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malfutka [58]
3 years ago
14

Someone please help me with this

Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

  not similar; corresponding sides are not proportional

Step-by-step explanation:

If the triangles were similar, corresponding sides would be proportional. That is, you would have ...

  AX/AB = AY/AC

Here, those ratios are ...

  6/24 ≠ 10/35

so, the corresponding sides are not proportional, and the triangles are not similar.

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6x+y=4x+11y solve for y
seropon [69]

Answer:

y= \frac{1}{5} x

Step-by-step explanation:

6x + y = 4x + 11y

put all the y's onto one side, and the x's onto another

6x - 4x = 11y - y

2x = 10y

10y = 2x

now divide both sides by 2  

y= \frac{1}{5} x

and there you go!

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Read 2 more answers
A total of $4000 is invested: part at 8% and the remainder at 14%. How much is invested at each rate if the annual interest is $
skelet666 [1.2K]

Answer:

$2000 is invested at 8%

$2000 is invested at 14%

Step-by-step explanation:

A total of $4000 is invested part at 8% and the remainder at 14%

Annual interest is $440.

Simple interest formula;

I = P × R × T

Where I is the interest, P is the principal, R is the rate and T is the time.

P = $4000

R = 8% and 14%

T = 1 year

I = $440

Let's say $a is invested at 8% and;

$b is invested at 14%

Then,

($a × \frac{8}{100} × 1 ) + ($b × \frac{14}{100} × 1) = $440

and

$a + $b = $4000

This forms a simultaneous equation;

0.08a + 0.14b = 440 ... (i)

a + b = 4000 ... (ii)

Multiplying (i) by 1 and (ii) by 0.08  we get;

0.08a + 0.14b = 440 ... (i)

0.08a + 0.08b = 320 ... (ii)

Subtracting (i) - (ii) we get;

0 + 0.06b = 120

0.06b = 120

b = 120 ÷ 0.06 = 2000

So amount invested at 14% ($b) = $2000 and,

The amount invested at 8% ($a) = $4000 - $2000 = $2000

7 0
3 years ago
Sandra has a cylindrical mold for making candles with a radius of 3.4 cm and a height of 6 cm. If Sandra uses a rectangular bloc
Wittaler [7]

Answer:

14\ candles

Step-by-step explanation:

step 1

Find the volume of the cylindrical mold

The volume is equal to

V=\pi r^{2} h

we have

r=3.4\ cm

h=6\ cm

assume

\pi=3.14

substitute

V=(3.14)(3.4)^{2}(6)

V=217.79\ cm^{3}

step 2

Find the volume of the wax

The volume is equal to

V=(15)(12)(18)

V=3,240\ cm^{3}

step 3

Divide the volume of the wax by the volume of the cylindrical mold, to calculate the number of candles

3,240/217.79=14.9\ candles

Round down

14\ candles

5 0
3 years ago
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