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hoa [83]
3 years ago
9

The height of a triangle is six times the base write an expression for the area of the triangle and let x be the base

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0

Answer:

<h2>A = 3x²</h2>

Step-by-step explanation:

The formula fo an area of a triangle:

A=\dfrac{bh}{2}

b - base

h - height

We have

x - base

6x - height

Substitute:

A=\dfrac{(x)(6x)}{2}=\dfrac{6x^2}{2}=3x^2

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ASHA 777 [7]

Answer:

4 cm

Step-by-step explanation:

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2 years ago
Question is down below
kvasek [131]

Answer:

a ) 2 / n,

b ) 15

Step-by-step explanation:

This is a nice and short question we have here.

Given that a bag has n counters, and that one counter is blue, respectively the rest is red, if two counters are taken at random there isn't a definite percentage that one of the counters chosen is red or blue, but there is a fractional representation of this.

We could express n ( number of counters ) to form a probability of 2 / n. As you can see, two counters are taken at random over n counters, and thus we derived this fraction.

a ) 2 / n

____

Now we have this second part -

2 / n = 2 / 16,\\16 - 1 = 15

Therefore, there are 15 red counters. Hope that helps!

3 0
3 years ago
Write the slope intercept ​
mrs_skeptik [129]

Answer:

b = 4,

m = 4/3,

y = 4x/3 + 4

Step-by-step explanation:

We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:

y = mx+b

We can substitute the points we know:

→ (0,4):

y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}

→ (-3,0):

y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}

So, the line equation in form requested is:

\boxed{y=\dfrac{4}{3}x+4}

7 0
2 years ago
A manufacturing company has the following fixed monthly costs and unit variable costs: Rent = $2,200 Utilities = $375 Variable c
valentinak56 [21]

A manufacturing company has the following fixed monthly costs and unit variable costs:

Rent = $2,200

Utilities = $375

Variable costs for materials and assembly = $13.25/unit

Monthly labor = $750

Given is the product is sold at $24.99 per unit

Let the number of units sold be x

Adding total cost = 2200+375+750=3325

Equation becomes:

3325+13.25x=24.99x

11.74x=3325

x= 283.21

So, rounding it to nearest whole number we get, 283 units.

3 0
3 years ago
A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 5 seconds?
garri49 [273]

Answer:

90 m

Step-by-step explanation:

65 km = 65000m

1 hour = 3600 secs

speed in meters = 65000/3600

= 18 m / sec

Distance traveled in 5 secs = 18*5

= 90 m

5 0
3 years ago
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