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3 years ago

In the cube shown below, the distance between vertices 2 and 6 is 17 cm.

Mathematics

1 answer:

AlladinOne [14]3 years ago

8 0

Answer:

256 sq cm

Step-by-step explanation:

cube is a three-dimensional figure with six congruent square faces. Since each face is congruent, each of the edges have the same length.

The cross-section described is shown below.

The cross-section is also a square which is congruent to the other faces of the cubes. Therefore, the edges of the cross-section will each measure 16 cm. Find the area by using the formula for the area.

A=lw

=(16cm) (16cm)

=256 sq cm

So, the area of the cross-section is 256 sq cm.

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In 2018, the number of students at The Villages High School was 975 and is increasing at a rate of 2.5% per year. Write and use

avanturin [10]

Answer:

$A(t)=975(1.025)^t$

In 2025,the number of students at the villages high school=1159

Step-by-step explanation:

We are given that in 2018

Number of students at the villages high school=975

Increasing rate,r=2.5%=0.025

We have to write and use of exponential growth function to project the populating in 2025.

$A_0=975,t=0$

According to question

Number of students at the villages high School is given by

$A(t)=A_0(1+r)^t$

Substitute the values

$A(t)=975(1+0.025)^t=975(1.025)^t$

t=7

Substitute the value

Then, the number of students at the villages high school in 2025

$A(7)=975(1.025)^7=1158.96\approx 1159$

8 0

3 years ago

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What is 3/5 + 1/2? As in fractions, I can’t figure it out!! :(

ella [17]

Step-by-step explanation:

$\frac{3}{5} + \frac{1}{2} \\ \\ = \frac{3 \times 2 + 1 \times 5}{5 \times 2} \\ \\ = \frac{6 + 5}{10} \\ \\ = \frac{11}{10} \\ \\ = 1 \frac{1}{10}$

5 0

4 years ago

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Sergeu [11.5K]

Answer:

5 pints per hour.

Step-by-step explanation:

Morning:

Given:

Number of strawberries packed in every 4 minutes = 3

∴ Number of strawberries packed in every one minute = $\frac{3}{4}$

So, number of strawberries packed in every 60 minutes = $\frac{3}{4}\times 60=45$

1 hour = 60 minutes.

So, strawberries are packed at a rate of 45 pints per hour in the morning.

Afternoon:

Number of strawberries packed in every 3 minutes = 2

∴ Number of strawberries packed in every one minute = $\frac{2}{3}$

So, number of strawberries packed in every 60 minutes = $\frac{2}{3}\times 60=40$

1 hour = 60 minutes.

So, strawberries are packed at a rate of 40 pints per hour in the afternoon.

Difference between the packing rates is given as:

Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.

So, she packed 5 more pints in one hour in the morning than in the afternoon.

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3 years ago

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Pavlova-9 [17]

Step-by-step explanation:

Formula:- 4/3*Pi*r^3

= 4/3*22/7*(1/2)^3

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3 years ago

Callie borrowed $35 from her sister. It will take her 7 weeks to pay off her debt. How much money will she pay her sister each w

Dmitriy789 [7]

Answer:

Step-by-step explanation:

35 in total, sliced into 7 equal parts (1 per week).

so, each weekly part is therefore 35/7 = 5.

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3 years ago