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3 years ago

What is the range of this function

Mathematics

1 answer:

STatiana [176]3 years ago

8 0

Yo sup??

Range refers to the permissible values of y

on observing the given set the possible values of y are

{2,3,4}

therefore your answer is option A

Hope this helps.

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If arc XV = 80° and arc YX = 120°, what is the measure of ?YUV?

kramer

Answer:

The measure of angle YUV is 40°

Step-by-step explanation:

Consider the diagram of this question is attached below,

Where, Tangent line UV and secant XY intersect outside the circle at U,

Since,

$\widehat{XV}+\widehat{XY}+\widehat{VY}=360^{\circ}$

We have,

$\widehat{XV}=80^{\circ}, \widehat{XY}=120^{\circ}$

$\implies 80^{\circ}+120^{\circ}+\widehat{VY}=360^{\circ}$

$200^{\circ}+\widehat{VY}=360^{\circ}$

$\widehat{VY}=360^{\circ}-200^{\circ}=160^{\circ}$

Since, the measure of intercepted angle outside the circle is half of the difference of measure of intercepted arcs,

$\implies m\angle YUV = \frac{\widehat{VY}-\widehat{XV}}{2}$

$=\frac{160^{\circ}-80^{\circ}}{2}$

$=\frac{80^{\circ}}{2}$

$=40^{\circ}$

6 0

4 years ago

A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.

Lady_Fox [76]

Answer is: 32 nickels and 23 dimes.
x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
nickel is a five-cent coin.
dime is a ten-cent coin.
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05·(55 - y) + 0,1y = 3,902,75 - 0,05y + 0,1y = 3,90
0,05y = 1,15
y = 23.
x = 55 - 23 = 32.

5 0

4 years ago

Read 2 more answers

a vase has the shape of a rectangular prism. the inside of the vase is also a rectangular prism. what is the volume of the solid

MrRa [10]

We have been given that a vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. We are asked to find the volume of the solid part of the vase .

The volume of solid part of the vase is equal to volume of rectangular vase minus volume of inside of the vase.

We know that volume of rectangular prism is length times width times height.

$\text{Volume of the solid part of the vase}=25\cdot 8\cdot 10-22\cdot 5\cdot 4$