All categories

2 years ago

1. The scale on a map reads 3 inches = 25 miles.

Mathematics

1 answer:

KonstantinChe [14]2 years ago

3 0

Answer:

D. 62.5

Step-by-step explanation:

2 ways

7.5 ÷ 3 = 2.5

25 times 2.5 = 62.5

3/7.5 = 25/x

3x = 187.5

187.5 ÷ 3 = 62.5

You might be interested in

Show how to solve 8x^2+14x+5=0 by completing the square.

Phoenix [80]

8 x² + 14 x + 5 = 0
2 ( 4 x² + 7 x ) = - 5
2 ( 4 x² + 7 x + 49/16 - 49/16 ) = -5
2 ( 4 x² + 7 x + 49/16 ) - 98/16 = - 5
2 ( 2 x + 7/4 )² = - 5 + 98/16
2 ( 2 x + 7/4 )² = -80/16 + 98/16
2 ( 2 x + 7/4 )² = 18/16 = 9/8 / : 2
( 2 x + 7/4 )² = 9/16 / √
2 x + 7/4 = 3/4
2 x = 3/4 - 7/4 = -1
x = - 1
and 2 x + 7/4 = -3/4
2 x = -7/4 - 3/4 = - 10/4= -5/2
x = - 5 / 4

8 0

3 years ago

Write each complex number in rectangular form. a. 2(cos(135)+i sin(135)) b. 3(cos(120))+i sin(120)) c. 5(cos(5pi/4)+i sin(5pi/4)

bagirrra123 [75]

$\bf r\left[ cos\left( \theta \right)+i\ sin\left( \theta \right) \right]\quad 
\begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )
\end{cases}\implies 
\begin{array}{llll}
x&,&y\\
a&&b
\end{array}\implies a+bi\\\\
-------------------------------\\\\
2\left[ cos\left( 135^o\right)+i\ sin\left( 135^o\right) \right]\impliedby r=2\qquad \theta =135^o
\\\\\\
2\left( -\frac{\sqrt{2}}{2} \right)+i\ 2\left( \frac{\sqrt{2}}{2}\right)\implies -\sqrt{2}+\sqrt{2}\ i$

$\bf -------------------------------\\\\
3\left[ cos\left( 120^o\right)+i\ sin\left( 120^o\right) \right]\impliedby r=3\qquad \theta =120^o
\\\\\\
3\left( -\frac{1}{2} \right)+i\ 3\left( \frac{\sqrt{3}}{2}\right)\implies -\frac{3}{2}+\frac{3\sqrt{3}}{2}\ i$

$\bf \\\\
-------------------------------\\\\
5\left[ cos\left( \frac{5\pi }{4}\right)+i\ sin\left( \frac{5\pi }{4}\right) \right]\impliedby r=5\qquad \theta =\frac{5\pi }{4}
\\\\\\
5\left( -\frac{\sqrt{2}}{2} \right)+i\ 5\left( -\frac{\sqrt{2}}{2}\right)\implies -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\ i$

$\bf -------------------------------\\\\
4\left[ cos\left( \frac{5\pi }{3}\right)+i\ sin\left( \frac{5\pi }{3}\right) \right]\impliedby r=4\qquad \theta =\frac{5\pi }{3}
\\\\\\
4\left( \frac{1}{2} \right)+i\ 4\left( -\frac{\sqrt{3}}{2}\right)\implies \frac{1}{2}-\frac{\sqrt{3}}{2}\ i$

3 0

3 years ago

Jane is going to fence in her back yard. She has purchased 150 feet of

Alborosie

D. x+ 40 = 150 this is the answer

7 0

4 years ago

Solve for x and y 4x, 15 X + 12, 3y<br>(it's for a parallelogram)

yan [13]

Answer:

done on peace of paper

Step-by-step explanation: bro this was so easy how do you not know this

7 0

3 years ago

Claire is going to invest $2,600 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what

Bogdan [553]

Answer:

Rate of interest r = 2.83 % (Approx.)

Step-by-step explanation:

Given:

Amount invested p = $2,600

Amount get A = $4,300

Number of year n = 18

Find:

Rate of interest r

Computation:

A = p(1+r)ⁿ

4,300 = 2,600(1+r)¹⁸

(1+r)¹⁸ = 1.653846

Rate of interest r = 2.83 % (Approx.)

8 0

3 years ago

Read 2 more answers