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denpristay [2]
3 years ago
12

10th grade volume of prisms

Mathematics
1 answer:
fredd [130]3 years ago
5 0
The formula for volume of prism: \frac{1}{2} * <span>length * width * height.
0.5 * 4 * 6 = </span>12

To work out length divide area by the triangle size:
120 / 12 = 10,
So the answer is 10mm.

Hope this helps.
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Amy has 20 quarters.sodas cost $.75 write an expression for how many quarters Amy has left after buying D amount of sodas
vitfil [10]

The expression x=20-3D will present the amount Amy has left after buying D sodas.

Step-by-step explanation:

Given,

Total amount = 20 quarters

Cost of sodas = $0.75 = 0.75*100 = 75 cents

25 cents = 1 quarter

1 cent = \frac{1}{25}\ quarter

75 cents = \frac{1}{25}*75 = 3 quarters

Amount of D sodas = 3D

Let x be the amount left with Amy.

Amount left = total amount - Amount of D sodas

x=20-3D

The expression x=20-3D will present the amount Amy has left after buying D sodas.

Keywords: fractions, subtraction

Learn more about subtraction at:

  • brainly.com/question/2977815
  • brainly.com/question/3071107

#LearnwithBrainly

7 0
3 years ago
Five times the sum of a number and 27 is greater than or equal to six times the sum of that
AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

  • <em>Five times the sum of a number and 27  </em>is written as: 5(x + 27)
  • <em>greater than or equal </em>is written as:  \geq
  • <em>six times the sum of that number and 26'  </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

solving

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

<em />5x+135\ge \:6x+156<em />

<em />5x+135-135\ge \:6x+156-135<em />

<em />5x\ge \:6x+21<em />

<em />5x-6x\ge \:6x+21-6x<em />

<em />-x\ge \:21<em />

<em />\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}<em />

<em />\left(-x\right)\left(-1\right)\le \:21\left(-1\right)<em />

<em />x\le \:-21<em />

Therefore,

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

6 0
3 years ago
When rounding to the nearest tenth, which of the numbers below will round to 78.5? S
notsponge [240]
78.45 or 78.46 or 78.47 or 78.48 or 78.49
3 0
3 years ago
Read 2 more answers
Last month, Jasmine's family drove to a resort in the mountains. They drove 240 mi. On the first day of the trip. On the second
Monica [59]

Answer:

1000 miles

Step-by-step explanation:

Given the following :

Number of miles driven :

First trip = 240 miles

Second day = 205 miles

Third day = 315 miles

Fourth day; miles driven before arriving at their final destination = 220 miles

Total number of miles driven after 4 days before reaching their destination :

(240 + 205 + 315 + 220) = 980 miles

However, they still haven't reached their destination ;

Using front end estimation :

We can take the total miles recorded and make an estimation based on the first digit of the recorded miles traveled:

In other to estimate 980 using front end estimation : the actual number is replaced with a number with only one nonzero digit (which is the first digit)

Hence,

980 - - - - > we round the digit after 9 either 1 or 0, since it is greater than 4, then it is rounded to and added to the first digit, all subsequent dots are rounded to zero

Hence 980 - - - - > 1000

Hence, estimated miles driven = 1000 miles

8 0
3 years ago
Determine whether the graph of f(x) is a sinusoid.<br> f(x) = sin 20x + cos 8x
vodomira [7]

Answer

b. No

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is a sinusoid.

The function is

f(x) =  sin(20*x) + cos(8*x)

Which can be seen in the picture below

We can notice that f(x) is a not sinusoid. It has periodic amplitudes, and the function has a period T = π/2

The maximum and minimum values are

Max = 1.834

Min = -2

5 0
3 years ago
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