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Maksim231197 [3]
3 years ago
5

The side of a triangle have length x, x+4, and 20. If the length of the longest side is 20, which value of x would make the tria

ngle acute?
Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

12∠x∠16

Step-by-step explanation:

For the triangle to be acute,a²+b²+c²,

Where c is the largest side of the triangle.  

Hence, we must say x²+(x+4)²≥20²,  

or after simplifying, x²+4x-192≥0 or (x+16)(x-12)≥0

Since x must have positive values only, x≥12

Therefore, for the triangle to be acute,we must have 12≤x≤16.  

You might be interested in
En una casa de empanadas hornean 1.200 por día. Si las cocinan en fuentes de 75 unidades, colocando siempre la mayor cantidad po
valkas [14]

Answer:

16 unidades preparan simultáneamente 1200 empanadas por día.

Step-by-step explanation:

Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:

x = \frac{1200\,emp}{75\,\frac{emp}{und} }

x = 16\,unidades

16 unidades preparan simultáneamente 1200 empanadas por día.

3 0
3 years ago
Please help i will give 10 points
lapo4ka [179]

Answer:

21 feet²

Step-by-step explanation:

To find the area of a composite figure, we can break the shape into pieces and solve for the area separately.

There are multiple ways to separate the figure, but for this explanation we will break it into two rectangles, 5×3 and 3×2.

The area of a rectangle can be found by multiplying the length and width of the shape. So for the left rectangle, we will multiply 5 by 3.

5 · 3 = 15

The area of our first rectangle is 15 ft².

Next, we will find the area of the right rectangle, by multiplying 3 by 2.

3 · 2 = 6

The area of the second rectangle is 6 ft².

Now we can add the areas, 15 and 6, together to find the total area.

15 + 6  = 21

The area of the figure is 21 ft².

I hope this helps ^^ Good luck ∩_∩

3 0
2 years ago
Read 2 more answers
HELP ASAP. Teacher didnt teach us this.
mina [271]

Answer:

A = 624

B = 14.76 or 14.8 or 15inches

Standard form in polynomial for Area = 26 x 24 = .624in^2.....

2(5 + 8) x 2( 5 + 7)

26 x 24 = 624 in^2

This is because the rectangle width indifference is 1/10th of the length measuring 2inches more, then we see both sides of the frame are equal to 2inches and match this measure for x = 2inches both width and length. We add 4 to each side 22 x 20 + 4x^2 we separate 4x^2 into 4x both sides, this has become 26 x 24 = 624in^2

as 4 was added each side.

Question 2.  

We find the width is shown left to right in rectangles, they are the sides.

So Area 4 x 24 = 96in^2

or 6.5 of the 24 = 24/6.5 = 3.69 inches

26 /6.5 = scale of 6.5: 26 = 4 inches

Therefore Area = 3.69 x 4 = 14.76

if it was square frame it would be 16inches

Go for 14.76in^2 as ithe question says 4 inches and it becomes, a replaced width only and it must be still to scale as shown above with 24/6.5 = 3.69  so 3,69 x 4 = 14.76. Last resort would be that the length as kept at 24 x 4 = 96 and in this response it does exactly what the question asks the width changes only.

5 0
3 years ago
Garret has a bag that contains cubic 2 7/16 feet of mulch. If he uses 8/9 of the bag in his garden how much mulch is left in the
Dimas [21]

Answer:

0.27 cubic feet of mulch is remaining

Step-by-step explanation:

Quantity in the bag = 2 7/16 cubic feet of mulch

Quantity used = 8/9 of the bag in his garden

Mulch used = 8/9 of 2 7/16

= 8/9 × 39/16

= 1/9 × 39/2

= 39/18

= 2 3/8 used

Total mulch left = Total mulch in the bag - mulch used

= 2 7/16 - 2 3/8

= 39/16 - 39/18

= 702-624/288

= 78/288

= 0.27 cubic feet of mulch is remaining

3 0
2 years ago
TEST TOMORROW 33. Mid Town Sports Apparel has found that it needs to sell golf hats at $2.75 each to be competitive. It costs $2
Mars2501 [29]

a. The total cost is the sum of variable and fixed cost. So the average cost of each hat is simply total cost divided by x:

ave cost = (2.12 x + 3000) / x

 

b. Total cost should be equal to Income:

2.12 x + 3000 = 2.75 x

Solve for x:

x = 4762 units

 

c. Profit is income minus total cost:

Profit = 2.75 x – (2.12 x + 3000)

1000 = 2.75x – 2.12 x – 3000

Solving for x:

<span>x = 6439 hats</span>

4 0
2 years ago
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