A doll manufacturer is trying to develop a special package for their Holiady Dolls in thee shape of a pyramid with a triangle base. A net of the package is shown below where F is the base of the pyramid. If the height of the package is 10 inches how many cubic inches of space are avalible for the company to fill?

Answers

Answer 1

Answer:

80 in³

Step-by-step explanation:

The volume of a pyramid is :

1/3 * base * height

Height = 10

The base is : the area of the triangle :

Area of triangle = 1/2 * base * height

Base = 6 inches ; height of triangle = 8 inches

Area of triangle = 1/2 * 6 * 8 = 24 inches

Base of pyramid = Area of triangle

Therefore ;

Volume of pyramid = 1/3 * 24 * 10

Volume of pyramid = 8 * 10

Cubic inches of space to fill = 80 in³

A Doll Manufacturer Is Trying To Develop A Special Package For Their Holiady Dolls In Thee Shape Of A

Related Questions

Complete the table using y= 4x+4

Answers

Answer:

0....4.... 8....12....16

Find the value of the length x rounded to 1 DP.

The diagram is not drawn accurately
PLEASE HELP ASAP WILL GIVE BRAINLIEST TO CORRECT ANSWER

Answers

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The value of x is 6.2 units.

What is Tangent (Tanθ)?

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The value of x is,

x = AB - AC

x = 31(Tan 37°) - 31(Tan 29°)

x = 6.17659 ≈ 6.2 units.

Hence, the value of x is 6.2 units.

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Questions 7 and 8 please. Really need help thank you!!

Answers

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

What is the approximate area of Nevada?
205 mi
309 mi
Reno
Carson City
511 mi
Las
Vegas
o 221,244 mi?
110,622 mi?
163,295 mi?
O 200,948 mi?

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Areas,

Let's divide the above map in to 2 parts , that is a rectangle and a triangle, and add both thier areas to get the area of the Nevada.

so we get as,

Area of triangle = 1/2*b*h

Area of triangle ==> 1/2*309*306 ==> 47277 mi^2

Area of rectangle = l*b = 205*309 ==> 63345 mi^2

Area of NEVADA = 47277 + 63345 = 110622 mi^2

hence the area = 110622 mi^2

Answer:

the approximate area of Nevada is 110,567 mi²

Solve the proportion (last was wrong, i apologize to those who answered my previous one!!)

11/s = s/-6

Answers

Answer:

x=±√(-66)

(there is no real solution)

Step-by-step explanation:

Answer:

hngbkx8uff

jrgjgk

Step-by-step explanation:

jgjk

A tennis court is surrounded by a fence so that the distance from each boundary (edge) of the tennis court to the fence is
the same. If the tennis court is 78 feet long and 36 feet wide, what is the area of the entire surface inside the fence?

Answers

Answer:

the answer is 2,808

Step-by-step explanation:

you have to multiply 78 by 36 because it is area

2.
х
у
First
Differences
-2
12
Second
Differences
s
-1
3
0
0
1
3
2.
12

Answers

Answer:

I um need the question to answer.

Step-by-step explanation:

Stonehenge is one of the most famous historical sites in the world. It is believed to
be a burial site built around 2000BC. It covers an area of 804m2. What is the radius
of Stonehenge

Answers

Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...

r=[tex]\sqrt{804/\pi }[/tex]

r=[tex]\sqrt{255.9211}[/tex]

r=15.9975

please help with number 2

Answers

Answer:

3 and 4

36 and 48

Step-by-step explanation:

you got the 1 wrong

should be 5 and 4

20 and 16

Can someone please solve this, can you please show your work.

x - 4 = -3

Answers

Step-by-step explanation:

We need to find x in this question.

x - 4 = -3

So, shifting -4 from one side to another, we get:-

x = -3 + 4

[+4 because the sign changes when we replace the numbers]

x = 4 - 3

x = 1 is the required answer.

Hope it helps :)

How would you write 12-^3 using a positive exponent?
12^3
12^0
12^3/1
1/12^3

Answers

Answer:

[tex] \frac{1}{ {12}^{3} }[/tex]

Step-by-step explanation:

[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]

Rahim was asked to make p the subject of this formula
Q = 5/3 -7
He started his answer as follows
3Q = p - 21 hence p =
Complete Rahim's final answer.

Answers

Answer:

p = 63

Step-by-step explanation:

3Q = p - 21

transfer the -21 to the left as the value of Q. Since it was negative, when we transfer it to the left it will turn to poditve so,

3(21) = p

multiply 3 and 21 so 3 multiplied by 21 is equal to,

63 = p, then the answer is p = 63

Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

Answers

Answer:

Area of sector DFE = 177.79cm²

Area of sector DGE = 437.65cm²

Step-by-step explanation:

Find the diagram attached;

Area of the sector is expressed according to the formula;

Area of the sector = theta/360 * πr²

theta is the central angle = 360 - 256

theta = 104°

r is the radius = 14cm

Substitute into the formula as shown;

Area of the sector = theta/360 * πr²

Area of the sector DFE = 104/360 * 3.14(14)²

Area of the sector DFE = 0.289 * 615.44

Area of the sector DFE = 177.79cm²

Hence the area of the sector <DFE to the nearest hundredth is 177.79cm²

For sector DGE:

Area of the sector DGE = 256/360 * 3.14(14)²

Area of the sector DGE = 0.7111 * 615.44

Area of the sector DGE = 437.65cm²

Hence the area of the sector <DGE to the nearest hundredth is 437.65cm²

Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15

Answers

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

A pair of sandals cost $34.00, and 5% tax is charged on the purchase. How much tax is paid?

Answers

Answer:

1.70 of tax is paid

Step-by-step explanation:

34(1+0.05) = 35.7

35.7-34= 1.70

1 represents out 100%

do 5% in decimal form which is 0.05

2x - 4y = -2
2x + 3y = -16

What is the solution

Answers

Answer:

x=-5

y=-2

Step-by-step explanation:

equation 1 - equation 2

(2x-4y=-2) - (2x+3y=-16) = (-7y=14)

y=14/-7=-2

then substitute y=-2 into any equation

2x-4(-2)=-2

2x+8=-2

2x=-10

x=-10/2=-5

If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.

Answers

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Given B=45, C=95, & c=5. Find b. This is Laws of Sines

Answers

Answer:

b =  3.55 to the nearest hundredth.

Step-by-step explanation:

b / sin B = c / sin C

b / sin 45 = 5 / sin 95

b = 5 sin 45 / sin 95

= 3.549.

HELP PLEASE!!! I really dont understand this!

Answers

b
the average temperature increased from day 5 through day 7

i need help please this is quite hard for me

Answers

Use photomath because it is very helpful bro

One of the measures of a triangle is 30º. If the sum of the other 2 angles is 150º and the differnce their measures is 18º what are the of the unkown angles

Answers

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

What is the spread of the data?

A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years

Answers

The spread of data is A 15 to 30 years

someone please help ??? :,(

Answers

Answer:

32/40 = 24/x  

x=30

Answer:

30

Step-by-step explanation:

32x= 40•24

32=960

X=30

Triangle ABC has the following measurements.

m
write an equation and solve for x

Answers

Answer:

4y

Step-by-step explanation:

Consider the function f(x) =2x-6 find f(2)

Answers

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : [/tex]

f ( x ) = 2x - 6

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: [/tex]

value of f ( 2 )

✧ [tex] \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

❀ [tex] \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}[/tex]

⟼ [tex] \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}[/tex]

♨ [tex] \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ☄

☃ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

What is the common ratio of the sequence?
-2, 6, -18, 54,...

a. −3
b. −2
c. 3
d. 8

Answers

Answer:

A -3

Step-by-step explanation:

-2 x -3 = 6

6 x -3 = -18

-18x -3 = 54

Solve y = x + 8 for x.
A x = y + 8
B x = y − 8
C x = −y + 8
D x = −y − 8

Answers

Answer:

chess is good oodles like poodles

Simplify fully125y2/10xy​

Answers

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

can you figure out the missing number in this sequence?

2, 5, 9, 14, 27

Answers

Answer:

The missing number in the sequence is 20

Step-by-step explanation:

The difference between the numbers are as follows: 3,4,5,6,7

The missing number of the given sequence is 13.

The given sequence is,

2, 5, 9, 14, 27

We can see that the difference between each consecutive number is increasing.

The difference between 2 and 5 is 3,

The difference between 5 and 9 is 4,

The difference between 9 and 14 is 5,

And the difference between 14 and 27 is 13.

Therefore, it's possible that the next number in the sequence could have a difference of 14 or more.

So,

To determine the missing number,

We can look at the pattern of the differences between the numbers in the sequence.

Since the difference between 14 and 27 is 13,

We can assume that the difference between the missing number and 27 is at least 14.

Therefore, we can subtract 14 from 27 to get our missing number, which is 13.

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WORTH 21 POINTS!!! Find the area of the shaded regions

Answers

Answer:

84.823005

Step-by-step explanation:

π6^2=113.09734

(360-90)/360=3/4

3/4* 113.09734=84.823005

Step-by-step explanation:

area of circle=

[tex]\pi \: r ^{2} [/tex]

22/7×6×6=113.14

=3/4of 113.14

=84.55cm²

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