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murzikaleks [220]
3 years ago
7

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given = 6"

Mathematics
1 answer:
Svetllana [295]3 years ago
6 0
From this detail that is a right isosceles triangle result that the angles from the base has measure of 45 degrees 
- there is given again that the length of legs is 6"
- than we drawn the height from the right angle on hypotenuse and use sin45 we get 
but we need to know that 6" = 6*2,6 = 15,6 cm = 0,156 m
cos 45° = (half of hypotenuse)/6"

sqrt2 /2 = (half of hyp) /6"

half of hyp. = 6"sqrt2 /2 = 3sqrt2" so than the length of hypotenuse will be 

equal 2*3sqrt2 = (6sqrt2)"
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32 is 40% of what is the answer
ANTONII [103]
32 is 40% of?

32/40

32 ÷ 40 = 0.8
0.8 × 100 = 80
80

32 is 40% of 80. 
6 0
3 years ago
Please help me with this
Xelga [282]

Answer:

30

Step-by-step explanation:

Use PEMDAS

parentheses is first

3+7=10

There's no exponents

You have to do it in order from left to right

6÷2=3

3*10=30

4 0
2 years ago
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In words, what is this shape and how do you know?<br><br> (the shape is a rectangle)
Sonbull [250]

Answer: The shape is a rectangle. We know this because it has 4 corners and 4 sides. And it is a quadrilateral.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ralph Chase plans to sell a piece of property for $155000. He
Mrrafil [7]

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000    (1)

Also:

0.1a + 0.08b = 14100    (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7
zhenek [66]

Answer:

2

Step-by-step explanation:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0
3 years ago
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