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dsp73
4 years ago
15

Rectangle LMNO is similar to rectangle PQRS. What is the length of segment QP?

Mathematics
1 answer:
kherson [118]4 years ago
6 0
29.75/8.5=x/4.5
using the "butterfly method"
8.5x=133.875
 /8.5  /8.5
x=15.75

You have to make a proportion
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A curve in polar coordinates is given by: r=9+3cosθ. Point P is at θ=21π/18 .?
ikadub [295]

Answer:

Step-by-step explanation:

Given that a curve in polar coordinates is given by:

r=9+3cosθ

a) At point P, we have

θ=\frac{21\pi}{18}

Substitute to get

r=9+cos \frac{21\pi}{18}\\=9.3932

b) Cartesian coordinate is

x= rcos \theta=3.6934\\y =r sin \tjeta =8.6365

c) At the origin r =0

when r =0

we have

9+3cos\theta=0\\cos\theta =-3

Since cos cannot take values as -3 it doe snot pass through origin.

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3 years ago
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
maw [93]

Answer:

12 and 13

Step-by-step explanation:

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3 years ago
A survey of high school juniors found that 82% of students plan on attending college. If you pick three students at random, what
cupoosta [38]
<span> binomdist with n = 3, p = 0.82, q = 1-0.82 = 0.18
P[≥2] = P[2] + P[3] = 3c2 *0.82^2*0.18 + 0.82^3 ≈ 91%
hope it helps
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6 0
3 years ago
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If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
grin007 [14]

Answer:

\huge\boxed{SA=2466\ (mm^2)}

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

SA=2(lw+lh+wh)

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

<em />

We have:

l=39mm;\ w=12mm;\ h=15mm

Substitute:

SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)

5 0
3 years ago
Does anyone know the answer to this.
gayaneshka [121]

Answer:

D

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

FIRST STEP:

4*3 =12

6.5*3 =19.5

SECOND STEP:

21*12*19.5 =4914

4 0
3 years ago
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