6,1) * 2, (5, 6) * 2. This is 1 + 2 + 2 + 2 + 2 + 2 + 2 + 2, which is equal to 15. This is a total of 15/36 possible ways, which is also equal to 5/12.

Answer:

You’ll have to come up with $10,000 - 25,000.

Step-by-step explanation:

You'll need at least this much for your new house because if you think about it appliances are getting expensive. So, is furniture and it also depends on how big the house is. Then again, this is about how much my parents ( $46, 560 ) spent on our house and we still are looking for more furniture.

Answer:

$49,500

Step-by-step explanation:

Living Room Item Quantity  Individual Cost

Sofa  1 $5,000

Living Room Chair/Club Chair 2 $3,000

Coffee Table 1 $3,000

Side/End Tables 2 $2,000

Table Lamps 2 $1,000

Rug 1 $8,000

Floor Lamp 1 $1,500

Chandelier 1 $5,000

Pillows NA $1,500

Drapery NA $5,000

Console 1 $2,000

Mirror/Art NA $5,000

Accessories  NA $1,500

Total Cost   $49,500 (at minimum)

keep in mind that you have your own style and that it can depend on how much you want to spend, maybe you want to get more Accessories or better quality things so yes It will go up depending on what your taste is.

Answer:

x=2

Step-by-step explanation:

46x-2=45x

+2         +2

46x=45x+2

-45x     -45x

x=2

Answer:

I hope you can see the pic

Step-by-step explanation:

(46x - 2) and 45x are opposite angles. Opposite angles are equal to each other so, like terms will he collected and then x is gotten as +2.

Answer:

x-int: (-5, 0), (7, 0)

vertex: (1, -36)

Step-by-step explanation:

Easiest and fastest way is to simply graph the equation and find what it's asking.