what is the area of the figure

Answer:

Step-by-step explanation:

The formula for the area of a triangle gives a relationship between area, height, and base length. The problem statement gives the area, and it gives another relation between height and base length. Using these two relations, you can solve for the dimensions of the triangle.

__

The side to which the altitude is measured is called the "base" in the area formula. The altitude is called the "height." The relation between them given by the area formula is ...

  A = 1/2bh

  51 = 1/2bh . . . . . . using the given value for area

The other relation given by the problem statement is that the base is 1 less than 3 times the height:

  b = 3h -1 . . . . . . . base is 1 less than 3 times altitude

__

Using this second equation to substitute for 'b' in the first equation, we have ...

  51 = 1/2(3h -1)h

  102 = 3h² -h . . . . multiply by 2, eliminate parentheses

  3h² -h -102 = 0 . . . . . put in standard form

  3h² -18h +17h -102 = 0 . . . . . prepare to factor

  3h(h -6) +17(h -6) = 0 . . . . . factor pairs of terms

  (3h +17)(h -6) = 0 . . . . . . . . finish factoring

Solutions are the values of h that make these factors zero:

  3h +17 = 0   ⇒   h = -17/3

  h -6 = 0   ⇒   h = 6

We know that dimensions in a geometry problem must be positive, so the solution here is h = 6. Then b = 3h -1 = 3(6) -1 = 17. The dimensions are all in inches.

The length of the side is 17 inches; the altitude to that side is 6 inches.

Answer:

hi. this is the way

Step-by-step explanation:

this is the process of doing it. hope you like it

Answer:

hey can you help me to do homework

Answer:

1/4

Step-by-step explanation:

Using points (0 ; 1) and (4 ; 2)

m= y2-y1 / x2-x1

= 2-1 /4-0

= 1/4

The gradient of the blue line is, 1/4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the blue line are (3, -3) and (3, -6).

Now,

Since, The equation of line passes through the points (4, 2) and (8, 3).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - 2) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The gradient of the blue line is, 1/4

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Answer:

2/5

Step-by-step explanation:

markup / cost       =    10 /25 = 2/5

Answer:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Volume of a cube can be represented as :} [/tex]

[tex] \textsf{And the side length is given as a} [/tex]

[tex] \textsf{So, volume of the given cube is :} [/tex]

Answer: hii

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Hopefully this helps you

- Matthew

Answer:

Step-by-step explanation:

Answer:

area is 254.34 circumference is 56.52

Step-by-step explanation:

To find the area you need to follow the formula r^2(pi)

so it would be 9x9x3.14 which is 254.34

to find circumference you need to find diameter which is double the radius (9x2) so the diameter is 18

To find circumference to need to do radius x pi

18x3.14 is 56.52

Answer:

2 or 3 im not sure but choes 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1:30

Let's solve this problem step-by-step:

      1. Let's put this in a fraction format:  

             6834 ÷ 17 = [tex]\frac{6834}{17}[/tex]

      2. Now we know 6834 = 6800 + 34

            ⇒ so:

                   [tex]\frac{6834}{17} =\frac{6800+34}{17} =\frac{6800}{17} +\frac{34}{17}[/tex]

     3. Now let's convert the fractions to denominators

              [tex]\frac{6800}{17} +\frac{34}{17} =[/tex] (6800 ÷ 17) + (34 ÷ 17)    

Let's check:

Answer:  (6800 ÷ 17) + (34 ÷ 17) or Choice (C)

Answer:

15 miles far from your house.

Step-by-step explanation:

By using Pythagorean Theorem

H² = P² + B²

=> 12² + 9² = H²

=> 144 + 81 = H²

=> 225 = H²

=> √225 = H

=> 15 = H

Answer:

C

Step-by-step explanation:

It should be .7. Count each mark as .1 and this should be clear.

Answer:

Step-by-step explanation:

f(x)= -(-2)^2 + 3 = -4 + 3 = -1

Answer:

The difference will be 0.65 °C above room temperature after 13 minutes.

The difference in temperature in 13 minutes will be 6.65° C.

The expression is defined as the relations of the numbers and the variables combined together to form the equation by the use of mathematical algebraic symbols like equal greater than or less than.

Given that a cup of hot water is placed on the counter to cool. The temperature of the water is currently 19°C above room temperature. If the temperature difference falls by 5% every minute.

The heat difference will be calculated as:-

Total decrease = 13 x 5 = 65%

[tex]H = 19\times\dfrac{100-65}{100}[/tex]

[tex]H = 19\times \dfrac{35}{100}[/tex]

H = 19 x 0.35

H = 6.65°

Therefore, the temperature will be 6.65°.

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Answer: 5x 5y

Step-by-step explanation: because of the length

53

hope it helps...!!!!

Answer:

[tex](x,y,z)=(1477, 1464, 1437)[/tex]

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

So, the equation would be

[tex]3x + 5y - 4z = 6000[/tex]

hence,

[tex]2x - 3y + z = 0[/tex]

therefore,

[tex] - x + 4y + 6z = 13000[/tex]

Thus our system of equations is

[tex]\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}[/tex]

Solving the system of equations:

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

[tex]\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}[/tex]

Now solve the equation accordingly:

[tex]\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}[/tex]

Solving the equation for x and y yields:

[tex]\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}[/tex]

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

[tex]\implies z= \dfrac{217000}{151} [/tex]

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

Step-by-step explanation:

Nine sided polygon has an angle of 360/9=40 degrees at one vertex.

So the angles opposite the radius=(180–40)/2==140/2=70degrees.

solving for Base(side): 1/2s=5.cos70= 3.42 units Ans

P=9(5+3.42)=75.78 units Ans.

I search it. ‍♀️

Answer:

A rectangluar pyramid of height 8 mi measuring 8 mi and 10 mi along the base. 213.33 mi³ 3) A cone with diameter 18 mi and a height of 18 mi. 1526.81 mi³ 4) A sphere with a diameter of 16 cm. 2144.66 cm³ 5) A pyramid 11 yd tall with a right triangle for a base with side lengths 6 yd, 8 yd, and 10 yd. 88 yd³

Step-by-step explanation:

hope this helps if not let me know

Answer:

the square root of 120

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=13^2

a^2+49=169

a^2=120

a= the square root of 120

Answer:

125 ft/hr

Step-by-step explanation:

dx/dt = (800-300)/(6-2) = 500/4 = 125

Answer:

-x + 2

Step-by-step explanation:

collect the like terms of x and 2x . So subtract 1-2 = -1

so 1x - 2x = -1x or -x . Then just subtract 5-3 and you have your answer

Answer:

y-1=2(x+4) or y=2x+9

Step-by-step explanation:

y - 3 = 2(x + 7)

y=mx+b

m=2

(x1,y1) -> (-4, 1)

(y−y1)=m(x−x1)

plug in

y-1=2(x+4)

y-1=2x+8

y=2x+9

test:

(1)=2(-4)+9

1=-8+9

1=1

Answer:

55%.

Step-by-step explanation:

1) the final percentage can be calculated if $124 is x% and 80 is 100%. Then

2)   [tex]\frac{80}{100} =\frac{124}{x}; \ = > \ x=\frac{124*5}{4}=155 \%[/tex]

3) the required increase is:

155-100=55%