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liubo4ka [24]
3 years ago
6

Need help with this question; What is the measure of one leg of a right angle given that the hypotenuse measure 14cm and the oth

er leg measure 8cm? Please help with explanation. I'll mark you as brainiest.
Mathematics
1 answer:
melamori03 [73]3 years ago
3 0

Answer:

11.5 cm

Step-by-step explanation:

The dimensions of a right angled triangle can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

a² + 8² = 14²

a² + 64 = 196

a² = 196 - 64

a² = 132

find the square root of 132

a = 11.5 cm

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Please answer asap thanks.
Hitman42 [59]

Answer:

94cm²

Step-by-step explanation:

S = 2(lw + lh + wh)

=2(20+15+12)

=40+30+24

=94cm²

Hope this helps! Can u give me brainliest, please:)

7 0
2 years ago
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Pls, answer this first CORRECT answer gets the best everything!!
Tomtit [17]

Answer:

9.1 x 10² = 910

9.1 / 10² = 0.091

Step-by-step explanation:

3 0
3 years ago
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The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean
Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0
3 years ago
Jennifer has carpet in her square bedroom. She decides to also purchase carpet for her living room which is rectangular in shape
shtirl [24]

Answer/Step-by-step explanation:

Let's highlight the dimensions of the bedroom and living room using the information given in the question:

==>Squared Bedroom dimensions:

Side length = w = x ft

Area = x*x = x²

==>Rectangular living room dimensions:

width = side length of the squared bedroom = x

length = (x + 9) ft

Area = L*W = x*(x+9) = x² + 9x

Now let's match each given expression with what they represent:

==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"

As we have shown in the dimensions of the squared bedroom above.

==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room

==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"

i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.

==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".

i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x

7 0
3 years ago
Which is The graph of f(x) = 5(2)^x
Snezhnost [94]
The graph reflecting the mathematical equation f(x) = 5*2^x is attached on this answer. Graph shows the exponential manner with the y-intercept is at y = 5. we can plot this graph by substituting points of x from a certain range (positive and negative) and get their corresponding y's

5 0
3 years ago
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