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Talja [164]
3 years ago
9

A triangle has an area of 36 square units. Its height is 9 units.

Mathematics
1 answer:
Schach [20]3 years ago
8 0
8.

Use the 1/2bh formula and plug in for the area and the height to find the base. 
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HElp fasttttttttttttttttttttttttt
Eduardwww [97]

9514 1404 393

Answer:

  -0.16

Step-by-step explanation:

The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.

Here, that is a negative fraction of a unit. If we assume the value is a rational number that can be accurately determined from this graph, then we can find it by looking for a point where the graph crosses a grid intersection. It looks like such grid points are (-7, 0) and (3, 0). The vertex is apparently (-2, 4), so the vertex form of the equation is ...

  y = a(x +2)^2 +4

Using the point (3, 0), we have ...

  0 = a(3 +2)^2 +4 . . . . . fill in the values of x and y

  -4 = 25a . . . . . . . . . . subtract 4; next, divide by 25

  a = -4/25 = -0.16

7 0
2 years ago
Sonny substituted 5 for x in the proportion 16/x=48/15 and cross multiplied to get 240=240. Why is this?
Mashutka [201]
Because 16/5 and 48/15 are equivalent fractions
7 0
3 years ago
Read 2 more answers
Can someone help me on 6?
fomenos

Answer:

66600 ft

Step-by-step explanation:

First draw a rectangle and draw a diagonal line in the middle. The line makes two triangles, and the line itself is the hypotenuse. So, to find hypotenuse, the formula is:

a^2 + b^2 = c^2

The variable c defines the hypotenuse. Therefore:

a = 150

b = 210

Let's solve:

150^2 + 210^2 = c^2

22500 + 44100 = c^2

66600 = c^2

Therefore, in conclusion, the result we are getting is 66600 ft.

<u><em>Hope This Helps!</em></u>

6 0
2 years ago
Read 2 more answers
A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
mestny [16]

Answer:

The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

G(x) =  F  +  (W_w- Ix)

Here I is the rate of water loss in lb/ft mathematically represented as

I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

=> I  = 0.1

So

G(x) =  5  +  (42- 0.1x)

=> G(x) =  47- 0.1x)

So

W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

=> W= 2640 \  ft \cdot lb

7 0
3 years ago
Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
lora16 [44]

Answer:

The equations are:

4H + 3P = 13.75

2H + 5P = 11.25

Hotdog = 2.50

Pretzel = 1.25

Step-by-step explanation:

Let:

H = hot\ dog

P =Pretzel

For Tina:

4H + 3P = 13.75

For Doug:

2H + 5P = 11.25

Solving for the price of both items:

We have:

4H + 3P = 13.75 --- (1)

2H + 5P = 11.25 --- (2)

Multiply (2) by 2

2 * (2H + 5P = 11.25)

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

4H + 10P = 22.50 --- (3)

Subtract (3) from (1)

4H + 3P = 13.75

4H + 10P = 22.50

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

4H - 4H + 3P - 10P = 13.75 - 22.50

3P - 10P = 13.75 - 22.50

-7P = -8.75

Solve for P

P = \frac{-8.75}{-7}

P = 1.25

Substitute 1.25 for P in (2)

2H + 5P = 11.25

2H + 5 * 1.25 = 11.25

2H + 6.25 = 11.25

Collect Like Terms

2H = 11.25-6.25

2H = 5

Solve for H

H = \frac{5}{2}

H = 2.50

3 0
2 years ago
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