QUESTION Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm.

A kite flying in the air has an 7-ft line attached to it. Its line is pulled taut and casts a 5-ft shadow find the heights of th

Stels [109]

The height of the kite is 4.89 feet

Explanation

The length of the line attached to the kite=7 feet

The length of the shadow that is cast on the ground=5 feet

the system forms a right angled triangle where the taught string of the kite is the hypotenuse, the shadow is the base and the height of the kite above the ground is the height.

H=7 feet

b=5 feet

using pythagoras theorem

$h^2+b^2=H^2\\h^2=H^2-b^2\\h^2=7^2-5^2\\=49-25\\=24\\h=\sqrt{24\\} =2\sqrt{6} \\=4.89 feet$

The kite is 4.89 feet above the ground

3 0

2 years ago

Sara has a gift box with a volume of 64 in3. The length, width, and height of the box are all y inches. Sara needs to determine

antoniya [11.8K]

Answer:

No, the note papers will not fit the gift box.

Step-by-step explanation:

Given that:

Volume of the gift box = 64 $in^3$

Length, width and height of the box all are equal to $y$ inches.

Dimensions of note papers = 6 inch by 6 inch

To determine:

Whether the note papers will fit the bottom of the box?

Solution:

Here, we need to find the dimensions of the gift box first.

If the dimensions of gift box are greater than or equal to the dimensions of the note papers, only then the papers will fit into the box.

As per the given question statement, the gift box is in the form of a cube.

Formula for volume of a cube is given as:

$Volume = (Side)^3$

Side is given equal to $y$ inches.

$64 = y^3\\\Rightarrow y = 4\ in$

Dimensions of the box are lesser than that of the note papers.

Therefore, the note papers will not fit into the gift box.

6 0

2 years ago

I need help ASAP. Thank you :)

kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

Sum of the adjacent angles in a straight line = 180°

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

In parallelogram, Adjacent angles form a linear pair.

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

Sum of the adjacent angles in a straight line = 180°

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

In triangle, angles opposite to equal sides are equal.

m∠DFE = m∠DEF

m∠DEF = 64°

sum of all the angles of a triangle = 180°

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

8 0

3 years ago

Explain the 2 different answers you can get when solving an equation and the variable is eliminated.

SashulF [63]

Answer:

Step-by-step explanation:

Don't know ur answer make q clear

4 0

2 years ago

Read 2 more answers

PLZ PLZ PLZ HELP ME!!! AND QUICKLY TOO!!! (15 POINTS)

Orlov [11]

The answer would be:

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

See attached picture:

8 0

2 years ago