The function a(h) below relates the area of a triangle with a given base 7 and the height of the triangle. It takes as input the height of the triangle and returns as output the of the triangle. an) - 7 Write the equation that represents inverse function, h(a), which takes triangles area as input and returns height of the triangle.​

Answer:

c I guess tell me if I am wrong yall

Step-by-step explanation:

We have AB = 7, Angle ABC = 70°

and Angle ACB = 90°.

Angle BAC = 180° - 70° - 90° = 20°

(Sum of angles in a triangle = 180°)

Using Trignometry,

AC = 7sin70° = 6.58.

BC = 7cos70° = 2.39.

Answer:

Area of sector = 117.6 cm²

Step-by-step explanation:

Radius of sector r = 10 cm

Angle Ф = 135°

We need to find Area of sector

The formula used is: [tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]

Where Ф is the angle, and r is the radius.

Putting values and finding area of sector

[tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}\\Area\:of\:Sector=\frac{135}{360}\times 3.14 (10)^2\\Area\:of\:Sector=0.375 \times 3.14 \times 100\\Area\:of\:Sector=117.75[/tex]

Now, rounding off answer to 1 decimal place:

[tex]Area\:of\:Sector=117.6\: cm^2[/tex]

So, Area of sector = 117.6 cm²

Answer: y = -1/3x - 1

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

TRUE and FALSE  (please look at step-by-step)

Step-by-step explanation:

How to know if it's true or false, you just simply plug in the given numbers to the x and y values.

x = -3

y = 11

for the x - 3y = -36 equation:

-3 -3(11) = -36

-3 - 33 = -36

This equation is true.

for the 3x + 4y = 48 equation:

3(-3) + 4(11) = 48

-9 + 44 = 35

This equation is false.

Answer:

As Mixed Fraction

= $ (4 171717/1000000)

As a fraction

= $(4171717/1000000)

Step-by-step explanation:

A manufacturer determines that the cost of making a computer component is $4.171717. Write the repeating decimal cost as a fraction and as a mixed number

As a mixed fractions

= $4.171717 = $4 + 171717/1000000

= 4 171717/1000000

As. Fraction

= 4171717/1000000

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Quotient means the answer of a division problem.

The only answer choice that shows division is option D.

Answer:

√13 - √11

Step-by-step explanation:

You have to simply the radical expression

Answer:

In 3 min = 4 1/2

10 min = 15

If you multiply both of the snakes speed by the specific amount of minutes and then subtract both of the sums you'll get the answer :)

Answer:

y =-2/3x

x = 1

Step-by-step explanation:

adding both equations and then we find the value of y which is given below

y = -2/3x

and then putting the value of y in any above equation then we find the value of X which is given below

X = 1

Answer:

Graph of the new function will be vertically stretched by 2 units.

Step-by-step explanation:

A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]

This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4

If this function is stretched vertically by 'k' the the equation of the new function will be,

y = [tex]a(\frac{1}{3})x+ 4[/tex]

y = [tex]\frac{a}{3}x+4[/tex] ---------(1)

If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],

New equation of the function will be,

y = [tex]\frac{2}{3}x+4[/tex] ---------(2)

Comparing equations (1) and (2),

a = 2

Therefore, graph of the new function will be stretched vertically by 2 units.

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

704.1 -   98.35=605.75

Answer:

3(2+5)−5(3)+8=14

Step-by-step explanation:

Write the problem as a mathematical expression.

=>3(2+5)−5⋅3+8

Simplify each term.

=>21−15+8 = 14

Answer:

13 Weeks

Step-by-step explanation:

Yoko currently has $60 so if she gains $5 each week simply 5x13=65

$60+$65=$125

Answer:

They are both congruent triangles because they both have the same height, base length, and the same angle.

Step-by-step explanation:

Answer:

y = 2/3x -1

Step-by-step explanation:

y intersect is -1 as that's where the line passes the y axis

the slope can be found by finding two points and using the slope formula (y-y)/(x-x)

Answer:

(5y+11)²

Step-by-step explanation:

The given expression is :

25y²+110y+121

We need to factors of the given expression.

We know that, (11)² = 121

5² = 25

We can write the given expression as :

25y²+110y+121 = (5y)² + 2(5y)(11) +11²

Using identity : (a+b)² = a²+2ab+b²

25y²+110y+121 = (5y+11)²

Hence, the factors of 25y²+110y+121 is (5y+11)².

Answer:

Step-by-step explanation:

if you need to find g,

add 5 on both sides

g=-2+5

g=3

Answer:

The point is not a solution for both inequalities, so the point is not a solution for the system of inequalities.

Step-by-step explanation:

Answer:

the slope is 5

explanation:

goes up 5 and right 1

Answer:

Answer D

Step-by-step explanation: I started from T, go from T to T'. Look at T, count 7 units to the right and that will be 7 positive. Then count 3 units down, which is -3. The translation would be (7,-3) or "D".

Answer:  B) neither

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

Let's isolate y in the first equation. This way we can find the slope.

x-2y = 4

-2y = 4-x

-2y = -x+4

y = (-x+4)/(-2)

y = -x/(-2) + 4/(-2)

y = (1/2)x - 2

This matches with y = mx+b form with m = 1/2 being the slope.

The slope of y = 2x-2 is m = 2

------------------------------

The slope of the first line is 1/2 and the slope of the second line is 2.

Since the two slopes (1/2 and 2) are not equal, this means the lines are not parallel.

Also, the two slopes do not multiply to -1, so the lines aren't perpendicular either.

This leads to B) neither as the final answer.

Answer:

On time: 0.67

Late: 0.33

Step-by-step explanation:

Probabilities

One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).

The probability can be estimated with the formula:

[tex]\displaystyle P=\frac{e}{n}[/tex]

And the probability that the event doesn't occur is

Q = 1 - P

Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:

[tex]\displaystyle P=\frac{53}{79}[/tex]

P = 0.67

And the probability he arrives late is:

Q = 1 - 0.67 = 0.33

Step-by-step explanation:

(2x+13)°=3y°

(5y-4)-180=3y

5y-184=3y

5y-3y=184

2y=184

y=92

2x+13=3*92

2x=263

x=131.5