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3 years ago

Is a triangle with the angles 80, 40, and 40 an unique triangle

Mathematics

2 answers:

Anni [7]3 years ago

8 0

Answer:

yes

Step-by-step explanation:

KatRina [158]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

hope this helps

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A chord of a circular clock is 48 inches long, and its midpoint is 7 inches from the center of the circle. What is the radius of

Sphinxa [80]

ANSWER

The radius is 25 inches

EXPLANATION

From the diagram, the radius of the circle is AC.

From the Pythagoras Theorem,

${r}^{2} = {7}^{2} + {24}^{2}$

$r^{2} = 49 + 576$

Simplify

$r^{2} = 625$

Take positive square root,

$r = \sqrt{625}$

$r = 25$

Hence the radius is 25 inches

8 0

3 years ago

An object dropped from a height of 600 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=600 - 16t^2

gulaghasi [49]

Answer:

t as a function of height h is t = √600 - h/16

The time to reach a height of 50 feet is 5.86 minutes

Step-by-step explanation:

Function for height is h(t) = 600 - 16t²

where t = time lapsed in seconds after an object is dropped from height of 600 feet

t as a function of height h

replacing the function with variable h

h = 600 - 16t²

Solving for t

Subtracting 600 from both side

h - 600 = -16t²

Divide through by -16

600 - h/ 16 = t²

Take square root of both sides

√600 - h/16 = t

Therefore, t = √600 - h/16

Time to reach height 50 feet

t = √600 - h/16

substituting h = 50 in the equation

t = √600 - 50/16

t = √550/16

t= 34.375

t = 5.86 minutes

7 0

3 years ago

If 10 + a = 10, then a = 0

Lunna [17]

Answer:

B) identity property of addition.

Step-by-step explanation:

Given:

The statement given is:

$10+a=10,\ then\ a=0$

Here, we observe that 10 is added to a giving the number 10 itself as the answer. So, we know of a property which says that when 0 is added to a number, the result is the number itself. This property is called identity property of addition.

So, the value of $a$ must be 0 because on adding $a$ to 10, we are getting the number 10 only. So, the above statement is an example of identity property of addition.

5 0

3 years ago

Center (-15,11) radius 2

kodGreya [7K]

Answer:

$(x+15)^2+(y-11)^2=4$

Step-by-step explanation:

<u><em>The question is</em></u>

How do you write an equation for a circle with center (-15,11) and radius 2?

we know that

The equation of a circle in center radius form is given by

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center of the circle

r is the radius of the circle

substitute the given vales

$(x+15)^2+(y-11)^2=2^2$

$(x+15)^2+(y-11)^2=4$

8 0

3 years ago

In 15 years lisa will be four times as old as she is now. how old is she now

Eva8 [605]

Answer:

Lisa is 5 years old

Step-by-step explanation:

we can make an equation like

4x=15+x

X can represent Lisa’s current age

Now just solve for X

3x=15

x=5

And we can check

If Lisa is 5 years old now

In 15 years she would be 20

And 20 is 4 times as 5 which Is her current age

So Lisa is 5 years old now.

5 0

3 years ago