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Ahat [919]
2 years ago
10

What is the length of the diagonal, d, of the rectangular prism shown below?

Mathematics
2 answers:
bearhunter [10]2 years ago
5 0

Answer:

10 (8.06)

Step-by-step explanation:

H^2 = p^2 + B^2

H^2 = (7^2) + (4^2)

= \sqrt{65\\

= 0.8622

round off to 10

Pani-rosa [81]2 years ago
4 0

Answer:

The answer is 8.3

Step-by-step explanation:

(I'm not that good at explaining things so bear with me please. I checked on Khan Academy so it's right)

I split the box on the right diagonally and got the equation

4^{2} + 2^{2} = x^{2}

=16 + 4 =\sqrt{20}

≈4.5

The new triangle will help solve what d is

4.5^{2} + 7^{2} = d^{2}

=20.25 +49 = \sqrt{69.25}

≈8.3

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3 years ago
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denis-greek [22]

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7 0
2 years ago
X + 2y = –6<br> 3x + 8y = –20
Kay [80]
What do you want to calculate?

CALCULATE IT!
Solve
Graph
Lesson

Problem:
Solve
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Step: Solve
x
+
2
y
=
−
6
for x:
x
+
2
y
+
−
2
y
=
−
6
+
−
2
y
(Add -2y to both sides)
x
=
−
2
y
−
6
Step: Substitute
−
2
y
−
6
for
x
in
3
x
+
8
y
=
−
20
:
3
x
+
8
y
=
−
20
3
(
−
2
y
−
6
)
+
8
y
=
−
20
2
y
−
18
=
−
20
(Simplify both sides of the equation)
2
y
−
18
+
18
=
−
20
+
18
(Add 18 to both sides)
2
y
=
−
2
2
y
2
=
−
2
2
(Divide both sides by 2)
y
=
−
1
Step: Substitute
−
1
for
y
in
x
=
−
2
y
−
6
:
x
=
−
2
y
−
6
x
=
(
−
2
)
(
−
1
)
−
6
x
=
−
4
(Simplify both sides of the equation)
Answer:
x
=
−
4
and
y
=
−
1
3 0
3 years ago
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