The formula for the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the height of the triangle. The area of the triangular sail of a sailboat is 126ft^2. The base is 12 ft. Find the height of the sail.

(Show steps please)

Answer:

Step-by-step explanation:

expand and simplify (x+3)²

(x+3)² =

x² + 9 + 2 × x × 3 =

x² + 9 + 6x

Answer:

x² + 6x + 9

Step-by-step explanation:

( x + 3 ) ²

( x + 3 ) ( x + 3 )

x ( x + 3 ) + 3 ( x + 3 )

x² + 3x + 3x + 9

x² + 6x + 9

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

ln|sec(x) + tan(x)| + c

Step-by-step explanation:

∫sec(x) dx

secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))

let u = sinx

we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)

as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)

so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c

Answer: D 10

Step-by-step explanation:

Answer:

4900

Step-by-step explanation:

multiply all those numbers together

2x2x5x5x7x7 = 4900

Answer:

c x 6 = x

Product judy basically means multiplication.

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

x  =  − 2

Step-by-step explanation:

Answer:

y=4x-6

5x=4x-6 {putting y =5x}

5x-4x=-6

x=-6

Answer:

5

Step-by-step explanation:

Change in Y / Change in X = Slope

5/1 = 5

Answer:

hundredths place

Step-by-step explanation:

B, (0,0)(3,2)

C, (1,5)(4,7)

D, (-2,-2)(4,2)

All of these ordered pairs have a slope of 2/3, by way of the slope formula.

The slope of option B, C and D are equal to 2/3.

The given slope is 2/3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

A) Using (0, 0) and (2, 3) we get slope as

Now, slope = (3-0)/(0-2)

=3/2

B) Using (0, 0) and (3, 2) we get slope as

Slope = (2-0)/(0-3)

= 2/3

C) Using (1, 5) and (4, 7) we get slope as

Slope = (7-5)/(4-1)

= 2/3

D) Using (-2, -2) and (4, 2) we get slope as

Slope =(2-(2))/(4-(-2))

= 4/6

= 2/3

E) Using (20, 30) and (-20, -30) we get slope as

Slope =(-30-30)/(-20-20)

= -60/(-40)

= 3/2

Therefore, the slope of option B, C and D are equal to 2/3.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Answer: Choice C.  [tex]P \wedge \sim Q[/tex]

Explanation:

Anywhere you see "it's sunny", replace it with "P".

We'll replace the "and" with the symbol [tex]\wedge[/tex] which is used for conjunctions.

The squiggly [tex]\sim[/tex] refers to "not" and it negates or flips whatever statement Q is. Q stands for "it's snowing" so [tex]\sim Q[/tex] is the complete opposite of "it's not snowing".

We don't use statement R at all.

Answer:

Step-by-step explanation:

COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))

Answer:

Follow the order of operations and then solve from there

x^2 is simplifed to its max

6^2 is 36

10^2 is 100

x^2+36=100

Follow it normally

x^2=64

√64 = 8

x=8

**edited, sorry for the incorrect answer**

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

First lets write our equation

[tex]x^2+6^2=10^2[/tex]

We will use PEMDAS, or also known as BOMDAS

[tex]x^2+36=100[/tex]

Subtract 36 from both sides

[tex]x^2=64[/tex]

Find the square root of 64

[tex]\sqrt{64} =8[/tex]

[tex]x=8[/tex]

Brainliest please :)

Answer:

Mike's sisters age is 5 years old

Step-by-step explanation:

Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old

Answer:

you take your small number and multiply it by the big number

Step-by-step explanation:

Answer:

25.5 divided by 100 =255.Then 255-50+60 =255-110=145 therefore x=145

you are welcome

regards

reedemk

Answer:

one is addition the other is multiplication, though, both the sum and product equal the same solution

Step-by-step explanation:

hope it helps

Answer:

The answer is 0

Step-by-step explanation:

1+0=1

1x1=1

1-1=0

Answer:

The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )

Answer:

$26.50

Step-by-step explanation:

7.95/3=2.65

2.65*10=26.5

Answer:

$26.50

Step-by-step explanation:

If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.

1 cookie is 7.95/3 = 2.65.

Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.

10 cookies will cost $26.50.

Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;

Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:

{1000, 1001, 1002, 1003, 1004,......, 2000}

So that:

i. 1000 converted to base 5, we have:

5  1000

5   200  r 0

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13000_{5}[/tex]

ii. 1001 converted to base 5, we have:

5  1001

5   200  r 1

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13001_{5}[/tex]

iii. 1002 converted to base 5, we have:

5  1002

5   200  r 2

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13002_{5}[/tex]

So then, the set in base 5 is:

{13000, 13001, 13002, 13003, 13004,......, 31000}

To determine the number whose digits have the least sum;

a. 13000 = 1 + 3 + 0 + 0 + 0 = 4

b. 13001 = 1 + 3 + 0 + 0 + 1 = 5

c. 13002  = 1 + 3 + 0 + 0 + 2 = 6

d. 13003 = 1 + 3 + 0 + 0 + 3 = 7

e. 13004 = 1 + 3 + 0 + 0 + 4 = 8

.        .        .      .    .       .           .

.        .        .      .    .       .           .

z. 31000 = 3 + 1 + 0 + 0 + 0 = 4

Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:

[tex]\frac{1000+1500+2000}{3}[/tex]  = 1500

Visit: https://brainly.com/question/25112081

Answer:

I think its 1500

Step-by-step explanation:

1500

Answer:

-311

Step-by-step explanation:

−425 = x − 114

=> x = -425 + 114

=> x = -311

Therefore, -311 is our answer.

Hoped this helped.

Answer:

The equation that represents the above statement is 17+x = 23

The value of x in the equation is 6

Step-by-step explanation:

17+x = 23

x = 23 - 17

x = 6

[tex]8 \times 835 = 6680[/tex]

Answer:

the answer will be 6680

Answer:

b. y=1/2x-2

Step-by-step explanation:

We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2