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riadik2000 [5.3K]
2 years ago
12

1.A sign-making store made a banner from a photograph. The photograph was 8 x 10 inches, and the banner was 12 x 15 feet. What s

cale factor did the sign-making store use? (JUSTIFY)
2. A fish tank is 16 inches long, 13 inches wide, and 11 inches high. Find its volume in cubic inches. (JUSTIFY)

please answer both questions. i will give brainliest
Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

1. 12 feet = 144 inches

15 feet = 180 inches

144 inches / 8 inches = 18

180 inches / 10 inches = 18

The scale factor was 18.

2. Volume = Length x Width X height:

Volume = 16 x 13 x 11 = 2,288 cubic inches.

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Sue wants to paint the longest wall in her bedroom pink. she measured the wall and found that it is 10 feet long and 8 feet tall
jekas [21]

Answer:

Sue should buy 1.6 quart of paint.

Step-by-step explanation:

First we need to find out the area of longest wall

Area =length × breadth

Area= 10 × 8 = 80 square feet

To cover 50 square feet we have required 1 quart of paint

So for covering 1 square feet we have required 1/50 quart of paint

So for covering 80 square feet we have required  ( 1×80 ) / 50 quart

= 1.6 quart of paint

6 0
2 years ago
Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared t
GuDViN [60]

Answer:

There is a 45.05% probability that the selected person is a right-handed female.

Step-by-step explanation:

We have these following probabilities

A 50% probability that a person is a male

A 50% probability that a person is a female.

A 12.6% probability that a male is left-handed.

A 9.9% probability that a female is left-handed.

If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:

50% are female.

9.9% of the females are left-handed, so 100-9.9 = 90.1% of the females are right handed.

So

P = 0.5*0.901 = 0.4505

There is a 45.05% probability that the selected person is a right-handed female.

3 0
2 years ago
A small ferryboat is 4.00 m wide and 6.00 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.00 cm into t
Svet_ta [14]

Answer:

F_w=9408\ N

Weight of the truck=9408 N

Step-by-step explanation:

Boat is experiencing the buoyant force as it is in the water and is sinking

According to the force balance in y direction. As both is floating, two forces balance each other:

F_b-F_w=0

where:

F_b is the buoyant force

F_w is the weight=mg

F_b=F_w        Eq (1)

Buoyant force is equal to the mass of water displaced * gravitational acceleration.

F_b=m_{water\ displaced}*g\\F_b=\rho Vg\\

Taking density of water to be 1000 Kg/m^3

F_b=1000*(6*4*4*10^{-2})*9.8\\F_b=9408 N

From Eq(1):

F_w=9408\ N

Weight of the truck=9408 N

6 0
2 years ago
Kaitlyn gave 1/2 of her candy bar to arianna. arianna gave 1/3 of the candy she got from kaitlyn to cameron. what fraction of a
sukhopar [10]
Let the total candy bar be represented by x.

Amount of chocolate Kaitlyn gave to Arianna = \frac{1}{2}x

Amount of chocolate Arianna gave Cameron 

= \frac{1}{3} rd <span>of the candy she got from Kaitlyn to Cameron

= </span>\frac{1}{3} × \frac{1}{2}x

= \frac{1}{3}* \frac{1}{2} x  =  \frac{1}{6} x

Hence, Cameron got \frac{1}{6} th of the original chocolate.
5 0
2 years ago
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Elena-2011 [213]

<u>Given</u>:

The length of the segment of the chord DB is 8.2 units.

The length of the segment AB is 6.9 units.

The length of the radius AC be x units.

We need to determine the value of x.

<u>Length of BC:</u>

Since, we know the property that, "if a radius is perpendicular to the chord, then it bisects the chord".

Thus, applying the above property, we have;

DB ≅ BC

8.2 = BC

Thus, the length of BC is 8.2 units.

<u>Value of x:</u>

Since, ∠B makes 90°, let us apply the Pythagorean theorem to determine the value of x.

Thus, we have;

AC^2=AB^2+BC^2

Substituting the values, we have;

x^2=6.9^2+8.2^2

x^2=47.61+67.24

x^{2} =114.85

x=10.7

Thus, the value of x is 10.7 units.

Hence, Option A is the correct answer.

4 0
2 years ago
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