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2 years ago

Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side?

Mathematics

2 answers:

Elanso [62]2 years ago

8 0

Answer:

It has to be 4-7

Step-by-step explanation:

Anastasy [175]2 years ago

6 0

Answer:

3 < x < 11

Step-by-step explanation:

triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side

if 'x' is the third side then:

x + 4 > 7

7 + 4 > x

therefore, 'x' must be greater than 3 and less than 11

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Tawnee is designing a playground in the shape of a rectangle. If Tawnee increases the length and width of the playground by a sc

svetlana [45]

Answer:

We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Step-by-step explanation:

We know that the perimeter of a rectangle = 2(l+w)

i.e.

P = 2(l+w)

Here

'l' is the length

'w' is the width

Given that the length and width of the playground by a scale factor of 2

A scale factor of 2 means we need to multiply both length and width by 2.

i.e

P = 2× 2(l+w)

P' = 2 (2(l+w))

= 2P ∵ P = 2(l+w)

Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

4 0

3 years ago

Read 2 more answers

Launa bought 20 pizzas for a party. How many pieces of pizza will she have if she divides them each into eighths? A 20 B 190 C16

mart [117]

Answer:

D. 160 pieces of pizza!

Step-by-step explanation:

If each pizza is cut into 8 pieces you would multiply 20 by eight and you get 160. Hope this helps! Have a great day!

5 0

2 years ago

What makes a function

Bas_tet [7]

A function is a expression that defines a relationship between one variable and another variable

4 0

3 years ago

Read 2 more answers

Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at

r-ruslan [8.4K]

Answer:

a) See figure attached

b) $x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

c) $h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

$\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}$

$r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft$

Then we can use the same law in order to find the valueof x liek this:

$\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}$

$x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

$sin (59) = \frac{h}{35}$

And if we solve for h we got:

$h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

5 0

3 years ago

Which function has a vertex at the origin?

dlinn [17]

Answer:

(d) f(x) = -x²

Step-by-step explanation:

For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...

f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)

f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)

Of the offered answer choices, the only one with a vertex at the origin is ...

f(x) = -x² . . . . . a=-1

6 0

1 year ago