All categories

2 years ago

Alice has a 4-inch by 5-inch photo of your school’s championship girls’ ice hockey team. To celebrate their recent

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

7 0

Alice should pick the enlarged-photo with dimensions of 8-inch by 10-inch.

Step-by-step explanation:

Step 1:

In order for a part of the photo to not be cut off, the enlarged photo's dimensions should be of a constant ratio with the original photo's dimensions.

We divide the dimensions of the enlarged-photo with the dimensions of the original photo to check which has a constant ratio.

Step 2:

The original photo was a 4-inch by 5-inch photo.

Option 1 is 7-inch by 9-inch, so the ratios are

$\frac{7}{4} = 1.75, \frac{9}{5} = 1.8.$ The ratios are different so this cannot be the enlarged photo's dimensions.

Option 2 is 8-inch by 10-inch, so the ratios are

$\frac{8}{4} = 2, \frac{10}{5} = 2.$ The ratios are the same so this can be the enlarged photo's dimensions.

Option 3 is 12-inch by 16-inch, so the ratios are

$\frac{12}{4} = 3, \frac{16}{5} = 3.2.$ The ratios are different so this cannot be the enlarged photo's dimensions.

So the enlarged-photo with dimensions of 8-inch by 10-inch should be picked.

You might be interested in

What type of triangle has side lengths of 4√5, √145 and 19?

Masja [62]

a, b, c - side lengths (a ≤ b ≤ c)

If $a^2+b^2 < c^2$ , then is Obtuse triangle.

If $a^2+b^2=c^2$ , then is Right triangle.

If $a^2+b^2 > c^2$ , then Acute triangle.

$a=4\sqrt5,\ b=\sqrt{145},\ c=19\to a < b < c$

Check to see if the sum of the first two sides is greater than the third.

$a+b=4\sqrt5+\sqrt{145}\approx9+12=21 > 19=c\\\\CORRECT$

$a\neq b\neq c\neq a$ , therefore is Scalene triangle.

$a^2=(4\sqrt5)^2=4^2(\sqrt5)^2=16(5)=80\\\\b^2=(\sqrt{145})^2=145\\\\c^2=19^2=361\\\\a^2+b^2=80+145=225 < 361=c^2\\\\a^2+b^2 < c^2$

It's Obtuse triangle.

5 0

2 years ago

A movie was 3 1/2 hours long. If Lily turned the movie off 1/4 of the way through, how much time did she spend watching it?

elixir [45]

330 minutes watched

330 ÷ 4 = 82.5 mins

1 hour 22minuites and 30 seconds spent watching

8 0

2 years ago

Read 2 more answers

Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. one time while inside a volcano, he heard some rum

defon

From the given scenario is this particular item, the equation that can be derived for the distance traveled after x seconds is,
y = d₀ + (4)x
Substituting the known values x and y in order to solve for d₀ will give us an answer of,
13 = d₀ + 4(3)
d₀ = 1
Thus, the answer is 1 m.

5 0

1 year ago

The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first car

ivanzaharov [21]

Answer:

Option C is right

C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace.

Step-by-step explanation:

Given that the probability of drawing two aces from a standard deck is 0.0059

If first card is drawn and replaced then this probability would change. By making draws with replacement we make each event independent of the other

Drawing ace in I draw has probability equal to 4/52, when we replace the I card again drawing age has probability equal to same 4/52

So if the two draws are defined as event A and event B, the events are independent

C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace.

4 0

1 year ago

David is throwing a stone in the air at an angle from the ground with an initial velocity of 30 feet per second. The equation gi

Shtirlitz [24]

Answer:

42 feet.

Step-by-step explanation:

h=-10t² + 40t +2

The vertex of the quadratic function described by the equation is located at

t = -(40)/(2(-10)) = 2

Next is to find the value of height at t=2 will be

h = -10(2²) +40(2) +2 = -40 +80 +2 = 42feet

The maximum height is 42 feet.

7 0

2 years ago