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3 years ago

Is the purple triangle a right triangle? Explain. 15.5 20.8 m 14.0 m

Mathematics

2 answers:

Olenka [21]3 years ago

6 0

Answer:

15.5^2 + 14.0^ = 20.8^2

436.25 = 432.64

it is not a triangle because a+b is not = c

cupoosta [38]3 years ago

3 0

Answer: These given lengths do not make up a right triangle.

Step-by-step explanation:

In order to figure out if this is a right triangle or not, we would need to use the Pythagorean Theorem in order to verify if these lengths satisfy the properties of a right triangle. We would need to use the formula a^2 + b^2 = c^2.

14^2 + 15.5^2 = 20.8^2

196 + 240.25 = 432.64

436.25 ≠ 432.64

Therefore, this is not a right triangle.

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marysya [2.9K]

Answer:

840 square feet

Step-by-step explanation:

13 x 20 = 260 x 2 = 520

10 x 12 / 2 = 60 x 2 = 120

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520 + 120 + 200 = 840

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2 years ago

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2x+y=-6 what are the x and y intercepts

Deffense [45]

Answer:

Step-by-step explanation:

y intercept

To find the y intercept, make x = 0

2(0) + y = - 6 zero times anything is 0

0 + y = -6

The y intercept is (0,-6)

x intercept

The x intercept happens when y = 0

2x + 0 = -6 zero added to anything = whatever you started with.

2x = - 6 Divide by 2

2x/2 = -6/2 Do the division

x = - 3

The x intercept = (-3,0)

5 0

3 years ago

Cant find the answer

dedylja [7]

Answer:

Carter family = 25 hours

Davis family = 31 hours

Step-by-step explanation:

Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.

So combined:

x + y = 45 hours

and we are also told that:

40x + 15y = 1300 L

So we can do simultaneous equations to solve the problem.

With some rearranging, we can figure out that:

y= 45 - x

and by substituting that into the second equation:

40x + 15 (45 -x) = 40x + 675 - 15x = 1300L

25x = 1300 - 675

25x = 625

x = 25 = hours that the Carter family used their sprinkler

and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:

25 + y = 56

y = 31

The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.

7 0

1 year ago

−2(2x+3)≤26 - 2 2 x + 3 ≤ 26 ?

SashulF [63]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26.$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26$

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

$2x+3\geq \frac{26}{-2} \\$

Divide 26 by -2..we'll get the answer as -13.

$2x+3\geq -13$

Now, subtract 3 from both the sides.

$2x\geq -13-3$

Subtracting -13 by 3..we'll get the answer as -16.

$2x\geq -16$

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

$x\geq \frac{-16}{2} \\$

Divide -16 by 2..we'll get the answer as -8.

$\huge \boxed{ \boxed{ \bf \: x\geq -8 }}$

The correct answer is ⇨ x greater than or equal to -8.

3 0

2 years ago

Verify the identity. sin (x+pi/2)=cos x

hram777 [196]

Given data
sin (x+pi/2)=cos x
now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

sin (x+pi/2)=cos x

4 0

3 years ago