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4 years ago

Find a fraction between 3/4 and 4/5

1 answer:

7 0

First, find a common denominator: 40 then, convert the fractions: 30/40 and 32/40 between those two, it would be 31/40 answer: 31/40

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For the given true statements, what can you conclude?

sergey [27]

The answer is QR+RS=QS

4 0

3 years ago

Read 2 more answers

The vertical angle to the top of a flagpole from point A on the ground is observed to be 37°11'. The observer walks 17 m directl

inysia [295]

Answer:

22m

Step-by-step explanation:

Let height of flagpole=h

AB==17 m

$\angle CAD=37^{\circ}11'=37+\frac{11}{60}=37.183^{\circ}$ (1 degree= 60 minute)

$\angle B=25^{\circ}43'=25+\frac{43}{60}=25.72^{\circ}$

We have to find the approximate height of the flagpole.

In triangle CDA,

$\frac{CD}{DA}=tan\theta=\frac{Perpendicular\;side}{Base}$

$\frac{h}{DA}=tan37.183^{\circ}$

$h=DA(0.759)$

In triangle CDB,

$tan 25.72^{\circ}=\frac{CD}{DB}$

$0.482=\frac{h}{DA+17}$

$0.482DA+8.194=h$

Substitute the value

$0.482DA+8.194=0.759DA$

$8.194=0.759DA-0.482DA$

$8.194=0.277DA$

$DA=\frac{8.194}{0.277}=29.58$

Substitute the value

$h=29.58 \times 0.759=22.45 m\approx 22m$

Hence, the height of the flagpole=22 m

3 0

3 years ago

Write a word phrase for the algebraic expression 3x -7<br><br> Can you write it in word form

neonofarm [45]

The answer would be “three times negative seven

8 0

4 years ago

Evaluate the expression (x-2y)^2where x=3and y=2

zimovet [89]

X = 3

y = 2

$(x-2y)^2 = (3-(2*2))^2 = (3-4)^2 = (-1)^2 = -1*-1 = 1$

Hence, the answer is 1.

6 0

4 years ago

Assume X and Y are independent random variables with the following distributions:

allsm [11]

Answer:

Step-by-step explanation:

Given that X and Y are independent random variables with the following distributions:

x -1 10 1 2 Total

p 0.3 0.1 0.5 0.1 1

xp -0.3 1 0.5 0.2 1.4

x^2p 0.3 10 0.5 0.4 11.2

Mean of X = 1.4

Var(x) = 11.2-1.4^2 = 9.24

y 2 3 5

p 0.6 0.3 0.1 1

yp 1.2 0.9 0.5 0 2.6

y^2p 2.4 2.7 2.5 0 7.6

Mean of Y = 2.6

Var(Y) = 11.2-1.4^2 = 0.84

3) W=3+2x

Mean of w =3+2*Mean of x = 7.2

Var (w) = 0+2^2 Var(x)= 36.96

8 0

4 years ago