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Zarrin [17]
3 years ago
14

Need help asap please! Thanks!

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
The diagram tells us 3 things: the right angle and the two corresponding side measurements. Because the side measurements are corresponding, we can set a proportion:

6/9=9/15

If this proportion is true, it means the triangles are similar. If this proportion is impossible, it means the triangles are no similar.

To calculate this, we use cross multiplication.

6/9=9/15

6*15=9*9
90=81

90 does not equal 81 making this proportion impossible, which concludes that these two triangles are not similar.

I hope this helps! Please comment if you have any questions.
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Can I get some help please?
IrinaK [193]

Answer: A

Step-by-step explanation:

A linear function is described as:

https://tex.z-dn.net/?f=f(x)%20%3D%20ax%20%2B%20b

When the value of x = 0, then you're left with

https://tex.z-dn.net/?f=f(x)%20%3D%20b

In this question, the speed of sound is the linear function while the temperature is the independent variable. When T = 0, you're left with

https://tex.z-dn.net/?f=S(0)%20%3D%20331.4

Which means the speed of sound in air when temperature is 0°C is 331.4m/s.

5 0
3 years ago
Read 2 more answers
A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting i
KonstantinChe [14]

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

7 0
3 years ago
In the congruent figures ABCD and WXYZ, which angles are corresponding?
nordsb [41]

Answer: B

The letters have the same positions in the figure names.

4 0
2 years ago
Simplify radical expression <br><br> √10z^5 - z^2 √10z
SCORPION-xisa [38]

Answer:

√10z^3(z - 1)(z + 1).

Step-by-step explanation:

The GCF is √10z* z^2

= √10z^3

So factoring we get

√10z^3(z^2 - 1)           The expression in brackets is difference of 2 squares so:

= √10z^3(z - 1)(z + 1)

5 0
1 year ago
The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po
grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm


Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

=xy

we are given that area as 1536

so, we can set it to 1536

xy=1536

now, we can solve for y

y=\frac{1536}{x}

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

A=(8+x+8)\times (12+y+12)

A=(x+16)\times (y+24)

now, we can plug back y

A=(x+16)\times (\frac{1536}{x}+24)

now, we have to minimize A

so, we will find derivative

A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)

we can use product rule

A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)

=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)

now, we can simplify it

A'=-\frac{24576}{x^2}+24

now, we can set it to 0

and then we can solve for x

A'=-\frac{24576}{x^2}+24=0

-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2

-24576+24x^2=0

x=32,\:x=-32

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

x=32

now, we can solve for y

y=\frac{1536}{32}

y=48

so, dimensions of printed poster are

length is 32 cm

width is 48 cm


5 0
3 years ago
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