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Nata [24]
4 years ago
5

How long is the blue line segment?

Mathematics
1 answer:
ikadub [295]4 years ago
6 0

Answer:

its A

Step-by-step explanation:

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Please help me to solve this question
luda_lava [24]
The equation for area of a triangle is 0.5*base*height, so when you halve both the base and height, the area gets divided by 4.

The area of the first triangle is 0.5*80*40 = 1600 cm^2.

6 1/4 cm^2 is the same as 25/4 cm^2.

Now, we have to see how many times 1600 cm^2 can be divided by 4 to get 25/4 cm^2.

Area of second triangle: 1600/4 = 400
Area of third triangle: 400/4 = 100
Area of fourth triangle: 100/4 = 25
Area of fifth triangle = 25/4

So, the fifth triangle has an area of 6 1/4 cm^2.

The pattern would be the area of the nth triangle = \frac{1600}{4^{n-1}}
7 0
3 years ago
5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in
hram777 [196]
X: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
4 0
4 years ago
What is the sales tax on the chair shown if the tax rate is 5.75% ( the chairs price is $178.90)
Arturiano [62]
Sales tax is:
$178.90* (5.75/100)=$10.29

The sales tax of the chair is $10.29~
7 0
3 years ago
How is subtracting a
Aleks [24]
Because when you subtract a negative number the signs cancel out and become and addition problems
4 0
3 years ago
Read 2 more answers
May has 1,473 and kay has -44 what is the diference
xenn [34]

The difference would be:

1,517.

8 0
3 years ago
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