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Irina-Kira [14]
3 years ago
8

Find the diagonal of the rectangular prism.

Mathematics
1 answer:
KiRa [710]3 years ago
3 0

Answer:

First diagonal: 7.874

Second diagonal: 8.3666

Step-by-step explanation:

We use the Pythagorean Theorem to find these.

First diagonal = 5²+6²=c²

25+36=c²

61=c²

√61=c

c=7.874

Then we use that to find the second diagonal.

7.874²+3²=c²

61+9=c²

70=c²

√70=c

c=8.3666

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Which number line represtents the solution to |x+4|=2?​
vlada-n [284]

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x

To solve the equation, you need to treat the two cases as above:

|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

7 0
3 years ago
Write the standard form of the line that has a slope of -3/4 and y-intercept of -2. Include your work in your final answer. Type
Nataliya [291]

3x + 4y = - 8

The equation of a line in standard form is Ax + By = C

where A is a positive integer and B, C are integers

Express the line in ' slope- intercept form '

y = mx + c → (m is the slope and c is the y-intercept)

here m = - \frac{3}{4} and c = - 2

hence y = - \frac{3}{4} x - 2 → equation in slope- intercept form

multiply all terms by 4

4y = - 3x - 8

add 3x to both sides

3x + 4y = - 8 → in standard form


7 0
3 years ago
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How to equal 5 using the numbers 24,6,9,3,2
AfilCa [17]
24 divided by 6 plus 9 subtract 3 divide 2 =5
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3 years ago
Mr. Ramirez orders drumsticks and sheet music for a group of students. One pair of drumsticks costs $1. 50, and the sheet music
diamong [38]

Answer:

Step-by-step explanation:

It expresses how much money he had to pay in total for the sheet music and drumsticks altogether.

Have an amazing day!

Please mark brainliest!

8 0
2 years ago
#5. What's the difference between a terminating decimal and non-terminating<br> decimal?
frez [133]

Answer:

A terminating decimal ends while a non-terminating decimals repeats itself.

Step-by-step explanation:

2.50-terminating decimal

2.3333...-non-terminating decimal

7 0
3 years ago
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