A triangle has a base of 3⅖ inches and an area of 5⅒ square inches. Find the height of the triangle. Show your reasoning

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

Answer:

Im not sure i understand the question but, m is greater than 2?

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

m is greater that 2

m=m

>=Greater Than

2=2

Answer:

1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

Then for the point:

(√(7)/4 , 3/4)

x = √(7)/4

y = 3/4

√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1

Then replacing these values in the above equations for the cosine and sine functions, we get:

cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4

sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4

2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).

Let's look at the graph.

We can see that at x = 0, the graph intersects the x-axis and increases

The next point where this happens is at x = π/3

Then the period of this function is:

P = π/3 - 0 = π/3

The period is π/3

The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.

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

Explanation:

Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.

Here are all the ways to multiply to -99 using integers only:

Add up each factor pair to see which sum is equal to 2.

We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.

As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the  two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.

To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.

Answer:

2 x 7 = 5 x 3

Step-by-step explanation:

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Answer:

[tex]\implies f^{-1}(x) =-\dfrac{x}{4}-3 [/tex]

Step-by-step explanation:

Given :-

And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.

Function :-

[tex]\implies f(x) = -4x - 12 \\\\\implies y = -4x-12 [/tex]

Interchanging x and y :-

[tex]\implies x = -4y - 12 [/tex]

Solve out for y :-

[tex]\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3 [/tex]

Replace y with f-¹(x) :-

[tex]\implies f^{-1}(x) =-\dfrac{x}{4}-3 [/tex]

Hence the inverse of the function is -x/4-3 .

Answer:

25 %

Step-by-step explanation:

Answer:

4x² (3x - 1)

Step-by-step explanation:

12x³ - 4x²

4x² (3x - 1)

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

5/24

Step-by-step explanation:

5 white

3 black

1 red

total number of pairs of socks: 5 + 3 + 1 = 9

On Monday there are 9 pairs. 3 pairs are black.

On Tuesday, one pair of black socks is already taken, so there are now 8 pairs of socks. 5 of those are white.

p(black on Mon. & white on Tue.) = 3/9 * 5/8 = 1/3 * 5/8 = 5/24

Answer:

20

Step-by-step explanation:

2 x 10 = 20

divided by 4 = 5

The larger pool will hold is 100 times more gallons than the smaller pool

From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool

From the given information,

Capacity of the larger pool = 2 × 10¹⁰ gallons

Capacity of the smaller pool = 2 × 10⁸ gallons

To determine how many times more gallons the larger pool  holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool

That is,

[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]

= 10²

= 100

Hence, the larger pool will hold is 100 times more gallons than the smaller pool.

Learn more on Capacity here: https://brainly.com/question/7598008

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Answer:

C. 22, 27

Step-by-step explanation:

Its adding +5

Answer:

The correct Answer is the letter C.

Step-by-step explanation:

The sequence shows adding 5 to the first number and continue to the next answer.

2 + 5 = 7

7 + 5 = 12

12 + 5 = 17

the next two terms are 22 and 27

17 + 5 = 22

22 + 5 = 27

HOPE IT HELPS

(FROM CROSS)

Answer:

4

Step-by-step explanation:

g=4

that means

16/g= 16/4

16/4=4

Answer:

the correct answer is 5 snowmen

Answer:

B. 50 students in her school

Step-by-step explanation:

Every other answer is at a seperate place designed to help someone in a specific field, besides the school.

Trust me, you're not the only one who's bad at math.  '-'

Answer:

8/17

Step-by-step explanation:

first find hypotenuse which is 34

then to get sine it is opposite/hypotenuse

opposite ÷ hypotenuse

16/34

8/17

The SinL as a fraction in the simplest form is 8 / 17.

A triangle whose one is 90 degrees is considered a right-angled triangle. Pythagoras' theorem is applied only to the right-angled triangle.

Given:

The side NM = 16,

The side LM = 30,

By using Pythagoras' theorem, we can say that,

NL² = NM² + LM²

Substitute the values of NM and LM,

NL² = 16² + 30²

NL = 34,

For SinL = perpendicular side / hypotenuse side

SinL = NM / NL,

SinL = 16 / 34 or 8 / 17

Therefore, the SinL as a fraction in the simplest form is 8 / 17.

To know more about the right-angled triangle:

https://brainly.com/question/3770177

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Answer: the base area of the prism is 6 cm^2

Step-by-step explanation:

Khan Akademy

Answer:

A. 12

I think so.....

Answer:  

7.5

Step-by-step explanation:  

4*3.5 = 14  

4*-1.5 = -6  

14 + -6 = 8  

8-1/2 = 7.5

Question Is Incomplete

Answer:

x=0 and y=6

Step-by-step explanation:

First, you would solve x=y-6 for x.

x=y-6 so you substitute the x in -6x-2y=-12 with (y-6)

-6x-2y=-12 → -6(y-6)-2y=-12

Simplify both sides of the equation = -8y+36=-12

Add -36 to both sides to remove it = -8y+36+-36=-12+-36

-8y+36+-36=-12+-36 → -8y=-48

Divide both sides by -8 to remove it. [tex]\frac{-8y}{-8} =\frac{-48}{-8}[/tex] → y=6

I believe where you went wrong was with where you substituted y-6.

y-6 is the substitute for x so in parenthesis you would put (y-6) where x is in -6x-2y=-12 making the new equation -6(y-6)-2y=-12.

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

Answer:

F

Step-by-step explanation:

b = 3 5/8 × x < -- Times

x is a variable that uses for the representation of the number of pies

Example : 3 pies there

b = 3 5/8 × 3

therefore b = 5.625 pounds

Answer: 2600 cm^2

Step-by-step explanation:

FORMULA

Painting P area = Painting Q area +   1400

      so...

 40(3x-10)           =       30(x+15)        +   1400

 EXPAND                     EXPAND

 120x - 400          =       30x + 450     +   1400

                                                        SIMPLIFY

 120x-400            =        30x + 1850

         +400                             +400

 120x                    =         30x + 2250

 - 30x                             - 30x

   90x                   =                   2250      

DIVIDE BY 90              DIVIDE BY 90

     x                      =                   25

SO... Now we have to find the AREA of PAINTING P

LENGTH: (3x - 10)=  3(25) - 10 = 65cm

HEIGHT:  40cm

AREA OF PAINTING P = 65cm X 40cm = 2600cm^2

By solving a system of equations, we will see that the area of painting P is 2,600 cm^2

Remember that the area of a rectangle of length L and width W is:

A = L*W

Then the area of painting P is:

A = 40cm*(3x - 10)cm

The area of paint Q is:

A' = (30 cm)*(x + 15)cm

And que know that:

A = A' + 1400cm^2

Then we havea system of equations:

A = A' + 1400cm^2

A = 40cm*(3x - 10)cm

A' = (30 cm)*(x + 15)cm

First, we can replace the third equation into the first one to get:

A = (30 cm)*(x + 15)cm + 1400cm^2

And that must be equal to:

A = 40cm*(3x - 10)cm

So now we can solve:

40cm*(3x - 10)cm =  (30 cm)*(x + 15)cm + 1400cm^2

for x.

It gives:

120cm*x - 400cm^2 = 30cm*x + 1850 cm^2

120cm*x - 30cm*x = 1850cm^2 + 400cm2

x = (2250cm^2)/(90cm) = 25cm

Now that we know x, we can get the area of painting P.

A = 40cm*(3*25cm - 10cm) = 2,600cm^2

If you want to learn more about systems of equations, you can read:

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Answer:

88 sq cm

Step-by-step explanation:

A=(b1+b2) x H divided by 2