Ask question

Ask question

All categories

4 years ago

7

A right isosceles triangle has an area of 65cm^2. What's the length of each leg to the nearest tenth of a cm.

1 answer:

Andreas93 [3]4 years ago

5 0

Well, we know that the legs of this triangle are equal, and we know
that the area of any triangle is (1/2)(base)(height) .

Since this is a right triangle, we can set it down on one leg, and then
the other leg will be the height. Then ...

Area = (1/2) (base) (height)

= (1/2) (leg) (leg)

65 cm² = (1/2) (leg)²

Multiply each side by 2 : 130 cm² = (leg)²

Take the square root of each side: leg = √130 cm² = 11.402 cm

rounded to the nearest tenth: 11.4 cm

You might be interested in

The diagram shows an awning on the front of a building. The top of the awning makes a 40° angle with the building. The base of t

slamgirl [31]

Answer:

Height of the awning = 9.52 feet

Step-by-step explanation:

For better understanding of the solution, see the attached diagram of the problem :

According to the figure, AB is the height of the awning

Now, the base of awning will be perpendicular to the building

⇒ m∠ABC = 90°

In ΔABC, By using angle sum property of a triangle

m∠ABC + m∠ACB + m∠BAC = 180°

⇒ m∠ACB = 50°

$Now,\tan 50=\frac{Perpendicular}{Base}\\\\tan 50=\frac{AB}{8}\\\\\implies AB=8\times \tan 50\\\\\bf\implies AB=9.52 \textbf{ feet}$

Hence, Height of the awning = 9.52 feet

5 0

3 years ago

Kendra has $ 7.35 in nickels and quarters. If she has 15 more quarters than nickels, how many of each coin does she have?

lozanna [386]

x*5 - quarter amount

(x+15)*25- nickels amount

(x*5)+((x+15)*25)=735

5x+25x+375=735

30x=735-375

30x=360

x=360/30=12 - number of nickels

x+15=12+15=27 - number of quarters

CHECK

12*5=60 ¢

27*25=675 ¢

675+60=735 ¢ or $7.35

5 0

4 years ago

Graph a line through the point (-3, 2) with a slope of -2/5

Margaret [11]

Answer: y= -2/5x + 2

Step-by-step explanation:

Y= Mx + b

M is the slope

B is the y intercept

The y intercept will be out on the y axis

The slope will be rise over run ( do you first then do to the right!)

5 0

3 years ago

PLEASE HELP QUICKLY IF YOU CAN!

Anastasy [175]

Answer:

6 - $(\frac{2}{3} )^{2} =$ $\frac{50}{9}$

3² - $(\frac{2}{3} )=$ $8\frac{1}{3}$

7 - $(\frac{1}{2} )^{3}$ = $\frac{55}{8}$

Step-by-step explanation:

1. 6 - $(\frac{2}{3} )^{2}$

First, apply the exponent to 2/3. Because it's to the second power, multiply 2/3 by itself.

$(\frac{2}{3} )^{2}=\frac{4}{9}$

6 - $\frac{4}{9}$

Now, subtract.

6 - $\frac{4}{9}$ = $\frac{50}{9}$

------------------------------------------

2. 3² - $\frac{2}{3}$

First, apply the exponent.

3² = 9

9 - $\frac{2}{3}$

Now, subtract.

9 - $\frac{2}{3}=\frac{25}{3}$

$\frac{25}{3} =8\frac{1}{3}$

------------------------------------------

3. 7 - $(\frac{1}{2} )^{3}$

First, apply the exponent.

$(\frac{1}{2} )^{3}$ = $\frac{1}{8}$

7 - $\frac{1}{8}$

Now, subtract.

7 - $\frac{1}{8}=\frac{55}{8}$

hope this helps!

4 0

2 years ago

What is the slope of,<br> (-2,1) and (5,4)?

Neporo4naja [7]

Answer:

$\frac{3}{7}$

Step-by-step explanation:

$\frac{4-1}{5--2}$ =

$\frac{4-1}{5+2}$ =

$\frac{3}{7}$

5 0

3 years ago