Lisa and Lori each dried 1/3 of the glasses. What fraction of the glasses

Please help! determine the measure of the missing angles. show your work.

IrinaVladis [17]

Top triangle: if the know angle measures are 90 and 55 and there are a total of 180, 90 + 55 + a = 180. This means that angle a = 35°

Bottom triangle: if a is 35, the angle connected to it is 35 because they are vertical angles. The angles of this triangle are 35 + 120 + b = 180. Angle b = 25°

5 0

3 years ago

Sasha packed unit cubes into a prism, as shown. Which statement about the volume of the box is true.

Zina [86]

Answer:

The answer is " The volume is greater than 50 cubic units "

Step-by-step explanation:

In this question, the value of the units and figure is missing that's why its solution can be defined as follows:

Let's the unit value =50 and please find the figure in the attachment file.

The given figure shows its box is not filled with 50 cubes. These were ten empty places where cubes could be placed.

This figure indicates that only the box size will be four units per five units per three units, so they realize it will be in...

$\to (4 \times 5 \times 3) \ units^3 = 60 \ units^3$

That's why the volume value exceeds 50 cubic units.

6 0

2 years ago

The volume of the sphere is 500/3 pi

USPshnik [31]

This question is already answered......

3 0

3 years ago

If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating 5 units down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ must be less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.