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Soloha48 [4]
2 years ago
7

Add the two expressions.

Mathematics
1 answer:
sattari [20]2 years ago
6 0

Answer:

5.29

Step-by-step explanation:

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A stand is a frustum shape, formed by removing a small square-based pyramid from the top of
kupik [55]

The frustum can be considered as consisting of a square pyramid, less the

cut volume.

  • The mass of the stand, is approximately 18.60905 kg

Reasons:

The given parameter of the frustum are;

The density of the frustum, ρ = 85 g/cm³

Height of pyramid, h = 9 cm

Side length of base = 10 cm

Height of frustum

By proportional shapes, the side length of the top of the frustum can be found as follows;

\dfrac{4 \, cm}{9 \, cm} = \dfrac{x}{10 \, cm}

x = \dfrac{4 \, cm}{9 \, cm} \times 10 \, cm = 4\frac{4}{9} \, cm

V = \dfrac{h}{3} \times \left(B_1 + B_2 + \sqrt{B_1 \times B_2} \right)

B₁ = 10², B₂ = \left(4\frac{4}{9} \right)^2

Therefore;

V = \dfrac{4}{3} \times \left(10^2 + \left(4\frac{4}{9}  \right)^2  + \sqrt{10^2 \times  \left(4\frac{4}{9}  \right)^2} \right) \approx 218.93

The volume of the stand, V ≈ 218.93 cm³

Mass = Volume × Density

∴ Mass of the stand, m = 218.93 cm³ × 85 g/cm³ = 18,609.05 grams = 18.60905 kg.

Learn more here:

brainly.com/question/24323975

8 0
3 years ago
Malkia is thinking of a mystery number. She cuts it in half then adds 5. The result is 24. Determine the mystery number. I need
White raven [17]

Answer:38

Step-by-step explanation:if you take 24 and subtract the five she added, it gives you 19 and since she divided it by two you would multiply it by two to get the original number she was thinking of

Hope this helps :)

6 0
3 years ago
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What is the measure of angle XYZ?
Ierofanga [76]

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

6 0
3 years ago
What is the mode of this data set?
Bess [88]
The mode of the data set is 68
6 0
2 years ago
A basketball is dropped from a height of 330 feet. The function f(x) =330 (0.4)x gives the height of each bounce, where x is the
faust18 [17]

Answer:

idk

Step-by-step explanation:

i 123456788==3-4=2-5=06=20=0-54092=

Dont know 125887q2=5268-2654&+^[email protected]+^25^5#1=^5=2+56=426+

7 0
3 years ago
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