All categories

2 years ago

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Mathematics

1 answer:

sesenic [268]2 years ago

6 0

9514 1404 393

Answer:

a = 6
b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

Side A in the smaller triangle is ...

A/15 = 4/10

A = (4/10)(15) = 6

The ratio of larger to smaller is the inverse of the above ratio, so ...

B/9 = 10/4

B = (10/4)(9) = 22.5

You might be interested in

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

$q = -6p + 104$

7 0

2 years ago

A bag of trail mix weighs 1.625 pounds round 1.625 to the nearest hundredths

Andrew [12]

If you round 1.625 pounds to nearest hundredths its 1.63 pounds.

7 0

2 years ago

A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used

kykrilka [37]

Answer:

1.65 + 0.09s

Step-by-step explanation:

Given that :

Cost of speaker = $22

Cost per song = $1.25

Sales tax rate = 7.5%

Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)

Expanding the expression :

0.075(22 + 1.25s)

(0.075 * 22) + (0.075 * 1.25s)

1.65 + 0.09375s

Rounding to the nearest hundredth :

Sales tax on entire purchase :

1.65 + 0.09s

4 0

1 year ago

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Ya

stich3 [128]

Answer:not A

Step-by-step explanation:

8 0

1 year ago

You and a friend are playing a game by tossing two coins. If both coins land

Novosadov [1.4K]

c. No. You have a probability of winning, while your friend has a
probability of winning.
Or it’s A

3 0

2 years ago

Read 2 more answers