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3 years ago

Find the diagonal of the rectangular solid

Mathematics

1 answer:

earnstyle [38]3 years ago

4 0

There are four (4) diagonals: 3 face diagonals and one space diagonal. We assume you are interested in the space diagonal.

The face diagonal of the 3×4 face has length
d₃₄ = √((3 ft)² +(4 ft)²) = √(25 ft²) = 5 ft

Taking the 5 ft edge and the 5 ft face diagonal as sides of the triangle with the space diagonal as its hypotenuse, we find the length of the space diagonal to be
d = √((5 ft)² +(5 ft)²)
d = 5√2 ft

The space diagonal of the rectangular solid is 5√2 ft ≈ 7.07 ft.

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for what value of the variable the value of the expression 4(5x-8) is 4 more than the value of the expression 2(4-x)

Zigmanuir [339]

Answer:

For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)

Step-by-step explanation:

Given expressions are;

4(5x-8) and 2(4-x)

For 4 more than the second expression, we will add 4 with second expression.

4(5x-8) = 2(4-x) + 4

20x - 32 = 8 -2x +4

20x + 2x = 12 + 32

22x = 44

Dividing both sides by 22

$\frac{22x}{22}=\frac{44}{22}\\x=2$

Hence,

For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)

7 0

3 years ago

Find the slope of a line that passes through the points (3, -1) and (-2, -5)

aleksklad [387]

Yo sup??

slope of a line=m

m=y2-y1/x2-x1

=-2-3/-5-(-1)

=1/4

Hope this helps

7 0

3 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Serjik [45]

Answer:

Step-by-step explanation:

the side with 12 and on the smaller triangle and the side with 16 on the larger triangle are corresponding.

6 0

2 years ago

Show all work and reasoning

Natalija [7]

Split up the interval [2, 5] into $n$ equally spaced subintervals, then consider the value of $f(x)$ at the right endpoint of each subinterval.

The length of the interval is $5-2=3$ , so the length of each subinterval would be $\dfrac3n$ . This means the first rectangle's height would be taken to be $x^2$ when $x=2+\dfrac3n$ , so that the height is $\left(2+\dfrac3n\right)^2$ , and its base would have length $\dfrac{3k}n$ . So the area under $x^2$ over the first subinterval is $\left(2+\dfrac3n\right)^2\dfrac3n$ .

Continuing in this fashion, the area under $x^2$ over the $k$ th subinterval is approximated by $\left(2+\dfrac{3k}n\right)^2\dfrac{3k}n$ , and so the Riemann approximation to the definite integral is

$\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n$

and its value is given exactly by taking $n\to\infty$ . So the answer is D (and the value of the integral is exactly 39).

8 0

3 years ago

I need help please and thx you

NARA [144]

Answer:

1- 3/4

2- 5/6

3- 2/3

4- 7/10

Step-by-step explanation:

1= a

2=b

3=c

4=d

__________

4 0

3 years ago

Read 2 more answers