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USPshnik [31]
2 years ago
8

All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal

ed in size without changing any of the angles. What is the new height of the triangle when the area is 0.7 of the original triangle's area
Mathematics
1 answer:
zlopas [31]2 years ago
6 0

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62

Finally the height of this new triangle is 3.62 cm

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Determine if each situation represents a proportional relationship. Explain your reason 1. A brownie recipe calls for 3 parts co
Nataliya [291]

Answer:

Lizzy's recipe is not a proportional relationship with the brownie recipe because of the difference in ratio.

Step-by-step explanation:

Brownie recipe:

Cocoa powder = 3 parts

Flour = 2 parts

Ratio of cocoa powder to flour = 3 : 2

Lizzy's recipe:

Cocoa powder = 1 cup

Flour = 1 cup

Ratio of cocoa powder to flour = 1 : 1

8 0
1 year ago
Y=0.5x how do you work it
photoshop1234 [79]
Plug any number in for x and find the resulting y, then if you need to graph place the coordinate points on the plane. For example if you set x=2 the equation becomes y=0.5(2). From here we can see 0.5(2)=1 and this is equal to 1 so in a data chart you would write under x the number 1 and under y the number 2. 
6 0
3 years ago
Two customers went to a post office to buy postcards and large envelopes. Each postcard
astraxan [27]

The right answer is Option A.

Step-by-step explanation:

Let,

x be the postcards

y be the large envelops

According to given statement;

14x+5y=12   Eqn 1

10x+15y=24.80   Eqn 2

Multiplying Eqn 1 by 3;

3(14x+5y=12)\\42x+15y=36\ \ \ Eqn \ 3

Subtracting Eqn 2 from Eqn 3;

(42x+15y)-(10x+15y)=36-24.80\\42x+15y-10x-15y=11.20\\32x=11.20\\

Dividing both sides by 32

\frac{32x}{32}=\frac{11.20}{32}\\x=0.35

Putting x=0.35 in Eqn 1;

14(0.35)+5y=12\\4.90+5y=12\\5y=12-4.90\\5y=7.10

Dividing both sides by 5

\frac{5y}{5}=\frac{7.10}{5}\\y=1.42

Therefore, one large envelope costs $1.42

The right answer is Option A.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/9738996
  • brainly.com/question/10015690

#LearnwithBrainly

4 0
3 years ago
A survey of 2,000 doctors showed that an average of 3 out of 5 doctors use brand X aspirin. How many doctors use brand X aspirin
swat32
You would use cross multiplication:

X/2,000 = 3/5
Multiply: 2,000*3= 6,000
Divide: 6,000/5
Answer: 1,200 doctors use brand x
8 0
3 years ago
The slope of the line in the graph is
gizmo_the_mogwai [7]

Answer:

the slope of the line in the graph is: 3

the y-intercept is: -4

the equation of the line is: y=3x-4

Step-by-step explanation:

If we find a point on the graph and count it until it reaches other solid point we get that you have to go up three and to the right by one. This solid point I looked at was (0,-4) and counted up to (-1,1). To find the slope, we have to simply count and use "rise over run". The rise is 3 for every 1 we run, making the slope 3/1 which is 3.

the y-intercept is the point on the graph that touches the y-axis on the graph. The only point on the graph that touches the y-axis is -4, making the y-intercept -4.

The equation for a graph is y=mx+b. m would be the slope and b would be the y-intercept. We know that the slope is 3 (m) and that the y-intercept is -4 (b). Putting them together, we get that the equation of the graph is y=3x-4.

6 0
2 years ago
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