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Inessa05 [86]
3 years ago
12

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

41 units

Step-by-step explanation:

Rectangles have right angles, so we can use Pythagorean theorem to find the diagonal.

c² = a² + b²

c² = 9² + 40²

c² = 81 + 1600

c² = 1681

c = 41

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statuscvo [17]
<h2><em><u>Solution</u></em> : </h2>

let the last number be x

we know,

\boxed{mean =  \frac{sum \:  \: of \:  \: all \:  \: observations}{number \:  \: of \:  \: observations} }

So,

\hookrightarrow \: 8 =  \dfrac{22 + x}{4}

\hookrightarrow \: 8 \times 4 = 22 + x

\hookrightarrow \: 32 = 22 + x

\hookrightarrow \: x = 32 - 22

\hookrightarrow \: x = 10

therefore, the last number is 10.

7 0
3 years ago
Quadrilateral QRST, with vertices Q (1, 2), R (3, 4), S (5, 6), and T (2, 7), is dilated by a factor of 2 with the center of dil
bija089 [108]

Answer:

Step-by-step explanation:

Given

Quadrilateral QRST

Q (1, 2), R (3, 4), S (5, 6), and T (2, 7)

Dlated Factor = 2

Required

Coordinates of quadrilateral Q′R′S′T′

<em>Provided that a quadrilateral is dilated with the center of dilation at the origin; the new dilated shape is simply the multiplication of the dilation factor by the coordinates of the original shape;</em>

<em />

In other words,

Q'R'S'T' = Dilation factor * QRST

When Q = (1,2)

Q' = 2 * (1,2)

Q' = (2,4)

When R = (3,4)

R' = 2 * (3,4)

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When S = (5,6)

S' = 2* (5,6)

S' = (10,12)

When T= (2,7)

T'  = 2 * (2,7)

T' = (4,14)

Hence, the coordinates of Q'R'S'T' is

Q' = (2,4); R' = (6,8); S' = (10,12); T' = (4,14)

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ASAP... If u scam me :( I will report you :(
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Hope this helps! Merry Christmas!✨❤️
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Simplify:<br> -3/8+ (-1/4)
Salsk061 [2.6K]
Answer:

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Decimal form: -0.125
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