What is the length of the unknown leg in the right triangle?
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Answer:

y − y1 = m(x − x1)

m  = (y2-y1) / (x2-x1) = (5 - 6) / (1 - (-1)) = -1 /2

y - 6 = -1/2 (x - (-1))

y - 6 = -1/2 (x + 1)

y - 6 = -1/2x - 1/2

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

The secant is the distance from the center to the vertical tangent in a certain direction.

Answer:

A. secant

Step-by-step explanation:

For trigonometric ratios, we know that cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]. The reciprocal of something is just flipped over. So the reciprocal of cosine is [tex]\frac{hypotenuse}{adjacent}[/tex], which is the ratio for secant.

Another way we can remember this is       [tex]sec x = \frac{1}{cos x} \\\\cos x = \frac{1}{sec x}[/tex]

Answer:

4, know that in a slope-intercept form the coefficient of x is the slope.

Step-by-step explanation:

Answer:

Slope is 4

Step-by-step explanation:

Answer:

y = 478x + 1,854

Step-by-step explanation:

Answer:

about $45.71

Step-by-step explanation

32/70%

32 x 100/70

32 x 10/7

320/7

$45.71

The original price would be $41.6.

Answer:

20 cents per unit

Step-by-step explanation:

Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents

Answer:

the unit price is $0.20 for 1 pencil

Step-by-step explanation:

if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil

write it as a ration of cost to pencil

the ratio is 1/5

now divided 5 on the top and the bottom to get the unit price

1 divided by 5= 0.2

so now the ratio is 0.2/1

Answer:

P

Step-by-step explanation:

C and P are both (10,3).

Presumably C(10,3) refers to the combinations of 10 things taken three at a time, often written

[tex]\displaystyle {10 \choose 3}[/tex]

When we choose three of 10, we're actually also choosing seven of 10, the leftovers.  So there are the same number of combinations of three as combinations of seven.   In general

[tex]\displaystyle {n \choose k}={n \choose n-k}[/tex]

Answer: C(10,7)

Answer:

Step-by-step explanation:

Monday x 2 = Tuesday

Tuesday - 6 = Wednesday

Lets say

Monday = m

Tuesday = t

Wednesday = w

m = m

2m = t

2m - 6 = w

Combine like terms: 5m - 6 = 19

Add 6 to both sides

5m = 25

Divide both sides by 5

m = 5

Plug it in the equations.

Monday = 5

Tuesday =  10

Wednesday = 4

Answer:

5x - 6 = 19

Step-by-step explanation:

Answer:

n+1

Step-by-step explanation:

h(n) = 4n + 5

g(n) = 3n +4

(h - g)(n) = 4n + 5  - (3n +4 )

distribute the minus sign

              = 4n +5 - 3n -4

Combine like terms

              = 4n -3n  +5-4

               = n +1

Answer:

The sum of 10 terms is  S₁₀  =  -1023

Step-by-step explanation:

Explanation:-

Given series

3 + (-6) + 12 + (-24) + ⋯

This is geometric sequence  3 , -6 ,12 , -24 ,....

a = 3 and common ratio  [tex]r = \frac{-6}{3} = -2[/tex]  

Given ratio r = -2 < 1

Sum of 'n' terms of a G.P

[tex]S_{n} = \frac{a(1-r^{n} ) }{1-r} if r <1[/tex]

Sum of '10' terms of a G.P

[tex]S_{10} = \frac{3((1-(-2 )^{10} }{1-(-2)}[/tex]

[tex]S_{10} = \frac{3((1-(-2 )^{10} }{3} = 1-2^{10} = 1- 1024 = - 1023[/tex]

Conclusion:-

Sum of '10' terms of a G.P = - 1023

Verification:-

The series of first 10 terms

3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536) =  -1023

Answer:

A rotation is a transformation that turns a figure about a fixed point called the center of rotation. • An object and its rotation are the same shape and size, but the figures may be turned in different directions. • Rotations may be clockwise or counterclockwise.

Step-by-step explanation:

Answer:it means the movitem of a figure to somewhere else

Step-by-step explanation:

Answer:

A=1/2(b×h)

divide a half by 12=6

6×4,since 4 is the height=24

Answer:

30 um²

Step-by-step explanation:

BC = √5² - 4²

= √25 - 16

= √9

= 3 um

AC = 12 + 3 = 15 um

A = AC×BD/2

= 15×4/2

= 15×2

= 30 um²

Answer:

21.92 inches

Step-by-step explanation:

628.86 inches of fabric on headband for 45 players and 2 coaches

Total persons=45 players +2 coaches=47

Each person uses 628.86/47 inches of fabrics

=13.38 inches per person

384.30 inches for wristband for players only

Each player uses 384.30/45 inches of fabrics

=8.54 inches per person

Karina uses 13.38 inches of fabric for headband and 8.54 inches of wristband for each player

13.38+8.54

=21.92 inches of fabric for each player

Answer:

81 inches^3

Step-by-step explanation:

The empty space at the top is

3 inches wide by 9 inches long by (12-9) inches tall

3*9*3 = 81 inches^3

Answer:

We need the segments but which ever one has the segment that is 2/3 times the length of segments xy

Step-by-step explanation:

Answer: line c

Step-by-step explanation: I got it correct

Answer:

B

Step-by-step explanation:

The y- intercept is the point on the y- axis where the line crosses it

This point is y = 2

with coordinates (0, 2 ) → B

The line is  crossing the y axis at (0,2)

The x - intercept is where a line crosses the axis and the y intercept is the point where  the line crosses the y - axis .

observing the graph it can be concluded that ,

The line is  crossing the y axis where x = 0 and y = 2 , so the point is (0,2)

correct answer is c) (0,2)

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Answer:

x=30

Step-by-step explanation:

Sin 60 = ((√3)/2), so x=90-60. x=30.

The required value of x for function sin(90°– x)= - √3/2 is x =150°.

A function is given as sin(90°– x)= - √3/2, Value of x for the function is to be determined.

The equation contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

sin(90°– x)= - √3/2
sin(90°– x) = -sin60
90°-x = sin(-60°)
90°-x = -60°
-x = -60°-90°
x = 150°

Thus, the required value of x for function sin(90°– x)= - √3/2 is x =150°.

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Answer: True

Step-by-step explanation:

YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS

PROOF:

TOTAL RIDE TIME = 30 SECONDS

Length of elevator = 12 METRES

Distance moved per second can be calculated by = (length of elevator / total ride time)

( 12 METRES / 30 seconds) = 0.4 metres per second

Therefore, distance covered in 5 seconds :

0.4 × 5 = 2 metres.

Hence, the proof

He traveled 2 meters ever 5 seconds

Answer & Step-by-step explanation:

On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.

[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]

So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]

Good evening

Answer:

Step-by-step explanation:

Suppose M(x , y) is a point of the circle of center (6,3) and radius 10 and M is also a point of the y-axis then the coordonates of M should verify these two equations at the same time:

[tex]\left \{ {(x-6)^{2} +(y-3)^2=10^{2} } \atop {x=0}} \right.[/tex]

Then

(0-6)² + (y-3)² = 100

then

36 + (y-3)² = 100

then

(y-3)² = 100 - 36

        = 64

then

|y-3| = 8

then

y - 3 = 8 or y - 3 = -8

then

y = 11   or  y = 5

then the only points that are on the edge of the circle and on y-axis are:

(0 , 5) and (0 , 11).

:)

Answer:

(0, –5)

Step-by-step explanation:

If you don't see this option there is another option, (0 , 11) is also correct

Answer:

12/20

or

3/5

or

0.6

Step-by-step explanation:

The probability that a student chosen randomly from the class plays basketball or baseball is 3/5.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total student = 20

let the number who play both = x

So, Number of those who play basketball = 8- x

and, Number of those who play baseball = 8- x

Number of those who played neither = 8

So, 8-x + 7- x + x + 8 = 20

x = 3

Then, Basketball player = 8-3 =5

and, baseball player = 7-3 = 4

Thus, the probability that a student chosen randomly from the class plays basketball or baseball

= (5+ 4 + 3)/ 20

= 12/20

= 3/5

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Answer:

3/26 students or 11%

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

24/27 = 8/9

Answer:

The potato is a root vegetable native to the Americas, a starchy tuber of the plant Solanum tuberosum, and the plant itself, a perennial in the family Solanaceae. Wild potato species, originating in modern day Peru, can be found throughout the Americas, from the United States to southern Chile.

Step-by-step explanation:

Answer:

160 ounces

Step-by-step explanation:

Answer:

60 sandwiches

Step-by-step explanation:

In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:

3*5*4 = 60

That means there are a total of 60 ways to make different sandwiches

Answer:

Step-by-step explanation:

Answer:

4 2/3

Step-by-step explanation:

For the quadrupled recipe, you will need 6 2/3 cups of milk.

Here, we have,

To quadruple the macaroni and cheese recipe,

we need to multiply the original recipe measurements by 4.

The original recipe calls for 1 2/3 cups of milk.

To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:

1 2/3 * 4

= (5/3) * 4

= 20/3

= 6 2/3

Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.

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Answer:

Hamburgers and pizza are preferred almost equally.

Step-by-step explanation:

Both numbers are very close to each other

Answer: The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.

Answer:

it might be

69

10-20

Answer:

La altura de Juan por lo tanto es de 1.6 metros de altura

Step-by-step explanation:

Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:

Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.

Supongamos que x es la altura de juan que tenemos que calcular.

La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:

x= (1.8 metros/2.25 metros)*2

x=1.6 metros

La altura de Juan por lo tanto es de 1.6 metros de altura