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jenyasd209 [6]
3 years ago
11

Jada and Carl share a box of cereal. By the end of the week, Jada has eaten 3/10 of the box and Carl ate 3/5 of the box. How man

y ounces are left in the box?
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:

There would only be 1/10 of the box left.

Step-by-step explanation:

In order to find this, subtract the two amounts eaten from 1 whole box.

1 - 3/10 - 3/5. = Leftover

Now give them all common denominators and perform the indicated operations.

10/10 - 3/10 - 6/10 = Leftover

1/10 = Leftover.

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John is standing in his backyard and decides to estimate the height of a tree. He stands so that the tip of his shadow coincides
Andrew [12]

The tree is 820 inches tall using the similarity of triangles.

To get the height of the tree, we will use the properties of similar triangles expressed as:

\frac{70in}{7ft} = \frac{h}{75ft+7ft}\\\frac{70in}{7ft} = \frac{h}{82ft}\\

  • Note that 1 foot = 12inches
  • 7ft = 84in and 82ft = 984in

  • h is the required height of the tree. Simplify the equation above to get the height "h" and replace feet with inches;

\frac{70}{84} = \frac{h}{984}\\84h =70 \times 984\\84h = 68,880\\h=\frac{68,880}{84}\\h= 820in

Hence the tree is 820 inches tall using the similarity of triangles.

Learn more on similarities of triangles here: brainly.com/question/24295402

8 0
3 years ago
Helps are really appreciated!!
Nastasia [14]

Answer:

a) 58.24 square centimeters

b) 5cm

Step-by-step explanation:

a) Area of a parallelogram

The formula for the Area of a parallelogram = Base × Height

Height : 5.2cm

Base : 11.2cm

Area = 5.2 cm × 11.2cm

= 58.24 square centimeters

b) Volume of a cuboid

The formula for the Volume of a cuboid = Length × Width × Height

7cm = Width

3cm = Length

y = Height

Volume = 105cm³

We are to find y

Hence,

105cm³ = 7cm × 3cm × y

y = 105cm³/7cm × 3cm

y = 5cm

8 0
3 years ago
A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole. The pole is 48 ft tall. W
Irina-Kira [14]

Answer:

73 feet.

Step-by-step explanation:

Given:

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.

The pole is 48 ft tall.

Question asked:

What is the length of the rope?

Solution:

Here we found that a right angle triangle is formed in which base and height is given <u>as shown in the figure, </u>we have to find the longest side of the triangle,

Base = 55 feet

Height = 48 feet

Length of the rope = ?

By Pythagoras theorem:

Square of longest side = Square of base + Square of height

               (Longest\  side)^{2} =  55^{2} +48^{2}

                (Longest\  side)^{2} =  3025+2304

               (Longest\  side)^{2} =  5329

                 Taking root both side

            \sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}

                Longest\  side =  73

Thus, length of the rope is 73 feet.

                                     

Download docx
5 0
3 years ago
Without finding the inverse of the function, determine the range of the inverse of f left parenthesis x right parenthesis equals
natta225 [31]

c

The domain of the function is all real numbers greater than or equal to 0.

The range of the function is all real numbers greater than or equal to −1.

The range of the function is all real numbers less than or equal to 0.

The domain of the function is all real numbers less than or equal to 0

7 0
2 years ago
Write an equation of the line passing through the points (3,7) and (-1,-13)
kykrilka [37]

Answer:

Step-by-step explanation:

(-13 - 7)/(-1 + 3) = -20/2 = -10

y - 7 = -10(x - 3)

y - 7 = -10x + 30

y =  - 10x + 37

4 0
3 years ago
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